The sum of the angles of a triangle is 180°. If one angle of a triangle measures x and the second
angle measures (4x + 7)º, express the measure of the third angle in terms of x. Simplify the
expression.
.....

Answers

Answer 1

Answer:

-5x+173

Step-by-step explanation:

x+4x+7      (sum of the 2 angles that you know)

5x+7

180-5x+7

-5x+173


Related Questions

what is 3 1/3 - 1 1/2​

Answers

Answer:1.833333

Step-by-step explanation:

A painter uses 15 gallons of interior paint to cover 300 square yards of wall and ceiling space. On a different job, he uses 8 gallons to cover 160 square yards. No paint is left over on either job. How many gallons of paint are needed to cover 1 square yard?​

Answers

Answer:

.05

Step-by-step explanation:

300/15

20 sqr yrds per gal

1/20

1/20 or .05 Gal per sqr yrd

In the figure below, AABC is similar to A EFG. What is the length of EG? Enter only the number.
A
5
N
3
12
16
F
G
B
The solution is

Answers

Answer:

EG = 20

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion , that is

[tex]\frac{EG}{AC}[/tex] = [tex]\frac{EF}{AB}[/tex] , substitute values

[tex]\frac{EG}{5}[/tex] = [tex]\frac{12}{3}[/tex] = 4 ( multiply both sides by 5 )

EG = 5 × 4 = 20

13. This shows a part of a multiplication table. Find the missing numbers. Explain how you found the numbers.

35 40
42 ?
? ?​

Answers

The missing numbers in the multiplication table are 49, 48 and 56 respectively

Given:

35

42

?

35 = 7 × 5

42 = 7 × 6

? = 7 × 7 = 49

40

?

?

40 = 8 × 5

? = 8 × 6 = 48

? = 8 × 7 = 56

Multiplication table is a mathematical table showing the products of each of integers such as 7 and 5, 1 and 10, 13 and 12 etc

Therefore, the missing numbers in the multiplication table are 49, 48 and 56 respectively

Learn more about multiplication:

https://brainly.com/question/10873737

slope 1/4 y-intercept 3 step by step

Answers

I am assuming you want this in slope-intercept form. Slope-intercept form is y=mx+b. Y and x are just coordinates, and m and b are the slope and y-intercept. We do not need to worry about x and y. M is the slope, and b is the y-intercept. By plugging in our slope, we get y=1/4x+b. Next, we put the y-intercept into y. y=1/4x+3

The answer is y=1/4x+3

6x + 34x - 6 =8(5x + 10)

Answers

[tex]6x+34x -6 = 8(5x+10)\\\\\implies 40x -6 = 40x +10\\\\\implies 40x -40x = 10+6 \\\\\implies 0 =16\\\\\text{Which is not true. So no solution.}[/tex]

Y=1/3x-4 + Y=-7/3x+4

Answers

Answer:

-2

Step-by-step explanation:

if you arrange them over each other you get [tex]\frac{1}{3} -4 \\+\frac{-7}{3} +4[/tex]

the -4 and +4 cancel out to 0

and 1-7= -6

-6/3 is -2

Find the diameter of a circle with a circumference of 34.54 yards. Use 3.14 for π.

Answers

Answer:

Step-by-step explanation:

C = π d

3.14 d = 34.54

d = 11 yards

Answer:

Step-by-step explanation:

C = πD

D = C/π

D = 34.54 / 3.14

D = 11 yards

29 divided by 6 eeeeeeeeeeeee

Answers

Answer:

4.8333333

Explanation:

Answer 4.83

Step-by-step explanation:

Maria is riding her bike through the Red Rock Loop. Maria recorded her distance traveled at five different
points during her bike ride. The table of values below shows the results of her bike ride.

Answers

Answer:

MOoo

Step-by-step explanation:

MOoo

Help I need the answers ASAP

Answers

Answer:

304 and 512

Step-by-step explanation:

For number 11 it is 304 and for number 12 it is 512

If .60 = N could you write the expression .60N

Answers

Answer:

N+60

Step-by-step explanation:

In 2000, the moose population in a park was measured to be 650. By 2010, the population was measured to be 750. Assume the population continues to change exponentially. Find a formula for the moose population, P(x), where x is the number of years after 2000

Answers

Answer:

650 * (1.01)ˣ = P(x)

Step-by-step explanation:

One formula for exponential growth is

a*bˣ, where x represents time, a represents the initial amount, and b represents the growth rate. We have 650 as our initial amount because x is the number of years after 2000, and there are 650 moose in 2000. Then, we have

650 * b¹⁰ = 750 because, after 10 years, the moose population is 750. Solving for b, we have

750/650 = b¹⁰

(750/650)^(1/10) = b

= 1.01441296377 (can round this to 1.01)

Therefore, after x years, the moose population can be represented by the equation

650 * (1.01)ˣ

The blood bank at a hospital has 1,200 units of blood, out of which 37% units are of blood group B+. A clinical researcher randomly selects 300 units of blood and finds that 33% of those are of blood group B+. To test his result, he randomly selects 200 units of blood and finds that 40% of those are of blood group B+. Which of the following is the reason there is a difference between the two percentages selected by the researcher?

