In ABC the measure of the largest angle 32 less than 3 time the smallest angle the measure of the middle angle is 8 more than half the measure of the largest angle . What is the measure of the middle angle?

Answers

Answer 1

Answer: The measure of the middle angle = 52°

Step-by-step explanation:

Let x = Smallest angle.

largest angle = [tex]3x-32[/tex]

Middle angle= [tex]8+\dfrac12 (3x-32)[/tex]

Sum of all angles in a triangle is 180 degrees.

So, Smallest angle+ largest angle+ Middle angle = 180°

[tex]\Rightarrow\ x+8+\dfrac12 (3x-32)+3x-32=180\\\\\Rightarrow\ 4x-24+\dfrac{3x}{2}-16=180\\\\\Rightarrow\ \dfrac{2\times4x+3x}{2}-40=180\\\\\Rightarrow\ \dfrac{11x}{2}-40=180\\\\\Rightarrow\ \dfrac{11x}{2}=220\\\\\Rightarrow\ x=\dfrac{220\times2}{11}\\\\\Rightarrow\ x= 40[/tex]

Now , Middle angle= [tex]8+\dfrac12 (3(40)-32)=8+\dfrac12 (120-32)[/tex]

[tex]=8+\dfrac12 (88)\\\\=8+44\\\\=52[/tex]

Hence, the measure of the middle angle = 52°


Related Questions

Three Variables LINEAR EQUATION​

Answers

Answer:

x= 1, y= -2, z= 5

Step-by-step explanation:

Please see the attached picture for the full solution.

NEED ASAP


Select the THREE expressions that are equivalent to -2(4 – 3x) + (5x – 2).

A) 2x – 10
B) 11x – 10
C) -8 + 11x – 2
D) -8 – 11x – 2
E) -8 + 6x + 5x – 2
F) -8 – 3x + 5x – 2

Answers

Answer:

B , C ,E

Step-by-step explanation:

Open the brackets

= -8+6x+5x-2

= -8+11x-2

= 11x-10

options. E, C and B respectively

Answer:

(B). 11x - 10 ; (C). - 8 + 11x - 2 ; (E). - 8 + 6x + 5x - 2

Step-by-step explanation:

- 2(4 - 3x) + (5x - 2) = - 8 + 6x + 5x - 2 = - 8 + 11x - 2 = 11x - 10  

10t-19=7t-14
what does t=​

Answers

10t-19=7t-14
+19. +19
10t=7t+5
-7. -7
3t=5
—.—-
3. 3
t= 1.6, or rounded 2

Answer:

t = [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

10t - 19 = 7t - 14

Subtract 7t from both sides;

3t - 19 = -14

Add 19 to both sides;

3t = 5

Divide both sides by 3;

t = [tex]\frac{5}{3}[/tex]

which equation represents a line which is perpendicular to the line y=4/3x - 7?

a. 3x + 4y = 8
b.4x + 3y = -6
c. 4x - 3y = 24
d. 4y - 3x = 12

Answers

A! Because perpendicular lines are the reciprocal slope of the given equation! so it would b y= -3/4+8

What is f(4) for the function f(x) = 6x +3?
f(4)=0

Answers

F(4)=6(4) +3
= 24+3=27
F(4)=27.

The value of function  f(4) is 27.

It is required to find the value of function  f(4).

What is function?

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given that:

The function is

f(x) = 6x +3

Now put the value x=4 in the given function, we get

f(4)=6(4) +3

= 24+3

=27

f(4)=27.

Hence, the value of function  f(4) is 27.

Learn more about function here:

https://brainly.com/question/19013514

#SPJ2

Which of the following polynomial functions is graphed below?

Answers

Answer: B. f(x)=(x+4)(x-2)^2(x+3)

Step-by-step explanation:

in the graph there's two negative x value and one positive x value

so the function should be in a form of f(x)= (x+a) (x-b)^2 (x+c)

the one with negative value has a square, (x-b)^{2}, because that's where the y = 0 (the point is hitting the (x,0))

Answer: B

Step-by-step explanation:

PLEASE ANSWER AS SOON AS POSSIBLE!

Answers

The y- intercept has to be a point in the line where x is 0. Which means that in this case it would be -4.
To find the slope, use the formula: rise over run —> y2 - y1/x2 - x1
Choose any two coordinates and plug them in. Then simplify. Let me know if you have any questions by commenting:)
Hope I helped:)

Isaiah is mowing lawns for a summer job for every mountain Charlie charges an initial fee of $10 plus $6 dollars for each additional hour

1. write an equation in slope intercept form
2. how much money does he make after working one job for four hours

Answers

Answer:

y = 6x + 10

Isaiah makes $34.00 after working for 4 hours.

