Paul sketches a right triangle with legs of lengths a and b and a hypotenuse of length h. He writes an equation that relates a, b, and h, and then solves it for h. Which of the following is the solution for h that Paul writes?

Answer:

are you sure this is a middle school question

Step-by-step explanation:

The measure of two exterior angles from the given figure are 60° and 90°.

An exterior angle is an angle which is formed by one of the sides of any closed shape structure such as polygon and the extension of its adjacent side. The sum of the measures of the exterior angles of a polygon is equal to 360 degrees, irrespective of the number of sides in the polygons.

From the given figure, the exterior angles are 70°, 2x°, 65°, 75° and 3x°.

Here, 70°+2x°+65°+75°+3x°=360°

210°+5x°=360°

5x°=150°

x=30°

So, 2x=60° and 3x=90°

Therefore, the measure of two exterior angles are 60° and 90°.

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Answer: 15

Step-by-step explanation: im pretty sure its 15 cuz 30% of 50 = 0.3x50=15

Answer:

D)rotation, reflection

Step-by-step explanation:

Rotation because the figure has rotated in a clockwise direction but since only rotation cannot be the correct answer, the figure has also been reflected after being rotated. Thus only option D is correct.

Answer:

12

Step-by-step explanation:

1:3

1×4:3×4

4:12

Thus, X=12

An absolute value inequality that has a solution set -1<=x<=3 is |x-1| <= 2

The set of values of the variable involved in the inequality for which the considered inequality holds true is called the solution set for that inequality.

We've to find an absolute value inequality that has the solution set

-1 <= x <= 3

1+2 = 3

and 1 - 2 = 3

Therefore, we can rewrite the considered inequality as:

1-2 <= x <1+2

Subtracting 1 from all the sides:

-2 <= x-1 <= 2

This is written as:

|x-1| <= 2 (it is because [tex]|x| \leq a \leftrightarrow-a \leq x \leq a[/tex] )

Thus, an absolute value inequality that has a solution set -1<=x<=3 is |x-1| <= 2

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Answer:

28.26

Step-by-step explanation:

9x3.14=28.26

Answer:

28.26

Step-by-step explanation:

First divide the diameter by 2, to get the radius.

9 ÷ 2 = 4.5

2 x 3.14 = 6.28

6.28 x 4.5 = 28.26

Therefore, 28.26 is the correct answer

-kiniwih426

Answer:

14

Step-by-step explanation:

12+x=26
-12.     -12

x=14

Answer:

B and C

Step-by-step explanation:

Kitten:

2 times in the morning and 2 times in the evening = 4 times per day

That means Ariane feeds her kitten 4k grams of food per day.

Dog:

1 time in the morning and 1 time in the evening = 2 times per day

That means Ariane feeds her dog 2d grams of food per day.

Answer:

If you find the total, you have to add the kitten's food per day and the dog's food per day. That is 4k + 2d, which is the same as choice B.

We can break 4k into 2k + 2k. We can also break 2d into d + d. We can write that as 2k + 2k + d + d. That equals the same as choice C, making it a correct choice.

I hope this helps and please mark me as brainliest!

Answer:

-8m + 24 - 32n

Step-by-step explanation:

-8 · m = -8m

-8 · -3 = 24

-8 · 4n = -32

Answer:

Multiplication.

Step-by-step explanation:

Multiply the two fractions together to get the fraction of the cake he actually ate. All the best. -Crispin

Answer:

yes

Step-by-step explanation:

a yard is equivalent to exactly 1.09 meters, so 11 meter is smaller than 11 yards.

P = Number of favourable outcomes ÷ Sum of total outcomes

So, Probability of drawing a blue sock is

Number of blue socks ÷ Number of total socks

= 6 ÷ 20

= 3 ÷ 10

= 0.3

Now as we have drawn a sock already the total number of socks in the drawer are 19

So, the probability of drawing a blue sock now will be :

= 6 ÷ 19

= 0.31

Answer:

D, 24

Step-by-step explanation:

Answer:

Step-by-step explanation:

C=2πr use this to calculate both circumfrences then difference between

Answer:

B:)

Step-by-step explanation:

the similar paper appears to be 2 times larger then Fransicos since 38/19=2, so I did 14 1/3*2 which equals 28 2/3, so the answer is B

The correct answer is B) 28 2/3

Answer:

now one will understand except you because you place the pictures where you cant see the first part

Answer:

2:3

Step-by-step explanation:

x + y = 5      ----->      y = 5 - x

x - 2y = -1

x - 2(5 - x) = -1

x - 10 + 2x = -1

3x - 10 = -1

3x = 9

x = 3

(3) + y = 5

y = 2

Solution to this system: (3,2)

Ratio of y to x = 2:3

Hope this helps!

