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professor190 [17]
3 years ago
11

Find the value of x. Then, find the measure of each labelled angle.

Mathematics
1 answer:
wolverine [178]3 years ago
3 0

Answer:

x = 7deg

Step-by-step explanation:

7x + 10 + 15x + 16 = 180 (angles adjacent to each other in a //polygon are supplementary)

22x = 154

x = 7deg

This is a question on polygons and angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

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Find the missing angle on a quadrilateral. Angle C equals 80 degrees, Angle D equals 90 degrees, and angle E equals 135 degrees.
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All quadrilateral angles have to add up to a total of 360°, so we just need to add the angles we already have and subtract that from 360.
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What equivalent expression was used<br> 3y+4y​
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A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13 What is the: Total Surface Area of the Prism
sdas [7]

Given:

A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13.

To find:

The total surface area of the prism.

Solution:

We have,

Height of prism = 7½ = 7.5

Sides of triangular base are 5, 12, 13. These sides of Pythagorean triplets because

5^2+12^2=13^2

25+144=169

169=169

So, the base of the prism is a right triangle.

Area of a triangle is

Area=\dfrac{1}{2}\times base \times height

A_1=\dfrac{1}{2}\times 5\times 12

A_1=30

The area of the base is equal to the area of the top, i.e., A_2=30 sq units.

Perimeter of the base is

P=5+12+13

P=30

The curved surface area of the prism is

CSA=\text{Perimeter of the base}\times \text{Height of the prism}

CSA=30\times 7.5

CSA=225

Now, the total area of the prism is

A=A_1+A_2+CSA

A=30+30+225

A=285

Therefore, the total surface area of the triangular prism is 285 square units.

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Determine whether −2a3b3+15c38z3 is a monomial, binomial, trinomial, or other polynomial.
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