Answer:
She started with 8 books.
Step-by-step explanation:
First, divide the shape into two shapes: the trapezoid on the very top and the large rectangle that makes up most of the bottom. Then, find the area of each, and add them together for the total area.
<u>Trapezoid:</u>
A=0.5(b1+b2)h
A=0.5(7+14)5
A=0.5(21)5
A=52.5
<u>Rectangle:</u>
A=lw
A=12(14)
A=168
52.5+168=220.5
The area is 220.5 square feet.
Hope this helps!!
Answer: " x = 31 " .
<span>_________________________________________________________
Explanation:
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If the two lines that are shown in the figure: "line a" and "line b" ; are parallel;</span>{ that is; if " a∥b " } :
{ that is; if " <span>a∥b " } :
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</span><span>The following would be true:
1) "</span>∠2 & ∠8 " would be equal; since they are "alternate exterior angles".
2) "∠1 & ∠7 " would be equal; since they are "alternate exterior angles".
3) "∠1 & ∠3" would be equal; since they are "vertical angles".
4) "∠5 & ∠7 would be equal; since they are "vertical angles".
5) "∠8 & ∠6 would be equal; since they are "vertical angles".
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So, if " a∥b " ; then:
" m∠1 = m∠3 = m∠5 = m∠7 " .
and: " m∠2 = m∠4 = m∠6 = m∠8 " ;
and: " m∠6 + m∠3 = 180 " ;
since: "m∠3 = m∠7 " ;
and: "∠5 & ∠7" are "supplementary angles" ; which, by definition, add up to 180.
Also, look at "∠2 and ∠3" . These are "supplementary angles" , which, by definition, add up to 180.
We know that "m∠2 = m∠6" ; So: " m∠2 + m∠3 = m∠6 + m∠3 = 180 ".
Given "m∠3 + m∠6 = 180" ;
and given: "m∠3 = 2x + 15" ;
and given: "m∠6 = 3x + 10" ;
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→ 2x + 15 + 3x + 10 = 180 ; Solve for "x" ;
→ 2x + 3x = 5x ;
→ 10 + 15 = 25 ;
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→ 5x + 25 = 180 ;
Subtract "25" from each side of the equation:
→ 5x + 25 − 25 = 180 <span>− 25 ;
</span>
to get:
→ 5x = 155 ;
Divide each side of the equation by "5" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ 5x / 5 = 155 / 5 ;
to get:
→ " x = 31 " .
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Answer:
3(4x + 1)(x - 4) Answer choice B
Step-by-step explanation:
-12x^2 + 45 + 12
You would take out the -3 in the equation.
-3(4x^2 -15x - 4)
You can then multiply the first 4 and the last -4 and get a -16. You can then find two numbers that would multiply to -16 and add to -15.
You would do this by listing the factors of -16, which the numbers 1 and -16 would work.
You would then substitute each value in for the 17x and add them together, which this is just separating the value 17x.
3(4x^2 - 16x + x - 4)
3(4x^2 - 16x)(x - 4)
You can then take ou ta four for the first function in the parentheses.
3(4x(x - 4) 1(x - 4))
Then you take the function from the outside and the inside.
3(4x + 1)(x - 4)
The answer to the question would be B.
Divide 138.16 by 3.14. This gives a diameter of 44 meters.
Hope this helped :)