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4 years ago

PLEASE HELP SOLVE THIS!!!!!!!!!!!

Mathematics

1 answer:

Sphinxa [80]4 years ago

4 0

9514 1404 393

Answer:

a) yes; 12/15/17 ~ 20/25/x; SAS

b) x = 28 1/3

Step-by-step explanation:

The left-side segments are in the ratio ...

top : bottom = 12 : 8 = 3 : 2

The right side segments are in the ratio ...

top : bottom = 15 : 10 = 3 : 2

These are the same ratio, and the angle at the peak is the same in both triangles, so the triangles are similar by the SAS postulate.

Normally, a similarity statement would identify the triangles by the labels on their vertices. Here, there are no such labels, so we choose to write the statement in terms of the side lengths, shortest to longest:

12/15/17 ~ 20/25/x

The sides of similar triangles are proportional, so the ratio of longest to shortest sides will be the same in the two triangles. In the smaller triangle, the longest side is 17/12 times the length of the shortest side. The value of x will be 17/12 times the length of the shortest side in the larger triangle:

x = 17/12 · 20 = 340/12

x = 28 1/3

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Answer:

2.86 hours = £26.57

Step-by-step explanation:

5 builders = 3.5 hours

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3 years ago

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Anuta_ua [19.1K]

Answers:

1) $x^{8} y^{8}$

2) $y^{3} \sqrt{y}$

3) $5x^{4} \sqrt{6}$

4) $\sqrt{7}$

5) $\frac{\sqrt{z}}{z}$

Step-by-step explanation:

1) $\sqrt{x^{16} y^{36}}$

Rewriting the expression:

$(x^{16} y^{36})^{\frac{1}{2}}$

Multiplying the exponents:

$x^{\frac{16}{2}} y^{\frac{36}{2}}$

Simplifying:

$x^{8} y^{8}$

2) $\sqrt{y^{7}}$

Rewriting the expression:

$\sqrt{y^{6} y}=(y^{6} y)^{\frac{1}{2}}$

Multiplying the exponents:

$y^{\frac{6}{2}} y^{\frac{1}{2}}$

Simplifying:

$y^{3} y^{\frac{1}{2}}=y^{3} \sqrt{y}$

3) $\sqrt{150 x^{8}}$

Rewriting the expression:

$\sqrt{(6)(25) x^{8}}$

Since $\sqrt{25}=5$ :

$5x^{4}\sqrt{6}$

4) $\frac{7}{\sqrt{7}}$

Multiplying numerator and denominator by $\sqrt{7}$ :

$\frac{7}{\sqrt{7}} (\frac{\sqrt{7}}{\sqrt{7}})=\frac{7}{7\sqrt{7}}$

Simplifying:

$\sqrt{7}$

5) $\frac{5z}{\sqrt{25 z^{3}}}$

Rewriting the expression:

$\frac{5z}{5z \sqrt{z}}$

Simplifying:

$\frac{1}{\sqrt{z}}$

Since we do not want the square root in the denominator, we can multiply numerator and denominator by $\sqrt{z}$ :

$\frac{1}{\sqrt{z}}(\frac{\sqrt{z}}{\sqrt{z}})$

Finally:

$\frac{\sqrt{z}}{z}$

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4 years ago

PLs hElP gIvInG DUE TODAY 23 points

taurus [48]

Answer:

Answer down below!

Step-by-step explanation:

1) 10

2) 4

3) 6

----------------

1 ) we know that perimeter = all the sides combined.

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(44 is the given perim.; so therefore if 12x2+10x2=44, 20 is the missing width.

2 ) we know that area = lw.

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44 is the given area, so therefore if 10x4=40, 4 is the base.

3 ) we know that area = lw.

we need to find the area of the square. 3 x 2 = 6. 6 is the area of the missing square or the part that needs to be covered.

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