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sweet-ann [11.9K]
2 years ago
12

Need help with these 3

Mathematics
1 answer:
Masteriza [31]2 years ago
6 0

Answer:

Step-by-step explanation:

Corresponding angles: When two parallel lines are intersected by a transversal, the acute angles on the same side are congruent & the obtuse angles on the same side of the transversal are congruent and they are called corresponding angles.

Co-interior angles: The interior angles on the same side of the transversal are called co -interior angles and they are supplementary.

a) c + 123 =  180    {linear pair}

 c = 180 - 123

c = 57

a = 123 {Corresponding angles}

b = a   {Vertically opposite angles are congruent}

b = 123

b) f + 82 = 180   {Linear pair}

f  = 180 - 82

f = 98

d = f        {Corresponding angles}

d = 98

e = d   {Vertically opposite angles}

e = 98

c) h = 75   {Corresponding angles}

g = h {Vertically opposite anges}

g = 75

You might be interested in
–5x < 35 what the answer and how to solve it
Leya [2.2K]

Answer:

-7

Step-by-step explanation:

First, we know that we are solving for x so what we need to do is to find out what times -5=35.

We know that

-5x7=-35

So we know our answer cant be positive 7, which means we need the opposite of 7 which is -7.

And:

-5x-7=35

This makes the equation true:

Hence, the correct answer is -7

4 0
3 years ago
Angie and Kenny play online video games. Angie buys 1 software package and 3 months of game play. Kenny buys 1 software package
andrey2020 [161]

Answer:The cost of one month of game-play =$20


Step-by-step explanation:

Let the cost of one month of gameplay be x

Then cost of game-play bought by Angie =3x.....(1)

and Then cost of game-play bought by Kenny=4x......(2)

Cost of each software package =$50......(3)

The the total cost =240= sum of costs of software bought by both of them and game-play)=50+50+3x+4x

⇒240=100+7x.......→(by adding like terms)

⇒140=7x⇒x=20.....→( dividing both sides by 7 )

∴the cost of one month of game-play =$20



8 0
4 years ago
Read 2 more answers
Suppose we describe the weather as either hot ​(Upper H​) or cloudy ​(Upper C​). Answer parts​ (a) and​ (b) below.
Ket [755]

Answer:

{HH,CC,HC,CH}

Step-by-step explanation:

We are given that

H denotes hot and cloudy denotes C.

We have to find the  total possible outcomes for the weather on two consecutive days.

The possible cases in two consecutive days

Both days are hot=HH

Both days are cloud=CC

First day is hot  other day cloudy=HC

First day is cloudy other day is hot=CH

Total possible cases=HH,CC,HC,CH

Therefor, the total outcomes for the weather on two consecutive days={HH,CC,HC,CH}

4 0
3 years ago
Three less than the product of 18
ololo11 [35]

Answer:

(18x)-3

Step-by-step explanation:

8 0
3 years ago
A bee flew 840 \text{ cm}840 cm840, space, c, m and landed on a flower to collect some pollen. Then the bee flew another 330 \te
alexdok [17]

Answer:

<em>The bee traveled 11.7 meters.</em>

Step-by-step explanation:

A bee flew 840 cm first to land on a flower to collect some pollen and then flew another 330 cm to get back to her hive.

For <u>finding the total distance traveled, we need to just add</u> 840 cm and 330 cm.

So, (840+330) cm = 1170 cm

We know that,  1 meter = 100 cm. That means, <u>for converting 'cm' into 'meter' , we need to divide by 100</u>.

Thus,  1170 cm= \frac{1170}{100} meter = 11.7 meter

So, the bee traveled 11.7 meters.

5 0
4 years ago
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