Answer:
100
Step-by-step explanation:
16x + 19x + 5 = 180 {co-interior angles are supplementary}
Combine like terms;
35x + 5 = 180
Subtract 5 from both sides
35x = 180 - 5
35x = 175
Divide both sides by 35
x = 175/35
x = 5
19x + 5 = 19*5 + 5
= 95 + 5
= 100
Answer:
(1, 8.5 ) and ( - 17, 80.5 )
Step-by-step explanation:
Given the 2 equations
y =
x² + 4x + 4 → (1)
y = - 4x + 12
→ (2)
Substitute (1) into (2), that is
x² + 4x + 4 = - 4x + 12
( multiply through by 2 to clear the fractions )
x² + 8x + 8 = - 8x + 25 ( add 8x to both sides )
x² + 16x + 8 = 25 ( subtract 25 from both sides )
x² + 16x - 17 = 0 ← in standard form
(x + 17)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 17 = 0 ⇒ x = - 17
x - 1 = 0 ⇒ x = 1
Substitute these values into either of the 2 equations and evaluate for y
Substituting into (2 )
x = 1 : y = - 4(1) + 12.5 = - 4 + 12.5 = 8.5 ⇒ (1, 8.5 )
x = - 17 : y = - 4(- 17) + 12.5 = 68 + 12.5 = 80.5 ⇒ (- 17, 80.5 )
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<span>The Correct Answer is
Associative Property of Multiplication (Numbers) </span>6 • (3 • 2) = (6 • 3) • 2<span>
<span>
Additive Identity (Numbers) </span></span>6 + 0 = 6
<span>
Additive Inverse (Numbers) </span>5 + (-5) = 0
<span>
Multiplicative Identity (Numbers) </span>5 • 1 = 5<span>
</span>
Answer:
The unknown number is 66.
Step-by-step explanation:
We know that we need to find the number that is 55 when calculated as 5/6 or the whole number. First, we must divide 55 by 5.
55 ÷ 5 = 11
This means that 1/6 of the unknown number is 11.
Now, let's multiply 11 by 6.
11 x 6 = 66
Therefore, the unknown number is 66.
Hope this helps! :)