Similar Triangles

Use the diagram, which is not drawn to scale, to decide which proportions are true.

a. I and IV only
b. II only
c. I and II only
d. I only

Please select the best answer with the choices provided

Answer:

24%

Step-by-step explanation:

Taxes

t = 55000 - 41800

t = 13200

% tax

p = 13200/55000 * 100

p = 24%

Answer:

8

Step-by-step explanation:

By intersecting chords theorem:

[tex]14(2x + 2) = 12(2x + 5) \\ \\ 28x + 28 = 24x + 60 \\ \\ 28x - 24x = 60 - 28 \\ \\ 4x = 32 \\ \\ x = \frac{32}{4} \\ \\ x = 8[/tex]

Answer:

0.3L

Step-by-step explanation:

1000mL = 1L

300mL = 0.3L

Answer:

N=21 Degrees M=122 Degrees L= 37 Degrees X=21 Degrees

Step-by-step explanation:

Add all them up then make them equal 180 degrees

9x-9 = 180

Solve

9x=180 +9

9x= 189

9x/9= 189/9

x=21

Then plug in x to find each Angle.

N (x) Degrees

N=21 Degrees

M = 6x - 4

M = 6(21) - 4

M = 126 - 4

M = 122 Degrees

L = 2x - 5

L = 2(21) -5

L = 42 - 5

L = 37 Degrees

Answer:

45

Step-by-step explanation:

58928

489472

74737383737372

Answer:

90

Step-by-step explanation:

When you have Triangles, you have to divide your answer by two. So first, Multiply 3 x 5, which is 15. But you need to divide by two, so 15 ÷ 2 is 7.5. Then, Multiply 7.5 x 12, and now you have 90. Hope this helps!

Answer:

4 additional days.

Step-by-step explanation:

So the total charge is $575.

It costs $355 for 1 week of use of the van.

1 week is 7 days.

It costs $55 for each extra day of use of the van.

575=55d+355

d is for the unknown extra amount of days.

subtract 355 from both sides

220=55d

divide by 55 on both sides

4=d

So, the Dakotas used the van for 4 additional days. So in total the used the van for 4+7 days.

4+7=11 total days.

But the answer to the question is 4 days, because it specifically ask for additional days.

Answer:

Perimeter is (width×height) but in this case it would be base×width & height...

First find the with of the triangle,by measureing the points with the base.

Second to find the base simply look equilateral and the half circle. and see how the lines in between it and the triangle collide. and count the spaces to find the base.

Third measure the height with the best estimate.

And finally, multiply by (h×w) and divide by the base.

After following these steps the answer I have come to is: 45

Step-by-step explanation:

I'm sorry if this is wrong I tried my best ❤️Good luck! and have a great day or night!

Answer:

42,84

Step-by-step explanation:

Remark

Two of the sides are 12 inches. The third side is also 12 but it serves as a diameter of the semicircle.

The circumference of the semi circle is 2*pi*r /2 = pi * r

The total perimeter is pi * r + 2*12

r = d/2

r = 12/2

r = 6

Perimeter = 6*pi + 24 might be you answer.

Perimeter = 42.84

I don't know which answer to use. It all depends how other questions have been answered. Sometimes you take the decimal answer and sometimes you take the answer in terms of pi. I think the latter is what I would try first.

Answer:

Blue cars, B = 63 cars

Step-by-step explanation:

Let the blue cars be B.

Let the red cars be R.

Given the following data;

Ratio of B:R = 9:7 = 9 + 7 = 16

Red cars, R = 49

To find the number of blue cars;

First of all, we would determine the total number of cars using the expression;

R = 7/16 * x = 49

7x = 49 * 16

7x = 784

x = 112 cars

Now, we can find the number of blue cars;

B = 9/16 * 112

B = 1008/16

Blue cars, B = 63 cars

Answer:

Step-by-step explanation:

Answer: 125.6

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

E. 3×3×3×3

part b:

3×3×3×3

9×9

81

Answer:

1/2^7

Step-by-step explanation:

Answer:

1/2^7

Step-by-step explanation:

Answer:

...

Step-by-step explanation:

1. 0.002

2. 308%

3. 2 6/10

Answer:

D

Step-by-step explanation

translation

x1 = x+1 = 2

y1 = y-2 = 3

(2;3)

dilation

x1 = 3x = 6

y2 = 3y = 9

(6,9)

Answer:

18/26

16/26

16/26

18/26

Step-by-step explanation:

Answer:

40 square feet of material

Step-by-step explanation:

Answer:

0.9759%

Step-by-step explanation:

26500 = 25000x^6

solve for x

x = 1.009759

This means it increases by 0.009759 which is 0.9759%

Answer:

a circle is 2d and a cone is 3d and a cone has a circle on the bottom

Step-by-step explanation:

Answer:

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

Step-by-step explanation:

Assume that the probability of a defective computer component is 0.02. Components are randomly selected. Find the probability that the first defect is caused by the seventh component tested.

First six not defective, each with 0.98 probability.

7th defective, with 0.02 probability. So

[tex]p = (0.98)^6*0.02 = 0.0177[/tex]

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

Find the expected number and variance of the number of components tested before a defective component is found.

Inverse binomial distribution, with [tex]p = 0.02[/tex]

Expected number before 1 defective(n = 1). So

[tex]E = \frac{n}{p} = \frac{1}{0.02} = 50[/tex]

Variance is:

[tex]V = \frac{np}{(1-p)^2} = \frac{0.02}{(1-0.02)^2} = 0.0208[/tex]

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

Answer:

A. 8 cm

Step-by-step explanation:

Total surface of a cylinder = 130π cm²

Diameter (d) = 10 cm

Radius (r) = 10/2 = 5 cm

Height = ?

Formula for total surface area of cylinder = 2πrh + 2πr²

Plug in the values

130π = 2*π*5*h + 2*π*5²

130π = 10hπ + 50π

130π = π(10h + 50)

Divide both sides by π

130 = 10h + 50

Subtract 50 from each side

130 - 50 = 10h

80 = 10h

Divide both sides by 10

80/10 = 10h/10

8 = h

h = 8 cm

Answer:

–x² + 12x + 5

Step-by-step explanation:

x² + 3x

–2x² + 9x + 5

The sum of the above expression can be obtained as follow:

.... x² + 3x

+ –2x² + 9x + 5

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

–x² + 12x + 5

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Thus, the sum of x² + 3x and –2x² + 9x + 5 is –x² + 12x + 5

=======================================================

Work Shown:

y = 4x+5 .... start with equation B

x+1 = 4x+5 .... replace y with x+1, due to equation A

The second step used the substitution property.

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Alternative Viewpoint:

The variable y is equal to both 4x+5 and x+1 at the same time; therefore, the two right hand sides must be the same.

It's like saying if y = x and y = 5, then x = 5.

Answer:

Example

Step-by-step explanation:

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 3 3 . The equation of a perpendicular line to y=3x−5 y = 3 x - 5 must have a slope that is the negative reciprocal of the original slope.