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Grace [21]
3 years ago
6

Parallel lines are cut by a transversal such that the alternate interior angles have measures of 3x + 17 and x + 53 degrees. The

value of x is
9
18
35
71
Mathematics
2 answers:
Elena L [17]3 years ago
8 0
Well the sum of the alternate interior angles of a transversal cutting parallel lines should be equal to 180'. 
So (3x+17)=(x+53)
3x+17=x+53
Using transposition method-

3x-x=53-17
2x=36
x=36/2
x=18
Hopw i helped!

irakobra [83]3 years ago
7 0
When parallel lines are cut by a transversal, the alternate interior angles are equal.

<span>3x + 17 = x + 53</span>

Subtract 'x' from each side:

2x + 17 = 53

Subtract 17 from each side:

2x = 36

Divide each side by 2 :

<u>x = 18</u>

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Kitty [74]

Answer:

He can make 3 batches of soup.

Step-by-step explanation:

Starting with 10 pounds of tomatoes and taking out the number of pounds he sets aside for spaghetti sauce, 2.8, we have:

10-2.8 = 7.2 pounds left.

0.2 is read as "two tenths," so 7.2 = 7 2/10

We divide this remaining number of pounds by 2 2/5 for each batch of soup:

7 2/10 ÷ 2 2/5

Convert each to an improper fraction:

72/10 ÷ 12/5

Multiply by the reciprocal:

72/10 × 5/12 = 360/120 = 3

7 0
3 years ago
Read 2 more answers
Solve the system of equations 4x+5y=-1 and -5x-8y=10 by combining the equations.
Flura [38]

The solutions to the given system of equations are x = 6 and y = -5

<h3>Simultaneous linear equations</h3>

From the question, we are to solve the given system of equations

The given system of equation is

4x+5y=-1

-5x-8y=10

Multiply the <u>first equation</u> by 5 and the <u>second equation</u> by 4

5× (4x+5y=-1)

4× (-5x-8y=10)

20x + 25y = -5

-20x - 32y = 40

------------------------

0x + (-7y) = 35

-7y = 35

y = 35/-7

y = -5

Substitute the value of y into the first equation to find x

4x + 5y = -1

4x + 5(-5) = -1

4x -25 = -1

4x = -1 +25

4x = 24

x = 24/4

x = 6

Hence, the solutions to the given system of equations are x = 6 and y = -5

Learn more on Simultaneous linear equation here: brainly.com/question/12647791

#SPJ1

3 0
1 year ago
Help
jenyasd209 [6]

Step-by-step explanation:

1) when x= 1/5

y = 1/5 + 1/2

y = 7/10

2) when x= 1/4

y = 1/4 + 1/2

y= 3/4

3) when x= 1/3

y = 1/3 + 1/2

y = 5 /6

3 0
3 years ago
The sum of 22 and a number is 41
Mariulka [41]

Answer:

19

Step-by-step explanation:

sum means answer to an addition problem, so 41 - 22 = 19, so 22 + 19 = 41

6 0
2 years ago
I need help with 10 math questions I will say it in chat​
Harrizon [31]

if I'm just good at math I might be able to help you

4 0
2 years ago
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