Complete the two column proof
Given angle to an angle five are supplementary
Prove: I || m

Answer:

x = 35° , y = 90°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

145° is an exterior angle of the triangle , then

y + 55° = 145° ( subtract 55° from both sides )

y = 90°

the sum of the 3 angles in a triangle = 180° , then

x + y + 55° = 180°

x + 90° + 55° = 180°

x + 145° = 180° ( subtract 145° from both sides )

x = 35°

Answer:

In geometry, the incircle or inscribed circle of a triangle is the largest circle contained in the triangle; it touches (is tangent to) the three sides. The center of the incircle is a triangle center called the triangle's incenter.

Answer:

200 km/hr

Step-by-step explanation:

Let Va = the velocity of the airplane

Let Vw = the velocity of the wind

When flying with the wind:

(Va+Vw)*(4 hours) = 4000

4Va + 4Vw = 4000

4Vw = 4000 - 4Va

Vw = 1000 - Va

When flying against the wind:

(Va-Vw)*(7 hours) = 4200 km

7Va - 7Vw = 4200

Substitute 1000-Va for Vw and solve for Va:

7Va - 7(1000-Va) = 4200          

7Va -7000 + 7Va = 4200

14Va = 11200

Va = 800 km/hr

Rate of wind:

Vw = 1000 - Va = 1000 - 800 = 200 km/hour

Answer:

52% or 13/25

Step-by-step explanation:

100%-48% is 52%

And for the fraction its 52/100 then simplified to 13/25

Answer: 13/25

Step-by-step explanation: You have 48/100 and need 52/100 to make the whole 100%

Simplify 52/1100

Answer:

A reflection on the y axis, and 12 units to the right

Step-by-step explanation:

This is true because if you translate something from one variable, you are going over the second variable.

Answer:

x = 73/12

Step-by-step explanation:

Given:

[tex]\displaystyle \large{12(x-7)=-11}[/tex]

Distribute 12 in x-7:

[tex]\displaystyle \large{12x-84=-11}[/tex]

Add both sides by 84:

[tex]\displaystyle \large{12x-84+84=-11+84}\\\displaystyle \large{12x=73}[/tex]

Divide both sides by 12:

[tex]\displaystyle \large{\dfrac{12x}{12}=\dfrac{73}{12}}\\\displaystyle \large{x=\dfrac{73}{12}}[/tex]

Therefore, the solution is x = 73/12

Answer:

[tex]\large\boxed{\bf\:x = \frac{73}{12} = 6\frac{1}{12} \approx 6.083}[/tex]

Step-by-step explanation:

[tex]12(x - 7) = -11[/tex]

Multiply 12 by x & 7 (distributive property) in the left hand side of the equation .

[tex]12(x-7)=-11\\(12*x)-(12*7)=-11\\12x - 84 =-11[/tex]

Bring -84 to the right hand side of the equation. Then,

[tex]12x = -11 + 84\\12x = 73\\x=\frac{73}{12} \\\\\boxed{\bf\:x = \frac{73}{12} = 6\frac{1}{12} \approx 6.083}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

(a) 5.61

Step-by-step explanation:

Rearrange from smallest to largest:

☟︎︎︎

5.61 < 16.5 < 51.6 <56.1

answer:

c

explanation:

from dollars to euro

for every us dollar you have 0.6957 euros

so you time that (0.6957) by 527

which is

366.6339 euros

now we need to convert the euros to swiss franc

so we do 366.6339 euros times 1.4755

this will be 540.96831945 chf

rounding to 2 decimal places will be : 540.96

The 63.5% of the students who do not exercise is the wrong percentage because 70% of the students do not exercise.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Miguel thinks that his data do not support the article's claim because 63.5% of the students who made the honor roll at his school do not exercise.

The percentage of the students who do not exercise will be

[tex]\rm P = \dfrac{112}{160} \times 100\\\\P = 70\%[/tex]

The 63.5% of the students who do not exercise is the wrong percentage because 70% of the students do not exercise.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ1

Answer:

5 is the mode of the data set.

Step-by-step explanation:

When finding the numbers of a bar graph like this, we count each x and the placement to find the number and amount of times it is shown.

Ex. There is 4 x's above 5. Meaning there are four, 5's.   5, 5, 5, 5.

The mode of a data set, is the number that appears the most often.

So, we can see that the 5 has the most x's, we know that 5 apears the most. Making 5, the mode.

Answer:

S

Step-by-step explanation:

The sales equation of the product is an illustration of a quadratic function, and the lifeline of the product is 12 years

The sales equation is given as:

S(t) = -(t - 3)² + 81

The lifeline of the product is when the sales hits 0.

