Problem 44
The term "bisect" means "cut in half".
Since BD bisects angle ABC, this means the smaller angles ABD and DBC are congruent.
angle ABD = angle DBC
x+15 = 4x-45
15+45 = 4x-x
60 = 3x
3x = 60
x = 60/3
x = 20
<h3>Answer: x = 20</h3>
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Problem 45
We use the same idea as the previous problem
angle ABD = angle DBC
2x+35 = 5x-22
35+22 = 5x-2x
57 = 3x
3x = 57
x = 57/3
x = 19
<h3>Answer: x = 19</h3>
So it is an isosceles triangle that means that the bottom two angles are equal...
so
40 = 5x
divide both sides by 5 and you get 8
now the triangle angles add up to 180
we make an equation out of it...
(2y + 20 ) + ( 5(8)) + 40 = 180
2y + 20 + 40 + 40 = 180
combine like terms
2y + 100 = 180
so subtract 100 from both sides
2y = 80
divide by 2 to isolate the variable
y = 40
You are correct!!! :)
Answer: if the width was not effected then the width is still 24 inches
if the area stayed the same, then
find area
area=legnth times width
288=12 times 24
so the new height./legnth =2
288=2 times width
divide by 2
144=width'
the new width =144
Answer:
Option A) 32c
Step-by-step explanation:
we know that
To find the unit cost, divide the total cost of twelve pounds by twelve pounds
so
Remember that
1$=100 cents
Convert dollars to cents
therefore
The cost of one pound of nails cost 32 cents
Step-by-step explanation:
it's easy to prove in any right triangle with a 30° angle, the side opposite to that angle is half the hypotenuse. CA (1/2)BC, CA/BC=1/2
