Answers
In the diagram we can see that
\(n_2=139^{\circ}\)because they are vertically opposite angles.
And
\(n_2=n\)because they are alternate interior angles, so
\(n^{\circ}=139^{\circ}\)Letter B.
Related Questions
The length of a rectangle is 2 inches shorter than double the width. Which shows the correct algebraic expressions for the length and width of the rectangle?
Answers
Answer:
let Length = x
then width = x -2 (2 inches less than length
now
A = Lw
35 = x (x -2)
35 = x2 - 2x
x2 -2x -35 = 0
(x-7)(x+5) = 0
x-7=0
x=7
so length = 7
width = 7 -2 = 5
Hope this helps
Step-by-step explanation:
If AB = 10 and m_A = 20° , find AC . Round to the nearest tenth.
Answers
Answer: 9.397
Step-by-step explanation: c = a·sin(C)/sin(A) = 9.39693
Is a triangle with side lengths 23,30 &19 a right triangle show why or why not . Please need asap! :)
Answers
Step-by-step explanation:
To determine whether a triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let's denote the three sides of the given triangle as a = 23, b = 30, and c = 19. We can check if these side lengths satisfy the Pythagorean theorem as follows:
c^2 = a^2 + b^2
19^2 = 23^2 + 30^2
361 = 529 + 900
Since 361 is not equal to 529 + 900, we can see that the given triangle is not a right triangle.
a rectangle with a width of 30 centimeters has a perimiter of 100 centimeters to 160 centimeters graph a compound inequality
Answers
Answer:
5 ≤ L ≤ 35
Step-by-step explanation:
Let w represent the width of the rectangle.
The perimeter (P) of the rectangle is given by:
P = 2w + 2L
Where L is the length of the rectangle.
We know that w = 30 cm and that the perimeter is between 100 and 160 cm. We can now set up our compound inequality:
100 ≤ 2(30) + 2L ≤ 160
100 ≤ 90 + 2L ≤ 160
10 ≤ 2L ≤ 70
We can now divide both sides by 2 to solve for L:
5 ≤ L ≤ 35
Therefore, the compound inequality that represents the graph of a rectangle with a width of 30 centimeters and a perimeter of 100 centimeters to 160 centimeters is: 5 ≤ L ≤ 35
i need the answer no explanation
Answers
Answer:
the answer is option D because it cant be division or multiplication and minus does not work
Answer:
log 1/9 * log k
Step-by-step explanation:
\(\frac{1}{9} /k\) = 1/9 * k/1 = 1/9 * k
Which repeating decimal is equal in value to the fraction below? 7/9 A. 0.7777777 B. 0.8888888 C 0.5555555
Answers
Answer:
its A
Step-by-step explanation:
The National Assessment of Educational Progress (NAEP) is a nationwide assessment of students’ proficiency in nine subjects: mathematics, reading, writing, science, the arts, civics, economics, geography, and U.S. history. The main NAEP assessments are conducted annually on samples of students from grades 4, 8, and 12.
In 2002, the reading scores for female students had a mean of 269 with a standard deviation of 33. Assume that these scores are normally distributed with the given mean and standard deviation.
Identify the scores that are three standard deviationsabove and below the mean of the population. For this example, the limits will be 269 ± (33)(3). The lower limit is . The upper limit is . The probability that a female student will have a score between these limits is .
A score of 302 is above the mean. As a result, the percentage of female students with scores below 302 is .
You can infer that 97.72% of the female students have scores above .
Answers
"97.72% of the female students have scores above," seems to be a misinterpretation as the correct statement is that approximately 99.72% of the female students have scores between the lower and upper limits
To calculate the scores that are three standard deviations above and below the mean, we use the formula:
Lower limit = Mean - (Standard Deviation * 3)
Upper limit = Mean + (Standard Deviation * 3)
Given:
Mean = 269
Standard Deviation = 33
Using the formula, we can calculate the limits:
Lower limit = 269 - (33 * 3) = 269 - 99 = 170
Upper limit = 269 + (33 * 3) = 269 + 99 = 368
Therefore, the lower limit is 170 and the upper limit is 368.
To calculate the probability that a female student will have a score between these limits, we need to find the area under the normal distribution curve between the lower and upper limits. This can be calculated using a standard normal distribution table or calculator.
Since the distribution is assumed to be normal, approximately 99.72% of the scores will fall within three standard deviations from the mean. Therefore, the probability that a female student will have a score between these limits is approximately 99.72%.
