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2 years ago

Given that lines a and b are parallel and that m∠2 = 68°, find m∠5

Mathematics

1 answer:

Flura [38]2 years ago

3 0

Answer: 112 degrees

Step-by-step explanation: In this problem, we are trying to find the m<5.

Notice that <2 and <3 are vertical angles which means they are congruent.

So we know that the m<3 is 68 degrees.

Now, notice that <3 and <5 are same side interior angles because

they lie on the same side of the transversal and on interior of lines a and b.

Now, it's important to understand that

same side interior angles are supplementary.

So we can setup the equation 68 + m<5 = 180.

Subtracting 68 from both sides, we have the m<5 = 112.

So the m<5 is 112 degrees.

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Wayne raked 30 bags of leaves in 3 hours.if he raked the same number of bags each hour,how many bags of leaves did he rake in on

MAVERICK [17]

Answer:

10 bags

Step-by-step explanation:

Take the number of bags raked and divide by the number of hours

30bags/ 3 hours

10 bags per hour

In 1 hour we can rake 10 bags

6 0

2 years ago

Equation, find y when x=-3. y = -x + 5 When x = -3, y =

Step2247 [10]

I think y = 8. Since x = -3 then the equation would be y = -1(-3) +5. -1 times -3 equals 3. So now the equation is y = 3 +5. That would give you 8.

7 0

2 years ago

Mrs. Steward needs to save (4.2 X 10^6) dollars for her children's college education. If she can save (1.4 X 10^2) each month, h

qwelly [4]

Answer: 30,000 months or 2,500 years

She'd better start saving more haha.

Step-by-step explanation:

$Goal=4.2x10^6\\Savings/month=1.4x10^2$

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3 0

2 years ago

Round to the nearest hundreds place Show your work 4x = 7 - 8x - 27

faltersainse [42]

Answer:

x = 5

Step-by-step explanation:

4x = 7 - 8x - 27

1) Combine like terms (7 and -27). So, 7 + (-27) = -20.

4x = 8x - 20

2) Subtract 8x from both sides of the equation. So, 4x - 8x = -4x.

-4x = -20

3) Divide both sides by -4. So, -20 / -4 = 5.

x = 5

5 0

2 years ago

Could some please help and explain?

Sophie [7]

Answer:

x = 7

Step-by-step explanation:

A rhombus is a parallelogram where all sides are equal. Therefore, as we know two sides are equal to 7x+8 and 9x-6, we can say that

7x+8 = 9x - 6

subtract 7x from both sides to put the variable on one side

2x - 6 = 8

add 6 to both sides to isolate the variable and its coefficient

2x = 14

divide both sides by 2 to isolate x

x = 7

7 0

1 year ago