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velikii [3]
3 years ago
9

What is the value of x between the two triangles? *no bots or else you will be reported*

Mathematics
1 answer:
lord [1]3 years ago
4 0

Answer:

x = 25

Step-by-step explanation:

First we need to show that these two triangles are similar.  Add up the angles 68 and 38 degrees in the first triangle, and then subtract this sum from 180 degrees.  This results in 74 degrees, which matches 74 degrees in the second triangle.

Next we write and solve an equation of ratios:

 6        10

----- = -------

15         x

Cross multiplying returns 6x = 150, so that x = 25.

Note that 6/15 is the ratio of the shortest sides, and 10/x is the ratio of the longest sides.

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How do you solve 4(3-6n)-4n=-156
ludmilkaskok [199]

Answer:

n = 6

Step-by-step explanation:

4(3-6n)-4n=-156   (by PEDMAS, solve parentheses first)

(4)(3) - (4)(6n) - 4n = - 156

12 - 24n - 4n = -156

12 - 28n = -156   (subtract 12 from both sides)

-28n = -156 - 12

-28n = -168  (divide both sides by -28)

n = -168 / (-28)

n = 6

6 0
4 years ago
Read 2 more answers
Need help with this<br>please​
artcher [175]

Answer:

x^{\frac{2}{3} }

Step-by-step explanation:

Exponent Rules: (b^m)^n = b^{mn}

Exponent Rules: \frac{x^m}{x^n} = x^{m-n}

Step 1: Write expression

\frac{\sqrt[4]{x^3} }{x^{\frac{1}{12} }}

Step 2: Rewrite radical

\frac{{(x^3)^{\frac{1}{4} }} }{x^{\frac{1}{12} }}

Step 3: Multiply powers (numerator)

\frac{{x^{\frac{3}{4} }} }{x^{\frac{1}{12} }}

Step 4: Subtract powers

x^{\frac{2}{3} }

8 0
4 years ago
Please solve all questions
fredd [130]

Answer:

1)x=-6,y=1 2)a=0,b=-8 3)j=8,k=1 4)m=3,n=-6

Step-by-step explanation:

1)x-4y=-10,2x+y=-11

x-4y=-10

x=4y-10

2\left(4y-10\right)+y=-11

8y-20+y=-11

9y-20=-11

9y=9

y=1

x=4-10

x=-6

x=-6,y=1

2)a-3b=24,a+2b=-16

a-3b=24

a=3b+24

3b+24+2b=-16

5b+24=-16

5b=-40

b=-8

a=3\left(-8\right)+24

a=-24+24

a=0

a=0,b=-8

3)k-j=-7

4j-5k=27,-j+k=-7

4j-5k=27

4j=5k+27

j=\frac{1}{4}\left(5k+27\right)

j=\frac{5}{4}k+\frac{27}{4}

-\left(\frac{5}{4}k+\frac{27}{4}\right)+k=-7

-\frac{1}{4}k-\frac{27}{4}=-7

-\frac{1}{4}k=-\frac{1}{4}

k=1

j=\frac{5+27}{4}

j=8

j=8,k=1

4)m+n=-3,m-4n=27

m+n=-3

m=-n-3

-n-3-4n=27

-5n=30

n=-6

m=-\left(-6\right)-3

m=6-3

m=3

m=3,n=-6

3 0
3 years ago
X=3y-4<br> 2x-y=7<br> use substitution method. pls explain :)
Nesterboy [21]

Answer:

the sustitucion metod is easy x=5  y=3

Step-by-step explanation:

x-3y=-4 (-2)

2x-y=7 (1)

-2x+6y=8

2x-y=7

5y=15

y=3

2x-3=7

2x=10

x=5

4 0
3 years ago
Read 2 more answers
Thank you for this :)​
iragen [17]
Blue = 6x3 = 18
Purple = 4 + (5 x 2) = 14
Orange = 2(2 x 3) = 12
Bottom = 6 x 3 = 18
Back = 4 x 3 = 12
Opposite purple = purple = 14

18 + 14 + 12 + 18 + 12 + 14 = 88

Answer = 88 cm squared
5 0
2 years ago
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