Answer:
∠ C = 36°
∠ D= 81°
∠ DEC= 63°
Step-by-step explanation:
<em>The exterior angle of a triangle is equal to the sum of the interior opposite angles. </em>
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∴ (11y + 4) + (5y + 1) = 117
11y + 4 + 5y + 1 = 117
16y + 5 = 117
16y = 117-5
16y = 112
y = 112÷16
y = 7
∠ C = 5×(7) + 1 = 36°
∠ D = 11×(7) + 4 = 81°
∠ DEC = 180- 117 = 63°
<u><em>PLEASE MARK THIS ANSWER AS THE BRAINLIEST</em></u>
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<u>Statement</u><u>:</u>
R is the midpoint of QS.
<u>To </u><u>find </u><u>out:</u>
The measure of QS.
<u>Solution</u><u>:</u>
- QR + RS = QS
- Since R is the midpoint of QS, then QR = RS.
- QR = 2x + 16, RS = 5x - 17.
- Therefore, 2x + 16 = 5x - 17
- or, 2x - 5x = -17 - 16
- or, -3x = -33
- or, x = -33 ÷ -3
- or, x = 11
- Therefore, QR = 2(11) + 16
- = 22 + 16 = 38
- So, QS = 2QR
- = 2 × 38
- = 76
<u>Answer</u><u>:</u>
QS is 76.
Hope you could understand.
If you have any query, feel free to ask.
Answer:
y = 2x² - 5x + 7
Step-by-step explanation:
General form of a quadratic is:
y = Ax² + Bx + C
Using the given points, construct equations and solve for A,B and C.
When x = 0, y = 7
7 = A(0)² + B(0) + C
C = 7
y = Ax² + Bx + 7
When x = -1, y = 14
14 = A(-1)² + B(-1) + 7
A - B = 7
A = 7 + B
When x = 1, y = 4
4 = A(1)² + B(1) + 7
A + B = -3
(7 + B) + B = -3
2B = -10
B = -5
A = 7 + (-5)
A = 2
y = 2x² - 5x + 7
