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PtichkaEL [24]
3 years ago
10

In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angl

e. A straight line is shown and is marked with three angles. The first angle measures 60 degrees. The second angle measures 60 degrees. The third angle is labeled y. The line between the 70 degree angle and angle y extends below the straight line. The angle formed is labeled angle x. Write and solve an equation to determine the measure of angle x.

Mathematics
1 answer:
Vladimir79 [104]3 years ago
8 0

Answer:

50

Step-by-step explanation:

According to this description, we'd have a 180 angle cut into three angles labeled 60, 70, and y. Therefore, we'd subtract the sum of 60 and 70 from 180. Since y and x are vertical angles, they are congruent.

70+60=130

180-130=50

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Mekhanik [1.2K]

Answer:

101.9 sq ft

Step-by-step explanation:

The figure is missing: find it in attachment.

Here we want to find the lateral surface area of the figure, which is the sum of the areas of all faces.

We have in total 5 faces:

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- 1 of them is a rectangle with sizes (3.3 ft x 5.1 ft), so its area is

A_2 = 3.3\cdot 5.1 =16.8 ft^2

- 1 of them is a rectangle with sizes (6.8 ft x 3.3 ft), so its area is

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A_T=\frac{1}{2}bh

where

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h = 6.8 ft is the height (because the triangle is a right triangle)

So the area of the triangle is

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So the total lateral surface area of the figure is:

A=A_1+A_2+A_3+2A_T=28.1+16.8+22.4+2(17.3)=101.9 ft^2

5 0
4 years ago
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Alisiya [41]

Hello!

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I can see here that this can be divided into a triangle and a rectangle using a horizontal line.

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This would also make a right triangle, meaning we could solve for the hypotenuse utilizing the Pythagorean Theorem.

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Answer:

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