Check the picture below.
recall that a flat-line is always 180°, also recall that all interior angles in a triangle are 180°, therefore
x + 95 + 54 = 180. Surely you'd know what "x" is.
Answer:
I'll explain below, just follow the directions. I can't directly draw it.
Step-by-step explanation:
find the length and the width of a rectangle whose perimeter is 18 ft
2L + 2W = 18
simplify, divide by 2
L + W = 9
L = (9-W)
:
whose area is 20 square feet
L*W = 20
Replace L with (9-W)
W(9-W) = 20
-W^2 + 9W - 20 = 0
Multiply by -1, easier to factor
W^2 - 9W + 20
Factors to
(W-4)(W-5) = 0
Two solutions
W = 4 ft is width, then 5 ft is the Length
and
W = 5 ft is the width, then 4 ft
Answer:
-1.378
Step-by-step explanation:
See the attached information
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pdf
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Answer:
- Part 2 - ∠EGF = 105°
- Part 3 - ∠D = 65
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Step-by-step explanation for Part-2:
<u>We know that:</u>
- ∠EFG = 32°
- ∠AEG = 137°
- ∠EFG + ∠FGE + ∠GEF = 180°
<u>Work:</u>
- ∠EFG + ∠FGE + ∠GEF = 180°
- 32 + ∠FGE + (180 - 137) = 180°
- => 32 + ∠FGE + 43 = 180°
- => 75 + ∠FGE = 180°
- => ∠FGE = 180 - 75
- => ∠FGE = ∠EGF = 105°
Hence, the measure of ∠EGF is 105°.
<h3>________________________________________________</h3>
Step-by-step explanation for Part-3:
<u>We know that:</u>
- CD = CA
- This triangle is an isosceles triangle.
- ∠D = ∠A
<u>Work:</u>
- 50 + ∠D + ∠A = 180
- => ∠D + ∠D = 130
- => 2∠D = 130
- => ∠D = 130/2
- => ∠D = 65
Hence, the measure of ∠D is 65°
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