Angle PRS is 98 degree. It is made of two smaller angles. One smaller angle is 3x-8 and the other one is 2x+6. What is the measure of the smaller angle?

Answers

Answer 1

Answer:

46

Step-by-step explanation:

The sum of the two smaller angle measures is 98.

(2x + 6) + (3x - 8) = 98

Combine like terms.

5x - 2 = 98

5x = 100

x = 20

Plug this into the expressions for the two smaller angle measures.

2x + 6 = 2(20) + 6 = 46

3x - 8 = 3(20) - 8 = 52

The smaller of the two angles measures 46.


Related Questions

Pleaseeeeeeeeeeeeeeeeeeee

Answers

Answer:

∠DAB = 68

Step-by-step explanation:

∠DAB we need to find this

∠DAB = ∠C (vertically opposite angles are equal)

∠DAB = 68

Katrina bought a pizza that was cut into 8 equal pieces. She ate half of one piece. What fraction of the whole pizza did she eat?

Answers

She ate 1/8 because I did the answer

5x -4= 4x please help me

Answers

[tex]5x-4=4x\\\\5x-4x=4\\\\\huge\boxed{x=4}[/tex]

Answer:

4=x

Step-by-step explanation:

5x-4=4x

-4=-x

4=x

Let f(x) = 12 over the quantity of 4 x + 2. Find f(−1). (1 point)

Answers

Answer:

-6

Step-by-step explanation:

Hope I understand your "f(x) = 12 over the quantity of 4 x + 2" correctly

f(x) = 12 / 4x +2

Now so they want a f(-1), as u can see they substituted the x for - 1, therefor do that the same to the right side

f(-1) = 12/ 4(-1) + 2

f(-1) = 12 / - 4+2

= 12/ - 2

= - 6

6.004x10^5 in standard notation​

Answers

Answer:

600400

Step-by-step explanation:

The variables x and y are related proportionally. When x = 6, y = 14. Find y when x = 15.

Answers

Answer:

=>x=k/y

=>15=k/6

=>k=90

=>9=90/y

=>9y=90

=>y=10

Step-by-step explanation:

please make me brainllist

Members of a baseball team raised $1781.25 to go to a tournament. They rented a bus for $1063.50 and budgeted $65.25 per player for meals. Write and solve an equation which can be used to determine x x, the number of players the team can bring to the tournament.

Answers

Answer:x=11

65.25x + 1063.50= 1781.25

To solve this equation, subtract the rental cost of the bus to get $717.75.

Now the equation should be 65.25x= 717.75

Divide both sides by 65.25, and you should get that x = 11. That’s your finally answer!

Step-by-step explanation:

The graph of y = f(x) is graphed below. What is the end behavior of f(x) ?

Answers

Answer:

The first option, as x approaches infinity, y approaches infinity and as  x approaches negative infinity, y approaches negative infinity

Step-by-step explanation:

Considerando um atleta de 1,83 m e o ângulo de inclinação de 20 graus formada pela ponta da vara com o chão é correto afirmar que o comprimento aproximado da vara mede?

Answers

Resposta:

A vara mede 5,35 m.

Explicação:

[tex] \sin 20^\circ = \dfrac{1,83~m}{x} [/tex]

[tex] x = \dfrac{1,83~m}{\sin 20^\circ} [/tex]

[tex] x = 5,35~m [/tex]

The ratio of students to adults on a field trip is 7 to 1. Which table correctly represents this ratio?

Answers

Answer:

b

Step-by-step explanation:

its literally right there

Answer:

C

Step-by-step explanation:

For every 7 students there is one adult, so you just have to do your multiplcations of 7. If there are 3 adults, there's 21 students, if there are 6 adults, there's 42 students, etc.

HELP ME AS FAST AS POSSIBLE! 95 POINTS!!!

Choose the equation below that is equivalent to 4(x-7) -2(x+1) = -10


A. -2(x - 7) + (x + 1) = -5

B. -2(x - 7) + (x + 1) = 5

C. 2(x - 7) + (x + 1) = -5

D. 2(x - 7) - (x + 1) = 5

Answers

Answer:

B

Step-by-step explanation:

4 (x - 7) - 2 (x + 1) = 10

x = 10

B. -2 (x - 7) + (x + 1) = 5

x = 10

your equation is equivalent to B!

Answer: -2(x-7) +(x +1)= 5

Step-by-step explanation:

Please help, I can’t do this

Answers

Answer:

Choice 3. -4x-3<13

Step-by-step explanation:

First, you will use process of elimination and cross out any obvious wrong answers. You can see that the symbol would not be flipped yet so the "<" would be pointing  to less than. That eliminates choice 1 and 4. Now, You can observe the 3rd step and see that -4x<16, to get that, you would need a "-4x" in the equation. Number 2 is 2x so that can't be right. Therefore, the answer is choice 3. This simple process of elimination and looking for clues will help you greatly in multiple choice problems instead of solving it the hard way.

