Answer:
Equation: (29x + 12)° + (15x - 8)° = 180°
x = 4
m∠ 5 = 52°
Step-by-step explanation:
Given:
m∠ 1 = 29x + 12,
m∠ 5 = 15x - 8
Since all lines that appear are parallel, therefore, opposite angles of the quadrilateral are congruent.
Therefore, m<1 = m<4 = 29x + 12
m<4 + m<5 = 180° (linear pair)
(29x + 12) + (15x - 8) = 180° (substitution)
The equation above is what we would use in solving for x. Let's solve for x:
29x + 12 + 15x - 8 = 180
Collect like terms
44x + 4 = 180
Subtract 4 from both sides
44x = 180 - 4
44x = 176
Divide both sides by 44
x = 176/44
x = 4
m∠ 5 = 15x - 8
Plug in the value of x
m∠ 5 = 15(4) - 8 = 60 - 8
m∠ 5 = 52°
Answer:
13
Step-by-step explanation:
16*26 = 416
Converting fl oz to quarts is x/32
16/32 = 0.5 quarts
416/32 = 13
Answer:
600:450:450
Step-by-step explanation:
8+6+6= 20
1500/20=75
8*75= 600
6*75= 450
6*75=450
Check:
600/75= 8
450/75= 6
450/75=6
Anwser
D) 160
Step by step explanation
To find the area of a object you must multiply the length by the height in this case they gave you an equation instead of an exact height so the first thing you have to do is:
20m x 16m = 320m
But as you can see, all of the answers have an exponent of two meaning we would have to divide 320 by 2
320 ÷ 2 = 160
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