Select the reason why these triangles are
similar. If they are not, select "Not similar."
50°
50°

Step-by-step explanation:

The endpoints of the diameter are A(-4,1) and B(4,2) . For finding the equation of circle we need to find the centre and the radius.

Coordinates of centre can be find out by the midpoint formula.

[tex] \implies Center = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\implies Centre = \bigg(\dfrac{-4+4}{2},\dfrac{1+2}{2}\bigg)\\\\\implies \boxed{\boxed{Centre = (0 , 1.5)}}[/tex]

Now the measure of radius can be obtained by half the distance between them.

[tex]\implies D = \sqrt{ (x_2-x_1)^2+(y_2-y_1)^2}\\\\\implies D =\sqrt{ (4+4)^2+(2-1)^2}\\\\\implies D = \sqrt{ 64 + 1 }\\\\\implies D =\sqrt{65} \\\\\implies \boxed{\boxed{ Radius = \dfrac{\sqrt{65}}{2} }}[/tex]

We know the general equation of circle as ,

[tex]\implies (x-h)^2+(y-k)^2= r^2[/tex]

[tex]\implies (x-0)^2+ (y-1.5)^2 = \bigg(\dfrac{\sqrt{65}}{2} \bigg)^2\\\\\implies x^2 + (y-1.5)^2=\dfrac{65}{4} \\\\\implies\boxed{\boxed{ 4x^2+4(y-1.5)^2 = 65 }}[/tex]

Answer:

x=180-43-59=78

y=180-78=102

z=78-49=29

Step-by-step explanation:

Answer:

The resistance of the copper wire supplying electricity to this pump is 0.005 ohm

Step-by-step explanation:

Given

Per day cost of running centrifugal pump is $30

Charge of electricity is 9.7 cents per kilowatt hour

Total electricity power consumed

[tex]\frac{30}{0.097} \\309.278[/tex] kilowatt hour

Current flowing through the pump

[tex]= \frac{309.278}{240} \\= 1.288[/tex]A

Resistance of the pump

[tex]\frac{1.288}{240} \\0.005[/tex] ohm

The resistance of the copper wire supplying electricity to this pump is 0.005 ohm

It’s :lim f(x)=85 and lim f(x)=120

The limit of the given functions f(x)=85 and lim f(x)=120.

We have given that,

Function f(x) has a jump discontinuity at x = 8.

We have to determine a statement that identifies possible one-sided limits at x = 8.

lack of continuity or cohesion.  gap sense 5. The property of being not mathematically continuous is a point of discontinuity. an instance of being not mathematically continuous, especially a value of an independent variable at which a function is not continuous.

lim f(x)=85 and lim f(x)=120

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Answer:

x=22

Step-by-step explanation:

Answer:

x = 22

Step-by-step explanation:

Answer:

1. Fraction = 0.36, 36% and 36/100

Answer:

1200 in^2

Step-by-step explanation:

SA = 2B + Ph

SA = 2(8 * 15 / 2) + 40(27)

SA = 1200

Answer:

0.932 miles

Step-by-step explanation:

To find out the difference we subtract

6 - 5.068 = 0.932

Add the units (miles)

0.932 miles

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

0.9 miles

Step-by-step explanation:

Solve

Given:

Jane = 6 miles

Jessica = 5.068

To find: How many more miles did Jane run than  Jessica

Which is simply the difference between both miles.

So,

6 - 5.068 = 0.932

In the nearest tenths, Jane ran 0.9 miles more than Jessica.

Answer:

108 inches

Step-by-step explanation:

Answer:

D. H = 2.1t + 12

Step-by-step explanation:

Let us assume the t be the time in minutes

And h be the water level

Now before reaching to the equation that need to be used

before this, determine the inches per minute i.e.  

= 54 inches - 12 inches

= 42 inches in 20 minutes.

Now for per minute, it would be

= 42 inches ÷ 20 minutes

= 2.1 inches per minute

After this, multiply the inches per minute with the minutes t and add the sale to the beginning value i.e. 12

So the equation is

H = 2.1t + 12

hence, the last option is correct

Answer:

1 whole pound silly

Step-by-step explanation:

Answer:

Its 8

Step-by-step explanation:

Using the unit circle, it is found that the value of y is given by:

[tex]x^2 + y^2 = 1[/tex]

At point P, we have that [tex]x = \frac{2}{5}[/tex], and hence, we have to find the value of y.

