Use the information to answer the following question.


The angle measures of a triangle are shown.


Angle A: (5x – 5) degrees

Angle B: (3x + 3) degrees

Angle C: (5x) degrees

The sum of the measures of the three angles is equal to
180
°. What is the measure of Angle B? Explain

Answers

Answer 1

Answer:

Angle A

Step-by-step explanation:

subtract 3x and 5x

you get 2x

-5-3=

you get -8

divide -8/2x

x=-4

Answer 2

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Sum of the measures is equal to 180° .

So :

[tex]Angle \: \: A + Angle \: \: B + Angle \: \: C = 180 \\ [/tex]

Thus :

[tex](5x - 5) + (3 x + 3) + (5x) = 180 \\ [/tex]

Collect like terms

[tex]13x - 2 = 180[/tex]

Add sides 2

[tex]13x - 2 + 2 = 180 + 2[/tex]

[tex]13x = 182[/tex]

Divide sides by 13

[tex] \frac{13x}{13} = \frac{182}{13} \\ [/tex]

[tex]x = 14[/tex]

_________________________________

[tex]Angle \: \: B = 3x + 3[/tex]

[tex]Angle \: \: B = 3(14) + 3[/tex]

[tex]Angle \: \: B = 42 + 3[/tex]

[tex] Angle \: \: B = 45°[/tex]

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Related Questions

You are going to a bowling alley and have $10 to spend. Renting bowling shoes cost $1.50. Each game cost $2.
A. Write an equation that can be used to find out the number of games you can bowl.
B. Solve it.

Answers

Answer:

6.50

Step-by-step explanation:

10.00[tex]10.00 - 1.50 - 8.50 - 2.00 = 6.50[/tex]

31 = - (1 +6p ) +4(p + 6 )

Answers

Answer:

p = -4

                                                                                                                 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answer:

p = -4

Step-by-step explanation:

I'm not going to explain each step, just try to follow along.

31 = -(1+6p)+4(p+6)

31 = -1-6p+4p+24

7 = -1-2p

8 = -2p

p = -4

I hope this helps!

Which inequality represents all the solutions of -5x + 5 ≥ 160 − 10x? A. x ≤ -33 B. x ≥ 33 C. x ≥ 31 D. x ≤ 31

Answers

Answer:

The answer is B.

Step-by-step explanation:

Solve for x.

-5x + 5 [tex]\geq[/tex] 160 - 10x

Add 10x to both sides, and subtract 5 from both sides.

5x [tex]\geq[/tex] 155

Now, divide by 5.

x [tex]\geq[/tex] 31          is the answer

#teamtrees #WAP (Water And Plant)

The inequality represents all the solutions x ≥ 31. Then the correct option is C.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given as,

−5x + 5 ≥ 160 − 10x

Simplify the equation, we have

10x – 5x ≥ 160 – 5

         5x ≥ 155

           x ≥ 31

Then the correct option is C.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

please please answer .

Answers

Answer:

1025

Step-by-step explanation:

Which of the following quantities is a velocity?
A. 25m/s
B. 3g/L in weight
C. 15m/s2
D. 10km/he eastward

Answers

Answer:

A

Step-by-step explanation:

Eliza bought a video game for $39.99. Sales tax is 7%. How much money in total does she need to give the cashier?

Answers

Find 7 percent of 39.99 which is approximately 2.80. Then you add it which gives you 42.79

Which of the following units are units of capacity?
A)ml
B)mm
C)tonne
D)mg
E)cl
F)kg
G)cm
H)km
I)m
j)g
K)l

Answers

Answer:

A, D, E, F, J, and L

Explanation :

These units can hold things!

What is the slope of the line that contains these points?
x 9 13 17 21
y -24 -21 -18 -15

Answers

Answer: m=3/4

Step-by-step explanation:

Looking at the table given, we can assume two of the points are (9,-24) and (13,-21). To find the slope with given points, we use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. We can plug the two points in and solve.

[tex]m=\frac{-21-(-24)}{13-9} =\frac{3}{4}[/tex]

Now, we know that the slope is 3/4.

Answer:

slope = 3/4

Step-by-step explanation:

The furniture store bought a table for $200, and sold it for $350. What was the percent increase of the price of the table.

