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Alenkasestr [34]
4 years ago
11

NEED HELP FAST! --100 points-- (if accurate) What is the value of x?

Mathematics
1 answer:
valina [46]4 years ago
3 0

Answer:

x=54

Step-by-step explanation:

The two angles are vertical angles which means they are equal

2x+2 = 3x-52

Subtract 2x from each side

2x+2 -2x = 3x-52-2x

2 = x-52

Add 52 to each side

2+52= x-52+52

54 = x

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5 0
3 years ago
Find the dimensions of a rectangle, length 7m less than three times the width and the area of the rectangle is 66m^2.
zhuklara [117]

  We know: length of a rectangle is 7m less than three times the width.

So let's set the length to l, width to w.

And we can get that l = 3w-7.

We also know that the area of the rectangle is 66 m^2.

Thus, l*w= 66.

So we have:

function 1: l=3w-7

function 2: l*w=66

plug function 1 to 2.

(3w-7)*w=66

3w^2-7w-66=0

w=6 and -11/3.

And the width of a rectangle can not be negative.

So: w=6.

Plug w=6 back to function 1 or 2, either way is correct and can give you the length. In this case, I will plug it back to function 1.

l=3*6-7=11.

So: the width of the rectangle is 6, and the length of the rectangle is 11.


5 0
4 years ago
At Smith's Sporting Goods,3 out of every 10 customers make a purchase. Write a ratio to compare the number of customers who make
sergejj [24]

Answer:

30

Step-by-step explanation:

because 3×10 is 30 and so 3 out of 10 is 30

7 0
4 years ago
HELPP!! Part A: A cross section of the prism is cut with a plane parallel to the base. What is the name of the shape created by
vesna_86 [32]
A cross section is the shape you get when you cut straight through an object Like a prism so
you will get a triangle example:
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5 0
4 years ago
Given the table below, determine if the data represents a linear or an exponential function and find a possible formula for the
I am Lyosha [343]

Answer:

Option b is correct.

Linear function ;

y =2x

Step-by-step explanation:

The formula y=f(x)=mx +c  ......[1]  is said to be a linear function. That means the graph of this function will be a straight line on the (x, y) plane, where m represents slope and b is the y-intercepts.

Consider any points from the table;

(1, 2) and (2, 4)

substitute these point in [1] we get;

for (1, 2)

⇒x = 1 and f(x) = 2 we have

2 = m + c      

or

c = 2- m                       ......[1]

for (2, 4) we have;

4 = 2m + c                       .....[2]

Now, substitute equation [1] into [2] we get;

4 = 2m + 2 -m

Combine like terms;

4 = m + 2

Subtract 2 from both sides we get;

4 -2 = m +2 -2

Simplify:

2 = m or

m = 2

Substitute the value of m = 2 in [1] to solve for c;

c = 2 -2 = 0

c =0

⇒ y = 2x +0

y = 2x

therefore, the data in the table represents the Linear function and a possible formula for the linear function is; y = 2x




8 0
3 years ago
Read 2 more answers
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