For a score of 302, which is above the mean of 269, we can calculate the percentage of female students with scores below 302:
Percentage = (1 - Probability) * 100
= (1 - 0.9972) * 100
= 0.0028 * 100
= 0.28%
Therefore, approximately 0.28% of the female students have scores below 302.
It's important to note that the value mentioned, "97.72% of the female students have scores above," seems to be a misinterpretation as the correct statement is that approximately 99.72% of the female students have scores between the lower and upper limits
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Convert 12.3 liters to milliliters.
Enter your answer in the box.
12.3 L =
mL help me now
Answers
Answer:12300
Step-by-step explanation:12.3x1000
Answer:
Your answer is 12,300.
The Digit 6 in which numbers repesent a value of 6 ones?
Answers
Answer:
B. 16.4
Step-by-step explanation:
Well in 16.4 the digit 6 is the first number meaning it is 6 ones.
Thus,
choice b is correct.
Hope this helps :)
The value of x that makes the equation true is ____
Answers
The value of x that makes the equation true is 12°. The solution has been obtained using angle sum property of triangle.
What is Angle Sum Property?
The Angle Sum Property states that the sum of the measures of the angles of a triangle is 180°. This means that if you add up all three angles of a triangle, the total measure will be 180°. This property is true for all triangles, regardless of the size or shape. It is one of the most important properties in geometry and is used to solve problems involving angles in triangles.
We are given two angles as (2x)° and (5x+18)°
Also, we are given two sides of the triangle are same.
This means that the angles opposite to the sides are also same.
Thus, the angles of the triangle are (2x)°, (5x+18)° and (5x+18)°
Using angle sum property,
⇒ (2x)° + (5x+18)° + (5x+18)° = 180°
⇒ (2x)° + 2 * (5x+18)° = 180°
⇒ (2x)° + (10x+36)° = 180°
⇒ (12x + 36)° = 180°
⇒ (12x)° = 144°
⇒ x = 12°
Hence, the value of x that makes the equation true is 12°.
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Help me pls pls pls
Answers
Answer:
The Inequality for the amount of lift tickets she can buy:
a) x < 5
Therefore, to be able to have more than $420 to spend on snowboarding equipment, Helena must buy less than 5 tickets.
Step-by-step explanation:
We are told in the attached diagram that:
Helena has saved $595 to buy snowboarding equipment.
Lift tickets costs $35 per lift
She wants to have MORE THAN $420 left to spend.
Find the inequality, that represents the number of lift tickets she can buy
Step 1
Amount she can spend on lift tickets is calculated as:
Amount saved - Amount intended to spend on snowboarding
= $595 - $420
= $175
Step 2
Since the price of one lift ticket = $35
Let x represent the number of lift tickets Helena can buy.
Number of lift tickets she can buy = $175/ $35
= 5
The Inequality for the amount of lift tickets she can buy
x < 5
Therefore, to be able to have more than $420 to spend on snowboarding equipment, Helena must buy less than 5 tickets.
A child is playing games with empty soda cups. There are three sizes: small, medium, and large. After some experimentation
she discovered she was able to measure out 160 ounces in the following ways:
1) 2 small, 2 medium, 4 large
2) 2 small, 6 medium, 1 large
3) 5 small, 1 medium, 3 large
Determine the size of the cups.
Answers
Answer:
S is the volume of the small cup, M the volume of the medium cup and L the volume of the large cup:
2*S + 2*M + 4*L = 160oz
2*S + 6*M + 1*L = 160oz
5*S + 1*M + 3*L = 160oz.
First, we must isolate one of the variables, for this we can use the first two equations and get:
2*S + 2*M + 4*L = 160oz = 2*S + 6*M + 1*L
We can cancel 2*S in both sides:
2*M + 4*L = 6*M + 1*L
now each side must have only one variable:
4*L - 1*L = 6*M - 2*M
3*L = 4*M
L = (4/3)*M.
now we can replace it in the equations and get :
2*S + 2*M + 4*(4/3)*M = 160oz
2*S + 6*M + (4/3)*M = 160oz
5*S + 1*M + 4M = 160oz.
simplifing them we have:
2*S + (22/3)*M + = 160oz
2*S + (22/3)*M = 160oz
5*S + 5*M = 160oz.
(the first and second equation are equal because we used those to get the relation of M and L, so we now have only two equations):
2*S + (22/3)*M = 160oz
5*S + 5*M = 160oz.