Step-by-step explanation:

Slope intercept form is y=mx+b

In this situation the equation would look like so, x = amount of hours:

y = 6x + 10

To solve for how much Isaiah earns after 4 hours plug in 4 instead of x.

y = 6(4) + 10

y = 24 + 10

y = 34

Isaiah makes $34.00 after working for 4 hours.

Hope that helps and have a great day!

Which of the following is not a function
B is not right​

Answers

Answer:

The first one

Step-by-step explanation:

They have 2 outputs for the same input

A.

A function cannot have the more than one of the same x-values (x= 2 y=4, x=2 y=5), but you can have more than one of the same y-value as long as it’s a diff x-value (x=2 y=5, x=3 y=5)

(0, -15), (-12, 18)
Can some one find the slope

Answers

Answer:

use this formula the answer is down below.

[tex]\frac{ysub2-ysub1}{xsub2-xsub1}[/tex]

Step-by-step explanation:

this is y.   -15-18= -33

this is x.    0--12 (so in this case you would add 12)

the slope is -33/12

How many eighth notes do you need to total the amount of a half note

Answers

Answer:

Four eighth notes

Four eighth notes equal one half note in duration and eight eighth notes equal one whole note.

Step-by-step explanation:

Hope this helps, If it did, then I would really appreciate it if you gave me Brainliest, I only need one more to rank up and it has taken forever to get to where I am currently. Thanks.

9. y + 7 = 2(x + 5)
in standard form

Answers

Answer:

y=2x+3

Step-by-step explanation:

1. y+7=2(x+5) (rewrite the problem)

2. y+7=2x+10 (distribute the 2)

3. y=2x+3 (subtract 7 from both sides; 10-7=3)

Evaluate the expression 5c-2 for c=5.
help

Answers

Answer:

= 23

Step-by-step explanation:

(5) (5) - 2 ( multiply )

= 5 * 5 = 25

( subtract ) 25 - 2 = 23

7th grade math help me plzzzzz

Answers

2 maybe i have no idea sorry
sorry either 1 or 2.

Please answer correctly !!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x= 53 and y= 143

Step-by-step explanation:

x= 90-37

x= 53

y= 53+90

y= 143

Identify the property on this equation 5(a + 3b) = 5a + 15b

Answers

Answer:

??????????????????????

Step-by-step explanation:

Answer: Distributive Property

The term "distribution" is also used in place of "distributive"

This property says

x*(y+z) = x*y + x*z

We multiply the outer term x with each inner term (y and z). Then we add the results.

In this case,

x = 5

y = a

z = 3b

So,

5(a+3b) = 5*a + 5*3b = 5a+15b

Hi guys can you please help me with this problem please ill mark brainiest

Answers

The answer is  y= 23/4


5. Explain how you would classify if a square root is rational or irrational.

Answers

Answer:

if its not a perfect square(like u can't square it) then its irrational

The gas tank in sampson car has a capacity of 19.1 gallons . on a Tripp to see his cousin , Sampson begins with 12.8 gallons if gas in the tank he stops after driving for 2 hours and fills the tank to capacity with 14.4 gallons. When sampson arrives at his cousins house he has 3.7 gallons of gas left. How much gas , did sampson use on his trip

Answers

Answer:

23.5 gallons

Step-by-step explanation:

The gas tank in Daniel's car has a capacity of 19.1 gallons.  

On a trip to see his best friend Daniel begins with 12.8 gallons of gas in the tank.  

He stops after driving for 2 hours and fills the tank to capacity with 14.4 gallons.  

When Daniel arrives at his friend's house, he has 3.7 gallons of gas left.  

Total amount of gas filled was (12.8 + 14.4) = 27.2 gallons.

The amount of gas remaining after the trip was 3.7 gallons

The amount of gas, in gallons, used by Daniel on his trip was 27.2 - 3.7 = 23.5 gallons

Answer:

fat nuts

Step-by-step explanation:

i forgor

Olivia went to buy shoes at the mall. The shoes cost $55. If tax was 8%, how much did Olivia pay in all? i don't understand it

Answers

Answer:

$59.40

Step-by-step explanation:

8% is equal to 0.08

since you are adding the tax to the original cost you will multiply 55 by 1.08 to get the cost of the shoes plus the tax.

Answer:

55 times .8 =44$

Step-by-step explanation:

Mr. Richard plans to take 25 students on a school trip. They plan to go to Zoo. The bus fee is $100 for the entire trip. Entrance fee is $2.50 per person. How much should each student pay? Note: Mr. Richard does not need to pay.