Answers

The reason why the two percentages are different is that the sample does not reflect the characteristics of all the units of blood.

What is sampling?

Sampling is a statistical technique in which a sample of a statistical population is selected for the study. The objective of sampling is to ensure that its properties can be extrapolated to the total population.

Sampling is a way of saving resources, and at the same time obtaining results similar to those that would be achieved if a study of the entire population were carried out.

According to the above, the clinical researcher who selected a sample of the available blood units obtains different percentages because he selected randomly and this can modify the quantities of samples according to blood type.

Learn more about sampling in: https://brainly.com/question/350477

A six-sided, fair number cube is rolled 100 times as part of an experiment. The frequency of the roll of the number 3 is 20. Which statement about rolling a 3 is correct?

The theoretical probability is 1/6. The experimental probability is 1/6.
The theoretical probability is 1/5. The experimental probability is 1/6.
The theoretical probability is 1/6. The experimental probability is 1/5.
The theoretical probability is 1/5. The experimental probability is 1/5.

Answers

Answer:

The theoretical probability is 1/6. The experimental probability is 1/5.

Step-by-step explanation:

Answer:

c for lazy goofy peoplee

Step-by-step explanation:

The perimeter of a rectangle is 20/33 feet. The length of three sides together is 16/33 feet.
What is the length of the fourth side?

40 feet
4/33feet
16/33feet
20/33feet

Answers

Answer: 4/33 feet

Explanation: 20/33 - 16/33 = 4/33

Find the amount of an annuity that consists of 25 quarterly payments of $800 each into an account that pays 8% interest per year, compounded quarterly. (Round your answer to the nearest cent.)

Answers

Answer: 400

25 x 800 = 20,000 x 8% = 1,600 / 4 = 400

What is the area of a triangle with a base of √10 and a height of √13 Will mark brainliest

Answers

Answer:

the answer is shown on the photo!

Answer:

a=570

Step-by-step explanation:

correct sure

In developing an interval estimate of the population mean, if the population standard deviation is unknown _____.

Answers

Answer:

the sample standard deviation and t distribution can be used

Step-by-step explanation:

PERSON WHO GETS RIGHT ILL GIVE BRAINLIEST! Which values from the given replacement set make up the solution set of this inequality? 3s>12; {4, 5, 6, 7}


{4}

{4, 5, 6}

{4, 5}

{5, 6, 7}

Answers

Answer:

{5,6,7}

Step-by-step explanation:

3s>12

divide by 3 on both sides and you get

s>4

so {5,6,7} is the only one that works since it needs to be greater than 4

sorry if I replied too late, but I hope this helps

Which choice is equivalent to the product below?
v2.58
O A. 4./20
O B. 4/5
O C. 16.15
O D. 8/10

Answers

Answer:  Choice B)  [tex]\boldsymbol{4\sqrt{5}}\\\\[/tex]

Work Shown:

[tex]\sqrt{2}*\sqrt{5}*\sqrt{8}\\\\\sqrt{2*5*8}\\\\\sqrt{80}\\\\\sqrt{16*5}\\\\\sqrt{16}*\sqrt{5}\\\\\boldsymbol{4\sqrt{5}}\\\\[/tex]

The rule I'm using is [tex]\sqrt{x*y} = \sqrt{x}*\sqrt{y}[/tex]

Answer:

Option B

Step-by-step explanation:

√2 × √5 × √8

√2 × √5 × 2√2 [√8 = 2√2]

(√2 × √2) × √5 × 2

2 × √5 × 2

4√5

Option B is correct

-4x +8 = 24
What is the value of x in the equation?
8
4
-4
-8

Answers

Answer:

-4x+8=24

24-8

16/-4x

x= -4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

-4x + 8 = 24

Subtract 8 from both sides to isolate the x.

-4x + 8 = 24

       -8    -8

-4x       = 16

Divide -4 from both sides to solve for x.

-4x = 16

/-4    /-4

x = -4

On a basketball court the free throw line is marked off geometrically this area of the court is called a key and is topped
by a semi circle that has a diameter of 12 feet find the arc length of the semi circle to the nearest foot find the area of a semi circle to the nearest square foot

Answers

Step-by-step explanation:

Arc length formula is

[tex]s = rx[/tex]

where x is radinas.

A semi circle has a radian measure of

[tex]\pi[/tex]

The radius is half of the diameter, 12 so the radius is

[tex]12 \times \frac{1}{2} = 6[/tex]

So the arc length is

[tex]6 \times \pi = 6\pi[/tex]

Area of semi circle is

[tex] \frac{1}{2} \pi {r}^{2} [/tex]

where r is the radius.