We can take the second equation and simplify it:
S + M = 160oz/5 = 32oz
S = 32oz - M
Now we can replace it in the first equation and solve it for M
2*S + (22/3)*M = 2*(32oz - M) + (22/3)*M = 160oz
62oz - 2*M + (22/3)*M = 160oz
-(6/3)*M + (22/3)*M = 98oz
(18/3)*M = 98oz
M = (3/18)*98oz = 16.33 oz
Then:
L = (4/3)*M =(4/3)*16.33oz = 21.78 oz
and:
S = 32oz - M = 32oz - 16.33oz = 15.67oz
A plane flying with a constant speed of 360 km/h passes over a ground radar station at an altitude of 1 km and climbs at an angle of 30°. At what rate (in km/h) is the distance from the plane to the radar station increasing a minute later? (Round your answer to the nearest whole number.)
Answers
The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).
To solve this problem, we can use the concepts of trigonometry and related rates.
Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.
Given:
The plane is flying with a constant speed of 360 km/h.
The plane passes over the radar station at an altitude of 1 km.
The plane is climbing at an angle of 30°.
We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.
We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:
sin(30°) = 1/D.
To find dD/dt, we can differentiate both sides of this equation with respect to time:
cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.
Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:
cos(30°) * 0 = -1/D^2 * dD/dt.
We can substitute the known values:
cos(30°) = √3/2,
D = 1 km.
Therefore, we have:
√3/2 * 0 = -1/(1^2) * dD/dt.
Simplifying further:
0 = -1 * dD/dt.
This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.
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solve for n. -n + 5 = n - 11
Answers
(Add 1n in to both sides)
5 = 2n - 11
(Add 11 to both sides)
16 = 2n
(Divide both by two)
N = 8
what is the experimental probability of spinning a white or yellow?
PLEASE PLEASE PLEASE HURRY ITS DUE TOMORROW!!!!!!
yellow / 5
blue / 12
green / 8
white / 9
red / 6
Answers
The experimental probability of spinning a white or yellow is 7/20
How to determine the experimental probability of spinning a white or yellow?From the question, we have the following parameters that can be used in our computation:
Outcomes of experiments
The outcomes of experiments are given as
yellow / 5
blue / 12
green / 8
white / 9
red / 6
The experimental probability of spinning a white or yellow can be calculated using the following equation
P(White or Yellow) =P(White) + P(Yellow)
Substitute the known values in the above equation, so, we have the following representation
P(White or Yellow) = (9 + 5)/5 + 12 + 8 + 9 + 6)
Evaluate the sum
P(White or Yellow) = 14/40
Simplify
P(White or Yellow) = 7/20
Hence, the probability is 7/20
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what is the value of -2/3x0.6÷ 6/5
Answers
Answer:
-0.33333333333 in other word it o.3 with line over 3
Step-by-step explanation:
What is the complementary angle of CFB
Answers
Step-by-step explanation:
CFB reads as twenty five degrees
complementary angle will add to it to sum 90 degrees = sixty five degrees
angle CFD is sixty five degrees
Lines MN and GH are parallel. If the measure of angle 6 is 45°, what is measure of angle 4?
Answers
Answer: It will be A that is the best answers
sin^4x rewrite the power as a product of two squared terms
Answers
sin^4x as a product of two squared terms is sin^2(x) * sin^2(x)
How to rewrite the expression?The sine expression is given as
sin^4x
The above means
sin x raised to the power of 4
This in other words, the expression is represented as
(sin(x))^4
Express 4 as 2 + 2
(sin(x))^(2 + 2)
Apply the law of indices
(sin(x))^2 * (sin(x))^2
This gives
sin^2(x) * sin^2(x)
Hence, sin^4x as a product of two squared terms is sin^2(x) * sin^2(x)
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Cuanto es 6 negativo +7?
Answers
Answer:
La respuesta es 1
ENGLISH:
The answer is 1
19.657 < 19.67 is this true or false
Answers
The given expression is
\(19.657<19.67\)Notice that the hundredth 7 is greater than 5, this means 19.67 is greater than 19.657.
Therefore, the given expression is false.What is the total surface area of the rectangular prism?
Answers
Answer:
286.5
Step-by-step explanation:
(3 x 7.5) x 2 = 45
(11.5 x 3) x 2 = 69
(11.5 x 7.5) x 2 = 172.5
45 + 69 + 172.5 = 286.5
After a new $28,000 car is driven off the lot, it begins to depreciate at a rate of 18.9% annually.Which function describes the value of the car after t years?
