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Tema [17]
3 years ago
5

Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures cre

ated by the intersecting lines? Explain.
Mathematics
1 answer:
Rudik [331]3 years ago
3 0
Adjacent angles create linear pairs so they add to 180. If we know the measure of one angle, we can find the other by subtracting from 180.

Vertical lines create congruent angles. If we know the measure of one angle, we know the measure of the angle opposite of it (they only share a vertex, no sides)
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Find the measures of ∠B and ∠C. PLEASE HELP!!
BartSMP [9]

It's an isosceles triangle, therefore m∠B = m∠C.

We have the equation:

2x + 10 = 3x - 5      <em>subtract 10 from both sides</em>

2x = 3x - 15     <em>subtract 3x from both sides</em>

-x = -15     <em>change the signs</em>

x = 15

m∠B = (2x + 10)°

m∠B = (2 · 15 + 10)° = (30 + 10)° = 40°

We know, the sum of measures of a tringle is equal 180°.

m∠A + m∠B + m∠C = 180°

m∠B = m∠C = 40°

<h3>Answer: ∠B = 40° and ∠C = 40°</h3>
8 0
4 years ago
HELP PLEASE I NEED ANSWER QUICK!!!
inn [45]

Answer:

Function is always a relation because otherwise an equation could not be written about its spread behavior.

Function cannot have two ys to an x.  So, a relation is not always a function.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Question
sp2606 [1]

Given:

CH = 3960 miles

Altitude = 240 miles

To find:

The distance from the space station to the horizon.

Solution:

The reference image for answer is attached below.

Radius = 3960 miles

CD = CH = 3960

ED = 240

EC = CD + ED

     = 3960 + 240

EC = 4200 miles

By Pythagorean theorem:

E C^{2}=E H^{2}+C H^{2}

4200^{2}=E H^{2}+3960^{2}

17640000=E H^{2}+15681600

Subtract 15681600 from both sides.

17640000-15681600=E H^{2}+15681600-15681600

1958400=E H^{2}

Taking square root on both sides, we get

$1399.428=EH

$1400 \approx  EH

The distance from space station to the horizon is approximately 1400 miles.

8 0
4 years ago
What is 55% of 125? Provide the steps you used to get your answer.
Finger [1]

55% of 125 is 68.75 because 55/100 or 0.55 times 125 equals 68.75.

7 0
4 years ago
Read 2 more answers
What is 54×56+y and add 9 more
FinnZ [79.3K]
Hey there! :)

PARENTHESES
EXPONENTS
MULTIPLICATION
DIVISION
ADDITION
SUBTRACTION

First is multiplying

54 × 56 = 3,024

Now, add 9

3,024 + 9 = 3,033

At last, add y

3,033 + y = 3,033 + y

Your answer is: 3,033 + y

Hope this helps :)
7 0
4 years ago
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