in △ABC the measure of angle A is 2x + 3, the measure of angle B is 4x + 2, and the measure of angle C is 2x - 1. what are the measures of the angles?

Answers

Answer 1
All angles in a triangle add to 180. So, we must add all those expressions together and set them equal to 180.

2x+3+4x+2+2x-1=180
Now we combine like terms (2x+4x+3x is 8x, 3+2-1 is 4)
8x+4=180
Now subtract 4 from both sides (4-4 is 0, 180-4 is 176)
8x=176
Now divide both sides by 8.
x=22.

Now substitute 22 wherever you see x in each expression.

2x+3 = 2(22)+3 = 44+ 3 = 47
4x+2 = 4(22)+2 = 88+2 = 90
2x-1 = 2(22)-1 = 44-1 = 43

So the final answer is A=47°, B=90°, C=43°

To check, add these numbers together and see if they equal 180.

90+43+47 is 180, so the answers are correct.

Related Questions

H E L P pls and thank you :)

The estimate obtained from a sample of which size is likely to be closest to the actual parameter value of a population?
A. 84
B.112
C.12
D.184

Answers

Answer:

184 D

Step-by-step explanation:

A sample size of 184, is more likely to provide an estimate closest to the actual parameter value of the population.

Option D is the correct answer.

What is the population parameter?

It is typically unknown and can only be estimated using sample data.

The goal of statistical inference is to use the information in a sample to make inferences or d

A population parameter is a numerical value that describes a characteristic of a population, such as the mean or standard deviation.

We have,

The estimate obtained from a larger sample size is likely to be closer to the actual parameter value of a population.

This is because a larger sample size reduces the effects of sampling variability and random errors, resulting in a more accurate estimate of the population parameter.

Thus,

A sample size of 184, is more likely to provide an estimate closest to the actual parameter value of the population.

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given teach trig ratio as a fraction in simplest form:sin(N)

Answers

Answer:

Choice #1: sq rt 3/2

Step-by-step explanation:

cos N=8/PN

PN=16

tan N=PO/8

PO=13.86

sin N=13.86/16=0.866=sq rt 3/2

Please help me out thank you.​

Answers

its A

Step-by-step explanation:

Answer:

_____________

What are the answers? i’m not sure how to solve this.

Answers

the answer is 23 feet because i just took the test


find JQ if Q is the incenter of JLN

Answers

Answer:

Find each measure. 9. NP. ANSWER: 14. 10. PS.

Step-by-step explanation:

The length of JQ is 18.79 unit.

What is Pythagoras theorem?

According to the Pythagoras theorem, a triangle's hypotenuse square equals the sum of its other two sides' squares.

Given:

Q is the incenter of JLN

QP= QK= QM= 9 units

Now, In Δ JPQ

JP= 16.5, QP =9 , QP⊥ JP

So, JQ = √JP² + QP²

JQ= √16.5²+ 9 ²

JQ= 18.79 units

Hence, the length of JQ is 18.79 unit.

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I need only help on 11-14 please someone help me

Answers

Linear function definition: a function that will create a straight line when graphed.

11 is not a linear function (not a straight line), but 12 is.

For the tables, you can either plot out the graph or just look at the number patterns. A linear function's numbers will always increase/decrease accordingly at a constant rate. For example, in 14, you notice that as x increases by 1, y decreases by 2. This means it is a linear graph.

In 13, as x increases by 1, the output y increases but at a different rate each time. It increased by 3 at first, then 5, then 7. Hence, it is not a linear function. What is it then? It is an exponential function.

Write the equation of the line in slope-intercept form that goes through the points (4, -2) and (8, -9)

Answers

Answer:

y = 17/6 x - 40/3

Step-by-step explanation:

Slope-intercept form: y = mx + b

First, let's find the slope:

slope formula: (y2-y1) divded by (x2-x1)

(4, -2) and (8, -9)

(-9 - 8) divded by (-2 - 4) = 17/6

We found m, now we have to find b.

The new equation: y = 17/6 x + b

Insert any of the two points, in this case, I'll insert (4, -2)

-2 = 17/6 (4) + b

-2 = 68/6 + b

b = -2 - 68/6

b = -40/3

Overall equation: y = 17/6 x - 40/3

y = -7/4 + 5

Steps are on paper.

