9. Find the values of x and y that make these triangles congruent by the HL Theorem.

Given:

Apply the laws of exponents:

Apply the properties of imaginary numbers:

Rewrite in standard complex form:

Answer:

Answer:A TRANSLATION OF A GRAPH

Step-by-step explanation:is its rigid movement, vertically or horizontally. On the left is the graph of the absolute value function.

The coordinates of A'', B'' and C'' are (-1, 4), (-4, 3) and (-1, 2) respectively.

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

Given triangle has coordinates,

A(2, -2), B(5, -3) and C(2, -4).

First the triangle is translated by the rule (x, y) → (x - 1, y + 6)

A(2, -2) becomes A'(2 - 1, -2 + 6) = A'(1, 4).

B(5, -3) becomes B'(5 - 1, -3 + 6) = B'(4, 3)

C(2, -4) becomes C'(2 - 1, -4 + 6) = C'(1, 2)

Then the translated triangle is reflected across the Y axis.

When reflected a point (x, y) across the Y axis, y coordinate remains same and x coordinate flips.

A'(1, 4) becomes A''(-1, 4)

B'(4, 3) becomes B''(-4, 3)

C'(1, 2) becomes C''(-1, 2)

Hence the vertices of the triangle after undergoes translation and reflection becomes A''(-1, 4), B''(-4, 3) and C''(-1, 2).

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Answer:

The first chart

Step-by-step explanation:

Answer:

3,375mm^3

Step-by-step explanation:

To find the volume, you do the length times the width times the height. Since this is a cube, the length, width, and height are all 15 mm. Multiply 15 times 15 times 15 to get 3375. The answer is 3375 cubic inches or 3375mm^3

The total possible outcomes when a quarter, a penny, and an 8-sided die are rolled together is 32.

There are a total of 2 possibilities namely Head and Tail for a quarter and the same 2 possibilities for a penny so the number of possibilities, when both are tossed at once, is :

=>2x2=4

The possibilities are :

Now similarly the total number of possibilities when the 8-sided die is rolled is 8. Now when we toss the quarter and a penny at once and roll the die at the same time then the total number of possible outcomes are:

=>4x8=32.

Hence, the total possible outcomes when a quarter, a penny, and an 8-sided die are rolled together is 32.

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In a circle with center O, chord KL is perpendicular to diameter GH. If KP=PL=18 and GH=36, what is the measure of arc GM?

Based on the mentioned informations and provided valus, the measure of arc of the circle GM is calculated out to be 18π.

Since KL is perpendicular to GH and GH is a diameter, KL is a chord that bisects the circle into two equal halves. Therefore, the arc GM is half the measure of the circle.

The measure of the circle can be found using the diameter GH, which is equal to 36. The formula for the circumference of a circle is C = πd, where d is the diameter. Therefore, the circumference of this circle is C = π(36) = 36π.

Since arc GM is half the measure of the circle, its measure can be found by dividing the circumference by 2.

arc GM = (1/2)C = (1/2)(36π) = 18π

Therefore, the measure of arc GM is 18π.

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Answer:

its c

Step-by-step explanation:

When the person is 42 feet away from the jetski, the sound intensity is approximately 87.1 decibels.

To answer this question, we need to use the inverse square law of sound intensity, which states that the intensity of a sound decreases with the square of the distance from the source.
1. Identify the initial distance (D1) and initial decibel level (L1): In this case, D1 = 12 feet and L1 = 100 decibels.
2. Identify the final distance (D2): In this case, D2 = 42 feet.
3. Calculate the ratio of the initial distance to the final distance: \(R = (D1 / D2)^2\)

\(= (12 / 42)^2\)

\(= (2 / 7)^2\)

\(= 4 / 49.\)
4. Convert the initial decibel level to intensity (I1): The intensity of a sound is proportional to \(10^(L1/10).\)

\(So, I1 = 10^(100/10) = 10^10.\)
5. Calculate the final intensity (I2) using the ratio of distances: I2 = I1 * R

\(= 10^10 * (4 / 49).\)
6. Convert the final intensity back to decibels (L2): L2 = 10 * log10(I2) = \(10 * log10(10^10 * 4 / 49).\)
7. Calculate the final decibel level: L2 ≈ 10 * (10 - log10(49/4)) = 10 * (10 - 1.29)

= 87.1 decibels.

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Step-by-step explanation:

Dhuʻl-H. 7, 1441 AH · 2 answers

5)Find the value of x for which 2x ÷ 2- 4 = 45 6) Calculate the missing value of “x” in the following expression: (11/9)3 × (9/11)6 = (11/9)2x-1 7) 5 ...