[tex] \frac{1}{2} \pi6 {}^{2} [/tex]

[tex] \frac{1}{2} 36\pi[/tex]

[tex]18\pi[/tex]

write as an expression: Fifteen more than the quotient of 24 and a number x. then evaluate when x equals 8

Answers

Answer:

18

Step-by-step explanation:

The expression would be 24/x + 15. 24 divided by 8 is 3 and 3 plus 15 is 18.

what is 0.128 as a fraction​

Answers

[tex]0.128 \\ = \frac{128}{1000} \\ = \frac{16}{125} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

16/125

Step-by-step explanation:

Write 0.128 as

0.128/1

Multiply both numerator and denominator by 10 for every number after the decimal point

(0.128 × 1000)/(1 × 1000) = 128/1000

Reducing the fraction gives

16/125

twin oaks soccer field is a rectangle. The longer side of the field is 108 yards long. The shorter side is 56 yards long. What is the perimeter of the field?

Answers

Answer:

P = 328 yards

Step-by-step explanation:

formula is P= 2l + 2w

[tex]p = 2(108) + 2(56) \\ = 216 + 112 \\ = 328 \: yards[/tex]

Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.


4. What does ¾ + ¼ = ?

Answer in simplest form.

Answers

3/4+1/4=1
I’m not sure why you put the thing about Melanie there.

a painter has 3 gallons of paint and each will cover 420 ft of wall space. if the total area was 1800 ft what percent of the job could the painter finish with the paint he already has?

Answers

Answer:

23.33333%

Step-by-step explanation:

You are delt 1 card from a 52 card deck. Find the probability that you are not dealt a 10

Answers

Answer:

Step-by-step explanation:

There are 4 tens.

There are 48 cards that are not a 10. The probability of drawing 1 of the 48 is

P(~10) = 48/52 which is quite high as you might imagine.

A coin is tossed and the spinner is spun one possible outcome is H3 (heads, 3). What is the sample space for the experiment?

Answers

Supposing a spinner with 4 sides, the sample space is:

{H1, H2, H3, H4, T1, T2, T3, T4}

The sample space is the set that contains all possible outcomes for an experiment.

In this problem:

For the coin, there are two possible outcomes: H or T.Supposing the spinner has 4 sides, there are four possible outcomes: 1, 2, 3, or 4.

Hence, the sample space is:

{H1, H2, H3, H4, T1, T2, T3, T4}

For more on sample space, you can check https://brainly.com/question/25775544

Other Questions
(y+3):(y+5)=k:1show that y=(5k-3)/(1-k)hence y=(5k-2)/(1-k) Write an equation in slope intercept for a line that passes through (2,2) At the dealership where she works, Denise fulfilled 1/2 of her quarterly sales goal in January and another 5/12 of her sales goal in February. What fraction of her quarterly sales goal had Denise reached by the end of February? What is the main source of conflict in the Middle East?a-Government conflictsb-Ethnic conflictsc-Religious conflictsd-Economic conflicts What did Diocletian do to change the way the Roman Empire was ruled?How would we add -3 + (-9) on the number line? Describe Hydrogen Bonding.BEST ANSWER GETS BRAINLIEST which erosional force acts alone to produce avalanches and landslides? Write each verbal expression as an algebraic expression.The product of a number, b, and nine = A number, x, raised to the fifth power = Twelve divided by the product of number, y, and three = Seven added to the difference of one and a number, k = complete the sentence when the bell was ringing, the teacher................ Could someone help please Identify the slope and y-intercept of the graph y = -1/3x + 6.2. slope = 6, y-intercept = -1/31. slope = -1/3, y-intercept = 6 Convert 1.16 mol of calcium cyanide, Ca(CN)2, to mass. therapy that depends on identifying and changing distorted thinking and unrealistic beliefs is ______ therapy. Read the excerpt from "Home on the Range".Shivering, he tiptoed over to his closet. It was crammedwith clothes and sports gear. He was about to startdigging for a hoodie when he heard a soft knock on thedoor.This excerpt takes place in richards KitchenLiving roomBathroomBedroom?Hurry up plz help?????it's due tomorrow Temperature-sensitive alleles are an example of conditional alleles; at the permissive temperature, the gene has normal function, whereas at the restrictive temperature, the gene has mutant function. You are studying the E2F pathway and you obtain a temperature-sensitive CDK4 mutant. At the permissive temperature, CDK4 functions normally. At the restrictive temperature, CDK4 is non-functional. Would you expect cells to continue growing or stop dividing when at the restrictive temperature? Explain your answer. in the book the giver who is the person that designates assignments Which of the tables represents a function? (1 point)Table ATable BTable CTable DInput Output Input Output Input Output Input Output4 25 94 34 79 29 37 94 36 52 78 76 58 5 Solve for x3x+7=28 Standard SB31. Using Mendel's Law of Segregation and Law ofIndependent Assortment, explain how meiosis leads to genetic variation.