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anzhelika [568]
2 years ago
14

For what value of x is line m parallel to line n?

Mathematics
1 answer:
kogti [31]2 years ago
3 0

Answer:

x=10

Step-by-step explanation:

Here, we can use an angle rule.

We see that angles (8x+50)° and 130° are under a sort of F shape, where lines m and n are the horizontal parts of the letter and where the diagonal line is the vertical part of the letter.


This means we can use the rule:

Corresponding angles are equal.

This means that:

8x + 50 = 130

We can now use this equation we have formed to solve for x:

8x + 50 = 130\\8x = 80\\x = 10

Therefore, our final answer is x=10.

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Fed [463]

Answer:

19.

21 sometimes though.

5 0
2 years ago
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Regina bought 10 pounds of fruit salad for a family party. The fruit salad contained 3 ½ pounds of oranges, 4 ¾ pounds of peache
Roman55 [17]

Answer:

1.75 or 1 3/4 pounds

Step-by-step explanation:

Add the peaches and Oranged weights together to get 8.25 then 10-8.25=1.75

7 0
3 years ago
If (x, y) = (3, 4) is a solution of the simultaneous equations.
Vinvika [58]
The first thing you want to do is plug in x and y into both equations:

a(3) + b(4) = 4

b(3) + a(4) = 8

rearrange to line up a’s and b’s

3a + 4b = 4

4a + 3b = 8

now you want to choose a or b and multiply each equation by a number to make them have the same amount of a’s or b’s.

4(3a + 4b = 4) = 12a + 16b = 16

3(4a + 3b = 8) = 12a + 9b = 24


Now we subtract the bottom equation from the top and solve for b:

12a + 16b - (12a + 9b) = 16 - 24

7b = -8

b = -8/7


Now we plug back in for b to one of the original equations:

3a + 4(-8/7) = 4

3a + (-32/7) = 4

3a - (32/7) = 4

3a = 4 + (32/7)

3a = (28/7) + (32/7)

3a = 60/7

a = (60/7)/3 = 20/7.


Finally, plug a and b in together to double check using the second equation.

4a + 3b = 8

4(20/7) + 3(-8/7) = ?

(80/7) - (24/7) = ?

56/7 = 8.
4 0
3 years ago
Write an equation of the line that has a slope of 5 and goes through the point (3,3)
professor190 [17]

Answer:

y=5x-12

Step-by-step explanation:

The general equation of a line is <em>y=mx+b</em>.

The equation you currently have is <em>y=5x+b</em>.

Plug in the point (3,3) which will get you <em>3=5(3)+b</em>.

Solve the equation by solving what the y-intercept (b) is to create the new final equation.

3=5(3)+b

3=15+b

b=3-15

b=-12

y=5x-12

8 0
3 years ago
ABDC is an isosceles trapezoid. Given only the choices below, which properties would you use to prove ACD ≅ BDC by SSS?
JulsSmile [24]
If the choices are the following:
The legs are congruent.
The base angles are congruent.
The bases are | |.
<span>The diagonals are congruent.
Then , to prove </span>ACD ≅ BDC by SSS I would use The base angles are congruent. 
<span>This is sufficient to prove the triangles are congruent.</span>
8 0
3 years ago
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