Answers

Answer:

it was

Step-by-step explanation:

150 are dumb..

en una caja hay 8 canicas cinco rojas y tres verdes y la Bola que se retira no se reemplaza determina Cuál es la probabilidad de sacar dos bolas verdes​

Answers

Answer: 0.107

Step-by-step explanation:

En una caja tenemos 8 canicas.

5 son rojas

3 son verdes.

Se retira una canica, y no se remplaza.

Quiero calcular la probabilidad de sacar dos canicas verdes.

La probabilidad de sacar una canica verde en el primer intento, es igual al cociente entre el numero de canicas verdes y el numero total de canicas.

p1 = 3/8  

Ahora, en el segundo intento, en la caja voy a tener 2 canicas verdes (por que ya saque una) y 7 canicas en total. Entonces la probabilidad va a ser:

p2 = 2/7.

Y la probabilidad conjunta (es decir, la probabilidad de sacar las dos canicas de color verde) va a ser igual al producto de las probabilidades individuales.

P = p1*p2 = (3/8)*(2/7) = 0.107

Who is correct
Thanks who ever helps me!!!

Answers

Answer:

Benett

Step-by-step explanation:

Answer: Betty

Step-by-step explanation:

Bennet isn't correct because we can plug in 300 for r. It will become 300= 50t, and solving for t, we get that it would take 6 minutes.

Betty is correct because we can change the variables r and t to y and x respectively. In this case, 50 would be the constant of proportionality, or k.

The distance of a golf ball from the hole can be represented by the right side of a parabola with vertex (−1, 8). The ball reaches the hole 1 second after it is hit, at time 0. What is the equation of the parabola, in vertex form, that represents the ball's distance from the hole, y, at time x

Answers

Answer:

The required equation is:

[tex]y = -\frac{4}{3}t^2 -\frac{8}{3}t + 4[/tex]

Explanation:

Let us assume that the hole is at y = 0m, with x as the time.

From the question we have (-1s, 8m) as the vertex (here x being the time variable is supposed to be in seconds and y being the distance variable is supposed to be in meters)

At x = 1s, the ball gets to the hole, therefore we have point (1s, 0m)

We know that the vertex of the parabola y = ax² + bx + c is at

[tex]x =\frac{-b}{2a}[/tex]

therefore we have:

[tex]-1 = \frac{-b}{2a}[/tex]

We then have the following equations:

[tex]8 = a\times -1^2 + b\times -1 + c[/tex]

[tex]0 = a\times -1^2 + b\times 1 + c[/tex]

[tex]-1 = \frac{-b}{2a}[/tex]

From the 3rd equation we have

1 X 2a = b.

Therefore we have:

[tex]8 = a\times -1^2 - 1\times 2a\times1 + c[/tex]

[tex]0 = a\times 1^2 + 1 \times2a\times 1 + c[/tex]

We can simplify both equations and get:

[tex]8 = a\times( -1^2 - 2s^2) + c = -a\times 3^2 + c[/tex]

[tex]0 = a\times(1^2 + 2^2) + c = a\times 3^2 + c[/tex]

The first equation now becomes:

[tex]8 = -a\times 3 - a\times 3 = -a\times 6[/tex]

[tex]a = frac{8}{-6} = -\frac{4}{3}[/tex]

With a, we can find the values of c and b.

[tex]c = -a\times3 = -(-\frac{4}{3})*3 = 4 [/tex]

[tex]b = 1\times 2a = 1\times 2(-\frac{4}{3})= -\frac{8}{3}[/tex]

Then the equation is:

[tex]y = -\frac{4}{3}t^2 -\frac{8}{3}t + 4[/tex]

The graph shows a journey in a car. Which of the statements most likely describes the journey at the portion of the graph labeled J?

A line graph is drawn on the first quadrant of a coordinate plane. The x-axis is labeled Time in seconds, and the y-axis is labeled Distance in miles. The line graph is divided into 7 segments labeled I, J, K, L, M, N, and O. I starts at the origin and is a straight line slanting up. J is a line segment that starts at the end of I and is horizontal. K is a curve that starts at the end of J and curves up. L is a straight line that starts at the end of K and is horizontal. M is a straight line that starts at the end of L and slopes down. N is a straight line that starts at the end of M and is horizontal. O is a curve that starts at the end of N and curves down to finally touch the x-axis.

The car continues its journey because the portion shows a linear function.
The car is waiting at the starting point because the portion shows a constant function.
The car is traveling the same distance per unit of time because the portion shows a linear function away from the starting point.
The car stops at a distance away from the starting point because the portion shows a constant function away from the starting point.

Answers

Answer: Your answer my friend is D, The car stops a distance away from the starting point because the portion shows a constant function away from the starting point.

Step-by-step explanation:

The graph you have explained shows that at J it is a linear or horizonltal line. Whisch means the car is stopped for that period but it is not at the very beginning. Yw

Based on the information given regarding the graph, the correct option is D. The car stops at a distance away from the starting point because the portion shows a constant function away from the starting point.

Solving the graph.

From the information given, it was stated that the graph shows a journey in a car and that the x-axis is labeled Time in seconds, and the y-axis is labeled distance in miles.

Therefore, the statement that most likely describes the journey at the portion of the graph labeled J is that the car stops at a distance away from the starting point because the portion shows a constant function away from the starting point.

Learn more about graphs on:

https://brainly.com/question/26013847

Mrs. Petruzziello baked pizzas. 2 out of 10 of the pizzas are vegetarian. Her husband says this is 2%. Is he correct? How do you know. Show your answer using a model (tape diagram, double number line, grid).

Answers

He would be incorrect, what he is saying would be 2% and the answer is 20%

10 + 2 - 3 = 3(2 + 2)

Answers

Answer:

My answer is = 9 cannot equal 12. There are no variables present in this equation, so what are you solving for?

Step-by-step explanation:

On the right you would use distributive property and on the left you would just simply add and subtract.

However, you cannot equal it to zero either because there are no variables nor exponents.


PLSS HELP with 1 3 and 4

Answers

Answer:

1.) slope is 6

2.) slope is -4

4.)slope is undefined

Step-by-step explanation:

1.) For one we can use the equation y2-y1/ x2-x1

First, pick any 2 points that you want to use to plug into the equation

(0, -3) and (1, 3)

Next, plug in and solve!

3-(-3)/ 1-0= 6

The slope is 6

2.) We can use this same equation for the problem and plug in!

(-1, 5) (2,-7)

-7- 5/ 2-(-1)= -4

The slope is -4!

4.) Use the same equation and find the slope!

(8, 1) and (8, 2)

2-1/ 8-8= undefined

Because we cannot divide by a 0 the slope is undefined!

Determine the multiplicity of the roots of the
function k(x) = x(x + 2)3(x + 4)2(x − 5)4.

Answers

Answer:

1,3,2,4

Step-by-step explanation:

9. A contestant on a game show must guess the price of a new car. The contestant will

win if his guess is within $1000 of the price of the car. If the price of the car is

$24,995 and the contestant's guess is represented by g, what absolute value

inequality represents this situation?

Answers

Given :

A contestant on a game show must guess the price of a new car. The contestant will  win if his guess is within $1000 of the price of the car.

To Find :

If the price of the car is  $24,995 and the contestant's guess is represented by g, what absolute value  inequality represents this situation.

Solution :

Let, range in which participant guess would be considered correct is r.

So, r should be in range $( 24,995 ± 1000 ).

( 24,995 - 1000 ) ≤ r ≤ ( 24,995 + 1000 )

23,995 ≤ r ≤ 25,995

Therefore, the correct inequality is 23,995 ≤ r ≤ 25,995 .

Hence, this is the required solution.

4 more than the quotient 12 and a number x

Answers

More than means to add.

Quotient means to divide.

4 + (12/x)

The required expression is 4 + (12/x).

What is an expression?

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now the given statement is,

4 more than the quotient 12 and a number x

Now, converting the statement into numerical form.

Since more than is addition.

Thus, 4 more than = 4 +

and, quotient 12 and a number x = 12/x

Thus, 4 more than the quotient 12 and a number x  = 4 +  12/x

this is the required expression.

Thus, the required expression is 4 + (12/x).

To learn more about numerical expression:

brainly.com/question/21798279

#SPJ2

Which of the following is a rational number?
22, 23, 24, 25

Answers

Answer:

24

i think:)

Step-by-step explanation:


a) Name 2 different segments.
b) Name 2 different lines.
c) Name one angle
x
d) The name Angle A is too vague. Why?
e) What Kind of angle has less than 90 degrees?
f) Draw a right angle here.
8) Define supplementary angles.
b) Name AC in another way

Answers

Segment AD, line FC, Angle BEC, it is too vague because there is multiple different angles it could be, an acute angle is less than 90 degrees, a right angle is a straight line with a horizontal line coming off of it and a square in the corner to represent 90 degrees, supplementary angles are 2 angles whose sum adds to 180 degrees.

is -33 an integer? ​

Answers

Answer:

Yes

Step-by-step explanation:

An integer, also called a "round number" or “whole number,” is any positive or negative number that does not include decimal parts or fractions. For example, 3, -10, and 1,025 are all integers, but 2.76 (decimal), 1.5 (decimal), and 3 ½ (fraction) are not an integer.

HELP!!! 50 POINTS!! I WILL REPORT IMPROPER ANSWERS!!!

Answers

Answer & Explanation:

1.) Which function is a linear function?

   The answer is B. [tex]y+7=5x[/tex]

2.) If the function [tex]y=x^a-31[/tex] is a linear function, what is the value of [tex]a[/tex]?

   The answer is A. [tex]1[/tex]

3.) What type of function is the function representing Sully's speed?

   The answer is C. It is a nonlinear function.

hope this helps :)

Answer Key With The Given Explanation:

For question #1: Which Function is a linear equation?

      The correct option answer is B. [tex]y+7=5x.[/tex]

    2. For question #2: If the function [tex]y=x^{a}-31[/tex] is a linear function, what is the value of a?

      The correct option answer is A. 1.

   3. And last but not least is for question #3. What type of the function is the function representing Sully's speed?

      The correct option answer is C. It is a nonlinear function.

I hope my answer key with the given explanation is very helpful to your own question about the multiple choices of the linear functions and have a great rest of the day! :D

Sincerely,

Jason Ta,

The Ambitious of Brainly And The Role of The TDSB And WHCI Student of The High School.

Write 4(2z+5) in expanded form

Answers

Answer:

8z + 20

Step-by-step explanation:

f(z) = 4(2z+5)

     = 4*2z + 5*4

     = 8z + 20

Write the equation of a line that is parallel to the graph of y = − 7x − 9, and passing through the point (1, 10). SHOW ALL WORK!

Answers

Answer:

y = - 7x + 17

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 7x - 9 ← is in slope- intercept form

with slope m = - 7

Parallel lines have equal slopes, thus

y = - 7x + c ← is the partial equation

To find c substitute (1, 10) into the partial equation

10 = - 7 + c ⇒ c = 10 + 7 = 17

y = - 7x + 17 ← equation of parallel line

What’s 14/4 as a decimal

Answers

Answer:

3.5

Step-by-step explanation:

You would do 14 divided by 4! Hope this helped

Answer:

3.5

Step-by-step explanation:

14 divided by 4 equals 3.5

Does anyone know the answer

Answers

Answer:

i believe it’s c

Step-by-step explanation:

Answer:

[tex]\frac{4.2}{2.8}[/tex]

Step-by-step explanation:

since [tex]\frac{a}{b}[/tex] is proportional to [tex]\frac{2.1}{1.4}[/tex], then look at the answer choices.

I noticed the second option  [tex]\frac{4.2}{2.8}[/tex] is the answer because if you multiply by 2 you get this answer

Please help! I don't understand!

Answers

Answer:

F

Step-by-step explanation:

Answer: G.

Step-by-step explanation:

Just try it out please, I'm 99.9% sure about this answer.

Please help me out!​

Answers

Answer:

4/11=.363636....

I hope this is good enough:

Need help ASAP

solve the equation:
3(2x+5)= 3

What does x equal

- x=2
- x= -2
- x=6

Answers

the answer of the question is x= -2
Answer:x=-2Step-by-step explanation:3(2x+5)= 3divide both sides by 3=2x+5=1subtract 5 from both sides=2x=-4divide both sides by 2=x=-2

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