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iren [92.7K]
3 years ago
11

Solve for x in the diagram below

Mathematics
2 answers:
bearhunter [10]3 years ago
6 0

Answer:

x = 15

Step-by-step explanation:

4x is the vertical angle to the sum of 45 and 15  so they are equal

4x = (45+15)

4x = 60

Divide each side by 4

4x/4 = 60/4

x = 15

vitfil [10]3 years ago
5 0

Answer:

x = 15

Step-by-step explanation:

4x is congruent to 45 + 15

4x = 45 + 15

simplify 4x = 60

divide both sides by 4   x = 15

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This recipe makes 16 portions of potato soup.
jok3333 [9.3K]

Answer:

24 oil

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Step-by-step explanation: He wants to make 4 portions, 4 is one fourth of 16. Therefore if you multiply all the ingredients by one fourth you will get the amounts required for the new recipe.

8 0
3 years ago
Which expression is a perfect cube?<br> -8x^21y^8<br> -64x^64y^64<br> -125x^9y^20<br> -216x^9y^18
inysia [295]

Answer:

-216x^9y^{18}

Step-by-step explanation:

~~-216 x^9 y^{18}\\\\=(-6)^3 (x^3)^3 (y^6)^3\\\\=(-6x^3 y^6)^3

4 0
2 years ago
Anthony wants to find the value of k for which given points W(0,-2), I(2,0) and L(5,k) are collinear
Bogdan [553]

Given:

The three points are W(0,-2), I(2,0) and L(5,k).

To find:

The value of k for which the given points are collinear.

Solution:

We know that, three points are collinear if the area of the triangle formed by these three points is 0.

\dfrac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|=0

x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)=0

The three points are W(0,-2), I(2,0) and L(5,k). So,

0(0-k)+2(k-(-2))+5(-2-0)=0

0+2(k+2)+5(-2)=0

2k+4-10=0

2k-6=0

Adding 6 on both sides, we get

2k=6

k=\dfrac{6}{2}

k=3

Therefore, the correct option is E.

5 0
3 years ago
Solve the system of equations.<br> 2y – 3x = -27<br> 5y + 3x = 6<br><br><br> What is y?
Volgvan

Answer:

Look the picture

Have a nice day

can I be brainliest

4 0
3 years ago
Read 2 more answers
The Lopez family is traveling.The trip will take 8 1/4 hours by train or 6 2/3 hours by car.How many hours shorter is the trip b
aleksklad [387]
I think it is 1 and 7/12
3 0
4 years ago
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