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2 years ago

Given segment AC and point B that lies on AC,

Mathematics

1 answer:

ololo11 [35]2 years ago

8 0

The total length of the segment AC is the sum of AB and CB, which gives, CB = 9

<h3>How can the length of CB be found?</h3>

The given parameters are;

AC = 17
AB = 32 + 3•x
CB = 57 + 6•x

Required: CB

Solution:

AC = AB + CB by segment addition property

Therefore;

AC = 17 = 32 + 3•x + 57 + 6•x = 89 + 9•x

17 = 89 + 9•x

$x = \frac{17 - 89}{9} = - 8$

CB = 57 + 6•x = 57 + 6 × (-8) = 9

Therefore;

CB = 9

Learn more about segment addition postulate here: brainly.com/question/1721582

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He could give each grandchild 3 cookies each. He would then have 12 cookies remaining.

You would divide 60 by 16 which would be 3 with a remainder of 12. The remainder is the number of cookies left after giving each grandchild the same amount of cookies each.

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

You are a contractor and charge $45 for a site visit plus an additional $24 per hour for each hour you spend working at the site

tino4ka555 [31]

Answer:

Equation: 810= (90 + 24y)

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Step-by-step explanation:

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cost per hour worked = $24

for each work site, the total amount of money earned

= site visit fee + cost for working

But the question mentions TWO sites, hence there will be two site visits. Therefore for TWO sites, we have to account for TWO site visit fee.

Therefore for TWO sites, the total amount of money earned

= site 1 visit fee + site 2 visit fee + cost for working

= (2 x site visit fee) + cost for working ------ Equation 1

We are further given that we worked y hours at the hourly work rate of $24 per hour.

Hence the cost for working

= y hours x hourly rate

= y x $24

= $24y (substituting this into equation 1 above)

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= (2 x $45) + $24y

= $90 + $24y

= $(90 + 24y)

We are also given that we have to earn $810 for two sites, hence

810 = 90 + 24y

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3 years ago

1 and 2 are complementary angles. 1 and 3 are vertical angles. If

Marizza181 [45]

If angle 1 and angle 2 are complementary, then they add up to 90 degrees. We are given that angle 2 equals 52 degrees.

So we subtract and get our answer:

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The next step is:

Angle 1 and angle 3 are vertical angles.

Vertical angles are congruent.

So if angle 1 is 38, then angle 3 is also 38.

Now, supplementary angles add up to 180 degrees.

So that's the answer:

180-38=142

142 is the supplement of angle 3.

Hope it helps! :)

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3 years ago

If you invest $500 at 4% interest,compounded annually,how much is in the account at the end of six years?

Genrish500 [490]

So, we'll find out how much interest this person will have in 6 years and then add it to the original deposit. To do this we will multiply all the factors:

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3 years ago