[tex]x^2 + y^2 = 1[/tex]

[tex]\left(\frac{2}{5}\right)^2 + y^2 = 1[/tex]

[tex]\frac{4}{25} + y^2 = 1[/tex]

[tex]y^2 = 1 - \frac{4}{25}[/tex]

[tex]y^2 = \frac{21}{25}[/tex]

[tex]y = \pm \sqrt{\frac{21}{25}}[/tex]

[tex]y = \pm \frac{\sqrt{21}}{5}[/tex]

To learn more about the unit circle, you can take a look at https://brainly.com/question/16852127

Answer:

Step-by-step explanation:

since 5 has nothing to do with this question lets put the 5 aside and focus with the 2 miles and the 8 weeks.. if there is 7 days in a week and there is 8  weeks that is 56 days in total.. multiply by 2 miles per day would equal...                  

i believe (112)

An outside angle of a triangle is equal to the sum of the two opposite inside angles.

X = 30 + 40 = 70

Answer: The last table is the correct answer.

Step-by-step explanation: The ratio is 6 strawberries  to 1 banana.

The ratio of strawberries to bananas in a smoothie recipe is; 6 strawberries to 1 banana. The last table is the correct answer.

Suppose the  real measurements were "a" and "b"

Then their ratio will be formed as

[tex]\dfrac{a}{b} = \dfrac{p \times x}{q \times x} = \dfrac{p}{q}[/tex]

where  is a common factor (not 1)

This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly cancelled from both the numerator and the denominator.

Thus, a = px, b = qx

Noted that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

The ratio 6 strawberries to 1 banana.

6 :1

The ratio of strawberries to bananas in a smoothie recipe is; 6 strawberries to 1 banana. The last table is the correct answer.

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Answer:

165432

Step-by-step explanation:

165432 - 65432 = 100000

Answer:

Is this multiple choice question?

Answer:

3(4x - 2.5) = 5(0.4x + 10) + 33

3•(4•x - 2.5) = 5•(0.4•x + 10) + 33

10x = 90.5

x = 181/ 20

= 9.05

Step-by-step explanation:

9514 1404 393

Answer:

  x = 9.05

Step-by-step explanation:

Start by eliminating parentheses.

  12x -7.5 = 2.0x +50 +33

  10x = 90.5 . . . . . . . . . . . . . add 7.5-2x

  x = 9.05 . . . . . . . . . . divide by 10

Answer:

63

Step-by-step explanation:

50 % of 210 = 105

one fifth of total = 42

black masks = (105+42=) - 210 = 63 ans.

Answer:

x=50

y=40

p=130

Step-by-step explanation:

A whole circle is 360 degrees, so 270+40+x = 360. x=50.

Y is the same angle as the 40 degrees above it.

P is the same as y+90, so it's 40+90 = 130.

Answer:

30.96 ft²

Step-by-step explanation:

area of square = 12 x 12 = 144 ft²

area of circle = (3.14)(6²) = 113.04 ft²

144 - 113.04 = 30.96 ft²

Answer:

-2 < AC < 8

Step-by-step explanation:

The last side has to be less than the sum of the other 2 sides, or less than 8. The only answer choice with this is the 3rd one.

Answer:

[tex]\frac{9}{80}[/tex]

Step-by-step explanation:

So there is 40marbles in total

The probability of picking a red marble first is [tex]\frac{10}{40}[/tex] because there is 10 red marbles out of 40 total marbles

Then you replace it and I'm going to assume that you put the red marble back.

Then you would still have 40 marbles and the probability of picking a blue one is [tex]\frac{18}{40}[/tex] because there is 18 blue marbles.

Then you multiply [tex]\frac{10}{40}[/tex] and [tex]\frac{18}{40}[/tex] and that is [tex]\frac{9}{80}[/tex]

Hope this helps and If I'm wrong pls tell me.

Answer:

20

Step-by-step explanation:

fraction of stamps that has animals on it x total number of stamps paco has = pictures with animals on it

(5/6) x 24 = 20

Answer:

3

Step-by-step explanation:

8*3 + 8*3

(24) + (24) = 48

8*6 = 48

Answer:

1000 times larger.

Step-by-step explanation:

Answer:

1000 ( divide 5000 by 5 )

Answer:

I don't know.