What is the value of X if the cute angles of a right triangle measure 8X and 12 X
Answers
In a right triangle, the total measure of the acute angles is 90 degrees. If the acute angles are 8x and 12x, then we can say that:
\(8x+12x=90\)From the equation above, we can solve for x.
1. Add similar terms 8x and 12x.
\(20x=90\)2. Divide both sides of the equation by 20.
\(\begin{gathered} \frac{20x}{20}=\frac{90}{20} \\ x=4.5 \end{gathered}\)Therefore, the value of x is 4.5.
Related Questions
On my chicken farm where I have 24 pens, the pens were a bit crowded.
So I built 6 more pens, and the number of chickens in each pen reduced
by 6. How many chickens do I
A HUNDRED POINTS
Answers
The number of chickens on the farm will be 180.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
On my chicken farm where I have 24 pens, the pens were a bit crowded.
So I built 6 more pens, then
The total number of pens in the farm = 24 + 6 = 30
6 chickens in each pen
So, 6 x 30 = 180 chickens.
Hence, The number of chickens on the farm will be 180.
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An English instructor asserted that students' test grades are directly proportional to the amount of time spent studying.
Lisa studies 6 hr for a particular test and gets a score of 76. At this rate, how many hours would she have had to
study to get a
score of 91?
Answers
Answer:
7.18421051
Step-by-step explanation:
76 ÷ 6 = 12.6666667
91 ÷ 12.6666667 = 7.18421051
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162.50 if this represented a 6.5% increase what is her monthly salary after the raise
Answers
9514 1404 393
Answer:
2662.50
Step-by-step explanation:
Let s represent her old salary. Then we have ...
0.065s = 162.50
s = 162.50/0.065 = 2500
Then her new monthly salary is ...
new salary = old salary + raise
new salary = 2500 +162.50
new salary = 2662.50
The heights of the girls in Leila’s class to the nearest 1/2 inch are: 56 1/2,57,56 1/2,58,58,57 1/2,57 1/2,57,58 1/2, and57.Leila makes a dot plot of data. How many different heights will be included on the number line
Answers
If Leila makes a dot plot of the heights of the girls in her class to the nearest ¹/₂ inch, the number of different heights that will include on the number line is 5.
What is a dot plot?A dot plot is a data visualization tool that consists of data points plotted as dots on a graph with an x- and y-axis.
The number of dots plotted on each number line shows the frequency of the data group.
Height Frequency Cumulative Frequency
56¹/₂ 2 2
57 2 4
57¹/₂ 2 6
58 2 8
58¹/₂ 1 9
Thus, arranging the heights according to groups, the different heights on the number line can be classified into 5.
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NO LINKS!!!
Basics of Transformations
Students were asked to create true statements about transformations. Circle the names of the students who correctly completed the task. Then, unscramble the underlined letters of the circled names to answer riddle of the bottom.
Answers
Answer:
The 6 names to circle are:
LavernaAlfonsoAutumnIgnacioKathyrnLawrenceThe underlined letters from those circled names are:
RNONTUGRNWRThe letters form the phrase \(\underline{\text{WR}}\ \underline{\text{ON}} \ \underline{\text{G}} \ \ \ \ \ \ \underline{\text{TU}} \ \underline{\text{RN}}\) or "wrong turn". The spacing is done like that in the first version to show the various subgroups of letters.
Unfortunately the mentioned riddle at the bottom is cut off, so I don't know what the riddle is.
