Mathematics, 19.06.2020 02:57 caz27

AABC is isosceles.
mZA = 3x + 40 and mZC = x + 50 mZA = [ ? ]°

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Answer from: jonestheproblem5029

Using the information from the problem, the measurement of ∠A is 55°

Step-by-step explanation:

We are given that ΔABC is isosceles. If a triangle is isosceles, then it means that two angles are going to be congruent to each other which are called the base angles. In the problem above, ∠A and ∠C are the base angles so that means that their measurements are going to be equal to each other.

We can use this information in order to solve the problem and find the measurement of ∠A. By doing so, we will set up both expressions and equal them to each other.

m∠A = 3x + 40

m∠C = x + 50

3x + 40 = x + 50

Subtract x on both sides of the equation.

2x + 40 = 50

Subtract 40 from both sides of the equation.

2x = 10

Divide 2 on both sides of the equation.

x = 5

So now that we have our x-value, we will plug this into both angles just to check our work. If they have the same measurement, then we have our answer for the measurement of ∠A.

x = 5

m∠A = 3(5) + 40

m∠A = 15 + 40

m∠A = 55

m∠C = (5) + 50

m∠C = 55

So, the two angles have the same measurements to each other which means they are congruent. Now, we have our answer.

The measurement of ∠A is 55°

Answer from: Quest

c. 4 and 1/2 pounds is the answer! : )

Answer from: Quest

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200. after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes 1800 - 6400 which gets you 11,600.

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AABC is isosceles.
mZA = 3x + 40 and mZC = x + 50 mZA = [ ? ]°...

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