Answer:
The measure of ∠EFG is 52°
Step-by-step explanation:
Given line m is parallel to line p. m∠HEF = 39º and m∠IGF = 13º.we have to find m∠EFG.
In ΔJFG,
By angle sum property of triangle, which states that sum of all angles of triangle is 180°
m∠FJG+m∠JGF+m∠JFG=180°
⇒ 39°+13°+m∠JFG=180°
⇒ m∠JFG=180°-39°-13°=128°
As JFE is a straight line ∴ ∠JFG and ∠EFG forms linear pair
⇒ m∠JFG+m∠EFG=180°
⇒ 128°+m∠EFG=180°
⇒ m∠EFG=52°
The measure of ∠EFG is 52°
The width and length of the rectangle are 6.4 feet and 12. 96 meters respectively.
<h3>How to determine the dimensions</h3>
The formula for determining the area of a rectangle is expressed as;
Area = width × length
Given that;
- Area = 84 square feet
- length = 2w
Let's substitute into the formula
84 = w(2w)
84 = 2w²
Divide both sides by 2
84/ 2 = w²
42 = w²
Take square root of both sides
w = √42
w = 6.4 feet
Length = 2w = 2 × 6. 4 = 12. 96 meters
Thus, the width and length of the rectangle are 6.4 feet and 12. 96 meters respectively.
Learn more about rectangles here:
brainly.com/question/25292087
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Let x be the length of the rug
Area = length x width
122.12 = (x)(8.7)
x = 122.12/8.7
= 14.04 feet
Answer:
48,900
Step-by-step explanation:
Round