======================================================
Explanation:
Laverna is correct because a translation is applied. "Translation" in geometry settings means "shifting up/down/left/right". In this case, triangle JKL is shifted 5 units right and 3 units up.Alfonso is correct. If a figure is labeled ABCD going in clockwise orientation, then a translation will preserve said orientation. The orientation only flips when a reflection occurs.Autumn is correct. Why? Because reflections are isometries, meaning they preserve distances and lengths and angles. In other words, the two triangles are twin clones of each other.Willa is not correct. The prime notations go on the image and NOT the preimage. In other words, the prime notations go for the "after" and not the "before". Example: triangle JKL in Laverna's diagram is the preimage, while J'K'L' is the image. JKL is "before", and J'K'L' is "after".Ignacio is correct. The figure enlarges or shrinks (depending on the scale factor if its larger than 1, or smaller than 1). The orientation stays the same. Refer to Alfonso's scenario where I mentioned the orientation flipping only when a reflection happens.Napoleon is incorrect. A reflection ALWAYS changes the orientation. Consider a triangle ABC where the motions from A to B to C goes clockwise. A reflection will flip the orientation to make A to B to C go counterclockwise. Example: Reflections over non-horizontal lines swap the positions of left vs right, which is another way to see why the orientation swaps as well.Kathyrn is correct assuming no reflection operations are done.Titus is not correct. A rotation is not the same as a reflection. Though I should point out that two reflections simplify to a rotation. The mirror lines must intersect in some way. Parallel mirror lines will have two reflections lead to a translation.Lawrence is correct. The order P,Q,R is clockwise, and so is the order P', Q', R'. A rotation preserves orientation. In this case, a 180 degree rotation has been done. The rule for that is any (x,y) point turns into (-x,-y).Here's a summary table:
\(\begin{array}{|c|c|} \cline{1-2}\text{Student} & \text{Are They Correct?}\\\cline{1-2}\text{Laverna} & \textbf{Yes}\\\cline{1-2}\text{Alfonso} & \textbf{Yes}\\\cline{1-2}\text{Autumn} & \textbf{Yes}\\\cline{1-2}\text{Willa} & \text{No}\\\cline{1-2}\text{Ignacio} & \textbf{Yes}\\\cline{1-2}\text{Napoleon} & \text{No}\\\cline{1-2}\text{Kathyrn} & \textbf{Yes}\\\cline{1-2}\text{Titus} & \text{No}\\\cline{1-2}\text{Lawrence} & \textbf{Yes}\\\cline{1-2}\end{array}\)
Put another way, here are the people to circle (i.e. the people who made true statements):
LavernaAlfonsoAutumnIgnacioKathyrnLawrenceIn the order presented above, the letters underlined are:
RNONTUGRNWRThrough a bit of trial and error, the letters make the phrase of:
\(\underline{\text{WR}}\ \underline{\text{ON}} \ \underline{\text{G}} \ \ \ \ \ \ \underline{\text{TU}} \ \underline{\text{RN}}\)
I'm not sure what to do with the extra "RN". It might be a typo, or it might be the case your teacher wants you to ignore repeats like this.
Drawing a number divisible by 3 then drawing a 1
Answers
Answer:
Step-by-step explanation:
The probability of drawing a number that is divisible by 3 is 1/3, since there are 3 numbers (3, 6, and 9) out of the 9 possible numbers (1, 2, 3, 4, 5, 6, 7, 8, and 9) that are divisible by 3.
The probability of drawing a 1 after drawing a number that is divisible by 3 is 1/10, since there is only one 1 among the 10 possible digits (0-9) that could be drawn after the first number.
To find the probability of both events happening together (drawing a number divisible by 3 and then drawing a 1), we need to multiply the probability of the first event by the probability of the second event. Therefore, the probability of drawing a number divisible by 3 and then drawing a 1 is:
(1/3) x (1/10) = 1/30
So the probability of drawing a number divisible by 3 and then drawing a 1 is 1/30, or approximately 0.0333, or about 3.33%
Answer:
If I understand this correctly you can draw a 9 and then draw the one if I'm wrong just delete this
Step-by-step explanation:
5/9+ (-4/5)
A. 1/4
B. 11/45
C. -9/14
D. -11/45
PLEASE HELP ILL GIVE BRAINLIST
Answers
Simplify 3(x+2) + 2x + 5
Answers
Answer:
\(5x+11\)
Step-by-step explanation:
Step 1: Distribute
\(3x+6+2x+5\)
Step 2: Add like terms
\(5x+11\) < your answer
does anyone understand this
Answers
For this problem, 0.25 in = 50 m. So
11 in = (11 in) • (50/0.25 m/in) = 2200 m
Alternatively, if 0.25 in = 50 m, that means 1 in = 200 m. So 11 in = 11 (200 m) = 2200 m.
