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Julli [10]
2 years ago
10

Please help me with number ten and twelve

Mathematics
1 answer:
jasenka [17]2 years ago
5 0

Answer: 93,\ 34^{\circ}

Step-by-step explanation:

Given

For figure (i) both triangles are congruent

\therefore 8x-27=4x+33\\\Rightarrow 8x-4x=33+27\\\Rightarrow 4x=60\\\Rightarrow x=15

\Rightarrow PQ=8x-27\\\Rightarrow PQ=93

For figure (ii)

Two triangles WXZ and WZY are congruent

\therefore 9x-28=5x-8\\\Rightarrow 4x=20\\\Rightarrow x=5^{\circ}\\\Rightarrow \angle YWX=2(9x-28)\\\Rightarrow \angle YWX=2(17)\\\Rightarrow \angle YWX=34^{\circ}

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LUCKY_DIMON [66]

Using a system of equation, we have that:

a)

  • x, which is the cost of on-site service.
  • y, which is the cost of at-store service.
  • z, which is the cost of by-mail service.

b)

The system is:

x = 3y

z = y - 10

15x + 40y + 5z = 3100

c)

The cost of one on-site repair service is of $90.

Item a:

The variables are:

  • x, which is the cost of on-site service.
  • y, which is the cost of at-store service.
  • z, which is the cost of by-mail service.

Item b:

On-site service costs <u>3 times as much as at-store service</u>, thus:

x = 3y

By mail service costs <u>$10 less than at-store</u>  service, thus:

z = y - 10

Last week, the shop completed <u>15 services on-site, 40 services at-store, and 5 services by mail for total sales of $3100</u>, thus:

15x + 40y + 5z = 3100

The system is:

x = 3y

z = y - 10

15x + 40y + 5z = 3100

Item c:

  • The cost of one on-site repair service is x.
  • First, replacing the first two equations into the third, we find y, and then with it we find x.

15x + 40y + 5z = 3100

15(4y) + 40y + 5(y - 10) = 3100

60y + 40y + 5y = 3150

105y = 3150

y = \frac{3150}{105}

y = 30

Then

x = 3y = 3(30) = 90

The cost of one on-site repair service is of $90.

A similar problem is given at brainly.com/question/24823220

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2 years ago
Lisa is on a run of 12 miles. She has 4 hours to complete her run. How many miles does she need to run each hour to complete the
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Answer:

3 miles/h

Step-by-step explanation:

<u>You can set up a division problem to represent the equation.</u>

12 miles÷4 hours=3 miles/hr

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