This means that S(t) = 0

So, we have:

-(t - 3)² + 81 = 0

Subtract 81 from both sides

-(t - 3)² = -81

Divide both sides by -1

(t - 3)² = 81

Take the square root of both sides

t - 3 = 9

Add 3 to both sides

t = 12

Hence, the lifeline of the product is 12 years

#SPJ1

Read more about quadratic functions at:

https://brainly.com/question/1497716

Using the normal distribution, it is found that she scores less than 128 in 28.1% of her games.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 135, \sigma = 12[/tex].

The proportion of games in which she scores less than 128 is the p-value of Z when X = 128, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{128 - 135}{12}[/tex]

Z = -0.58

Z = -0.58 has a p-value of 0.281.

She scores less than 128 in 28.1% of her games.

More can be learned about the normal distribution at https://brainly.com/question/24663213

#SPJ1

Answer:

1

Step-by-step explanation:

in a linear equation a line will only cross the x and y-axis one time

Answer:

[tex](-45,-25)[/tex]

Step-by-step explanation:

[tex]-9 * 5 = -45-5 * 5 = -25(-45,-25)[/tex]

Answer:

C. 516 in2

Step-by-step explanation:

I took the test last week and I got this question corrected

Answer:

14 in

Step-by-step explanation:

area cylinder= area of base × height of cylinder

area of cylinder = (pi × radius²) × H

(sub in values )

196×pi = (pi x r²) × 1

(196×pi)/1 = pi × r²

(196×pi)/pi = r²

(pics cancel each other )

then, square root 196= r

14 in = radius

The type of dinner in which the value of its contribution to the appropriate test statistic is the greatest is E) Vegetarian

This refers to the derived statistic that is used in the statistical hypothesis testing in an experiment with a sample.

Hence, we can see that from the complete question, there is the tracking of dinner types by the manager and he compares the change in distribution from last year.

He finds that if each order is independent, then the type of dinner which is the value of its contribution to the appropriate test statistic the greatest is vegetarian meals.

Read more about test statistics here:
https://brainly.com/question/15980493

#SPJ1

Answer:

x = 1, y = 6

Step-by-step explanation:

look at attached

Answer:

(y= -3 , x=13/2 )

Step-by-step explanation:

20-2x+y =4

2x +3y =4

-2x+ y= -16

4y = - 12

Divide both side of the equation by 4

y =-3

x = 13/2

Answer:

20

Step-by-step explanation:

20 x 2 =40

40 is under 58 and the closest to 58

the next 10 is 30 and 30 x 30 is over 58 with 60

Answer:

Take out means add so

Step-by-step explanation:

320 + 450 = 770$ her new bank balance

Answer:

y=6x

Step-by-step explanation:

1. find the slope m. Pick two points on the line, such as (0,0) and (1,6). Plug those points into the slope formula.

m=change in y/change in x

m=6-0/1-0   Plug in (0,0)(1,6)

m=6/1    simplify

m=6  

The slope is 6

2. Find the y-intercept. Since the line crosses the y-axis at 0, the y-intercept is 0.

3. Use the slope m=6 and the y-intercept b=0 to write the equation in slope-intercept form.

y=mx+b

y=6x+0   Plug in m=6 and b=0

y=6x

Answer:

24 = x + 6

Step-by-step explanation:

24 =  x + 6

Answer:

do you go to palcs too?

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

have you smiled today? its very important:)

Answer:

A

Step-by-step explanation:

By finding and using the scale factor for the model, we conclude that the height of the model is 9.6 inches.

The ratio between the model's width and the real width is the scale factor, and all the dimensions change following that scale factor.

We have:

8 in = 10ft

1 ft = (8/10) in

This means that each feet in the real life, will be represented with (8/10) inches in the model.

Now we know that the real height is 12ft, then the model's height will be:

12* (8/10) in = 9.6 in

So the correct option is B.

If you want to learn more about scale factors, you can read:

https://brainly.com/question/3457976

Answer:

9.6

Step-by-step explanation:

took usatest prep got a 100%

Answer:

The answer is B. 60°

Step-by-step explanation:

The Unit Circle.

A =  sin^-1 ( [tex]\frac{\sqrt{3} }{2}[/tex]) = 60°

Answer:

D.40°

Step-by-step explanation:

Angle U is congruent to angle S because UR = RS and UT=TS. Through that we now know U is also = 100°. A quadrilateral has to equal 360° degrees so 360°- 120° - 100°- 100° = 40° degrees

T is 40°

Answer:

its D. 40

hope that helped you

Sorry I had to take down the answer, I might be wrong.