Answers

Answer:

$162.50

Step-by-step explanation:

+$100

25x2.50= $62.50

+$62.50

100+62.50=162.50

Answer:

Each student should pay $6.50

Step-by-step explanation:

The question is not very clear.

If Mr. Richard has to pay to enter:

Total cost = $100 + ($2.50×26) = $165

Cost per student = [tex]\frac{165}{25}[/tex] = $6.60

Each student should pay $6.60

If Mr. Richard doesn't have to pay to enter:

Total cost = $100 + ($2.50×25) = $162.5

Cost per student = [tex]\frac{162.5}{25}[/tex] = $6.50

Each student should pay $6.50

Please HURRY I need to get this turned in.....
7. Of the three explanations below, which person gives the best explanation of why the LSRL is the best line of best fit?
Explain your choice.
Thomas: The LSRL is the best line of
best fit because it touches the most
points on a scatterplot when graphed.

Keene: The LSRL is the best line of best fit
because it has the smallest value for all the
squared residuals added together.

Ella: The LSRL is the best line of best fit because the sum of the residuals is closest to zero when they are all
added together.

Answers

Answer:

Ella

Step-by-step explanation:

IT goes more into detail on why the LSRL is best line of fit

An independent study commissioned by the stadium showed that running a cable TV ad 5 times daily for a week generated 1,200 ticket sales. The stadium wants to sell out an upcoming show, which requires the sale of 13,200 tickets. How long should the stadium run the cable ad in order to reach this target?

Answers

Answer

I think 55 times

Step-by-step explanation:

13,200/1,200 = 11

5/1200 =  x/13,200

so if 1,200*11=13, 200 then 5*11= 55.

btw , could u give me the brainliest if i am right?

The total time the stadium runs the cable ad in order to reach this target is 11 days and this can be determined by using the unitary method.

Given :

Running a cable TV ad 5 times daily for a week generated 1,200 ticket sales. The stadium wants to sell out an upcoming show, which requires the sale of 13,200 tickets.

The following steps can be used in order to determine the total times the stadium run the cable ad in order to reach this target:

Step 1 - The unitary method can be used in order to determine the total times the stadium runs the cable ad in order to reach this target.

Step 2 - According to the given data, running a cable TV ad 5 times daily for a week generated 1,200 ticket sales.

Step 3 - If running TV ad 5 times daily sales 1200 tickets then to sell 13200 tickets the total times the ad is running is:

[tex]=\dfrac{13200}{1200}\times 5[/tex]

= 55 times

Step 4 - Now, if 5 times ad running in one day then 55 times ad running in:

[tex]=\dfrac{55}{5}\times 1[/tex]

= 11 days

For more information, refer to the link given below:

https://brainly.com/question/25834626

Beth describes her current location: "I'm directly south of the theater, halfway to the restaurant." Plot the point representing Beth's location.

Answers

Answer:

Plot it at (4,-0.5)

Step-by-step explanation:

Answer:

-4, -0.5

Step-by-step explanation:

Find the area of this parallelogram.
5 cm height
7 cm width​

Answers

Answer:

35 cm^2

Step-by-step explanation:

To find the area you need to find the width and height which we have.

Now all you need to do is to use the formula Height x Width= area

so replace height with 5 cm and width with 7 cm

5 cm x 7 cm = area

5 times 7 is 35 so the area of the parallelogram is 35 cm^2 (cm times cm is cm^2)

Hope this helps!

Answer:

its either 35 or 70

Step-by-step explanation:

multiply 5 and 7 to get 35 or multiply 5 x 7 twice and get 70 pls mark brainliest me nub

Slope of (-8,2) and (-8,-6)

Answers

Answer:

-8

Step-by-step explanation:

The answer is -8 hope this helps

You triple your account balance by making a deposit. Then you withdraw $125.00 to buy groceries. Your account is overdrawn $5.00 write an equation to find your account balance before you made the deposit

Answers

Answer:

3x - 125 = -5

Step-by-step explanation:

the 3 is the triple, x is the deposit and -125 is the withdrawn and -5 is what's left over in the bank account

-6 - 5 + 3 =

(worth 10 points)

Answers

Answer:

-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Mark me as brainliest

A number t increased by seventy

Answers

Answer: t + 70

Step-by-step explanation: increased means to add, so it would be adding 70 to a number, t.

A line with a positive slope is parallel to one of the lines shown. What is its slope? Use the graph shown below.

Answers

Answer:

2/5

Step-by-step explanation:

first select the line that is positive which is the purple one

slope = change in y / change in x

two clear points are (0,2) and (5,4)

so you do y2-y1 / x2-x1

=(4-2)/(5-0)

=2/5

so the slope is 2/5

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