On the following composite figure, the longer edge length is 14 millimeters. The shorter edge length is 8 millimeters. The width of the figure, at its longest point, is 11.3 millimeters. Find the area of the figure. Explain or show how you got your answer. Note: Lines that look parallel are parallel, and angles that look like right angles are right angles.
Answers
Answer:
158.2 mm^2
Step-by-step explanation:
You can think of this figure as a rectangle in which a triangle from the bottom was moved to the top.
The area of the figure is the area of the rectangle.
A = LW = 14 mm * 11.3 mm = 158.2 mm^2
I am lost on this question i found both but it keeps on telling me i am incorrect
Answers
Answer:
I have completed the answers and attached them to the explanation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The question asks for a subtraction expression:
length is always a positive number so bigger number first here.
OB = 4-(-1) >only moves in x direction so subtract x's
AB = 4-(-2) >only moves in y direction so subtract y's
if m<xyz = 58 and m<wxz = 51 find m<wzx
Answers
Answer:
m<wzx = 71
Step-by-step explanation:
Assuming these are interior angles of a triangle.
The sum of all three interior angles of a triangle is always 180 degrees, therefore:
m<xyz + m<wxz + m<wzx = 180
Substitute our values:
58 + 51 + m<wzx = 180
m<wzx = 180 - 58 - 51
m<wzx = 71
Which values of a b and c correctly represent the answer in simplest form 3 1/4 divided by 2 3/8 equals a b/c. ( PLEASE HURYYYYY)
Answers
Answer:
Step-by-step explanation:
1. Put the words into math
3 3 1/4 divided by 2 3/8 equals a b/c.= 3 1/4/2 3/8
3 1/4/2 3/8=
1 7/19
2. Answer: 1 7/19
How many commutes are exactly 68 minutes
Answers
Answer:
three
Step-by-step explanation:
stem. is the tens place and the leaf is the. ones place
so you want to find 68 so you look in the stem column and look for six
in the row there are 6 numbers which mean:
60, 61, 67, 68, 68, 68
as you can see there is three 68 there for the answer ths 3
Look at the figure:
An image of a right triangle is shown with an angle labeled x.
If tan x° = a divided by 4 and cos x° = 4 divided by b what is the value of sin x°?
sin x° = 4b
sin x° = b divided by a
sin x° = 4a
sin x° = a divided by b
Answers
By using trigonometric functions, the value of \(\sin \text{x}^\circ\) is \(\frac{\text{a}}{\text{b}}\).
What are trigonometric functions?Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trig functions. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant.
Given
\(\sin \text{x}^\circ= \ ?\)
\(\tan \text{x}^\circ=\dfrac{\text{a}}{4}\)
\(\cos \text{x}^\circ=\dfrac{4}{\text{b}}\)
Formula to find \(\sin \text{x}^\circ\)
\(\sin \text{x}^\circ=\dfrac{\text{Opposite}}{\text{Hypotenuse}}\)
\(\rightarrow\sin \text{x}^\circ=\bold{\dfrac{a}{b}}\)
Therefore, by using trigonometric functions, the value of \(\sin \text{x}^\circ\) is \(\frac{\text{a}}{\text{b}}\).
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I NEED THE ANSWER FOR THIS INEQUALITY ASAP 30+6r ≤ 100
Answers
don't mind the dirty white board lol
A parking garage charge is five dollars +2 dollars per hour you have $16 to spend for parking how many hours can you park
Answers
Answer:
2 hours
Step-by-step explanation:
Answer:
Just about 2 hours, 16 minutes, and 30 seconds.
Look at it this way:
If you are paying 7 an hour to park, and you brought 16, how many hours could you stay parked?
Divide 16 by 7
16 / 7 = 2.28 ≈ 2 hours, 16 minutes
The vertices of triangle ABC are given: A (0;-1) B(12; -10) C(10;4)
Find:
a) the equation of the median and bisector drawn from vertex A;
b) the equation of the altitude from vertex B;
c) the point of intersection of the median and height;
d) the coordinates of the center of mass (the point of intersection of the medians).