''This graph shows parabola y=ax^2+bx+c. What is the possible value of a?''

Answers

I’m not 100% sure so sorry if it’s wrong but I think it’s 3/2

Two side of a triangle have the following measure 11 and 12. Find the range of possible measure for the third side.

A) 2 B) 3 C) 1 D) 1

Answers

3 i’m pretty sure !


John earns $7.50 per hour at his job. Becky's earnings are given by the equation P = 8.25x, where P is her
total earnings, in dollars, and x is the number of hours worked. If they each work 9 hours, who earns more
and how much more

Answers

in 9 hours
john earns $67.5
becky earns $74.25
becky earns $6.75 more than john

hhhheeeepppp pleas e e e e e e e e e e e e e e branlist

Answers

Answer:

27

Step-by-step explanation:

a+b/2 times h

thats teh formula for the area of a trapezoid so a and b are the top and bottom sides of the trapezoid

so 6 on the bottom and 3 on the top

add those and it equals 9 then divide by 2 gives us 9/2

then the height would be 6

so we multiply 9/2 by 6 giving us 54/2

simplified equals 27 so ur answer would be 27 units squared

Answer:27

Step-by-step explanation:

a. On the map of Arkansas shown, find the actual distance between Clarksville and Little Rock. Use a ruler to measure.​

Answers

Answer:

1cm/20mi = 4cm/x

1x = 80

x = 80

The answer is 80 miles

Which Paris of triangle must be similar?

Answers

Triangles 1 and 2 are equilateral

PLEASE HURRY!!!
The probability of landing on blue when spinning a spinner is 4/5 choose the likelihood that best describes the probability of this event
A. Neither likely nor unlikely
B. Unlikely
C. Certain
D. Likely

Answers

Answer:likely tell me if im wrong

Probability helps us to know the chances of an event occurring. The likelihood that best describes the probability of this event is Likely.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given the probability of landing on blue when spinning a spinner is 4/5, therefore, there are 80% chances that the spinner will land on blue.

Hence, the likelihood that best describes the probability of this event is Likely.

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Tamika is ordering a taxi from an online taxi service. The taxi charges $3.50 just for the pickup and then an additional $0.75 per mile driven. How much would a taxi ride cost if Tamika is riding for 5 miles? How much would a taxi ride cost that is m miles long?

Answers

Answer:

m= 7.50

Step-by-step explanation:

0.75x5=4.00

4.00+3.50=7.50

A taxi ride cost if Tamika is riding for 5 miles will be $7.25.

What is Linear function?

A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.

Given, Tamika is ordering a taxi from an online taxi service. The taxi charges $3.50 just for the pickup and then an additional $0.75 per mile driven.

Let "m" be the miles Tamika is riding along.

Total additional charges = m *0.75

pick up charges = 3.50

So, Total charges Tamika has to pay for m miles = 0.75*m + 3.50

For m = 5 miles

Tamika has to pay for 5 miles = 0.75 * 5 + 3.50

Tamika has to pay for 5 miles = 7.25

Therefore, 7.25$ would a taxi ride cost if Tamika is riding for 5 miles.

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show graph of f(-x+2)

Answers

this is the graph but it’s a bit cropped

The table gives the costs for organizing Field Day at a Middle School. Thirty-two students will attend the event.



Expense:

Total Cost ($):

Supplies

$272.64

Announcer

$168.84

Refreshments

$113.40



What is the cost per student for this event?




What is the cost per student for supplies only?

Answers

total cost for all events is 554.88

What will be the cost of the paving if cement costs $26.50 per square metre?

Answers

Answer:

hey

Step-by-step explanation:

A square is cut diagonally into two equal parts. If each part has an area of 50 cm^2, then what is the perimeter of each part?

I tried it isn't 30 cm

Answers

Answer:

30cm

Step-by-step explanation:

Given data

When are square is cut diagonally into two parts

The resulting shape is a triangle

hence the area of the square = 50+50 = 100cm^2

The length of each side of the square = √100= 10cm

likewise the diagonal of the square = 10cm

Hence the perimeter of the resulting triangle= 10+10+10= 30cm

On a coordinate map of Melville, a restaurant is located at (-6,-5). A laundry business is located 3 units to
the left of the restaurant on the map.
What are the map coordinates of the laundry business?
The coordinates of the laundry business are

Answers

Answer:

(-9, -5)

Step-by-step explanation:

H
(3n - 15)°
(2n + 5)º
E
F
G
What is the value of n ?

