Option C:
The value of x is 27.
Solution:
Given exterior angles are 56°, 2x°, 85°, 57° and 4x°.
<em>Sum of exterior angles of a polygon = 360°</em>
⇒ 56° + 2x° + 85° + 57° + 4x° = 360°
⇒ 198° + 6x° = 360°
Subtract 198° from both sides of the equation.
⇒ 6x° = 162°
Divide by 6 on both sides, we get
⇒ x° = 27°
⇒ x = 27
The value of x is 27.
Option C is the correct answer.
Answer:
The answer is 2240m².
Step-by-step explanation:
Given that the formula of area of trapezium is A = 1/2×(a+b)×h where a and b represents the length and h is height :
![area = \frac{1}{2} \times (a + b) \times h](https://tex.z-dn.net/?f=area%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20%28a%20%2B%20b%29%20%5Ctimes%20h)
![let \: a = 50 \\ let \: b = 90 \\ let \: h = 32](https://tex.z-dn.net/?f=let%20%5C%3A%20a%20%3D%2050%20%5C%5C%20let%20%5C%3A%20b%20%3D%2090%20%5C%5C%20let%20%5C%3A%20h%20%3D%2032)
![area = \frac{1}{2} \times (50 + 90) \times 32](https://tex.z-dn.net/?f=area%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20%2850%20%2B%2090%29%20%5Ctimes%2032)
![area = \frac{1}{2} \times 140 \times 32](https://tex.z-dn.net/?f=area%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20140%20%5Ctimes%2032)
![area = 70 \times 32](https://tex.z-dn.net/?f=area%20%3D%2070%20%5Ctimes%2032)
![area = 2240 \: {m}^{2}](https://tex.z-dn.net/?f=area%20%3D%202240%20%5C%3A%20%20%7Bm%7D%5E%7B2%7D%20)
I’m pretty sure it would be just E and F
Triangle ABC and triangle XYZ are similar based on angle-side-angle criterion.
Triangle ABC and triangle RQP are similar based on side-angle-side criterion.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Two triangles are said to be congruent if they have the same shape and their corresponding sides are congruent.
Triangle ABC and triangle XYZ are similar based on angle-side-angle criterion.
Triangle ABC and triangle RQP are similar based on side-angle-side criterion.
Find out more on equation at: brainly.com/question/2972832
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