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elena-s [515]
1 year ago
10

Given that lines m and n are parallel and m<60, find the measures of the remaining angles m<3=?

Mathematics
1 answer:
grigory [225]1 year ago
6 0

When you have two parallel lines being cut by a transversal, you can use the next statements for the angles:

The measurement of the angles in green is the same (are congruents)

The measurement of the angles in blue is the same (are congruents)

An angle in green is a complementary angle with an angle in blue. (The addition of the two angles has to be 180º)

You know that:

m\angle2=60º

As the angle 3 is congruent with angle 2:

m\angle3=60º

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Answer: 13b + 43

You want to substitute the value of the variable into the equation and simplify it. When doing this, the answer is 13b + 43.

Step-by-step explanation:

Hope this helps =)

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Which statement is true about the patterns in the two tables ?
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This monitor has a diagonal length of 19 inches and an aspect ratio of 5:4. What are the width and height of the monitor? Round
nasty-shy [4]

<em>Rounded to the nearest tenth of an inch the Witdth of the monitor is 14.8 inches while the Height of the monitor is 11.9 inches.</em>

<h2>Explanation:</h2><h2 />

The aspect ratio is defined as:

<em>"The proportional relationship between the width and height of an image"</em>

It is usually expressed in a mathematical language as:

x:y \\ \\ x: \ Width \\ \\ y: \ Height

So, it is true that:

x:y=5:4 \\ \\ or: \\ \\ \frac{x}{y}=\frac{5}{4} \\ \\ \therefore x=\frac{5y}{4}

In this case, we know that the monitor has a diagonal length (D):

D=19in

So, by Pythagorean theorem:

D^2=361 \\ \\ 361=x^2+y^2 \\ \\ Since \ x=\frac{5y}{4}

D^2=361 \\ \\ 361=x^2+y^2 \\ \\ Since \ x=\frac{5y}{4} \\ \\ 361=\left(\frac{5y}{4}\right)^2+y^2 \\ \\ 361=\frac{25y^2}{16}+y^2 \\ \\ \frac{41}{16}y^2=361 \\ \\ y^2=\frac{261\times 16}{41} \\ \\ y=\sqrt{140.87} \\ \\ y=11.869in

Finding x:

x=\frac{5(11.869)}{4} \\ \\ x=14.836in

<em>Finally, rounded to the nearest tenth of an inch the Witdth of the monitor is 14.8 inches while the Height of the monitor is 11.9 inches.</em>

<h2>Learn more:</h2>

Pythagorean Theorem: brainly.com/question/10182890

#LearnWithBrainly

5 0
3 years ago
Simplify the expression. write your answer using decimals. 22.5 + 7(n−3.4)
d1i1m1o1n [39]
22.5 + 7(n - 3.4)

= 22.5 + 7n - 23.8

= 7n -1.3
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3 years ago
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