Answer: C

Step-by-step explanation:

[tex]-x-3 < 13+3x\\\\\Longleftrightarrow\ -x-3x-3 < 13\\\\this \ step \ is \ missing\ -4x-3 < 13\\\\\Longleftrightarrow\ -4x < 13 + 3\\\\\Longleftrightarrow\ -4x < 16\\\\\Longleftrightarrow\ 4x > -16\\\\\Longleftrightarrow\ x > -4\\\\Answer\ C[/tex]

I know the answer, I'm just confused on what to put for explore, plan, solve, and examine!

Joseph earned $53 the first week he worked at Jim’s Candy Store and $62 the next week. How much did Joseph earn his first two weeks?
Explore:
Plan:
Solve:
Examine:​

Answers

Answer:

Explore - ??? (What are you suppose to put for that (Add comment))

Plan - First week - 53 Second week - 62

Solve - 53 + 62 = 115

Examine - (Use a graph to see the rise?)

Step-by-step explanation:

Rewrite the equation in slope-intercept form. Then identify the slope and the y intercept of the line
4x + y = 1

Answers

4x = 1 - y ____eqn I

Answer:

see explanation

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 )

Given

4x + y = 1 ( subtract 4x from both sides )

y = - 4x + 1 ← in slope- intercept form

with slope m = - 4 and y- intercept c = 1

Find the LCM of 13 and 52.

LCM =
.

Answers

Answer:

Step-by-step explanation:

13 , 52

Here 13 is a prime number. So, check if 52 is  a multiple of 13.

Yes, 13*4 = 52

LCM = 52

Answer:

52

Step-by-step explanation:

L.C.M of 13 and 52 is,

13  | 13 , 52

4  |  1 , 4

     | 1 ,  1

L.C.M = 13 x 4 = 52

lilli has $3.65 comprised of quarters and dimes floating on the bottom of her bag she has five more dimes than twice her quarters how many each type of coin does she have? lol pls help

Answers

Answer:

7 quaters and 19 dimes

Step-by-step explanation:

Let say x the numbers of quaters,

2*x+5 the numbers of dimes

In cents,: 25*x+10*(2x+5)=365

25x+20x+50=365

45x=365-50

45x=315

x=7

Number of quaters: 7

Number of dimes: 2*7+5=19

Proof:

7*25+10*19=365

a=b-c
How do I write it as c=?
and the equation

Answers

Answer:

The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation they've given you to solve.

Step-by-step explanation:

Here, hope it helps :)

A polynomial f (x) has the given zeros of 8, –1, and –3.

Part A: Using the Factor Theorem, determine the polynomial f (x) in expanded form. Show all necessary calculations. (3 points)

Part B: Divide the polynomial f (x) by (x2 – x – 2) to create a rational function g(x) in simplest factored form. Determine g(x) and find its slant asymptote. (4 points)

Part C: List all locations and types of discontinuities of the function g(x). (3 points)

Answers

The answer is "[tex]\bold{x^3-4x^2-29x-24, y=x-3,\ and\ x=2}[/tex]" and following are the complete solution to the given parts:

For point A)[tex]\to \bold{f(x)=(x-8)(x+1)(x+3)=(x^2-7x-8)(x-8)=(x^3-4x^2-29x-24)}[/tex]For point B)

[tex]\to \bold{x^2-x-2=(x-2)(x+1)}\\\\\to \bold{g(x)=\frac{(x-8)(x+1)(x+3)}{(x-2)(x+1)}}[/tex]

When  [tex]x \neq -1[/tex] then  

[tex]\to \bold{g(x)=\frac{(x-8)(x+3)}{x-2}}\\\\\to \bold{\lim_{n \to \infty} \frac{g(x)}{x}}[/tex]

So  

For point C)

It is discontinuity when a [tex]\bold{x=2}[/tex] that is a vertical asymptote.

Learn more:

brainly.com/question/24520259

Answer:

Part A:

x^3 - 4x^2 - 29x -24

(x + 1)(x - 8)(x + 3)

Part B.

(x + 1)(x - 8)(x + 3) / x^2 - x - 2= (x + 3)(x - 8) / x - 2

g(x)=  (x + 3)(x - 8) / x - 2= y= x - 3

Part C.

x=2.

Step-by-step explanation:

See images for more information, it wouldn't let me post it.

