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maksim [4K]
3 years ago
5

Help me understand this problem please

Mathematics
1 answer:
slavikrds [6]3 years ago
8 0

Answer: 49

==============================================

Explanation:

HI is parallel to KL, so this means that the two triangles can be proven similar through the AA (angle angle) similarity theorem.

Consequently, that means we can set up the proportion below

JH/JK = HI/KL

noticed how the left slant sides JH and JK pair up together on one side; the horizontal sides HI and KL pair up on the other side. I have the larger triangle's side lengths as the numerator for each side

Plug in the given values. Solve for HI

JH/JK = HI/KL

35/15 = HI/21

7/3 = HI/21

21*7 = 3*HI

3*HI = 147

HI = 147/3

HI = 49

This means that 35/15 = HI/21 turns into 35/15 = 49/21

Note: to check the answer that the last equation mentioned is true, we can subtract the fraction 49/21 from both sides to end up with 35/15 - 49/21 = 0. If you type "35/15 - 49/21" into your calculator, you should get 0, which will help confirm we have the right answer.

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Terry rectangular yard is 15 meters by 18 meters Todd's rectangular yard is 20 meters by 9 meters how much greater is the area o
mariarad [96]

Answer:

Terry's yard is greater than Todd's yard by 90 square meters.

Step-by-step explanation:

We are given the following in the question:

Terry's yard dimensions:

Length,l = 18 meters

Width,w = 15 meters

Area of Terry's yard =

A = l\times w\\A = 18\times 15\\A=270\text{ square meters}

Todd's yard dimensions:

Length,l = 20 meters

Width,w = 9 meters

Area of Todd's yard =

A = l\times w\\A = 20\times 9\\A=180\text{ square meters}

Thus, Terry's yard is greater than Todd's yard.

Difference in area of yards

= Terry's yard area - Todd's yard area

=270-180\\=90\text{ squarde meters}

Thus, Terry's yard is greater than Todd's yard by 90 square meters.

8 0
3 years ago
Is 12+5(2+y) and 5y+22 equivalent
USPshnik [31]

Answer:

22 + 5y

Step-by-step explanation:

Yes they are

5 x 2 = 10 + 5 x y = 5y, 10 + 12 = 22, therefore you get 22 + 5y.

7 0
3 years ago
A contractor needs to fence a rectangular backyard for a client. The length of the backyard should be at least 150 ft, and the d
Butoxors [25]

Answer:

Option: A is correct.

Step-by-step explanation:

Since we are given a information that:

A contractor needs to fence a rectangular backyard for a client.

(1) The length of the backyard should be at least(gretaer than or equal to)            

     150 ft.

     The length of the backyard is denoted by 'y' as in the graph.

  Hence according to statement (1) we have:

           y≥ 150

(2) The distance around should be no more than 450 ft.

This means that the  perimeter has to be less than or equal to 450 ft.

                 Hence, 2x+2y ≤ 450.

So such inequalitiies on graphing will give the graph same as in A option.

Hence option A is correct    


7 0
4 years ago
What is 10x10x10x10x10x10x10=__<br> Thanks!
Elden [556K]
Ten to the power of 7
8 0
4 years ago
Read 2 more answers
Help Please!!!!!!
ollegr [7]
F+g(x)=5x^2+9x-4-8x^2-3x-4
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6 0
3 years ago
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