Answer:
x=56 and the exterior angle is 116
Step-by-step explanation:
We will call the unknown angle in the triangle y. Angle y and the angle (2x +4) form a straight line so they make 180 degrees.
y + 2x+4 =180
Solve for y by subtracting 2x+4 from each side.
y + 2x+4 - (2x+4) =180 - (2x+4)
y = 180-2x-4
y = 176-2x
The three angles of a triangle add to 180 degrees
x+ y+ 60 = 180
x+ (176-2x)+60 = 180
Combine like terms
-x +236=180
Subtract 236 from each side
-x+236-236 = 180-236
-x = -56
Multiply each side by -1
-1*-x = -56*-1
x=56
The exterior angle is 2x+4. Substitute x=56 into the equation.
2(56)+4
112+4
116
Answer:
If I'm correct it should be the second one
Step-by-step explanation:
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Step-by-step explanation:
Initial volume is given by,
V = A× h
When the height is increased by 10%, new height i.e h'
Similarly ,when the area of the base reduced by 10%, new area i.e A'
Therefore, new volume V'
V'= A'h'
optionA
Answer:
Natalie got 3, Veronica got 9.
Step-by-step explanation:
N = Natalie
If Veronica got 3 times as many as Natalie, then she got 3N.
Add them together:
N + 3N = 12
4N = 12
N = 3
Therefore,
Natalie got 3 (N = 3)
Veronica got 9 (3N = 3 x 3 = 9)
Answer:
8/22
Step-by-step explanation:
Recall that two ratios a/b and c/d are equivalent if exists e such that:
a = ec and b = ed
Therefore, for all e>0 we get that 4e/11e is equivalent to 4/11, particularly for e=2 we get:
8/22
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