What is the measure of each angle in Megan’s triangle?

m∠A =
°
m∠B =
°
m∠C =
°

Answers

Answer 1

Answer:

A, C and D are true statements.

Step-by-step explanation:

Megan constructed triangle ABC.

In Megan’s triangle, m∠A is represented by x°.

Therefore, ∠A = x°

For m∠B is 4 times greater than m∠A

Therefore, ∠B = 4x°

For m∠C is 30° less than 5 times m∠A.

Therefore, ∠C = 5x°-30°

ABC is a triangle.

Sum of all angles of a triangle is 180°. Angle sum property of triangle.

m∠A + m∠B + m∠C = 180°

x° + 4x° + 5x°-30° = 180°

x° = 15°

True Statements are:

A) m∠A = x°

C) m∠B = (4x)°

D) m∠C = (5x – 30)°


Related Questions

im not quite sure how to do this pls if anyone could help thanks

Answers

Answer:

a, 10% of 300 = 30 b, 300 - 30 = 270

Step-by-step explanation:

1. 300 x 10 = 3,000

2. Move decimal place 2 to the left = 30.00

3.  Subtract 30 from 300 which is 270

What is the value of x? Enter your answer in the box.

Answers

Answer: x = 4

Step-by-step explanation:

this is just easier to show work for so i hope this helps :)

PLEASE I NEED HELP!!!!!

Answers

Answer:

-5, -8, -4, -7, 0

Step-by-step explanation:

Graph a line with a slope of 4 that contains the point (3, 0)

Answers

Answer ↓

[tex]\text{view explanation pls}[/tex]

Calculation ↓

The first step is to write the line's equation in point-slope form

y-y1=m(x-x1)

y-0=4(x-3)

use the distributive property

y-0=4x-12

y=4x-12

Now that we have the equation of the line, we need to determine it's graph. how do we actually graph the line?

Well, let's start with the y-intercept, which is -12 or (0, -12)

After plotting the point (0, -12) move up 4, over 1, up 4, over 1, up 4, over 1.

Do the same on both sides of the y-intercept.

hope helpful ~

What is the mean for the set of data?
Rubric Test Score

xx. X. Xx. Xx. Xxx
1 2 3 4 5
Score

Answers

Answer: 3.3
Steps: 1) 1+1+2+3+3+4+4+5+5+5=33
2) 33/10=3.3


25. Anthropologists use a linear model that relates human femur (thighbone) length to height. The model allows an anthropologist to determine the height of an individual when only a partial skeleton (including the femur) is found. Here we find the model by analyzing the data on femur length and height for the eight males given in the following table.
(c) An anthropologist finds a human femur of length [tex]53 \mathrm{~cm} .[/tex] How tall was the person?

Answers

The height of the person when an anthropologist finds a human femur of length will be 183.94cm.

How to calculate the height?

In order to calculate the height, the expression to use will be:

h = 1.876l + 84.512

h = 1.876(53) + 84.512

h = 99.428 + 84.512

h = 183.94

Therefore, the height is 183.94cm.

Learn more about height on:

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Write the following as an inequality (-1,43)

Answers

Answer:

-1<x<43

Step-by-step explanation:

HELP SOLVE THANK YOU!

Answers

Answer:

Solution 1: 1+1[tex]\sqrt{3}[/tex]

Solution 2: 1-[tex]1\sqrt{3}[/tex]

Step-by-step explanation:

x^2-2=2x

x^2-2x-2=0

Use quadratic equation.

(-b+-[tex]\sqrt{b^2-4ac}[/tex])/2a

(2+-[tex]\sqrt{(-2)^2-4*1*-2}[/tex])/2

(2+-[tex]\sqrt{(4+8})[/tex])/2

(2+-[tex]\sqrt{12}[/tex])/2

Solution 1: (2+2[tex]\sqrt{3}[/tex])/2=1+1[tex]\sqrt{3}[/tex]

Solution 2: 1-[tex]1\sqrt{3}[/tex]

Let's first move everything, the constants and variables to one side

    [tex]x^2-2=2x[/tex] ⇒ [tex]x^2-2x-2=0[/tex]

The second form is in the general form of the quadratic equation:

 ⇒ [tex]ax^2+bx+c = 0[/tex]

a ⇒ 1b ⇒ -2c ⇒ -2

To find the value of x, we can use the quadratic formula:

  ⇒ look at the diagram attached

  [tex]x = \frac{-b-\sqrt{b^2-4ac} }{2a} =\frac{2-\sqrt{(-2)^2-4(1)(-2)} }{2*1} =\frac{2-\sqrt{4+8} }{2} =\frac{2-\sqrt{12} }{2} =\frac{2-2\sqrt{3}}{2} =1-\sqrt{3}[/tex]

  [tex]x = \frac{-b+\sqrt{b^2-4ac} }{2a} =\frac{2+\sqrt{(-2)^2-4(1)(-2)} }{2*1} =\frac{2+\sqrt{4+8} }{2} =\frac{2+\sqrt{12} }{2} =\frac{2+2\sqrt{3}}{2} =1+\sqrt{3}[/tex]  

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                  Answer

To answer the question, just answer in the order I solved it, because the question asks you to put the answer in ascending order which means from least to greatest.