Missing: ZKB = ‎150°. ‎(4х +

Answer:

\( \huge \boxed{ \boxed{ \sf x + 52 ^{o} + 7 {2}^{o} =18 {0}^{o} }}\)

Step-by-step explanation:

\(\text{since a triangle contains 180° the sum of the interior angles has to be 180°}\)

\(\text{therefore the equation is}\)

\( \mathfrak{x + {52}^{o} + {78}^{o} = 180 ^{0} }\)

The gateway arch in st. Louis, MO is approximately 630 ft tall, the same height of the Nickels would be in a stack is 98474.

Height of Gateway Arch in St. Louis, MO = 630ft tall

We are asked, how many nickels would be in a stack of the same

height when 1 nickel is 1.95 mm thick.

Convert height in ft to mm

1 ft = 304.8 mm

630ft = X

After Cross Multiply,

630ft × 304.8mm/1ft

= 192024 mm.

To find how many nickel would be in a stack of the same height

= Total thickness/ Thickness of 1 US dime

= 192024 mm/1.95mm

= 98473.8

≈98474 nickels

Therefore, the number of nickel that would be in a stack of the same height is 98474.

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Answer: y= -x+7

Step-by-step explanation: Use the formula (y2-y1)/(x2-x1) to find slope. (3-(-2))/(4-9) equals 5/-5. The slope of this equation is -1. Next, plug in 4 for x and 3 for y. 3=(-1)(4)+b. 3=-4+b, so b =7.

The area of the sector is A = (360/360)π(6)^2 = 36π square units.

To find the area of a sector of a circle, we first need to know the central angle that defines that sector. We can use the formula A = (θ/360)πr^2 to calculate the area of the sector, where A is the area, θ is the central angle in degrees, r is the radius of the circle, and π is a constant value.

In this case, we know that the radius of the circle is 6 units. Let's consider each of the given arc length:

a. If the arc length is 6 units, then the central angle is 360 degrees, which means that the sector is the entire circle. Therefore, the area of the sector is A = (360/360)π(6)^2 = 36π square units.

b. If the arc length is 3 units, then the central angle is 180 degrees. The area of the sector is A = (180/360)π(6)^2 = 18π square units.

c. If the arc length is 1/6 of the circumference (2πr), then the central angle is 60 degrees. The area of the sector is A = (60/360)π(6)^2 = π(6)^2/6 = 6π square units.

d. If the arc length is 9 units, then the central angle is 540 degrees, which means that the sector covers the circle twice. Therefore, the area of the sector is A = (540/360)π(6)^2 = 81π square units.

In summary, we can use the formula A = (θ/360)πr^2 to find the area of a sector of a circle, given the radius and the central angle. Depending on the arc length, we can calculate the central angle and then use this formula to find the area of the corresponding sector.

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Answer: 12/8

Step-by-step explanation:

Answer:

\(\frac{3}{2}\)

Step-by-step explanation:

I hope this helps!

Answer:

nope!

Step-by-step explanation:

mean= average, total of numbers/ amount of numbers

median- if all the numbers were in a line what would be in the middle

mode-most reoccuring number- remember it cos it rhymes with most :)

hope this helps :)

can u pls give brainliest? :)

Answer:

No

Step-by-step explanation:

when you have a list of numbers:

The mean is all of the numbers added up and then divided by the number of numbers.

The median is "the middle number" So line them up in numerical order and find the middle number.

The Mode is the biggest number subtracted from the smallest number.

The product that represents the area of the model will be A. 1/2 × 3/4

The area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.

Based on the information, it should be noted that we have a model with 8 boxes that are illustrated.

In this situation, the area of the model will be:

= 4/8 × 3/4

= 1/2 × 3/4

= 3/8.

The correct option is A.

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Answer:

please Brainiest

Step-by-step explanation:

Let's simplify step-by-step.

3x−4y−8+12

=3x+−4y+−8+12

Combine Like Terms:

=3x+−4y+−8+12

=(3x)+(−4y)+(−8+12)

=3x+−4y+4

Answer:

25 times did we go to ride

(a) False. The set {x∈R^n | Ax=b} is not necessarily convex. It depends on the matrix A and the vector b. For example, if A is a non-convex matrix, then the set of solutions {x∈R^n | Ax=b} will also be non-convex.

(b) True. The set {(x₁,x₂) | x₂ ≤ 3x₁²} is convex. The inequality defines a downward parabolic region, and any line segment connecting two points within this region will lie entirely within the region. (c) False. Not all polygons on the R² plane are convex. For example, a polygon with a concave portion, such as a crescent shape, would not be convex.

