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AlekseyPX
2 years ago
11

In the parallelogram ABCD, M angle A =2x +50 and m angle C= 3x + 40. The measure of ZA is

Mathematics
1 answer:
ipn [44]2 years ago
5 0

Answer:

∠A = 70°

Step-by-step explanation:

I'm... guessing this is what you mean? It would've been helpful if you'd provided pictures.

Since all parallelograms consist of two pairs of vertically opposite angles, ∠A and ∠C are equivalent.

Which means that 2x + 50 = 3x + 40.

In which you solve the equation.

2x + 50 = 3x + 40

-2x           -2x

50 = x + 40

-40  -40

x = 10

Now, to find ∠A, substitute x into the equation:

∠A = 2x + 50

x = 10

∠A = 20 + 50

∠A = 70

Hence, ∠A = 70°

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Eric was rock climbing. At one point, he stopped and climbed straight down 2\dfrac{1}{2}2
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We know that in mathematics, subtraction means removing something from a group or a number of things. What is left in the group gets smaller when we subtract. The minuend is the first element we use. The subtrahend is the part that is being removed. The difference is the portion that remains after subtraction.

Assume that "negative" means climbing down and "positive" means climbing up. We must locate the elevation change in this area.

Given that Eric climbed straight down 2\frac{1}{2} meters. So we can write -2\frac{1}{2}.

Again Eric climbed straight up 6\frac{3}{4} meters. So, we can write 6\frac{3}{4}.

Then the change = -2\frac{1}{2}+6\frac{3}{4}

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Therefore, the equation that matches the given situation is -2\frac{1}{2}+6\frac{3}{4}=? . So, after two moves, Eric's elevation changed 4\frac{1}{4} meters above.

Learn more about subtraction here -

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