Hope that helps!

Find the error: 2(3x+4)=16

Answers

Answer:

6x+8=16

or,6x=16-8

or,6x=8

or,x=4 by 3

Write the expression represented by the following: 8 less than twice a number

Answers

Answer:

2x<8

Step-by-step explanation:

we don't know the number so let the number be x then 2*x=2x therefore 2x<8

any value that is unknown or can change is a variable? true or false ?

Answers

Answer:

True

Step-by-step explanation:

I just know off the internet. Hope this helps lol.

Definitely true because variables are used in an unknown number

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

x=19, y=[tex]19\sqrt{3}[/tex]

Step-by-step explanation:

This triangle is a 30-60-90 triangle.

This means the hypotenuse (38) is double the short leg (x)

x=19

Then use the pythagorean theorem

a^2+b^2=c^2

19^2+y^2=38^2

361+y^2=1444

Subtract 361 from both sides

y^2=1083

put it in square roots and simplify

[tex]\sqrt{1083} =19\sqrt{3}[/tex]

y=[tex]19\sqrt{3}[/tex]

To solve this problem:

  ⇒ need to use a special right triangle theorem:

Let's consider the information given:

   ⇒ one angle is 30 degrees

      ⇒ one angle marked with a little square signifies that it is 90

          degrees

          ⇒ (all the angles added up are 180 degrees) so the last angle is                  

               60 degrees

Therefore we have a '30-60-90' triangle which states:

the side opposite the 30-degree angle

           ⇒ half the length of the hypotenuse (longest side of the triangle)

              ⇒ x = 38/2 = 19

the side adjacent to the 30-degree angle

          ⇒ is the square root of 3 divided by 2 of the hypotenuse

              ⇒ y = [tex]\frac{\sqrt{3} }{2} *38=19\sqrt{3}[/tex]

Therefore:

    x = 19

    y = [tex]19\sqrt{3}[/tex]

Hope that helps!

This is a valid probability distribution because if you add together the probabilities their sum is 1



True
False

Answers

Answer:

True

Step-by-step explanation:

A square pyramid is shown below: What is the surface area of the pyramid?
A: 11.69 square feet
B: 3.29 square feet
C: 7.49 square feet
D: 2.24 square feet

Answers

Answer:

A: 11.69 square feet.

Step-by-step explanation:

11.2 + 0.49

= 11.69

kathryn is x years old. if her mother is two years more than the square of kathryn's age, and the sum of their ages is 44 years. form an equation in x and solve it to find the ages of kathryn and her mother​

Answers

Answer:

aaa

Step-by-step explanation:

(6,-1) slope= 2/3 in y=mx+b pls help

Answers

I don't know what you're asking, but in this situation, y would be -1, m would be 2/3 because that's the slope, x would be 6, and b would -5 due to substitution when you find everything else.

Write 2 as a complex number.

Answers

Answer:

2 + 0i

Step-by-step explanation:

Our real number in this scenario would be 2. And since we don't need an imaginary part because we are just converting 2 by itself, we plug in 0 for the imaginary number.

The ages of members of a stamp collecting group are normally distributed with a mean of 56 years and a standard deviation of 3 years there are 82 members in the group about how many members are expected to be between 53 years old and 59 years old

Answers

Answer:

all of them

Step-by-step explanation: Because the age bracket id between 56 and 59.

The perimeter of a triangle is 104 units. The combined length of two of the sides of the triangle is 64 units.

What is the length of the third side of the triangle in units?

Answers

Answer:

Step-by-step explanation:

168

The diagram shows a square pizza box with side lengths of 18 inches. In the box is a circular pizza with a radius of 8 inches. What is the difference between the area of box and the pizza?

Answers

There is a difference of 123 square inches between the pizza box and the pizza.

