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4 years ago

I’m confused on this one

Mathematics

1 answer:

Mekhanik [1.2K]4 years ago

6 0

In this parallelogram, angle A and B add up to 180 (they are supplementary). Set up an equation like this and solve:

3x + 4 + 143 = 180

3x + 147 = 180

3x = 33

x = 11

The measure of x is 11°.

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3 years ago

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Step-by-step explanation:

Given : $2(3x+1)^5=8$

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$2(3x+1)^5=8$

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Taking natural log both sides

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3 years ago

Find the length of the third side. If necessary, round to the nearest tenth. 5 10

snow_lady [41]

Answer:

$\boxed {\boxed {\sf 8.7}}$

Step-by-step explanation:

We are asked to find the length of the third side in a triangle, given the other 2 sides.

Since this is a right triangle (note the small square in the corner of the triangle representing a 90 degree /right angle), we can use the Pythagorean Theorem.

$a^2 + b^2 =c^2$

In this theorem, a and b are the legs of the triangle and c is the hypotenuse.

We know that the unknown side (we can say it is a) and the side measuring 5 are the legs because they form the right angle. The side measuring 10 is the hypotenuse because it is opposite the right angle.

b= 5
c= 10

Substitute the values into the formula.

$a^2 + (5)^2 = (10)^2$

Solve the exponents.

(5)²= 5*5 = 25
(10)²= 10*10= 100

$a^2 + 25=100$

We are solving for a, so we must isolate the variable. 25 is being added to a. The inverse operation of addition is subtraction, so we subtract 25 from both sides.

$a^2 +25-25=100-25$