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2 years ago

Refer to the given figure. If QR=3x+4, KL=15, JL=2x+10, find the measure of JL. A. 2 B. 6 C. 18 D. 22

Mathematics

1 answer:

Kipish [7]2 years ago

5 0

Answer:

Option C

Step-by-step explanation:

From the given figure, it is clear that the two triangles are similar to each other with QR = KL

As we know

QR = 3x+4 and KL = 15, we can derive the value of X

3X+4 = 15

X = 11/3

Jl = 2X + 10 = 2*11/3 +10 = 22 +30/3 = 52/3 = 18

hence, option C is correct

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Answer:

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3 years ago

Someone please help me please don’t answer if you don’t know ..

earnstyle [38]

the answer would be 7/8

Step-by-step explanation:

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2 years ago

Read 2 more answers

Consider the implicit differential equation <img src="https://tex.z-dn.net/?f=%2849%20y%5E%7B3%7D%20%2B%2045%20xy%29%20dx%20%2B%

BaLLatris [955]

We're looking for an integrating factor $\mu(x,y)=x^py^q$ such that

$\mu\underbrace{(49y^3+45xy)}_M\,\mathrm dx+\mu\underbrace{(98xy^2+50x^2)}_N\,\mathrm dy=0$

is exact, which would require that

$(\mu M)_y=(\mu N)_x$
$(49x^py^{q+3}+45x^{p+1}y^{q+1})_y=(98x^{p+1}y^{q+2}+50x^{p+2}y^q)_x$
$49(q+3)x^py^{q+2}+45(q+1)x^{p+1}y^q=98(p+1)x^py^{q+2}+50(p+2)x^{p+1}y^q$
$\implies\begin{cases}49(q+3)=98(p+1)\\45(q+1)=50(p+2)\end{cases}\implies p=\dfrac52,q=4$

You can verify that $(\mu M)_y=(\mu N)_x$ if you'd like. With the ODE now exact, we have a solution $F(x,y)=C$ such that

$F_x=\mu M$
$F=\displaystyle\int(49y^3+45xy)x^{5/2}y^4\,\mathrm dx$
$F=10x^{9/2}y^5+14x^{7/2}y^7+f(y)$

$F_y=\mu N$
$50x^{9/2}y^4+98x^{7/2}y^6+f'(y)=98x^{7/2}y^2+50x^{9/2}y^4$
$f'(y)=0$
$\implies f(y)=C$

and so the general solution is

$F(x,y)=10x^{9/2}y^5+14x^{7/2}y^7=C$

8 0

2 years ago

Show the relationship between the number of miles and the number of hours in the ratio 12 to 1

densk [106]

Answer:

The person has a speed of 12 miles per hour.

Step-by-step explanation:

The ratio is 12 miles to 1 hour.

This means, that in every hour, the person can move 12 miles and has a speed of 12 miles per hour.

3 0

2 years ago

Three friends all have ages that are consecutive integers. The sum of their ages is 180. What is the age of the oldest friend?

Lynna [10]

Answer:

Step-by-step explanation:

Oldest friend=X+2; Middle friend=X+1; Youngest friend=X

X+(X+1)+(X+2)=180

3X+3=180 Subtract 3 from each side.

3X=177 Divide each side by 3

X=59 Youngest friend is 59.

X+2=59+2=61 ANSWER: Oldest friend is 61.

X+2=59+1=60 Middle friend is 60.

CHECK:

Sum is 180

59+60+61=180

180=180

8 0

3 years ago