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2 years ago

What is the similarity?

Mathematics

1 answer:

NNADVOKAT [17]2 years ago

7 0

Answer:

The similarity ratio is 2 to 1

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

Now, let us use the angle markings

We have it that;

RP/QR = VW/VX

4/8 = 1/2

1/2 = 1/2

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The measure of two supplementary angles are in the ratio 4 5 find the degree measures of the angles

Katen [24]

Supplementary angles add to 180
4+5=9

180/9=20

4*20=80
5*20=100
the angles are 80 degrees and 100 degrees

8 0

3 years ago

Select the correct answer.

Sophie [7]

Answer:

D) x² -x - 10 =0

Step-by-step explanation:

Given that

$\frac{2}{3x-6} - \frac{1}{3x+6} = \frac{1}{3}$

L.C.M

$\frac{2(3x+6)-(3x-6)}{(3x+6)(3x-6)} = \frac{1}{3}$

$\frac{(6x+12-3x+6)}{(3x+6)(3x-6)} = \frac{1}{3}$

$\frac{(3x+18)}{((3x)^{2} )-(6)^{2} } = \frac{1}{3}$

⇒ $3(3x+18) = 9 x^{2} - 36$

⇒ 9 x + 54 = 9 x² - 36

⇒ 9 x² - 36 - 9x - 54 =0

⇒ 9 x² - 9x - 90 =0

⇒ 9(x² -x - 10 ) =0

⇒ x² -x - 10 =0

8 0

2 years ago

Evaluate the integral from 0 to 1/2 of xcospixdx

aleksklad [387]

$\bf \int\limits_{0}^{\frac{1}{2}}xcos(\underline{\pi x})\cdot dx\\
-----------------------------\\
u=\underline{\pi x}\implies \frac{du}{dx}=\pi \implies \frac{du}{\pi }=dx\\
-----------------------------\\
thus\implies \int\limits_{0}^{\frac{1}{2}}xcos(u)\cdot \cfrac{du}{\pi }
\\\\
\textit{wait a sec, we need the integrand in u-terms}\\
\textit{what the dickens is up with that "x"?}\qquad well\\
-----------------------------\\
u=\pi x\implies \frac{u}{\pi }=x\\
-----------------------------\\$ $\bf thus
\\\\
\int\limits_{0}^{\frac{1}{2}}\cfrac{u}{\pi }cos(u)\cdot \cfrac{du}{\pi }\implies 
\int\limits_{0}^{\frac{1}{2}}\cfrac{u}{\pi }\cdot \cfrac{cos(u)}{\pi }\cdot du\implies 
\cfrac{u}{\pi^2}\int\limits_{0}^{\frac{1}{2}}cos(u)\cdot du\\
-----------------------------\\
\textit{now, let us do the bounds}
\\\\
u\left( \frac{1}{2} \right)=\pi\left( \frac{1}{2} \right)\to \frac{\pi }{2}
\\\\
u\left( 0 \right)=\pi (0)\to 0\\
-----------------------------\\$ $\bf thus
\\\\
\cfrac{u}{\pi^2}\int\limits_{0}^{\frac{\pi }{2}}cos(u)\cdot du\implies \cfrac{u}{\pi^2}\cdot sin(u)\implies \left[ \cfrac{u\cdot sin(u)}{\pi^2} \right]_{0}^{\frac{\pi }{2}}
$

5 0

3 years ago

What percent is 15 of 75

poizon [28]

100%/x%=75/15
(100/x)*x=(75/15)*x - we multiply both sides of the equation by x
100=5*x - we divide both sides of the equation by (5) to get x
100/5=x 
20=x 
x=20

4 0

3 years ago

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What are the x-intercepts of y = 4x^2 + 4x + 1?

Slav-nsk [51]

Answer:

hope this helps:) have a good day

8 0

2 years ago

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