Answer:
X = 13
y= 54
Step-by-step explanation:
9x-7=7x+19 (vertical opposite angle)
9x-7x=19+7
2x=26
X=13°
now ,
(9x-7)= 9x13-7=110
(9x-7)+(y+16)=180 sum of the straight angle
110+y+16=180
y=54
Answer:
<A=42°
Step-by-step explanation:
If the exterior of angle C is 126, the interior is 54.
The sum of the other two angles must be 126. (Exterior Angle Theorem)
If B is twice A, we divide 126 into thirds. This is 42.
So A is 42, B is 84, and C is 54.
Answer:

Step-by-step explanation:
We want to write a quadratic function in vertex form whose vertex is (1, 0) and passes through the point (2, -17).
Recall that vertex form is given by:

Where (<em>h</em>, <em>k</em>) is the vertex and <em>a</em> is the leading coefficient.
Since our vertex is at (1, 0), <em>h</em> = 1 and <em>k</em> = 0:

It passes through the point (2, -17). Hence, when <em>x</em> = 2, <em>y</em> = -17:

Solve for <em>a: </em>
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In conclusion, our quadratic function in vertex form is:

Answer:
x = -13
Step-by-step explanation:
3(x+1) = 2(x-5)
3x + 3 = 2x - 10
3x - 2x = -10 - 3
x = -13