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Rufina [12.5K]
3 years ago
12

Two angles form a linear pair. The measure of one angle is 2/3 the measure of the other angle. Find the measure of each angle

Mathematics
1 answer:
Luba_88 [7]3 years ago
5 0

Answer:

108° and 72°

Step-by-step explanation:

let one angle be x then the other angle is \frac{2}{3} x

the sum of the 2 angles = 180°, hence

x + \frac{2}{3} x = 180 ( combining the left side )

\frac{5}{3} x = 180

multiply both sides by 3 then divide both sides by 5

5x = 540 ⇒ x = 108

the 2 angles are x = 108° and \frac{2}{3} x = 72°




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3 years ago
Felicia places a rectangular rug that measures 10 feet by 11 feet in a triangular room with a base of 30 feet and height of 22 f
arsen [322]

Answer:

1. Area of rectangular rug is 110 ft^{2}

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Step-by-step explanation:

This problem bothers on the mensuration of flat shapes, rectangle and triangle.

step one

let us start by solving for the area of the rectangular rug

given data

Area A =  ?

Length l =  11 ft

Width w=  10 ft

we know that the area of a rectangle is expressed as

Area=Length * Width

substituting our given data we have

Area= 11*10\\Area= 110 ft^{2}

step two

let us  solve for the area of the triangular room

given data

Area A =  ?

base b =  30 ft

height  h=  22 ft

we know that the area of a triangle is expressed as

Area= \frac{1}{2} *base* height\\

substituting our given data we have

Area= \frac{1}{2} * 30* 22\\Area=\frac{660}{2} \\Area= 330 ft^{2}

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