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Nimfa-mama [501]
3 years ago
15

Find the sides, and the value of x and y.

Mathematics
1 answer:
Gelneren [198K]3 years ago
3 0

Answer:

\huge\boxed{x=15;\ y=4}

Step-by-step explanation:

Proportion:

\dfrac{x}{18}=\dfrac{5}{6}\qquad|\text{cross multiply}\\\\(x)(6)=(18)(5)\\\\6x=90\qquad|\text{divide both sides by 6}\\\\\huge\boxed{x=15}

\dfrac{y}{5}=\dfrac{12}{x}

substitute x = 15:

\dfrac{y}{5}=\dfrac{12:3}{15:3}\\\\\dfrac{y}{5}=\dfrac{4}{5}\qquad|\text{cross multiply}\\\\(y)(5)=(5)(4)\\\\5y=20\qquad|\text{divide both sides by 5}\\\\\huge\boxed{y=4}

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How do you write <br><br> 40/25<br> as a percentage?
rosijanka [135]
<span>What percent of 40 is 25? 
Let x = what percent 
of = multiplication 
is means = 
We now write it in math terms: 
x times 40 = 25 

40x = 25 
Divide both sides by 40 to find x. 
x = 25/40 
x = 0.625 
Change the decimal number 0.625 to a percent. 
x = 62.5%
</span>
6 0
3 years ago
At a putt putt course there are 50 yellow golf balls, 45 red golf balls, and 65 blue golf balls. What ratio compares the number
oksian1 [2.3K]
Blue balls : Total number.

Total number of balls = 50 + 45 + 65 = 160

Blue balls : Total number.

= 65: 160    Divide both by 5.
= 13 : 32

= 13/32.    That is the ratio.

6 0
3 years ago
Please Please Help Me In These Math Questions!!!!’
Harman [31]

Answer:

m∠JLN = 42°

m∠MLK = 90°

m∠KLO = 42°

m∠JLO = 138°

m∠AGE = 160°

Step-by-step explanation:

m∠JLN = 90-48=42°

m∠MLK = 90°

m∠KLO = 42° (∠KLO opposite of ∠JLN, Opposite angles are congruent)

m∠JLO = 180-42=138°

For the second question, things become somewhat more complex.

We know that ∠GHD = 2x° and ∠AGH (x+15)°.

You correctly calculated that x=15°.

∠AGE is equal to both 180-(x+15)° and 180-2x°. Either equation will work just fine.

∠AGE = 180 - (15 + 15) = 180 - 30 = 160°

So m∠AGE = 160°

6 0
3 years ago
Which is a correct two-column proof? Given: &lt;H and &lt;X are supplementary. prove: l || n
andriy [413]

Answer:

option-B

Step-by-step explanation:

we are given

<H and <X are supplementary angles

so,

<H+<X=180

we know that

<H and <E are vertically opposite angles

so, they must be equal

<H=<E

we can plug it

<E+<X=180

It means that angle(E) and angle(X) are supplementary angles

and these two angles are same side interior angles

By using same side interior angles converse

so, line(l) and line(n) must be parallel

so, option-B

8 0
3 years ago
Read 2 more answers
What ratios are equivalent to 12:3
nlexa [21]

Answer:

4:1

Step-by-step explanation:

8 0
3 years ago
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