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forsale [732]
2 years ago
14

Helppppppp plzzzzzzz

Mathematics
2 answers:
EleoNora [17]2 years ago
8 0

Answer:

angle 5 = 102

Step-by-step explanation:

angle 2 = angle 6 { they are corresponding angles }

and then angle 6 and angle 5 = 180

78 + angle 5 = 180

angle 5 = 180-78

angle 5 = 102

chubhunter [2.5K]2 years ago
5 0

Answer:

102°

Step-by-step explanation:

Angles in a straight line is added up to 180°

So,

Angle 1 + Angle 2 = 180°

Given that,

Angle 2 = 78°

We can find angle 1

Let us find,

Let the angle 1 be x

x+78=180\\x=180-78\\x=102

As a and b lines are parallel,

Angle 1 = Angle 5 (Corresponding angles)

Also we already found the angle 1

So,

Angle 5 = 102°

Hope this helps you.

Let me know if you have any other questions :-)

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in the ambrose family the ages of the three children are three consecutive even integers . if the age of the youngest child is r
klemol [59]

The ages are consecutive even numbers.
The youngest child is  (x+3) years old.
Every even number is 2 more than the one before it.
So the three ages are

           (x + 3),  (x + 5),  and  (x + 7).

Their sum is    x+3  +  x+5  +  x+7  =  3x + 15

But we're told that their sum is  42, so we can write

                                              3x + 15 = 42  <== the equation

Subtract 15 from each side:  3x         =  27

Divide each side by  3 :          x         =   9    <== the solution

So the three ages are  12,  14,  and  16.

The oldest child is  16  years old.

3 0
3 years ago
Determine if the figures are similar. If they are, what is the scale factor from the first figure to the second figure?
lora16 [44]

Answer:

The scale factor is \frac{3}{2}

Step-by-step explanation:

Yes the figures are similar to each other. The ratio of their linear measurements is in uniform ration

The ration of radius of large cylinder (R) to that of the smaller cylinder (r) is

\frac{18}{12} \\\frac{3}{2}

Like wise the ration of height of large cylinder (H) to that of the smaller cylinder (h) is

\frac{30}{20} \\\frac{3}{2}

The scale factor is \frac{3}{2}

5 0
3 years ago
Plz help
riadik2000 [5.3K]
  1. 4(20+22)
  2. 4(40+2)

This expression are equivalent to 4(42)

4 0
2 years ago
Peter left his home in Chicago and drove to a town a few hours away. On the way there, he drove 40 mph due to traffic, but on th
Orlov [11]

Answer:

50 mph

Step-by-step explanation:

To calculate averages you add up all the items and divide by the total number of items there is.In this problem were 2 items so you divide it by 2

Add the two numbers

40+60=100

now just divide by 2 because there was 2 drives giving you 50 mph

Hope this helps!

:)

4 0
3 years ago
As a real estate agent kensho earns 4.5% commission on the houses he sells in the first quarter of the year he sold two houses o
Natalka [10]
175000 / 100 = 1750  this step finds 1% of 175000
1750 x 4.5 = 7875  this step finds 4.5% of 175000
Commission for first house $7875
199000 / 100 = 1990  this step finds 1% of 199000
1990 x 4.5 = 8955  this step finds 4.5% of 199000
Commission for second house $8955
$7875 + $8955 = $16,830

Kensho's commission for this quarter is $16,830
4 0
3 years ago
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