18x18=324
pi8^2=201.0619

324-201=123

what is 10066×140 please help me and explain the answer

Answers

Your answer would be 1,409,240

you would mutpliy 0 and 9 first and keep mutpliying until you get your answer

Answer:

The answer is 1,409,240

Step-by-step explanation:

I asume you are doing this by hand so here are the steps:

1. set up the problem- whitch would look like this

 10066

x    140

Now you have to mutiply the 1s place, by all the number places of the top number

Sence you have a zero in the 1s place you can just put a x, whitch would look like:

 10066

x    140

         x

Now you do that for all the places

     2 2                   * Make sure you rase the number to the next place

 10066                  4*6 = 24        24+4= 28  4*0=0

x     140

 40284x

Now that you mutiplyed the 4 by everything and got the answer of 402840 (the x is just a zero) then you leave it aside and mutiply the 1s by everything whitch is much simpler.

   10066                   1*6= 6     1*0= 0    1*1 =1

x       140

10066xx           (now you put 2 X's)

You get the answer of 1006600 and you add it with 402840

whitch is 1,409,240 (and that is your answer)

A training field is formed by joining a rectangle and 2 semicircles. The rectangle is 89 m long and 66 m wide. Find the area of the training field. Use the value 3.14 for pie, and do not round your answer. Be sure to include the correct unit in your answer.​

Answers

The answer is 6966.14 meters

Step 1: break the shape into 2, a rectangle and a circle and first find the area of the rectangle ( l x w or 89 x 66)

Step 2: now that we know that the area of the rectangle is 5874 we find the area of the circle (3.14 x radius^2), the diameter is 66, and the radius is 33 (diameter divided by 2)

Now that we know both the rectangle (5874 meters) and circles (1092.14 meters) we add them and get 6966.14


I hope this helps if I made a mistake pls let me know

Chapman's Cheese factory packs assorted cheese into 100-slice boxes.

The factory has 150 slices of cheddar, 309 slices of swiss, and 147 slices of
parmesan.

How many boxes of cheese can it make?

Answers

hello,

the answer would be 6 boxes

Wednesday there were 2 clients who did Plan A and 12 who did Plan B. On Thursday there were 5 clients who did Plan A and 3 who did Plan B. Jane trained for a total of 19 hours on Wednesday and 7 hours on Thursday. How does each plan last?

Answers

Answer:

they would be about an hour

Step-by-step explanation:

2. Given the system shown below do the following: y = 1/2x - 2 y = -3x + 5 solve this system graphically using the grid shown solve this system by substituting ​

Answers

Answer:

~Shoto todoroki here~

I think this would be your solved equation, -3x+5 making your X intercepts at: (5/3, 0) and your Y intercepts at: (0, 5)

The equation has Unique Solution.

What is solution of equation?

The solution to a linear equation is the point at which the lines that represent the intersection of two linear equations are defined. In other words, the solution set for the system of linear equations is the set of all possible values for the variables that satisfy the given linear equation.

There are three ways to solve the set of linear equations.

Unique Solution, No Solution and Infinitely Many Solutions.

Given y = 1/2x - 2

x   0    4

y   -2    0

y = -3x + 5

x   0    2

y   5    -1

the graph is attached

solving by substitution

y = 1/2x - 2

y = -3x + 5

both equations are equal for y

1/2x -2 = -3x + 5

1/2x + 3x = 5 + 2

7/2x = 7

x = 2

and at x =2 y = -1

equation intersect at (2, -1) and have unique solution.

Hence there is Unique Solution for equations.

Learn more about solution of equation;

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The Music Express has $72,000 to spend on the music bundles. If it buys
more pop bundles than rock bundles, how many bundles of each type of
music can The Music Express buy while getting closest to the budget of
$72,000? Explain.

Answers

Answer:

It Depend on how much the pop bundles/ rock bundles cost you need those numbers before you can dertermine the answer.

Step-by-step explanation:

A function, f(x), has a domain of −10≤x≤20 and range −40≤f(x)≤−10.

f(1)=−13
f(−10)=−40
Select each statement that must be false about f(x).


f(5)= - 40

f(0)=0
f(−15)=−20

f(1)=13

f(−9)=88

Answers

Answer:

all of them are false

Step-by-step explanation:

i know

Help urgently tired of post every 5 min

Answers

Answer:

A. 12.78

Step-by-step explanation:

4 shirts for 21.83 = 87.32

87.32 + 42.38 + 74.78 = 204.48

204.48 x 0.0625 = 12.78

The answer is A, $12.78.


The complete total of the items is $204.48.
And 6.25% of that would be $12.78. I hope this helped.

Is this correct?

Draw and label a triangle that is similar to the one pictured below.

Answers

I think it is hope this helps

Triangle ΔABC has side lengths of a = 18, b=[tex]18\sqrt{3}[/tex], and c = 36 inches.

Part A: Determine the measure of angle A.

Part B: Show how to use the unit circle to find tan A.

Part C: Calculate the area of ΔABC.

Answers

Answer:

Step-by-step explanation:

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