MATHEMATICS MIDDLE SCHOOL

~please only answer if you know for sure~
-Thank you-
Yacine avatar

Answers

Answer 1
Answer: DF and AC are similar

and

BC and EF are similar sides

So make a proportion

\sf{ (AC)/(DF) = (BC)/(EF) }

Plug in the numbers

\sf{ (9)/(DF) = (15)/(25) }

Cross multiply

\sf{DF * 15 = 9 * 25}

Isolate DF and simplify it

\sf{DF = 15}

And so your final answer is

\boxed{\bf{15 ~centimeters}}

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140 degrees decreased by 65%

Answers

49 degrees... The best way to do that would be to know that A. your answer will be 35% of 140 (100% - 65%). From there, multiply 140 by .35, hence your answer of 49

Gloria says the two expressions 1/4(12x + 24) - 9x and -6(x + 1) are equivalent. Is she correct? Explain why or why not.

Answers

The first expression is equal to 3x + 24 - 9x, or 24 - 6x, and the second equation equals 6-6x. If you set them equal to eachother, you get 24 - 6x = 6 - 6x. The 6x's cancel out, so you're left with 24 = 6, which is not true. The expressions are not equivalent.
so first distribute
1/4(12x+24)=3x+8
so 3x+8-9x=8-6x

-6(x+1)=-6x-6
8-6x is not equal to -6-6x
so she is NOT correct, they are not equivilent

What is the volume of the right prism?A. 50 in3

B. 600 in3

C. 1200 in3

D. 400 in3

Answers

Volume of a right prism = Area of the base * height

the base is the right triangle.
Area of a right  triangle = ab/2
a = 15 inches ; b = 8 inches

Area of a right triangle = (15in * 8in)/2 = 120 in² / 2 = 60 in²

V = B * h
V = 60 in² * 10 in 
V = 600 in³  Choice B.

an 8 by 18 ft wall has three 4 by 5 ft windows.the area of the three windows is what percent of the area of the entire wall (including the windows)?

Answers

Answer:

Percentage of area of the three windows of the area of entire wall = 41.67%

Step-by-step explanation:

To find the percentage of area of the three window of the area of entire wall, we will need to find the area of the window (Length*breath) as well as the area of the entire wall (length*breath).

Area of the window = 4ft * 5ft = 20ft²

Area of three windows = Area of the window * 3

Area of the three windows = 20ft² * 3

Area of the three windows = 60ft²

Area of the entire wall = 8ft * 18ft

Area of the entire wall = 144ft²

Percentage of area of the three windows of the area of entire wall = area of the three windows / area of the entire wall * 100

= 60ft²/144ft² * 100

= 41.67%
area of windows = (3×4×5)
= 60
area of wall = 8×18
= 144
=(60÷144)×100
=0.4167 × 100
=41. 67% or
=42 %

When the scarecrow from the Wizard of Oz said, " The sum of the square roots of any two sides of an Isosceles Triangle is equal to the square root of the remaining side." Is he correct or incorrect, please explain how you found the answer.

Answers

he is correct. how do i know? im smart

jennifer earns 720.00 per week alex earn 3/4 of what jennifer earns per week how much does alex earn per week

Answers

Answer:

alex earns 540.00

Step-by-step explanation:
Alex earns £540 per week
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