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3 years ago

Help me!

Mathematics

2 answers:

vovangra [49]3 years ago

8 0

Answer:

OPTION D

Step-by-step explanation: PLS MARK BRAINLIEST :D

pickupchik [31]3 years ago

7 0

D

is the answer to your question

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The length of each side of an equilateral triangle is increased by 20%, resulting in triangle ABC. If the length of each side of

kompoz [17]

Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

$A=\frac{\sqrt{3} }{4} a^{2}$

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

$A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}$

$A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}$

Triangle DEF is 20% smaller than the original, which means its side is:

a₂ = 0.8a

So, area is

$A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}$

$A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}$

Now, comparing areas:

$\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )$

$\frac{A_{1}}{A_{2}} =$ 2.25

The area of ΔABC is 2.25x greater than the area of ΔDEF.

7 0

3 years ago

Sandra ran a mile race in 7.06 minutes. Joanne finished the race in 7.60 minutes.

Anton [14]

If you would like to know which statement is true, you can do this using the following steps:

7.06 minutes < 7.60 minutes
Sandra: 7.06 minutes
Joanne: 7.60 minutes

The correct result would be A. Sandra had the faster time.

8 0

3 years ago

(PLS HELP?) Quadrilateral WXYZ is a rectangle. The perimeter of triangle XYZ=24, XY+YZ=5x-1, and XZ=13-x. Find the length of WY.

otez555 [7]

$P_{\Delta XYZ}=24;\ |XY|+|YZ|=5x-1;\ |XZ|=13-x\\\\P_{\Delta XYZ}=|XY|+|YZ|+|XZ|\\\\subtitute\\\\24=(5x-1)+(13-x)\\\\5x-1+13-x=24\\\\4x+12=24\ \ \ |subtract\ 12\ from\ both\ sides\\\\4x=12\ \ \ \ |divide\ both\ sides\ by\ 4\\\\x=3\\\\WXYZ\ is\ a\ rectangle\ therefore\ |WY|=|XZ|\\\\|WY|=13-x\\\\Answer:\boxed{|WY|=13-3=10}$

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3 years ago

From a bag of 5 red and 6 green marbles, a red marble is drawn and NOT 1

atroni [7]

Answer:

Step-by-step explanation:

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3 years ago

What is the first step to isolate the variable term on one side of the equation?

Vilka [71]

Answer:

the answer to the whole equation is x=30.

Step-by-step explanation:

do 2/3(2) and -1/2(3)

4/6x and -3/6x

add the -3/6x to the other side

7/6x or 1 and 1/6x=5

times both by 6

x=30

5 0

3 years ago