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worty [1.4K]
2 years ago
14

Answer for D= E= F=

Mathematics
1 answer:
Natali [406]2 years ago
7 0
All three of those angels are 98 degrees. F is supplementary, as the given angle and it must add up to 180. D is parallel to F. E is the same as D.
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The system of equations 2y=14-2x and y=-x+7 is graphed.What is the solution to the system of equations?
Alinara [238K]

Hey there!

When we are given what one of our variables is equal to, we can easily solve the system of equations via substitution, which is where we take the variable value, plug it into the other equation, and solve for the other variable.

In this case, we just take our value for y and plug it in for the value for y in the first equation and solve for x.

2(-x+7)=14-2x

-2x+14=14-2x

-2x=-2x

x=x

As we can see, there are infinitely many soultions to this first equation, which means that there is no possible way to solve for y because x has infinitely many solutions, so there are infinitely many solutions to this system of equations, because they are both the same line.

I hope this helps!

7 0
4 years ago
What the answer for <br> 12(x+3)=4(2x+9)+4x
IceJOKER [234]
12(x+3)=4(2x+9)+4x
12x+36=8x+36+4x
12x+36=12x+36
12x=12x
0=0
true for all x
4 0
3 years ago
Any help on the top question?
katrin [286]

A total of 168 non-commercial vehicles and 60 commercial vehicles use the country's highways during September.

Step-by-step explanation:

Step 1:

Assume the number of non-commercial vehicles to be x and the number of commercial vehicles to be y.

It is given that for every 14 non-commercial vehicles there will be 5 commercial vehicles. So a ratio can be formed as follows;

\frac{x}{14} = \frac{y}{5}, cross multiplying, we get 5 x=14 y, take this as equation 1.

Step 2:

It is also given that there were 108 more non-commercial vehicles than commercial vehicles. So

x=y+108, take this as equation 2.

If we solve equations 1 and 2, we will get the values of x and y.

Step 3;

Substitute equation 2 in equation 1.

5(y+108)=14 y,

5y+540 = 14y,

y = \frac{540}{9} = 60.

Substitute y = 60 in equation 2.

x=60+108 = 168.

So x = 168 and y = 60.

So a total of 168 non-commercial vehicles and 60 commercial vehicles use the country's highways during September.

3 0
3 years ago
4(-8x + 5) - (-33x -26) =
ladessa [460]

Answer:

x = - 46

Step-by-step explanation:

See photo for step by step process. Correct me if I'm wrong. I hope it helps.

7 0
3 years ago
The mathletes needed $932.50 to attend a competition in Boston .the bus cost $550 and meals for the tournament costs $22.50 for
babunello [35]

Answer:

17 students

Step-by-step explanation:

the bus will take all the students so

932.50 - 550 = 382.5

and a meal for each student so

382.5 ÷ 22.5 = 17

6 0
3 years ago
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