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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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Karley is an architect building the city pool. The larger rectangle represents the entire pool area. The smaller rectangle repre
Ahat [919]

Answer:

Area of the walkway border is 736 ft²

Step-by-step explanation:

A rectangle is a quadrilateral (has four sides and four angles) with two pairs of opposite and parallel sides. All angles in a rectangle are 90 degrees each. Also, opposite sides are equal.

The entire pool area has a length of 60 feet and width of 40 feet. The area of the entire pool area is:

Area of entire pool = length * width = 60 feet * 40 feet = 2400 ft²

The area of entire pool

A walkaway border of 4 ft is made around the pool area. There is a decrease of 4 ft round the sides of the pool area.

Therefore length of pool = length of entire pool area - 4 feet border at left - 4 feet border at right  = 60 ft - 4 ft - 4 ft = 52 ft

width of pool = width of entire pool area - 4 feet border at top - 4 feet border at bottom  = 40 ft - 4 ft - 4 ft = 32 ft

Therefore the pool is 52 ft × 32 ft

Area of pool = length * width = 52 ft * 32 ft = 1664 ft²

Area of the walkway border = Entire pool area - Area of pool = 2400 ft² - 1664 ft² = 736 ft²

8 0
3 years ago
Find the simplified product
tekilochka [14]

Answer:

The answer is -30x^{2} \sqrt{2x}, or the first option.

The last option isn't correct for this answer, even though it is correct mathematically. This is because it wants the fully simplified version, so the 5o squared would turn into a 5 and a 2, with the 5 multiplying the -6, and the 2 remaining underneath the square root.

#teamtrees #WAP (Water And Plant)

5 0
3 years ago
The following diagram shows parallel lines cut be a transversal. What is the measure of Angle 2?
Crank
2x + 100 = 5x + 55
3x = 45
x = 15

2(15) + 100 = 130

180-130 = 50

so angle 2 is 50 degrees

3 0
3 years ago
Which line of music shows a reflection?​
ra1l [238]
Is there a picture to this?
7 0
3 years ago
Help please!! i added a picture.
tresset_1 [31]

Answer:

i think the answer is letter F

Step-by-step explanation:

hope this helps can i have brainly thing if so please

7 0
3 years ago
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