Answers
SOLUTION
It begins to depreciate at a rate of 18.9% annually. This means that the rate at which the value is decreasing is exponential. We would apply the formula for exponential decay which is expressed as
\(y=b(1-r)^t\)Where,
y represents the value of the car after t years.
t represents the number of years.
b represents the initial value of the car.
r represents the rate of depreciation.
Given
\(\begin{gathered} P=\text{ \$28000} \\ r=18.9\%=\frac{18.9}{100}=0.189 \\ \end{gathered}\)Therefore,
\(\begin{gathered} y=28000(1-0.189)^t \\ \therefore y=28000(0.811)^t \end{gathered}\)Where C(t) represents y,
Therefore, the function becomes
\(C(t)=28000(0.811)^t\)Hence, the function that describes the value of the car after t years is
\(C(t)=28000(0.811)^t\text{ (OPTION 1)}\)Tyler is 6 feet tall and Blake measures his shadow to be 10 ½ feet long. Maddie measures the shadow of the tree to be 21 feet long. How tall is the tree to the nearest tenth of a foot.
20 Points
Answers
The tree is approximately 12 feet tall to the nearest tenth of a foot.
We have,
To find the height of the tree, we can set up a proportion using the measurements of the shadow.
Since we know that Tyler is 6 feet tall and his shadow is 10 ½ feet long, we can set up the following expression:
Tyler's height / Tyler's shadow length = Tree's height / Tree's shadow length
6 feet / 10.5 feet = Tree's height / 21 feet
To find the tree's height, we can cross-multiply and solve for it:
6 feet x 21 feet = 10.5 feet x Tree's height
126 feet = 10.5 feet x Tree's height
Dividing both sides of the expression by 10.5 feet:
126 feet / 10.5 feet = Tree's height
12 feet = Tree's height
Therefore,
The tree is approximately 12 feet tall to the nearest tenth of a foot.
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Each of 6 students reported the number of movies they saw in the past year. Here is what they reported. 14, 11, 15, 19, 12, 10 Send data to calculator Find the mean number of movies that the students saw. If necessary, round your answer to the nearest tenth. movies X Ś
Answers
The mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).
To find the mean number of movies the students saw, you need to calculate the average of the given data. Here are the reported numbers of movies seen by the 6 students: 14, 11, 15, 19, 12, 10.
To calculate the mean, you sum up all the reported numbers and divide by the total number of students. In this case, the total number of students is 6.
So, let's calculate the mean:
(14 + 11 + 15 + 19 + 12 + 10) / 6 = 81 / 6 = 13.5
Therefore, the mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).
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Find the value of x in the figure to the right.
I can do problem #37 because:
Answers
The value of x in the triangle is 9.
You can do the problem because the sum of angles in a triangle is 180 degrees.
How to find the angles of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
Let's find the value of x in the triangle.
Therefore,
9x - 15 + 8x - 3 + 6x - 9 = 180
combine the like terms.
9x + 8x + 6x = 180 + 15 + 3 + 9
23x = 207
divide both sides by 23
23x / 23 = 207 / 23
Therefore,
x = 9
You can solve the problem because the sum of interior angles of a triangle is 180 degrees.
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PLS HELP WILL GIVE BRAINLIEST IF ANSWER IS RIGHT (NO LINKS)
Identify the three-dimensional figure that can be made from this net.
Answers
Answer:
The answer is D. Cone
Step-by-step explanation:
Like a Quarter Pounder, I found her
She with a boy think it's Ned Flanders
She said that, really nice
With my ice, I drown her
I found her soul in the night
She's a Salamander
Cold blooded the type
Answers
When f(x)=4, what is the value of x?
This mapping shows a functional relationship.
Domain
Range
оо
O 2
2
4
3
-3
0
4
-1
→-1
→ 3
Answers
Check the picture below.
The value of f(x) at x=4 is 2.
What is Function?A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.
We have to find the value of function for x=4.
This means that from the figure we have to find the value of y when x= 4.
Now, looking into the figure we have
f(4)= 2
f(0)= -2
f(-1)= -1
f(3)= 4
So, the required value is 2.
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What is this?
Multiply.
14.3 X 6.2
Answers
Answer:
88.66
Step-by-step explanation:
14.3 * 6.2
88.66