Step-by-step explanation:
Given that,
We have to find the value of m∠E.
Here, two sides are equal, thus it is an isosceles triangle. As the two sides are equal, so their angles must be equal. So, ∠E and ∠D will be equal. Let us assume the measures of both ∠E and ∠D as x.
→ Sum of all the interior angles of ∆ = 180°
→ ∠E + ∠D + ∠F = 180°
→ 116° + x + x = 180°
→ 2x = 180° – 116°
→ 2x = 64°
→ x = 64° ÷ 2
→<u> x = 32°</u>
Henceforth,
→ m∠E = x
→ m∠E = 32°

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Answer:
Below in bold.
Step-by-step explanation:
y = x^2-8x+6
y = (x - 4)^2 - 16 + 6
y = (x - 4)^2 - 10
So the vertex is at (4, -10)
The coefficient of x^2 of this function is 1 ( positive) so there will be a minimum value.
Minimum value = -10.
x-intercepts:
(x - 4)^2 - 10 = 0
(x - 4)^2 = 10
x - 4 = +/- √10
x = 4 +/- √10
- therefore there are 2 x-intercepts.
Step-by-step explanation:
r-5r-6s+8s-15
-4r+2s-15
= 2s-4r-15
Answer:
Length = 14.6667
Width = 9.33333
Step-by-step explanation:
let the length be x
Width = (x/2)+2
Perimeter = 2(L+W)
Perimeter = 2(x+(x/2+2)) =48
2[(3/2)x + 2] =48
3x+4= 48
3x = 44
x =14.666667
width = (14.666667/2)+2
Width = 9.333333
<em>PLEASE RATE BRAINLIEST</em>
There is 14 green marbles because
2/5 = 16 blue marbles
1/4 = 10 red marbles so 16+10= 26 & 40-26=14