The triangles are similar by the AA similarity postulate. Find the value of x

Answer:  perimeter 28 units

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Explanation:

Refer to the diagram below. In figure 1, I'm showing how the purple side A moves outward to the left, and the green side B moves up. This effectively expands the corner out, but we keep the same perimeter (since sides A and B didn't change in length). Apply these sort of steps to each of the four corners and you'll get what you see in figure 2. The purple box has the same perimeter as the orange original figure.

Why go through these steps? Because it's much easier to find the perimeter of a rectangle than the perimeter of some complicated shape like this. The purple rectangle in figure 2 has horizontal length of 8 units, and the vertical width is 6 units.

The perimeter of the purple rectangle is

P = 2*(length+width)

P = 2*(8+6)

P = 2*14

P = 28

Or you could say: 8+6+8+6 = 14+14 = 28

The purple rectangle in figure 2 has perimeter of 28 units, so the orange figure also has the same perimeter.

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Another approach to find the perimeter is to ignore figures 1 and 2, and simply count the number of edges along the outside. You should count 28 in total. I recommend you mark each side counted with a value so you don't lose track.

Answer:

Matt made the error

He used the diameter instead of the radius in step 2

Step-by-step explanation:

Answer:

That would be 56. :D

Nice drawing sir/ma'am/person. :D

Step-by-step explanation:

Answer:

We are going to need the whole question dear <3

Answer:

I need help to

Step-by-step explanation:

Answer:

153.9 ft²

Step-by-step explanation:

Given that:

Radius of circular lawn = 7 feets

To obtain the maximum number of square feet of lawn Nichole can expect the sprinkler to cover ; find the area of the lawn

Area of a circle, A = πr²

A = π * 7 * 7

A = 153.93804

A = 153.9 ft²

Answer:

60

Step-by-step explanation:

m and n are parallel the 3x=180

180/3=60

False like a trapizoid they will touch sides a square wont but diagonal will square will I smart respectt

me

Answer:

Corm and Bulb- Differences. Bulbs are structurally short stems with fleshy leaves or leaf bases. Corms are rounded, underground storage organs consisting of a swollen stem base covered with scale leaves. Bulbs are modified leaves that store nutrients.

Step-by-step explanation:

Answer:

y = 6[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{6}{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

y = 6[tex]\sqrt{2}[/tex]

Answer:

16

Explanation:

what comes next is 16

for the function: y=2^x

Answer:

24

Step-by-step explanation:

LCM(6, 8) = 24

LCM = 6 × 8/2

= 24

LCM(6, 8)

= 2 × 2 × 2 × 3

= 24

( I hope this was helpful) >;D

Answer:

Present Value = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

Step-by-step explanation:

To find - If discount rate is 12%, the present value of Rs X received at the end of each year for the next five years is equal to .... ?

Solution -

We know that, formula for finding the Present vale is given by

Present value = Future value / (1 + r)ⁿ

where r is the rate of interest

and n is Number of periods

Now,

Here in the question, we have

r = 12% = 12/100 = 0.12

n = 5

Also, Given that, we have received Rs X at the end of each year

So,

Present Value = [tex]\frac{X}{(1 + 0.12)^{1} } + \frac{X}{(1 + 0.12)^{2} } + \frac{X}{(1 + 0.12)^{3} } + \frac{X}{(1 + 0.12)^{4} } + \frac{X}{(1 + 0.12)^{5} }[/tex]

                        = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

⇒Present Value = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

Answer:

pi is an irrational number and its value

is 22/7 in fraction and 3.14 in decimal

and 22/7 is rational number

hope it helps

Answer:

Pi is the ratio of a circle's circumference to its diameter.

The first 10 digits are 3.1415926535

Step-by-step explanation:

Answer:

x < 7

Step-by-step explanation:

0.5 + 2x < 14.5

2x < 14.5 - 0.5

2x < 14

x < 14 ÷ 2

x < 7

( To solve this is basically solving an equation. It's just that that instead of an equal sign, a greater than, less than, greater than or equal to or a less than or equal to sign is present. )

Answer:

Step-by-step explanation:

Given

As we see, the number x is factor of 42, 84 and 126. The two-digit factors are:

We have two possible solutions:

Proof:

Answer:

8) 3420°

Step-by-step explanation:

To find the sum of the interior angles of a polygon, (n-2)180

n being the number of sides.

(21 - 2) 180

19 * 180 = 3420°

Answer:the answer is

8) 3420°

Answer:

The equal amount is 525 .

Step-by-step explanation:

Given that,

Eric and his two sister shared amount of money in ratio2:7 respectively.

Amount with Eric = 300

It means,

2x = 300

x = 150

So,

7x = 7(150)

= 1050

As the remaining amount shared equally among the sister. So, the equal amount is 525 .

Answer:

∠A = 116°

∠B = 116°

∠C = 64°

Step-by-step explanation:

since it is an isosceles trapezoid, ∠C = ∠D = 64°

∠A would be same side interior to ∠D so it would be 180° - 64° = 116°

∠B = ∠A = 116°

The  measure of each angle in the isosceles trapezoid are; ∠A = 116°

∠B = 116° and ∠C = 64°

Due to the figure being isosceles trapezoid, it is symmetric.

Isosceles trapezoid has its two rest sides(which aren't necessary parallel) are of equal length.

Since it is an isosceles trapezoid, ∠C = ∠D = 64°

Here we can use the  symmetric property of the isosceles trapezoid and the fact that a triangle has sum of its angles as 180°

We have ∠A that would be same side interior to ∠D

Thus, it would be 180° - 64° = 116°

∠B = ∠A = 116°

Learn more about isosceles trapezoid here:

brainly.com/question/4084820

#SPJ2

Answer:

0.25

Step-by-step explanation:

Answer:0.25

25% = 25 / 100

= 0.25

Answer:

a = 7

Step-by-step explanation:

Let's solve your equation step-by-step.

3/5(a+5.25)=7.35

Step 1: Simplify both sides of the equation.

3/5(a+5.25)=7.35

(3/5)(a)+(35)(5.25)=7.35 (Distribute)

3/5a+3.15=7.35

Step 2: Subtract 3.15 from both sides.

3/5a+3.15−3.15=7.35−3.15

3/5a=21/5

Step 3: Multiply both sides by 5/3.

(5/3)*(3/5a)=(5/3)*(21/5)

a=7

Given:

Alexis has a rectangular backyard that is 50 yards by 55 yards.

She wants to build a fence that stretches diagonally from one corner to the opposite corner.

To find:

The length of the fencing she needs.

Solution:

We have,

Length = 50 yards

Width = 55 yards

We know that, the diagonal of a rectangle is

[tex]Diagonal=\sqrt{length^2+width^2}[/tex]

[tex]Diagonal=\sqrt{(50)^2+(55)^2}[/tex]

[tex]Diagonal=\sqrt{2500+3025}[/tex]

[tex]Diagonal=\sqrt{5525 }[/tex]

On further simplification, we get

[tex]Diagonal=74.3303437[/tex]

[tex]Diagonal\approx 74.3[/tex]

Therefore, the length of the required fencing is 74.3 yards.

Answer:

20 degrees

Step-by-step explanation:

The line has a total of 180 degrees. So, x+100+3x=180. Then, we subtract 100 from both sides to get x+3x=80. Then, x+3x=4x. So, 4x=80 degrees, and so divide by 4 on both sides and you get x=20 degrees.

Answer:

x intercept is 8, y intercept is 10

Step-by-step explanation:

x intercept is the x value for which the graph crosses the x-axis. Similar for y.

5x + 4y = 40 describes a straight line, so we should have no problem with finding those values

Let's find an x for which y = 0

5x + 4y = 40

substitute y=0

5x = 40

x = 8

Let's find a y for which x = 0

5x + 4y = 40

substitute x=0

4y = 40

y = 10