Answers
verified
Verified by Toppr
Median bisects the line.
D≡(
2
−3+5
,
2
−9−8
)≡(1,
2
−17
)
E≡(−
2
1+5
,
2
6−8
)≡(2,−1)
F≡(−
2
1−3
,
2
6−9
)≡(−2,
2
−3
)
∴ equation of AD:(y−y
1
)=(
x
2
−x
1
y
2
−y
1
)
AD
(x−x
1
)
⇒(y−6)=
⎝
⎜
⎜
⎛
1+1
2
−17
−6
⎠
⎟
⎟
⎞
(x+1)⇒(y−6)=−
4
29
(x+1)
⇒
4
29
x+y−6+
4
29
=0
AD⇒29x+4y+5=0
equation of BE:(y+9)=(−
2+3
1+9
)
BE
(x+3)
⇒(y+9)=
5
8
(x+3)⇒5y+45=8x+24
BE⇒8x−5y−21=0
Equation of CF:(y+8)=
⎝
⎜
⎜
⎛
−2−5
−
2
3
+8
⎠
⎟
⎟
⎞
CF
(x−5)
⇒(y+8)=−
14
13
(x−5)⇒14y+112=−13x+65
CF:13x+14y+47=0
What is the volume of this figure?
Enter your answer in the box.
yd³
Answers
The volume of the composite figure is
4095 cubic ydHow to find the volume of the composite figureThe volume is calculated by dividing the figure into simpler shapes. and adding the individual volumes
The simple shapes used here include
trapezoid andrectangleVolume of rectangle = length x width x depth
= 30 * 9 * 7
= 1890 cubic yd
Volume of trapezoid = 1/2 (sum of parallel lines) x height x depth
= 1/2 (30 + 19) x 10 x 9
= 2205 cubic yd
Total volume
= 1890 cubic yd + 2205 cubic yd
= 4095 cubic yd
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Write an inequality in slope intercept form from the linear inequality graphed below.
Answers
The inequality represented by the graph in slope intercept form is
y ≤ 2x - 4How to find the inequality the graph representsA graph is a pictorial representation of data and the graph presented represents inequality data
The graph shows a linear function written in the slope intercept form form as
y = mx + c
where slope, m calculated as
c = intercept
x = input variables
y = output variables
calculation of slope
The points used for the slope is gotten from the graph as (2. 0) (0, -4)
m = (y₂ - y₁) / (x₂ - x₁)
substituting the values
= ( -4 - 0 ) / ( 0 - 2 )
= -4 / -2
= 2
y intercept, c
this is a point where the graph cuts the y axis
c = -4
The graph contains
a solid line as result there will be "equal to" attached to the inequality symbol usedshading below the line means less thanthis gives the idea to use less than or equal to written with the symbol ≤
hence the equation is written using y = mx + c and substituting the values
y ≤ 2x - 4
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find the value of m 5m=10: which is the answer 2,50,5
Answers
\(\huge\textbf{Hey there!}\)
\(\huge\boxed{\textbf{5m = 10}}\\\\\large\textbf{DIVIDE 5 to BOTH SIDES}\\\\\huge\boxed{\mathbf{\dfrac{5m}{5} = \dfrac{10}{5}}}\\\\\large\textbf{CANCEL out: }\bold{\dfrac{5}{5}}\large\textbf{ because it gives you 1}\\\large\textbf{KEEP: }\rm{\bf \dfrac{10}{5}}\large\textbf{ because it gives you the m-value}\\\large\textbf{NEW EQUATION: m = }\bf \rm{\dfrac{10}{5}}\\\\\large\textbf{SIMPLIFY IT!}\\\huge\boxed{\mathbf{m = 2}}\\\large\textbf{Therefore, your answer is: \huge\boxed{\mathsf{m = 2}}}\huge\checkmark\)
\(\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}\)
~\(\mathfrak{Amphitrite1040:)}\)2
Select the correct answer from each drop-down menu.
