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Sergio039 [100]
3 years ago
7

I am confused on what I need to do. someone please help?

Mathematics
1 answer:
viktelen [127]3 years ago
4 0

Answer:

x = 16

Step-by-step explanation:

Since ∆ABC is congruent to ∆DEC, their corresponding angles would be equal to each other.

<B is congruent to <E, therefore,

<B = <E

x + 15 = 6x - 65 (substitution)

Collect like terms

x - 6x = -15 - 65

-5x = -80

Divide both sides by -5

x = 16

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Do the ratios 24:60 and 2:5 form a proportion?
algol [13]

Yes

It can easily be evaluated by testing:

24/2=12

60/5=12

Both equal the same digit, which means they are proportional :)

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3 years ago
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Bruce is going to call one person from his contacts at random. He has 25 total contacts. 20 of those contacts are from his neigh
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No of people not from their neighborhood=25-20=5
total contact s=25
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Linh buys two T-shirts for $12 each, a pair of shoes for $28, and a pair of jeans for $45. She has a coupon for 30 percent off h
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A store owner wants to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $13.20 pe
Stells [14]

Answer:

13lbs

Step-by-step explanation:

x = number of pounds of chocolate/lbs

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8 0
3 years ago
Please help me solve for x =
Sladkaya [172]

Answer:

x = 13

Step-by-step explanation:

Given that Δ NML and Δ PST are similar right triangles, we can set up the following proportional statement to establish their relationship:

\frac{ML}{NM} = \frac{ST}{PS}

\frac{8}{10} = \frac{x - 1}{x + 2}

Cross multiply:

8(x + 2) = 10 (x - 1)

8x + 16 = 10x - 10

Subtract 8x from both sides:

8x - 8x + 16 = 10x - 8x - 10

16 = 2x - 10

Add 10 to both sides:

16 + 10 = 2x - 10 + 10

26 = 2x

Divide both sides by 2:

\frac{26}{2} = \frac{2x}{2}

13 = x

Verify whether x = 13 is the correct value:

\frac{ML}{NM} = \frac{ST}{PS}

\frac{8}{10} = \frac{x - 1}{x + 2}

\frac{8/2}{10/2} = \frac{4}{5}

\frac{x -1}{x+2} =  \frac{13 - 1}{13 + 2} = \frac{12}{15} = \frac{12 / 3}{15 /3} = \frac{4}{5}

This shows the proportional relationship between \frac{ML}{NM} = \frac{ST}{PS}, and that ΔNML and ΔPST are indeed similar right triangles.

Therefore, the correct answer is x = 13.

4 0
3 years ago
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