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Paha777 [63]
2 years ago
6

(please help) look at the picture below

Mathematics
1 answer:
aev [14]2 years ago
8 0
Answer: 0.75 . Work is shown below

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Quadrilateral ABCD is similar to Quadrilateral EFGH. Diagonal AC has length 7 and diagonal EG has length 13. What is the scale f
olasank [31]

Answer:

\large \boxed{\text{A. }\dfrac{13}{7}\text{; B. }\dfrac{17}{14} \text{; C. 507 in}^{2}}

Step-by-step explanation:

A. Scale factor

When you dilate an object by a scale factor, you multiply its line lengths by the same number.

If EF/AB = 13/7, the scale factor is 13/7.

B. Length of EF

\begin{array}{rcl}\dfrac{EF}{AB} & = & \dfrac{13}{7}\\\\\dfrac{EF}{\frac{17}{26}} & = & \dfrac{13}{7}\\\\EF & = & \dfrac{13}{7}\times\dfrac{17}{26}\\\\ & = &\dfrac{1}{7}\times\dfrac{17}{2}\\\\ & = & \mathbf{\dfrac{17}{14}}\\\end{array}\\\text{The length of EF is $\large \boxed{\mathbf{ \dfrac{17}{14}}}$}

C. Area of EFGH

If the lengths in a shape are all multiplied by a scale factor, then the areas will be multiplied by the scale factor squared.

ABCD is dilated by a scale factor of 13/7, so its area is dilated by a scale factor of

\left(\dfrac{13}{7} \right)^{2} = \dfrac{169}{49}

The area of its dilated image EFGH is

\text{Area of EFGH} = \text{147 in}^{2} \times \dfrac{\text{169}}{\text{49}} = 3 \times 169\text{ in}^{2} = 507 \text{ in}^{2}\\\\\text{The area of EFGH is $\large \boxed{\textbf{507 in}^{\mathbf{2}}}$}

8 0
3 years ago
Simplify the square root of 96
Tamiku [17]
\sqrt{96} =  \sqrt{16 \times 6} =  \sqrt{16} \times  \sqrt{6} = 4 \sqrt{6}

Hope that helped :)
7 0
3 years ago
What is 275x56 in stander algorithm pls help
leonid [27]
1650
1375
15400
Hope this will be helpful
5 0
3 years ago
Antoine works in a restaurant and he is paid his regular hourly rate of 40 hours a week and time and a half for all hours over 4
Inessa05 [86]
560+ 147= 707

14(40)= 560
14+ 14(1/2)=21
21(7)= 147
6 0
2 years ago
the snake slithered 2.25 m before resting on a rock. Then the snake slithered twice as far as it did before, to catch a rat. Whe
NemiM [27]

Answer:

Step-by-step explanation:

2.25m + 2(2.25m) + 90 cm =

2.25m + 4.50m + 90 cm

6.75m + 90 cm

1 cm = 0.01m...so 90 cm = 90 * 0.01 = 0.9m

6.75m + 0.9m = 7.65m <===

8 0
2 years ago
Read 2 more answers
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