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1 year ago

Does someone mind helping me with this question? Thank you!

Mathematics

1 answer:

Soloha48 [4]1 year ago

4 0

Answer: 640

Step-by-step explanation:

The scale factor is 20/5=4, so the ratio of the areas is the square of this, or 16.

Thus, the area of ABCD is 40(16)=640.

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Did I do this correctly?

quester [9]

Answer:

yes

Step-by-step explanation:

you did it right

5 0

2 years ago

Can an octagon have interior angles that measure 100 degrees, 156 degrees, 125 degrees, 90 degrees, 175 degrees, 160 degrees, an

worty [1.4K]

9514 1404 393

Answer:

yes

Step-by-step explanation:

The 7 angles listed have a total of 946 degrees. The total interior angle measure in an octagon is 1080 degrees. So, the remaining angle must have a measure of 134°. The figure is entirely feasible.

4 0

2 years ago

A rectangle has a width one less than the length. If the perimeter is 30 units find the width and length

Olegator [25]

Answer:

7 units by 8 units

Step-by-step explanation:

ALL POSSIBLE PERIMETERS:

1x14

2x13

3x12

4x11

5x10

6x9

7x8

5 0

3 years ago

PLEASE HELP!!! Find the equation , in the standard form of the line passing through the points (3,-4) and (5,1)

ExtremeBDS [4]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 3 &,& -4~) 
% (c,d)
&&(~ 5 &,& 1~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-(-4)}{5-3}\implies \cfrac{1+4}{5-3}\implies \cfrac{5}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-4)=\cfrac{5}{2}(x-3)\implies y+4=\cfrac{5}{2}x-\cfrac{15}{2}$

$\bf y=\cfrac{5}{2}x-\cfrac{15}{2}-4\implies y=\cfrac{5}{2}x-\cfrac{23}{2}\impliedby 
\begin{array}{llll}
\textit{now let's multiply both}\\
\textit{sides by }\stackrel{LCD}{2}
\end{array}
\\\\\\
2(y)=2\left( \cfrac{5}{2}x-\cfrac{23}{2} \right)\implies 2y=5x-23\implies \stackrel{standard~form}{-5x+2y=-23}
\\\\\\
\textit{and if we multiply both sides by -1}\qquad 5x-2y=23$

side note: multiplying by the LCD of both sides is just to get rid of the denominators

5 0

3 years ago

When two fair dice are rolled, what is the probability that at least one of the numbers will be even??

netineya [11]

The probability would be 1/4. The probability of rolling an even number on each die is 1/2. Since there are two dice you would multiply the probability of each die together. 1/2*1/2=1/4. The reason you would this is because you could roll two odd numbers that equal an even number such as 3 and 5.

4 0

3 years ago