Triangle ABC is shown in the coordinate plane. It is translated 6 units left and 4 units down. Then it is dilated by a scale factor of 3 centered about the
origin. Complete the statements.
-6 -4
v.
6
4-
2-
lo
-2-
-4-
-6-
The translation of triangle ABC
A
2
с
6
B
Reset
The dilation of triangle ABC
Next
Answers
For the transformations of the triangle, we have that:
1. The translation of triangle ABC preserves side lengths and angles.
2. The dilation of triangle ABC preserves angles but not side lengths.
Hence the correct options are, respectively, C and B.
A translation involves shift left, shift right, shift down, or shift up, meaning that just the coordinates of the figure change, not the angles or the side lengths,
1. The translation of triangle ABC preserves side lengths and angles.
For a dilation, the coordinates of the vertices are multiplied by a constant, hence the side lengths change while the angles remain constant, thus:
2. The dilation of triangle ABC preserves angles but not side lengths.
Hence the correct options are, respectively, C and B.
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find the value of (- 7) +(-8)
Answers
Step-by-step explanation:
Given
(-7) + ( -8)
= -7 - 8
= -15
Hope it helps :)
Zoe thinks of a number. She multiplies it by 3 and adds 4. She gets the same answer when she adds 5 to the number and then multiplies the result by 2.
a. Write an equation, using n for Zoe's number.
b. Solve your equation to find Zoe's number.
Answers
Answer:
Zoe's number is 6
Step-by-step explanation:
Let the number be 'n'
a) Multiply 'n' by 3 ⇒ n*3 = 3n
Add 4 to '3n' ⇒ 3n + 4
Add 5 to 'n' ⇒ n +5
Multiply (n+ 5) by 2 ⇒ (n +5)*2 = 2n + 5*2 = 2n + 10
3n + 4 = 2n + 10
b) 3n + 4 = 2n + 10
Subtract 4 form both sides
3n = 2n + 10 - 4
3n = 2n + 6
Subtract 2n from both sides
3n - 2n = 6
\(\sf \boxed{\bf n = 6}\)
Answer:
21 is probably the best answer
Which is true about the solution to the system of inequalities shown? y > 3x + 1 y < 3x – 3 On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded. Only values that satisfy y > 3x + 1 are solutions. Only values that satisfy y < 3x – 3 are solutions. Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions. There are no solutions.
Answers
There are no solutions to the system of inequalities Option (d)
Inequalities are a fundamental concept in mathematics and are commonly used in solving problems that involve ranges of values.
A system of two inequalities is a set of two inequalities that are considered together. In this case, the system of inequalities is
y > 3x + 1
y < 3x - 3
The inequality y > 3x + 1 represents a line on the coordinate plane with a slope of 3 and a y-intercept of 1. The inequality y < 3x - 3 represents another line on the coordinate plane with a slope of 3 and a y-intercept of -3. We can draw these lines on the coordinate plane and shade the regions that satisfy each inequality.
The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.
We can start by analyzing the inequality y > 3x + 1. This inequality represents the region above the line with a slope of 3 and a y-intercept of 1. Therefore, any point that is above this line satisfies this inequality.
Next, we analyze the inequality y < 3x - 3. This inequality represents the region below the line with a slope of 3 and a y-intercept of -3. Therefore, any point that is below this line satisfies this inequality.
To determine which values satisfy both inequalities, we need to find the region that satisfies both inequalities. This region is the intersection of the regions that satisfy each inequality.
When we analyze the regions that satisfy each inequality, we see that there is no region that satisfies both inequalities. Therefore, there are no values that satisfy the system of inequalities shown.
There are no solutions to the system of inequalities y > 3x + 1 and y < 3x - 3 by analyzing the regions that satisfy each inequality on a coordinate plane. The lack of a solution is determined by the fact that there is no region that satisfies both inequalities.
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Complete Question :
Which is true about the solution to the system of inequalities shown?
y > 3x + 1
y < 3x – 3
On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.
Options:
a)Only values that satisfy y > 3x + 1 are solutions.
b)Only values that satisfy y < 3x – 3 are solutions.
c)Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.
d)There are no solutions.
