Given ac is perpendicular to cb and cx is perpendicular to ab, prove angle 2 is congruent to angle 3.

Given:

The data values are 22, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 30.

To find:

The five-number summary.

Solution:

We have,

22, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 30

Divide the data values on 2 equal parts.

(22, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26), 26, (26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 30)

Divide each parentheses in two equal parts.

(22, 23, 23, 24, 24, 24), (25, 25, 25, 25, 26, 26), 26, (26, 26, 27, 27, 27, 28), (28, 28, 28, 29, 29, 30)

Now,

Minimum value = 22

[tex]Q_1=\dfrac{24+25}{2}=24.5[/tex]

Median = 26

[tex]Q_2=\dfrac{28+28}{2}=28[/tex]

Maximum value = 30

So, the five number summary is 22, 24.5, 26, 28, 30.

Therefore, the correct option is D.

Answer:

Its angle 3

Step-by-step explanation:

Because it has the largest view

Answer:

No

Step-by-step explanation:

-x is only in the parenthesis not outside. Whatever your number is, let's say 2 would be x, you input 2 as x in which you get f(-2)

hope this helps :)

Answer:

m= -1.3

Step-by-step explanation:

subtract 3.4 from both side and than simplify

Answer:

1/7

Step-by-step explanation:

Answer:

1/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

let y be the opposite angle,

6x-11 + y = 180( sum of opposite angles)

y=180+11-6x

y=191 - 6x

thus, 81+x+5+191-6x=180(angle sum property)

-5x=-97

Answer:

19. Option A

20. Option B

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

You can't have the same X values for two different Y values

in this case 19 goes with 11 and 10 in the pairs (19,11) and (19,10)

Answer:

C) If the perfect square terms are A^2 and B^2 and other terms must be 2 AB and -2AB

Step-by-step explanation:

As,

[tex](a^2+2ab+b^2)=(a+b)^2\\(a^2-2ab+b^2)=(a-b)^2[/tex]

Answer:

Step-by-step explanation:

The Perfect Squares  are the squares of the integers

Perfect square trinominal is:   a² ± 2ab + b²  {which is (a±b)²}

So:

The first and third terms must be perfect squares and neither of the perfect  squares can have a minus sign and If the perfect square terms are A2 and B2 then the other term  must be 2AB or -2AB

Answer:

8

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle

7x - 4 + 9x + 4 = 128° add like terms

16x = 128 divide both sides by 16

x = 8

Answer: use desmos graphing calculator

Step-by-step explanation:

Answer:

b.  –155.9, 155.9, 0

Step-by-step explanation:

I just did the practice.

Answer:

D

Step-by-step explanation:

I took the test.

Answer:

h = 2 - 2/3t

Step-by-step explanation:

3h + 2t = 6

~Subtract 2t to both sides

3h = 6 - 2t

~Divide 3 to everything

h = 2 - 2/3t

Best of Luck!

Answer: 4 Cups

I think in order to solve this, you would need to add up the fractions that they used. So it would be,

[tex]\frac{1}{4}+\frac{1}{4}+\frac{3}{8}+\frac{3}{8}+\frac{5}{8}+\frac{5}{8}+\frac{5}{8}+\frac{7}{8}[/tex]   Transform the Expressions

[tex]\frac{1+1}{4} +\frac{3+3+5+5+5+7}{8}[/tex]    Calculate the sum

[tex]\frac{2}{4} +\frac{28}{8}[/tex]    Reduce

[tex]\frac{1}{2}+\frac{7}{2}[/tex]   Transform the Expression

[tex]\frac{1+7}{2}[/tex]   Calculate

[tex]\frac{8}{2}[/tex]  Reduce the Fraction

[tex]4[/tex]

Please mark brainliest if this helped you :)

Answer:

S=20-1.25t

Step-by-step explanation:

I got this answer welcome.

The equation for depth of snow after t hours is, S = 20 - 1.25 t.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

The initial depth of snow = 20 inches,

Rate of melting = 1.25 inches per hour.

After t hours, the snow melt = 1.25 t

The equation of the S in terms of t can be written as,

S= 20 - 1.25 t.

The required equation is S = 20 - 1.25 t.

To know more about Equation on:

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Answer:

ithink 8470 the answer

Step-by-step explanation:

sana nakatulong

Multiply his earnings by 8%:

16490 x 0.08 = 1319.20

He spent £1,319.20

Answer:

Yes

Step-by-step explanation:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8. and that is something Very similar.

Hope this helps!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

6.6

Step-by-step explanation:

10x(x)=66

x=66/10

x=6.6

Answer:

Adults $10

Child: $6

Step-by-step explanation:

I took the test

The price of an adult ticket and the price of a child ticket are $12 and $13.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

On the first night,

the Movie House Theater sold 7 adult tickets and 11 child tickets for $227.

On the second night, they took in $150 by selling 6 adult tickets and 6 child tickets.

Let x be the number of tickets sold to an adult and y be the number of tickets sold to a child.

According to the question,

7x + 11y = 227   equation 1

and 6x + 6y = 150,

Simplifying,

x + y = 25   equation 2

Now, we have a system of equations.

7x + 11y = 227   equation 1

x + y = 25   equation 2

From the equation 2 we have,

y = 25 - x

Substitute the value of y to the equation 1,

7x + 11(25-x) = 227

7x + 275 - 11x  = 227

275 - 227 = 4x

x = 48/4

x = 12

Then y = 25 - 12

y = 13.

Therefore, the prices of ticket for adult's and children are $12 and $13 respectively.

To learn more about the system of equation;

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Answer:

f(n) = 1

Step-by-step explanation:

Another answer for -3. FxN= -3

Answer:

1. 96 tennis balls

2. 96 dollars

3. 18 dollars

Step-by-step explanation:

Answer:

the answer is yes

Step-by-step explanation:

Answer:

about 240.8551 mm

Step-by-step explanation:

Answer:

[tex]m\angle CAB=65^\circ[/tex]

Step-by-step explanation:

Angles and Lines

It's convenient to recall two basic principles of angles:

The sum of internal angles in a triangle is 180°

Two linear angles are supplementary, i.e. they sum 180°.

Angles ABC and CBD are linear. Since we know the measure of angle CBD, thus the measure of angle ABC is 180°-6x.

Now focus on the triangle. The sum of its internal angles is:

x + 40 + 3x + 10 + 180 - 6x = 180

Simplifying:

-2x + 230 = 180

Subtracting 230:

-2x = -50

Dividing by -2:

x = -50 / (-2) = 25

x = 25°

Now find the measure of angle CAB

[tex]m\angle CAB=x+40=25+40=65[/tex]

[tex]\mathbf{m\angle CAB=65^\circ}[/tex]

Step-by-step explanation:

y=2x+3

y=3x+3

(Use the elimination method)

y=2x+3(-3) = -6x-9

y=3x+3(2) = 6x+6

(subtract the new equations)

y= -3

(Now find X)

(plug in y in any equation and solve)

y=2x+3

(-3)=2x+3

0= 2x X= 0

or you can just graph the lines go to three on the Y axis put a point go up the y-axis two and over 1 and plot another point.

go to three on the y-axis and plot a point. go up three on the y-axis and over 1

Answer:

positive one

Step-by-step explanation:

look at the position on the y axis

Answer:

(0, - 4 )

Step-by-step explanation:

The y- intercept is the value of the y- coordinate where the line crosses the y- axis.

The line crosses the y- axis at y = - 4 ← y- intercept or

(0, - 4 ) in coordinate form