How to solve -7+7s-3s-5-6-5s

Answers

Question:-

How to solve -7+7s-3s-5-6-5s

Answer:-

→ -7+7s-3s-5-6-5s

→ -7 -5 -6 + 7s-3s-5s

→ -18 - 1s

The answer is -18-1s

Solve the equation 3/8p=9

Answers

Answer:

p = 24

Step-by-step explanation:

[tex] \frac{3}{8} p = 9[/tex]

[tex] = > p = 9 \times \frac{8}{3} [/tex]

=> p = 3 × 8

=> p = 24 (Ans)

SOMEBODY PLEASE ANSWER THIS IVE BEEN TRYING FOR 2 DAYS NOW I NEED HELP. The value of a car is depreciating by 12% per year.
Write a rule expressing the value of the car after x years if it is currently worth $15,000.
What will the car be the worth in 10 years ? What was the car worth 5 years ago ?

Answers

If it is depreciating by 12% per year it forms geometric sequence with a common ratio of 100% - 12% = 88% = 0.88
The value in x years = 15000 x 0.88^x

Value in 10 years = 15000 x 0.88^10 = $4178 (to nearest dollar)

Value 5 years ago = 15000 x 0.88^-5 = $28423 (to nearest dollar)

i need help plzzzzzzzz

Answers

Answer:

Step-by-step explanation:

The expanded form of 79 is 70+ 9. To apply the distributive property you rewrite the problem 3(70 + 9) which is the same as (3x70) + (3x9). Next do the multiplication 3x70= 210 + 3x9= 27

Next add the sums: 210 + 27 = 237.

Solve the equation (-20)-2+9+18

Answers

Answer:

5

Step-by-step explanation:

The answer to this is 5

find the distance between the points (3, 7) and (2, 6)​

Answers

Answer:

1.414214

Step-by-step explanation:

I think this is right lol.

18)
Christopher's cell phone company
charges a monthly'rate of $56 plus
$0.95 per gigabyte of data used,
and $0.08 per text message sent.
Christopher sent 55 text messages
messages in April and received a bill
for $68.00. How much data did he
use?

Answers

Answer:

8 GB

Step-by-step explanation:

Cost = sum of fees 1, 2, and 3

C = 56 + .95g +  .08t

so

68 = 56 + .95g + .08(55)

68 = 56 + .95g + .08(55)

68 = 56 + .95g + 4.4

68 - 56 - 4.4 = .95g

7.6 = .95 g

7.6/.95 = g

8 = g

32°
X х
Х
x =
degrees

Answers

Answer:

x = 74 degrees

Step-by-step explanation:

180 - 32 = 148

148 / 2 = 74

Sixteen is equal to 7 increased by the product of 3 and a number.

Answers

Answer:

number is 3

Step-by-step explanation:

let the number be n then the product of 3 and the number is 3n , so

16 = 7 + 3n ( subtract 7 from both sides )

9 = 3n ( divide both sides by 3 )

3 = n

That is the number is 3

You went to Walmart and you bought a hoverboard. The total cost was $150.00 which includes a tax of 6%. What was the original price?

Answers

Answer:

$141

Step-by-step explanation:

150x.06=9

150-9=141

not sure this is right, its off the top of my head and it's been a while since I've been in a math class that does this so i apologize in advance

Emma had 10 Balls in a bag. The balls were numbers 1 through 10. She wanted to test the probability of drawing a ball that is a multiple of 3.
Also, write a prediction about if there is an unlikely, impossible, likely, even, or certain change of drawing a multiple of 3.

Answers

Answer:

30%Unlikely

Step-by-step explanation:

The balls - multiples of 3 are:

3, 6 and 9

The probability of a multiple of 3 is:

3 out of 10 orP = 3/10 = 30%

30% probability is in the range 0%-50% so this event is unlikely

Total balls=10Multiples of 3=3,6,9

Total multiples=3

[tex]\\ \sf\longmapsto P(3)=\dfrac{Multiples\:of\:3}{Total \:balls}[/tex]

[tex]\\ \sf\longmapsto P(3)=\dfrac{3}{10}[/tex]

[tex]\\ \sf\longmapsto P(3)=30\%[/tex]

It is <50%;

So it is unlikely to happen.

Brigit has 4.4 ounces of black beans for lunch. Each ounce of the black beans contains 1.3 g of fiber. How much fiber is contained in the black beans

Answers

Answer:

[tex]5.72[/tex]g of fiber is contained in the black beans.

Step-by-step explanation:

Given:

No.of. ounces[tex]=4.4[/tex]

Each ounce contains [tex]1.3[/tex]g of fiber

To calculate the fiber contained in the black beans

Total Fiber = No.of. ounces × Fiber contained in each ounce

[tex]=4.4[/tex] × [tex]1.3[/tex]

[tex]=5.72[/tex]g

Therefore, fiber contained in the black beans is [tex]5.72[/tex]g.

Learn more about multiplication, refer:

https://brainly.com/question/12353086
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