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3 years ago

Find the angles of a parallelogram in which an exterior angle is one-third that its interior angle.

Mathematics

1 answer:

iogann1982 [59]3 years ago

3 0

Answer:

The angles of a parallelogram are 135°-45°-135°-45°

Step-by-step explanation:

we know that

In a parallelogram opposites angles are congruent and consecutive angles are supplementary

Remember that

The sum of a exterior angle and its interior angle is equal to 180 degrees

Let

x ----> the measure of one interior angle of parallelogram

y ----> the measure of the other interior angle of parallelogram

we have that

$x+\frac{x}{3}=180^o$

solve for x

$\frac{4}{3}x=180^o\\\\x=(180^o)3/4\\\\x=135^o$

<em>Find the measure of the other interior angle of parallelogram</em>

Remember that consecutive interior angles are supplementary

$x+y=180^o$

substitute the value of x

$135^o+y=180^o$

solve for y

$y=45^o$

therefore

The angles of a parallelogram are 135°-45°-135°-45°

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Step-by-step explanation:

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There are 90 different identification numbers possible.

<h3>What are the permutation and combination?</h3>

In terms of mathematical concepts, “permutation” and “combination” are related to each other.

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2 years ago

The comprehensive strength of concrete is normally distributed with μ = 2500 psi and σ = 50 psi. Find the probability that a ran

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Answer:

The probability that the diameter falls in the interval from 2499 psi to 2510 psi is 0.00798.

Step-by-step explanation:

Let's define the random variable, $X =$ "Comprehensive strength of concrete". We have information that $X$ is normally distributed with a mean of 2500 psi and a standard deviation of 50 psi (or a variance of 2500 psi). In other words, $X \sim N(2500, 2500)$ .

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Now we can find the probability as follows:

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Where $Z \sim N(0,1)$ , then:

$P(-0.002 \leq Z \leq 0.02 ) \approx P(0 \leq Z \leq 0.02 ) = P(Z \leq 0.02 ) - P(Z \leq 0) \\P(0 \leq Z \leq 0.02 ) = 0.50798 - 0.5 = 0.00798$

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3 years ago

Find the angles of a parallelogram in which an exterior angle is one-third that its interior angle.​

Find the angles of a parallelogram in which an exterior angle is one-third that its interior angle.