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Kisachek [45]
3 years ago
15

What is the value of x given the following image ?

Mathematics
2 answers:
USPshnik [31]3 years ago
5 0
What this guy said ok ok
svet-max [94.6K]3 years ago
5 0

Answer:

x=13

Step-by-step explanation:

the angles shown are vertical angles so they are going to have the same value so to find x we setup an equation and the equation would be

-3x+14=-x-12 and the we solve for x

step 1 add 3x to each side

14=2x-12

step 2 add 12 to each side

26=2x

step 3 divide each side by 2

x=13

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In the equation 9^2 x 27^3 = 3^x, what is the value of x? <br> Show your work on scratchpaper
IceJOKER [234]

Answer:

x=13

Step-by-step explanation:

9^2 * 27^3 = 3^x

We need to get each term with a base of 3

9^2 = (3^2) ^2

We know that a^b^c = a^(b*c)

(3^2) ^2 = 3^(2+2) = 3^4

27^3 = (3^3) ^3 = 3^(3*3) = 3^9

Replacing these in the original equation

3^4 * 3^9 = 3^x

We know that a^b *a^c = a^(b+c)

3^4 * 3^9  =3^(4+9) = 3^13 = 3^x

The bases are the same, so the exponents must be the same

x=13

7 0
3 years ago
Jennifer is ordering cake for her wedding reception. If one cake feed 18 people, how many cakes does she need to order for 150 p
ehidna [41]

Answer:

8 1/3 cakes

Step-by-step explanation:

Step 1:

1 : 18        Ratio

Step 2:

1 : 18 = x : 150       Proportion

Step 3:

150 = 18x       Multiply

Step 4:

150 ÷ 18 = x     Divide

Answer:

x = 8 1/3  

Hope This Helps :)

8 0
3 years ago
Which set of shapes could be used to form a net for a square pyramid?
bulgar [2K]

Answer:

A.1 square and 4 triangles

Step-by-step explanation:

A pyramid has sides that are triangular faces and a base. In a square pyramid, the base is a square.

The net therefore has 1 Square and 4 Triangles.

A net is given in the attached diagram:

8 0
3 years ago
Of the 1000 students in a local college ,
dimaraw [331]
Can you please explain? Or maybe continue your question please?
5 0
3 years ago
Write an equation for the line that passes through (2,10),(0,4)
Y_Kistochka [10]
I'm going to go right ahead and assume that we're talking about a linear equation.

The linear equation passing through the points given is y=3x+4, since it satisfies both of the points given.  
8 0
3 years ago
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