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2 years ago

HELP ASAP PLEASE!!!What is the degree measure of ABC given that A=25 & C=135?

Mathematics

1 answer:

adelina 88 [10]2 years ago

6 0

Answer:

m∠ABC = 110°

Step-by-step explanation:

By the property of exterior angle of a triangle,

"Exterior angle of a triangle is equal to the sum of two opposite interior angles"

m∠BAC + m∠ABC = 135°

25° + m∠ABC = 135°

m∠ABC = 135° - 25°

= 110°

Therefore, measure of angle ABC is 110°.

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If costheta=4/5 then what is sec^2theta

DaniilM [7]

Answer:

$\sec^2(\theta)=\frac{25}{16}$

Step-by-step explanation:

Recall what the relationship between cosine and secant:

$\sec(\theta)=\frac{1}{\cos(\theta)}$

In other words, secant is the reciprocal of cosine.

So, if we know cosine, we only need to find its reciprocal to find secant.

We are given that cosine is:

$\cos(\theta)=\frac{4}{5}$

Then secant must be:

$\sec(\theta)=\frac{5}{4}$

So:

$\sec^2(\theta)=(\frac{5}{4})^2$

Square:

$\sec^2(\theta)=\frac{25}{16}$

And we're done!

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3 years ago

You are preparing a community garden with your youth group to have enough room for the spots for all the people who already sign

Annette [7]

Answer:

92 feet.

Step-by-step explanation:

Given:

The length of the garden needs to be 22 feet longer than the width of the garden.

The perimeter of the fence is a total of 324 feet

Question asked:

What will the length be of garden ?

Solution:

As length of the garden needs to be 22 feet longer than the width,

Let width = $x$

Then, length will be = $x+22$

As here perimeter of the fence is given, we can find length and width of garden by using:

Perimeter of rectangle = $2(length+width)$

$324=2(x+22+x)\\324=2(2x+22)\\324=4x+44\\$

Subtracting both sides by 44

$324-44=4x+44-44\\280=4x\\$

Dividing both sides by 4

$70=x$

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Step-by-step explanation:

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