Answer:
∠y=60°
Step-by-step explanation:
Question says to find the measure of the angle Y.
We have been given a picture of triangle XYZ. All angles are marked with same sign so that indicates that all three angles are equal.
∠x = ∠y = ∠z...(i)
We know that sum of all three angles of the triangle is always 180°.
So we can write:
∠x+∠y+∠z=180°
∠y+∠y+∠y=180° {using equation (i) }
3∠y=180°
divide both side by 3
∠y=60°
Hence final answer is the measure of angle y is 60 degree.
Answer:
4b+17
Step-by-step explanation:
3(b+5)+b+2=
3b+15+b+2=
4b+17
Let's solve for y.
<span><span>11−<span><span>12</span>y</span></span>=<span>3+<span>6x
</span></span></span>Step 1: Add -11 to both sides.
<span><span><span><span><span><span>−1/2</span></span>y</span>+11</span>+<span>−11</span></span>=<span><span><span>6x</span>+3</span>+<span>−11
</span></span></span><span><span><span><span>−1</span>2</span>y</span>=<span><span>6x</span>−8
</span></span>Step 2: Divide both sides by (-1)/2.
<span><span><span><span><span>−1/</span>2</span>y</span><span><span>−1/</span>2</span></span>=<span><span><span>6x</span>−8/-1/2
</span></span></span><span>y=<span><span>−<span>12x</span></span>+16</span></span><span>
</span>
By definition of absolute value we have two equalities:
2x + 1 = 10
2x + 1 = -10
For 2x + 1 = 10:
2x + 1 = 10
2x = 10-1
2x = 9
x = 9/2
For 2x + 1 = -10:
2x + 1 = -10
2x = -10-1
2x = -11
x = -11 / 2
Answer:
{-11/2, 9/2}
