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oksian1 [2.3K]
3 years ago
12

A regular pentagon ABCDE is shown Work out the size of X

Mathematics
2 answers:
nikdorinn [45]3 years ago
7 0
The sum of the angles in a pentagon is 540°.

This means that each angle is 108°.

Inside you pentagon, a triangle is drawn. This triangle is isosceles, because the corners are on the points of the regular pentagon. You know that angle C is 108°.

Angles in a triangle add up to 180°.

B and D will be the same size as this is isosceles.

180°-108° = 72°

This is B and D. You only need one of these, so you divide by 2.

The answer is 36°.

Hope this helps :)
Goshia [24]3 years ago
4 0

Answer:

X = 36°

Step-by-step explanation:

ABCDE regular pentagon => C = 108°

x = A = (180° - 108) : 2 = 72 : 2 = 36 °

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The best player on a basketball team makes 85% of all free throws. The second-best player makes
xxTIMURxx [149]

Answer:

i. Estimated number of free throws of the best player = 0.85 * 40

ii. 34 free throws

Step-by-step explanation:

Percentage of free throws made by the best player = 85%

Percentage of free throws made by the second best player = 75%

Percentage of free throws made by the third best player = 70%

Therefore, for 40 attempts;

i. Estimated number of free throws made by the best player = 85% x 40

                                                         = 0.85 x 40

                                                         = 34

ii. Estimated number of free throws made by the second best player = 75%x 40

                                                                 = 0.75 x 40

                                                                 = 30

iii. Estimated number of free throws made by the third best player = 70% x 40

                                                                   = 0.70 x 40

                                                                   = 28

Thus, the equation that gives the estimated number of free throws is 0.85 * 40.

The best player will make about 34 free throws.

8 0
3 years ago
Which of the following is the conjugate of the expression below when x> -3?
harina [27]

Answer:

7+\sqrt{x+3}

Step-by-step explanation:

The conjugate of a radical expression is obtained by changing the sign of the middle term.

The conjugate of a+\sqrt{b} is simply a-\sqrt{b}

Therefore, to obtain the conjugate of the given expression we simply shall be  changing the negative sign to positive;

The conjugate of 7-\sqrt{x+3} is simply;

7+\sqrt{x+3}

5 0
2 years ago
Verify<br>a x (b+c) = a x b + a x c for a =<br>-1/6 b=4/7 c=-2/5​
SVETLANKA909090 [29]

Step-by-step explanation:

✓(-1/6×4/7)+(-1/6×-2/5)

✓(-4/42)+(2/30)

✓(-2/21)+(1/15)

✓(-2/21+1/15)

=-<u>1/35</u>

3 0
2 years ago
The hypotenuse of a right triangle is 9 inches long and another side is 6 inches. Find the length of the missing side. Round you
olga nikolaevna [1]
A² + b² = c²
a² = c² - b²
a² = 9² - 6²
a² = 81 - 36
a² = 45
a = √45
a ≈ 6.7082
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3 0
3 years ago
My question has been deleted I made a mistake
zysi [14]
Retype your question that way we can help answer
7 0
3 years ago
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