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3 years ago

11

How do you solve this? Please help!

2 answers:

diamong [38]3 years ago

8 0

Answer:

b

Step-by-step explanation:

u can use the ration method

15:15+36

20:6x-7

then cross multiply

and x =12.5

liubo4ka [24]3 years ago

5 0

Answer:

x = 12.5

Step-by-step explanation:

The large outer triangle and the small inner triangle are similar, thus the ratio of their corresponding sides are equal, that is

$\frac{20}{6x-7}$ = $\frac{15}{15+36}$ = $\frac{15}{51}$ ( cross- multiply )

15(6x - 7) = 1020 ( divide both sides by 15 )

6x - 7 = 68 ( add 7 to both sides )

6x = 75 ( divide both sides by 6 )

x = 12.5

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2x-5y+5z=-10<br> 5x-4y+3z=-19<br> X-y+5z=17

yarga [219]

Answer:

x = -125/71 , y = 448/71 , z = 356/71

Step-by-step explanation:

Solve the following system:

{2 x - 5 y + 5 z = -10 | (equation 1)

5 x - 4 y + 3 z = -19 | (equation 2)

x - y + 5 z = 17 | (equation 3)

Swap equation 1 with equation 2:

{5 x - 4 y + 3 z = -19 | (equation 1)

2 x - 5 y + 5 z = -10 | (equation 2)

x - y + 5 z = 17 | (equation 3)

Subtract 2/5 × (equation 1) from equation 2:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - (17 y)/5 + (19 z)/5 = (-12)/5 | (equation 2)

x - y + 5 z = 17 | (equation 3)

Multiply equation 2 by 5:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

x - y + 5 z = 17 | (equation 3)

Subtract 1/5 × (equation 1) from equation 3:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

0 x - y/5 + (22 z)/5 = 104/5 | (equation 3)

Multiply equation 3 by 5:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

0 x - y + 22 z = 104 | (equation 3)

Subtract 1/17 × (equation 2) from equation 3:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

0 x+0 y+(355 z)/17 = 1780/17 | (equation 3)

Multiply equation 3 by 17/5:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

0 x+0 y+71 z = 356 | (equation 3)

Divide equation 3 by 71:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Subtract 19 × (equation 3) from equation 2:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y+0 z = (-7616)/71 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Divide equation 2 by -17:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x+y+0 z = 448/71 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Add 4 × (equation 2) to equation 1:

{5 x + 0 y+3 z = 443/71 | (equation 1)

0 x+y+0 z = 448/71 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Subtract 3 × (equation 3) from equation 1:

{5 x+0 y+0 z = (-625)/71 | (equation 1)

0 x+y+0 z = 448/71 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Divide equation 1 by 5:

{x+0 y+0 z = (-125)/71 | (equation 1)

0 x+y+0 z = 448/71 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Collect results:

Answer: {x = -125/71 , y = 448/71 , z = 356/71

5 0

3 years ago

Find the Slope of a line that travels through (3, 7) and (6, 19)

TiliK225 [7]

Answer:

1/4

Step-by-step explanation:

6-3/19-7 =3/12 =1/4

4 0

3 years ago

Please help meeee I don't know this

Vanyuwa [196]

Answer:

$\boxed {m = -\frac{5}{7}}$

Step-by-step explanation:

Use the <u>Slope Formula</u> to determine the slope of two given points:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

First Point: $(x_{1} , y_{1})$

Second Point: $(x_{2}, y_{2})$

-Substitute both points:

First Point: $(5, 11)$

Second Point: $(19, -1)$

$m = \frac{-1 - 11}{19 - 5}$

-Solve for the slope:

$m = \frac{-1 - 11}{19 - 5}$

$m = \frac{-10}{14}$

$\boxed {m = -\frac{5}{7}}$

Therefore, the slope is $-\frac{5}{7}$

4 0

3 years ago

Rational numbers are _____ natural numbers.<br> A. Always<br> B. Sometimes<br> C. Never

ratelena [41]

I think it is
A. Always

8 0

3 years ago

Six students earned a perfect score on a history quiz. Only 5% of the entire grade earned a perfect score. How many students are

stiks02 [169]

Answer:

120

Step-by-step explanation:

If 6 = 5%, then 6 = 1/20 of the total grade. 6×20= 120

5 0

3 years ago