(d) True. If S⊆R² is convex, then it must enclose a region of finite area. Convex sets do not have "holes" or disjoint parts, so they form a connected and bounded region. (e) False. If S₁⊆R² and S₂⊆R², and S₁∩S₂=ϕ (empty set), then S₁∪S₂ can be convex. If S₁ and S₂ are both convex sets that do not overlap, their union can still be a convex set. (f) True. If S₁⊆R² and S₂⊆R² are both closed sets, then their union S₁∪S₂ must also be closed. However, it may or may not be convex. The convexity of the union depends on the specific sets S₁ and S₂.

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Answer:

The two expressions are equivalent, based on a direct numerical comparison (a) and (b) a methematical comparison.

Step-by-step explanation:

a)  The expressions can be shown to be equivalent by entering the numbers into each expression and comparing the results.  This is easy with a spreadsheet program.  Set up a table with the values of x in the left column.  Then enter the 2 equations in the first entry (-2) in each of two subsequent columns.  These expressions can be copied to the other rows by clicking on the first cell and dragging the lower right corner down until all rows are included.  The copied expressions will select the corresponding value of x for both expressions, as shown in the attached table.  It can be seen that both expressions yield the same results.

b)  Prove the equivalence mathematically:

In other words, do the two expressions equal each other?

(12x^2 - 27)/3  = -(-2x+3)(2x+3)   ??

Simplify both sides

(4x^2 - 9)           =   -(-4x^2 + 9)       ?

4x^2 - 9             =   4x^2 - 9            Yes.  They are equivalent

B and B simple math and simplification of the problems : (2x-5y)(2x-5y) and (x+7)(x+7)

Answer:

x=3 and y=4

Step-by-step explanation:

The opposite sides of a parallelogram are congruent, or equal.

Therefore, (4x+6) = (7x-3) and (4y-3) = (3y+1)

4x+6 = 7x-3 –– Subtract 4x from both sides

6=3x-3 –– Add 3 to both sides

9=3x –– Divide both sides by 3 to get x alone

3=x

4y-3 = 3y+1 –– Subtract 3y from both sides

y-3=1 –– Add 3 to both sides

y=4

Check by substituting:

4(3)+6 = 7(3)-3

12+6 = 21-3

18 = 18

4(4)-3 = 3(4)+1

16-3 = 12+1

13 = 13

Answer:

The antifreeze protects the car between -40°F and 257°F

Step-by-step explanation:

Inequalities

The range of Celsius temperatures the car's antifreeze protects the car is

\(-40 \le ^\circ C \le 125\)

To convert °C to °F we use the formula:

\(\displaystyle ^\circ C=\frac{5}{9}(^\circ F-32)\)

To find the equivalent range of temperatures in °F, substitute the formula:

\(\displaystyle -40 \le \frac{5}{9}(F-32) \le 125\)

Multiply by 9, divide by 5:

\(\displaystyle -40*9/5 \le F-32 \le 125*9/5\)

Operating:

\(\displaystyle -72 \le F-32 \le 225\)

Adding 32:

\(\displaystyle -72+32 \le F \le 225+32\)

Operating, we get the range of temperatures in °F:

\(\displaystyle -40 \le F \le 257\)

The antifreeze protects the car between -40°F and 257°F

Answer:

(2*5y^7)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (2y4 • 5) • y3

STEP

2

:

Equation at the end of step 2

 (2•5y4) • y3

STEP

3

:

Multiplying exponential expressions :

3.1    y4 multiplied by y3 = y(4 + 3) = y7

Final result :

 (2•5y7)

The probability that a student who had a dog also had a cat would be = 7/25.

To calculate the possible outcome of the given event, the formula for probability should be used and it's given below as follows. That is;

Probability = possible outcome/sample space

possible outcome = 7

sample space = 7+2+3+13 = 25

Probability = 7/25

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Answer:

  0

Step-by-step explanation:

You want the slope of the line passing through the points (-4,4 ) and (3,4).

The slope of the line through points (x1, y1) and (x2, y2) is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

For the given points, the slope is ...

  m = (4 -4)/(3 -(-4)) = 0/7 = 0

The line is a horizontal line with a slope of zero (0).

__

Additional comment

The equation of the line is y = 4.

Answer:

4 shirts will cost about 25.32

Step-by-step explanation:

First, You can divide 19/3 and this will give you 6.33 repeating.

Next, you will assume that one shirt would cost $6.33.

Finally, Multiply by 4 to get the amount of four shirts.  

Answer:

56

Step-by-step explanation:

40 ÷ 5 = 8

8 x 2 = 16

16 + 40 = 56

Answer:16 green grapes sold 40 red grapes sold together that makes 56

Step-by-step explanation: