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adell [148]
4 years ago
9

Anyone know? A. 99 B. 100 C. 121 D. Cannot be determined

Mathematics
1 answer:
Verizon [17]4 years ago
6 0

Since, it is given that the pentagon ABCDE is congruent to pentagon FGHIJ.

By being congruent, the corresponding angles and sides are equal.

Therefore, \angle A = \angle F, \angle B = \angle G, \angle C = \angle H, \angle D= \angle I, \angle E = \angle J.

By using \angle A = \angle F

So, 100^\circ = \angle 1

Therefore, the measure of angle 1 is 100 degrees.

So, Option B is the correct answer.

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Find the length of the missing side. The triangle is not drawn to scale.
suter [353]

Answer:

D.) 8

Step-by-step explanation:

You can use the Pythagorean theorem because this is a right triangle:

a^2+b^2=c^2

a and b are the legs and c is the hypotenuse. The hypotenuse is always the longest side in a right triangle (since it  is opposite the biggest angle). The two legs squared have to add up to the hypotenuse squared.

Fill in values:

a^2+15^2=17^2

Simplify exponents:

a^2+225=289

Isolate the variable. Subtract 225 from both sides:

a^2+225-225=289-225\\a^2=64

Find the square root of both sides:

\sqrt{a^2}=\sqrt{64}\\  a=8

The missing leg length is 8.

7 0
3 years ago
Find the radius of a circle that has an area of 6.76 cm². Use it for pi.
Inessa05 [86]

Answer:

<h2>radius = 1.47 cm</h2>

Step-by-step explanation:

Area of a circle = πr²

where

r is the radius

From the question

Area = 6.76 cm²

To find the radius substitute the value of the area into the above formula and solve for the radius

That's

6.76 = \pi \:  {r}^{2}

Divide both sides by π

We have

{r}^{2}  =  \frac{6.76}{\pi}  \\ r =  \sqrt{ \frac{6.76}{\pi} }

r = 1.46689291

We have the final answer as

radius = 1.47 cm

Hope this helps you

8 0
3 years ago
Which fraction in equivalent to 5/20?<br>​
Genrish500 [490]
1/4 is equivalent to 5/20
3 0
3 years ago
Read 2 more answers
It's the day before Valentine's Day and Shelly needs to get Valentine cards for all of her classmates.The desks are arranged in
Vitek1552 [10]

Answer:

32

Step-by-step explanation:

No of desks along  length of the rectangle = 7 as it is 7 rows wide.

No of desks along  breadth of the rectangle = 7 as it is 5 rows long.

Total number of students is product of these two numbers.

So number of students = 35.

But three desks are empty.

Total students = 35- 3

                         = 32.

4 0
3 years ago
Which statement best describes the solution to the equation below ?
SIZIF [17.4K]
Im going to say option 1
8 0
3 years ago
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