<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
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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:
y = 5x + 20
Step-by-step explanation:
Here, we want to find the slope intercept form equation of the trend line
The general form is:
y =
mx + b
b is slope and m
is the y-intercept
b = 20
To get the slope, we select any two points and use the slope formula
we have the points;
(10,70) and (5,45)
The slope formula is;
m = (y2-y1)/(x2-x1) = (45-70)/(5-10) = -25/-5 = 5
The equation of the line is thus;
y = 5x + 20
Answer:
642
Step-by-step explanation:
area equals LxW
divide 24396/38
answer 642
642x38= 24396
10+15+20+25+30+35+40+45+50+55+60+65=450
There are 450 seats in the auditorium
*pst* Put as most brainliest
