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3 years ago

HELP ASAP!!! will give brainliest to best answer!!

Mathematics

1 answer:

shtirl [24]3 years ago

4 0

Answer:

$\frac{16}{21}=\frac{8}{10.5}$

$\frac{16}{8}=\frac{21}{10.5}$

Step-by-step explanation:

we know that

If two figures are similar then the ratio of its corresponding sides is proportional

In this problem

triangle YPQ and triangle YXZ are similar by AA Similarity Theorem

$\frac{YP}{YX}=\frac{YQ}{YZ}$

substitute the given values

$\frac{16}{21}=\frac{8}{10.5}$

Rewrite

$\frac{16}{8}=\frac{21}{10.5}$

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Mrac [35]

Closest is C

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3 years ago

Write the standard form of the equation of the circle with endpoints of a diameter at the points (7,2) and (-9,5).

lys-0071 [83]

Answer:

$(x+1)^2 + (y- 3.5)^2 =64$

Step-by-step explanation:

We are given that endpoints of a diameter at the points (7,2) and (-9,5).

Center of the circle is the mid point of diameter

So, first find the mid point of diameter

Formula : $x=\frac{x_1+x_2}{2} , y=\frac{y_1+y_2}{2}$

$(x_1,y_1)=(7,2)\\(y_1,y_2)=(-9,5)$

Substitute the values in formula

$x=\frac{7-9}{2} , y=\frac{2+5}{2}$

$x=-1 , y=3.5$

So, center of circle = (h,k )=(-1,3.5)

To find length of diameter :

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$(x_1,y_1)=(7,2)\\(y_1,y_2)=(-9,5)$

$d=\sqrt{(-9-7)^2+(5-2)^2}$

$d=\sqrt{265}$

Length of radius = r = $\frac{Diameter}{2}=\frac{\sqrt{256}}{2}$

Standard form of the equation of the circle : $(x -h)^2 + (y- k)^2 = r^2$

(h,k )=(-1,3.5)

$r=\frac{\sqrt{256}}{2}$

Equation of the circle : $(x+1)^2 + (y- 3.5)^2 =(\frac{\sqrt{256}}{2})^2$

Equation of the circle : $(x+1)^2 + (y- 3.5)^2 =64$

Hence the standard form of the equation of the circle with endpoints of a diameter at the points (7,2) and (-9,5) is $(x+1)^2 + (y- 3.5)^2 =64$

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3 years ago

Jeff and kevin went to the fair with $20 each. They paid $6 for two rides, $2 for cotton candy and bought two drinks at $3 each.

d1i1m1o1n [39]

Answer:

Jeff and Kevin have $20 left

Step-by-step explanation:

do (20+20)-(6+6)-2-(3+3)=20

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2 years ago

Factor 108-3n squared

Len [333]

The answer to the question is √3(−n+36)

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3 years ago

Read 2 more answers

What is the approximate area of the triangle? A)12.5 B)18 C)21.5 D)31

dalvyx [7]

Answer:

21.5

Step-by-step explanation:

Counting the full squares: 16

Counting the squares that are more than 1/2: 6

The best estimate would be 21.5

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3 years ago