Answers

I’m not good at math but I’ll help you the value of n is 20

If x is the least common multiple of the set {6, 8, 12} and y is the greatest common factor
of the set {20, 42, 72), what is the value of x/y ?

Answers

Answer:

12

Step-by-step explanation:

The least common multiple of {6,8,12} is 24. This can be intuitively figured by noting that any multiple of 12 is a multiple of 6 and that 12 is 1.5x larger than 8. That means we only have so multiple 12 by 2 and 8 by 3 for them to be equal. The GCF of {20,42,72} is 2 as the prime factorization of 20 is 2x2x5 and 42 is 2x3x7. That means even without having to check 72 (which is clearly even so 2 is a factor), we know that 2 is the greatest common factor that they could share. So X/Y = 24/2 = 12

helpp PLSSS 20 PONITS!!​

Answers

Answer:

c I think

Step-by-step explanation:

can you help me with this question In Lines 23 and 24 of his poem "Chicago", Sandburg uses which poetic device? A Simile - a comparison of two unlike things using "like" or "as" B. Metaphor - a comparison of two unlike objects C. Repetition

Answer: 20

Step-by-step explanation: I LOVE THIS I HATE THIS I CAN SEE THIS SO I JUST GEUSSED HOPE IT IS RIGHT BYE

X+ 6
X+ 3
=
x + 2
x-5
a.
I = x
c.
X= -9
b.
S = x
d. x= -8

Answers

Step-by-step explanation:

x+6/x+2=x+3/x-5 x<>2 and x<>5

(x+6)(x-5)=(x+3)(x+2)

x2-5x+6x-30=x2+2x+3x+6

-5x+6x-30=2x+3x+6

x-30=5x+6

x-5x=6+30

-4x=36

x=-9

Note* x2=x in the power of 2

WILL MARK BRAINLIEST!

Answers

the answer is c.......

If a varies directly as the cube root of b and if a=3 and b=64.find the formula connecting the variables hence find b when a=15/4

Answers

Answer:

b = 125

Step-by-step explanation:

Given a varies directly as [tex]\sqrt[3]{b}[/tex] then the equation relating them is

a = k[tex]\sqrt[3]{b}[/tex] ← k is the constant of variation

To find k use the condition a = 3 , b = 64 , then

3 = k[tex]\sqrt[3]{64}[/tex] = 4k ( divide both sides by 4 )

[tex]\frac{3}{4}[/tex] = k

a = [tex]\frac{3}{4}[/tex] [tex]\sqrt[3]{b}[/tex] ← equation of variation

When a = [tex]\frac{15}{4}[/tex] , then

[tex]\frac{15}{4}[/tex] = [tex]\frac{3}{4}[/tex] [tex]\sqrt[3]{b}[/tex] ( multiply both sides by 4 to clear the fractions )

15 = 3[tex]\sqrt[3]{b}[/tex] ( divide both sides by 3 )

5 = [tex]\sqrt[3]{b}[/tex] , then

b = 5³ = 125

Can someone help me on this is for today pls!!!

Answers

Answer:

C

Step-by-step explanation:

The answer must be in square inches, not inches, so a and b are automatically wrong.

Couple of ways of doing it - the large triangles are congruent, so the area of each is the same. Since the area of a triangle is 1/2 base times height, the area of the 2 large triangles is just base times height, which is 18 * 11 or 198

Same principle for the smaller triangles at the top, area is 8 times 11, or 88. Add them up, you get 286 sq inches.

I need major help! Please answer

Answers

Answer:

The answer is (3,5)

Step-by-step explanation:

Sana Maka tulong

is 8 x 2/8 less than 8 or greater than 8

Answers

it is less because 8(2/8) would equal 2

Answer: yes if is

Step-by-step explanation:

What is the value of the 8th term of the sequence 4, 8, 16, 32, ...?

128
2,048
512
1,024

Answers

Answer:

512

Step-by-step explanation:

512
Just keep doubling it and the 8th time it will be 512.
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