Answer:

44 inches

Step-by-step explanation:

i hope this heped

Answer:

69420

Step-by-step explanation:

3 x 7+x is 69420 so thats the answer ez

Answer:

edges: 24; vertices: 16

Step-by-step explanation:

to count the edges you must see how many places two shapes meet

on the top the shapes meet 8 times

in the middle they meet 8 times

on the bottom they meet 8 times

there are 24 edges

for the vertices you must count how many points there are

on the top there are 8

on the bottom there are also 8

so there are 16 vertices

Answer:

There are 16 vertices and 24 edges.

Answer: Anika  7 par johan 8 par Seamus 9 par

Step-by-step explanation:

Answer:

150 sq. in.

Step-by-step explanation:
Because... Suppose the planned dimensions of a rectangular kitchen have a length-to-width ratio of 3 to 2. The length of the original kitchen is 6z feet. The original kitchen can be made larger by adding four feet to each original dimension. Write a polynomial expression that represents the floor area of the larger kitchen in square feet.

The polynomial expression that represents the floor area of the larger kitchen in square feet is  24z² + 40z + 16

The area of Rectangle is length times of width.

The length-to-width ratio of the original rectangular kitchen is 3 to 2.

Let the width of the original kitchen "w".

Then the length of the original kitchen is length = 3/2×w

We are also told that the length of the original kitchen is 6z feet. We can use this information to solve for the width of the original kitchen:

6z = 3/2×w

w = 4z

So the width of the original kitchen is 4z feet.

To make the kitchen larger, we add four feet to each original dimension. The new length is:

length = 6z + 4 feet

width = 4z + 4 feet

Area = (6z + 4 feet) × (4z + 4 feet)

Multiplying out the terms, we get:

Area = 24z² + 40z + 16 square feet

Therefore, the polynomial expression that represents the floor area of the larger kitchen in square feet is  24z² + 40z + 16

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The measure for x is 30 degree.

A linear pair is a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair are always supplementary, which means their measures add up to 180 degrees.

Given:

We have angles forms line are x, 120 and x.

So, x+ 120 + x = 180 (Linear pair)

2x+ 120 = 180

Now, Simplifying for x

Subtract 120 from both side we get

2x+ 120 - 120 = 180 - 120

2x = 60

Now, Divide both side by 2 we get

2x/ 2 = 60/ 2

x = 30

So, the measure of x is 30.

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Answer:

33% and 29%

Step-by-step explanation:

6+7=

13+4=

17+4=

21

7/21=

33%

6/21=

29%

Answer:

3/8

Step-by-step explanation:

4/8 is a half and 2/8 is a quarter, 3/8 is in between those 2 boundaries

No, because 2 squared is 4. 2 squared times 2 squared is really 4 x 4, which is 16. The side length is 4 because the formula for area of a sqaure is length x width (4 x 4 = 16) or one side squared (4 squared which is 16).

hope this helped!

Answer:

miles to travel directly south = 54 miles (to the nearest mile)

extra miles = 68 miles (nearest mile)

Step-by-step explanation:

We need to find the height of the right triangle in the diagram.

To do this, use the sine trig ratio.

[tex]\sin(x)=\sf\dfrac{O}{H}[/tex]

where:

Given:

[tex]x[/tex] = 27°

O = height (h)

H = 120 miles

Substituting the given values into the formula:

[tex]\implies \sin(27^{\circ})=\sf\dfrac{h}{120}[/tex]

[tex]\implies \sf h=120 \sin(27^{\circ})[/tex]

[tex]\implies \sf h=54.47885997...[/tex]

Therefore, the shipmate will have to travel 54 miles (to the nearest mile) directly south.

To find the number of extra miles have been traveled, we first need to find the base length of the right triangle.

To do this, use the cos trig ratio.

[tex]\cos(x)=\sf\dfrac{A}{H}[/tex]

where:

Given:

Substituting the given values into the formula:

[tex]\implies \cos(27^{\circ})=\sf\dfrac{b}{120}[/tex]

[tex]\implies \sf b=120 \cos(27^{\circ})[/tex]

[tex]\sf \implies b=106.9207829...[/tex]

Therefore, the base of the right triangle is 106.9207829... miles

To find the extra miles, sum the hypotenuse and the height of the triangle, then subtract the base.

Extra miles = (120 + 54.47885997... ) - 106.9207829...

                  = 67.55807707...

                  = 68 miles (nearest mile)

#1

Apply sines

#2

Total distance travelled =120+54.5=174.5ft

Base:-

Extra distance:-