Answer:
D
Step-by-step explanation:
You can draw a quadrilateral with two sets of parallel lines and no right angles.
True
False
Answers
Answer:
The correct answer is true.
Step-by-step explanation:
You can draw a quadrilateral with two sets of parallel lines and no right angles, since a parallelogram lines up exact with the requirements.
Hope this helps! Have a great day :)
pls help me ooooooooooooooooooooooooooooooooo
Answers
Answer:
The answer is 9n+22> -29.
I need help with this slope
Answers
Answer:
Step-by-step explanation:
First, the y-intercept is -3 so from -3 the slop to the next point is 4/1.
A population proportion is 0.30. A random sample of size 150 will be taken and the sample proportion will be used to estimate
the population proportion. Use the z-table.
Round your answers to four decimal places.
a. What is the probability that the sample proportion will be within ±0.03 of the population proportion?
b. What is the probability that the sample proportion will be within ±0.08 of the population proportion?
Answers
a. The probability that the sample proportion will be within ±0.03 of the population proportion is 0.6456.
b. The probability that the sample proportion will be within ±0.03 of the population proportion is 1.985.
What is population proportion?
The probability that a specific event will occur in the population is known as the population proportion. It is a parameter, and the sample proportion statistic is used to estimate it. The percentage of occurrences that occur in the sample is known as the sample proportion.
a. The probability that the sample proportion will be within ±0.03 of the population proportion is P(-0.03 < p - P < 0.003).
We Know that z-score of sample proportion is given by:
z = (p - P)/SE(p), where SE(p) represents standard error.
⇒SE(p) = √(0.3 * 0.7)/200
⇒SE(p) = √0.00105
⇒SE(p) = 0.0324
Now, using the z score, the probability P(-0.03 < p - P < 0.003) is computed as follows:
P(-0.03 < p - P < 0.003) = P(-0.03/SE(p) < p - P/SE(p) < 0.003/SE(p))
= P(-0.03/0.0324 < Z < 0.003/0.0324)
= P(−0.925926 < Z < 0.925926)
= 2P(0 < Z < 0.925926)
P(0 < Z < 0.925926) = 0.3228 (Using standard table)
So,
2P(0 < Z < 0.925926) = 2*0.3228 = 0.6456
Hence, the probability that the sample proportion will be within ±0.03 the population proportion is 0.6456.
b. The probability that the sample proportion will be within ±0.03 of the population proportion is P(-0.08 < p - P < 0.008).
Also, SE(p) = 0.0324
Now, using z score,
P(-0.08 < p - P < 0.008) = P(-0.08/SE(p) < p - P/SE(p) < 0.008/SE(p))
= P(-0.08/0.0324 < Z < 0.008/0.0324)
= P(−2.469135 < Z < 2.469135)
= 2P(0 < Z < 2.469135)
P(0 < Z < 2.469135) = 0.9925 (Using standard table)
So,
2P(0 < Z < 2.469135) = 2*0.9925 = 1.985
Hence, the probability that the sample proportion will be within ±0.03 of the population proportion is 1.985.
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Ejemplo: catalina compro una piscina para
ponerla en el jardín de su casa.
-Piscina cilíndrica 206cm de diámetro y 60cm
de profundidad además construirá una zona de
cemento y cerco de seguridad alrededor de la
piscina.
¿Cuál es el volumen máximo de agua que
puede contener la piscina? (considere T=3)
¿cuál es la extensión del cerco de seguridad?
(considere П=3)
Answers
The length of the fence must be 618cm
The volume that it can hold is 1,909,620 cm³
How to find the volume and the length of the fence?First, the fence is just equal to the circumference of the cylinder, remember that the circumfernce of a circle of diameter D is:
C = П*D
Here we use П = 3, then:
C = П*206cm
C = 3*206cm = 618cm
Now the volume, for a cylinder of diameter D and height H, the volume is:
V = П*(D/2)²*H
Replacing the values that we know we will get:
V = 3*(206cm/2)²*60cm = 1,909,620 cm³
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