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Debora [2.8K]
2 years ago
15

Find the value of x for which allb A. 35 B. 145 C. 140 D. 47

Mathematics
1 answer:
Paha777 [63]2 years ago
7 0

Answer:

A. 35

Step-by-step explanation:

a || b .....(given)

line c is their transversal.

-> x° + (3x + 40)° = 180° (Interior angles on the same side of transversal)

-> (3x + 40 + x)° = 180°

-> (4x + 40)° = 180°

-> 4x + 40 = 180

-> 4x = 180 - 40

-> 4x = 140

-> x = 140/4

-> x = 35

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Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If
AVprozaik [17]

Answer:

It has one solution (1,0)

Step-by-step explanation:

y = -2x + 2

y = 4x -4

Substitute the y's

4x - 4 = -2x + 2

Let's move the variables to one side

4x - 4 = -2x + 2

+2x       +2x

6x - 4 = 2

Lets move the constant to the other side

6x - 4 = 2

     +4   +4

6x = 6

Divide both sides by 6

6x/6 = 6/6

x = 1

Let go back to y = -2x + 2

Substitute the x with 1

y = -2(1) + 2

y = -2 + 2

y = 0

6 0
3 years ago
8
Sedbober [7]

Answer:

15 people voted yes and 3 people voted no.

Step-by-step explanation:

Given that:

Ratio of yes to no = 5 : 1

Total number of board members who voted = 18

Let,

x be the number of times.

5x+x = 18

6x = 18

Dividing both sides by 6

\frac{6x}{6}=\frac{18}{6}\\x=3

People who voted yes = 5(3) = 15

People who voted no = 3

Hence,

15 people voted yes and 3 people voted no.

6 0
3 years ago
One side of a regular pentagon measures 0.8 M what is the perimeter of the regular pentagon
sergejj [24]

Answer:

4m

Step-by-step explanation:

0.8x5=4

7 0
3 years ago
On Friday 80% of the costumers who bought tickets at a movie theater also bought popcorn. There were 320 costumers who bought ti
Nimfa-mama [501]

Answer:

256

Step-by-step explanation:

I judt know I don't know hoet to explain sorry hope it helps

8 0
2 years ago
Read 2 more answers
a meteorologist measures the angle of elevation of a weather balloon with the ground as 41. A radio signal from the balloon indi
Aneli [31]
Here you would use right triangle trig (SOH CAH TOA)
So first draw a right triangle. Imagine youre standing at the angle opposite the right angle which is the one on the ground.This angle is the 41°. Now Imagine the balloon is as the angle above the right triangle. Well since the balloon is 1503 m from his location this would be the hypotenuse. SInce we are trying to find the height (x) we would use sine since
sine = opposite/hypotenuse . Now lets solve make sure calculator is in degree mode:

sin41 = x/1503      multiply both sides by 1503 to cancel it out
1503sin41 = x        plug into calculator
x = 986.057 ft
The balloon is 986.057 feet above the ground.


6 0
3 years ago
Read 2 more answers
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