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marysya [2.9K]
3 years ago
14

PLEASE ANSWER ASAP

Mathematics
1 answer:
vovikov84 [41]3 years ago
8 0

Answer:

15 years

Step-by-step explanation:

subtract 30000 from 36000 to get 6000, then subtract 2000 from 2400, you get 400, then divide 6000 by 400

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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
What is the greatest common factor of 39 and 6
yanalaym [24]

Answer:

the greatest common factor is 3

5 0
3 years ago
Read 2 more answers
Adiya said that the first step to solving the quadratic equation x2 + 6 = 20x by completing the square was to divide 6 by 2, squ
Anit [1.1K]
No, actually the method is not correct. Adiya needed to take x2 and subtract it from 20x. she would then get 6 = 18x. Have in mind also that she needed to divide 18. So 6 = 18x turns into 6=X. That is why is incorrect
7 0
3 years ago
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En salón de clases hay 30 alumnos; el 40% son hombres y el 60% son mujeres ¿Cuántos hombres y mujeres hay en el salón de clases?
vodomira [7]

There are 30 students in the classroom; 40% are men and 60% are women. How many men and women are in the classroom?

40/100 = 2/5   60/100 = 3/5   30 ÷ 5 = 6   3 × 6 = 18 so 18 are women 2 × 6 = 12

so there are 12 men.

4 0
3 years ago
Please help!!! i need an answer on this
oksian1 [2.3K]

Answer:

15/30

Step-by-step explanation:

To get from 10 to 30 you have to muliply by 3.

So you do that to the 5 too.

5 * 3 = 15

8 0
3 years ago
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