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marshall27 [118]
3 years ago
7

What is the value of x?​

Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0

The top smaller sub-triangle and the whole big triangle are similar. This means that the correspondant sides are in proportion. So, we have

6\div 5 = 54\div 3x+12

Which implies

6(3x+12)=5\cdot 54 \iff 3x+12=\dfrac{5\cdot 54}{6}=45

So, we have

3x+12 = 45 \iff 3x = 33 \iff x=11

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Graph the line that passes through the points ( 0 , − 4) and (−5,2) and determine the equation of the line.
Eduardwww [97]
  1. Answer:

i am highly sorry but there is no graph for me to help you with on this site :(

but to help you the X line always comes first for example the (-5,2) the -5 would be on the X line. I really hope that this help. :)

7 0
3 years ago
During a field trip, 60 students are put into equal-sized groups. Describe two ways to interpret 60 ÷ 5 in this problem *
sergeinik [125]

Answer:

    x=12 groups

This will give 5 Students each in 12 different equally sized groups

    x'=5groups

This also shows that students can grouped in equal groups of 12 in 5 places

Step-by-step explanation:

From the question we are told that

60 children in equal sized groups

Generally interpreting 60\div 5 can be mathematically represented as

a)

    x=\frac{60}{5}

    x=12 groups

This will give 5 Students each in 12 different equally sized groups

b)

    x'=\frac{60}{12}

    x'=5groups

This also shows that students can grouped in equal groups of 12 in 5 places

6 0
3 years ago
The soccer team bought new uniforms for $ 649.62. if there are 12 kids on the team, how much did each uniform cost? ( round answ
lianna [129]

Answer:

$54.14 per soccer uniform

Step-by-step explanation:

649.62/12

= 54.135

Round to the nearest penny - $54.14

4 0
3 years ago
Read 2 more answers
What are the solutions of x^2-2x+37=0?
blsea [12.9K]

Answer:

Answer is x=1+6i x=1-6i

Step-by-step explanation:

3 0
3 years ago
A woman earns $ 1,350 in interest from two accounts in one year. If she has three times as much invested at 7% as she does at 6%
VashaNatasha [74]

Answer:

The woman invested $15,000 at 7% interest rate and $5,000 at  6% interest rate.

Step-by-step explanation:

We are given the following in the question:

Let x be the interest earned from 7% interest rate and y be the interest earned from 6% interest rate.

The woman invested has three times as much invested at 7% as she does at 6%.

Thus, we can write the equation:

x = 3y

The total interest is $1,350.

Thus, we can write the equation:

1350 = \dfrac{7x}{100} + \dfrac{6y}{100}\\\\7x + 6y = 135000

Solving the two equations by substitution method:

7(3y) + 6y = 135000\\27y = 135000\\y = 5000\\x = 3(5000) = 15000

Thus, she invested $15,000 at 7% interest rate and $5,000 at  6% interest rate.

8 0
3 years ago
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