Answer:
<ABC=50
<EDB=30
<DFC=60
Step-by-step explanation:
<ABC=50 BECAUSE ANGLE SUM PROPERTY
90+40+50=180
<EDB=30 BECUSE ANGLE SUM PROPERTY
100+50+30=180
<DFC=60 BECAUSE ANGLE SUM PROPERTY
30+90+50=180
HOPE IT HELPS <3<3
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The Law of Sines says



We don't have to worry about the obtuse supplement because a triangle can only have one obtuse angle, and that's B.

Answer: A=29.44°, C=34.96°
Answer:
3 4, 5 0 6
Step-by-step explanation:
88,946 - 54,440 = 34,506
So missing number :
3 4, 5 0 6
The area of the shaded triangle formed as the result of the overlap is = 62.35 inches ²
<h3>Calculation of the equilateral triangle</h3>
After folding the rectangle with length of 12 inches and width of 18 inches, an equilateral triangle was formed.
An equilateral triangle is a type of triangle where by all the three sides are equal.
To determine the value of one of the sides, CB or CD is used because the folding didn't affect these sides.
Using the formula for the area of an equilateral triangle,
A = √¾ a²
a= 12 inches
A = √¾ ×12²
A = 62.35 inches ²
Learn more about triangle here:
brainly.com/question/1058720
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Answer:
Lets take all factors into consideration first
The door is a rectangle and the area of a rectangle is length times width
Let the width be w
Let the length be l
Equation length × breadth = area
(w+48)w = 3024
w^2 + 48w = 3024
w^2 + 48w - 3024 = 0
w^2 + 84w - 36w - 3024 = 0
w(w + 84) -36 ( w + 84) = 0
(w + 84) (w - 36) = 0
w + 84 = 0 AND w - 36 =0
w = -84 and w = 36
Since width cannot be negative, the right answer is 36
How did I get 84 and 36? Well, I had to factorize 3024 and since 84 times 36 is 3024 and 84 minus 36 is 48, I chose them.