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NARA [144]
3 years ago
11

Match the reasons with the statements in the proof if the last line of the proof is: 6. ∠3 and ∠5 are supplementary because of t

he definition of supplementary. Given: s | | t Prove: 3, 5 are supplementary
Mathematics
1 answer:
mote1985 [20]3 years ago
5 0

Answer with Step-by-step explanation:

We are given that

Line s is parallel to line t.

To prove that : angle 3 and angle 5 are supplementary.

1.s\parallelt

Reason: Given

2.Angle 1 and  angle 3 are supplementary

Reason: Exterior sides in opposite rays

3.\angle 1+\angle 3=180^{\circ}

Reason: By definition of supplementary

4.\angle 1=\angle 5

Reason: If lines are parallel , then corresponding angles are equal.

5.\angle 3+\angle 5=180^{\circ}

Reason: Substitution

Hence, proved.

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Anyone can help me with math for solving for a side in the right triangles for khan academy
Elden [556K]

Answer:

7.45

Step-by-step explanation:

We are given a right triangle with one side length known and an angle know so we can use some trigonometry.

You need to find the hypotenuse so you are going to use either sine or cosine.

Since the adjacent from the angle is given (SOH-CAH-TOA) we can use cosine so,

cos(20) = 7/h

=>h = 7/cos(20)

=> 7.44924

=> 7.45

6 0
2 years ago
-2/3f=9.2<br> -1/8n = -2/7 <br> 12/20n = -36/44<br> -64.5g = -25.8 <br> -15/28 = -9/10
user100 [1]

Step-by-step explanation:

-2/3f =9.2

cross multiply

27,6= -2f

divide both sides by 2

f = - 13.8

-1/8n = -2/7

cross multiply

-16 = -7n

divide

n = 2.29

12/20n = -36/44

cross multiply

528 = - 720n

divide

n= -0.733

-64.5g = -25.8

divide both sides by -64.5

g = -0.4

the last one has no variable

5 0
3 years ago
Express your final answer in simplest form 3/5 + -7/8
frez [133]

Answer:

- 0.5

Step-by-step explanation:

you first change the fractions numbers  in to decimal form

      so;   2/5 = 0.4

               -7/8 = - 0.875

hence;   0.4 + (-0.875)

             = - 0.475

in to its simplest form   =  - 0.5

  the answer is - 0.5

5 0
2 years ago
Darius counted that he walks 864 steps from his house to the bookstore. If Darius takes 52 steps each minute, about how long wil
MakcuM [25]

Answer:

It would take him approximately 16.62 minutes to reach the bookstore

Step-by-step explanation:

Total steps to the bookstore=Number of steps per minute×number of minutes

where;

Total steps to the bookstore=864 steps

Number of steps per minute=52

Number of minutes=t

Replacing;

864=52×t

t=864/52

t=16.62 minutes

It would take him approximately 16.62 minutes to reach the bookstore

3 0
3 years ago
The bike store marks up the wholesale cost of all of the bikes they sell by 30%. Andre wants to buy a bike that has a price tag
Step2247 [10]

Answer:

$96.15

Step-by-step explanation:

Given data

markup = 30%

cost price= $125

let the cost price before markup be x

125-30/100*x= x

125-0.3x= x

125= x+0.3x

125= 1.3x

divide both sides by 1.3

x= 125/1.3

x= $96.15

Hence the price before markup is $96.15

6 0
2 years ago
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