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Ainat [17]
3 years ago
9

Given: angle 2 and angle 3 form a linear pair, angle 1 and angle 3 are vertical angles, and m angle 1, m angle 4, and m angle 5

form a straight angle. Prove: m angle 2 = m angle 4 + m angle 5
Mathematics
1 answer:
Volgvan3 years ago
5 0

Answer:

Step-by-step explanation:

<1 + <2 = 180 degrees (straight angle)

<3 + <5 + <4 = 180 degrees (straight angle)

<1 = <3 (vertical angles)

<1+<2 = <3+<4+<5 (straight angles)

<2 = (<3-<1)+<4+<5 (<3 - <1 = 0)

<2 = <4 + <5

You might be interested in
-2x + y = 0 <br><br> -7x + 3y = 2<br> ​
dsp73
This is a system of equations.
First, you set everything in terms of y.
Take the first equation and move set everything equal to y
y=0+2x
Since it’s 0, you don’t need to put it, so
y=2x works.
Then, you plug y=2x into the bottom equation, for the y.
-7x +3(2x)=2. You do this because now you have the same variable for both and it can be solved easily.
Then you can simplify.
-7x+3x = 2
Then combine like terms.
-4x = 2
Divide by -4 on each side.
x = -1/2
So, now that you have x, you can plug in your x-value back into the top equation.
-2(-1/2) + y = 0
Combine like terms
1+y=0
Get y by itself
y=-1
There you have it!
You can check by plugging in both values to any of the equations. We will use the top one here.
-2(-1/2) + (-1) =0
+1 + -1 = 0
It works!
So,
X= -1/2
Y= -1
Please rate me Brainliest answer :)
3 0
3 years ago
Read 2 more answers
The measure of an angle is 2.8.what is the measure of its complementary angle
german

Answer:

87.2º

Step-by-step explanation:

Complimentary angles total 90º

c + 2.8 = 90

c = 90 - 2.8

c = 87.2º

3 0
3 years ago
Read 2 more answers
After the drama club sold 100 tickets to a show, it had $300 in profit. After the next show, it had sold a total of 200 tickets
Alinara [238K]

Answer:


Option a :  y-300 = 4(x - 100)


Step-by-step explanation:

Given :

The drama club sold 100 tickets to a show, it had $300 in profit.

The next show, it had sold a total of 200 tickets and had a total of $700 profit.

To Find :  Equation models the total profit, y, based on the number of tickets sold, x

Solution :

For 100 tickets he had $300 in profit .


⇒ (x_{1} ,y_{1})=(100,300)


For 200 tickets he had $700 in profit .


⇒ (x_{2} ,y_{2})=(200,700)


We will use point slope form i.e.


y-y_{1} = m(x - x_{1}) --(A)


Now, to calculate m we will use slope formula :


m = \frac{y_{2} -y_{1} }{x_{2}-x_{1}  }


m = \frac{700 -300}{200-100}


m =4


Now, putting values in (A)


y-300 = 4(x - 100)


Thus Option a is correct i.e. y-300 = 4(x - 100)




5 0
3 years ago
Read 2 more answers
72 is what percent of 160?
Alchen [17]

72/160=?

Divide 72 by 160 to find the percent.

72/160=0.45

72 is 45% of 160.

I hope this helps :)

5 0
3 years ago
Read 2 more answers
Bob wants to put down new sod in his backyard except for the part set aside for his flower garden the diagram shows bobs backyar
zmey [24]

Answer:

Bob will need 235\ yd^{2} of sod

Step-by-step explanation:

step 1

Find the area of the backyard

A=20(14)=280\ yd^{2}

step 2

Find the area of the flower garden

A=5(9)=45\ yd^{2}

step 3

Find the difference

280\ yd^{2}-45\ yd^{2}=235\ yd^{2}

0 0
4 years ago
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