<h3>
Answer:</h3>
42. 29°
43. 3x³ +2x² -3x +10
44. 20a² +68a
<h3>
Step-by-step explanation:</h3>
42. The right-angle corner tells you the two marked angles are complementary — they sum to 90°.
(-3x +20)° + (-2x +55)° = 90°
-5x +75 = 90 . . . . . . . . . . collect terms, divide by °
-5x = 15 . . . . . . . . . . . . . . . subtract 75
x = -3 . . . . . divide by the coefficient of x
The angle of interest is (-3x+20)°. Filling in the found value for x, we have ...
(-3·(-3) +20)° = 29° = m∠BDC
___
43. The distributive property is useful for multiplying polynomials.
(x +2)(3x² -4x +5) = x(3x² -4x +5) +2(3x² -4x +5)
= 3x³ -4x² +5x +6x² -8x +10 . . . . . eliminate parentheses
= 3x³ +2x² -3x +10
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44. Area is the product of length and width, so this becomes a problem in multiplying polynomials.
area = (5a +17)(4a) = 20a² +68a . . . . area in square feet
Answer:
D
Step-by-step explanation:
corresponding angeles will be equal when parallel lines are cut by traversal.
so 7x+5=33
Answer:
-4
hope this answer helps you...
The answer will help you.
<span><span><span><span>13x</span>−<span>5x</span></span>+6</span>=<span>6+<span>8x
</span></span></span><span><span><span><span><span>13x</span>+</span>−<span>5x</span></span>+6</span>=<span>6+<span>8x
</span></span></span><span><span><span>(<span><span>13x</span>+<span>−<span>5x</span></span></span>)</span>+<span>(6)</span></span>=<span><span>8x</span>+<span>6
</span></span></span><span><span><span>8x</span>+6</span>=<span><span>8x</span>+6
</span></span><span><span><span>8x</span>+6</span>=<span><span>8x</span>+<span>6
</span></span></span><span><span><span><span>8x</span>+6</span>−<span>8x</span></span>=<span><span><span>8x</span>+6</span>−<span>8x
</span></span></span><span>6=6
</span><span><span>6−6</span>=<span>6−6
</span></span><span>0=<span>0
It has a real numbers are solutions.
And the answer is A.</span></span>
