m∠A = (6x +4)° and m∠B = (10x + 16)°. Find x if the angles are supplementary.

A.12°
B.14°
C.8°
D.10°

Please don't reply just for the points, I really need help understanding these things, if possible please leave me an explanation on how you got this. P.S supplementary angles add up to 180 degrees

Answers

Answer 1

Answer:

d) 10°

Step-by-step explanation:

The sum of supplementary angles always equal 180°.

Since two angles are supplementary, the two angles must add up to equal 180°. Angles A and B are known, so the equation is as follows.

[tex]A + B = 180\\(6x + 4) + (10x + 16) = 180\\\\[/tex]

Rearrange and combine like terms:

[tex]6x + 10x + 16 + 4 = 180\\16x + 20 = 180\\[/tex]

Isolate x:

[tex]16x = 180 - 20\\16x = 160\\x =10[/tex]

Answer 2
B 14 because it adds up to 180

Related Questions

PLEASE HELP!!

Which statement correctly describes the lines shown on the graph?

A) All three lines represent a proportional relationship.

B) None of the lines represent a proportional relationship.

C) Only the yellow line represents a proportional relationship.

D) Only the green and pink lines represent a proportional relationship.

Answers

Answer:

d

Step-by-step explanation:

47.1 48.2 48.3 47.5 48.5

48.1 47.2 48.2 48.4 48.3
1. What proportion of the reactions were above the 48 grams threshold?
2 .Other chemists typically get 65% of their reactions to produce more than 48 grams. Should the engineer say that she was able to increase the useful product when compared to the other chemists?
Group of answer choices

Answers

Answer:

1. 0.7 since 7 of the 10 reactions had more than 48 grams of the useful product.

2. She could be optimistic, but her proportion does not seem far from what others have done. She should run more reactions to be more sure of the improvement. With only 10 values in her data set, 0.7 (and 0.6) is as close to 0.65 as she could get.

Step-by-step explanation:

Just trust me

Find the LcM of 160, 192,240​

Answers

Given:

The numbers are 160, 192, 240​.

To find:

The LCM of 160, 192, 240.

Solution:

The given numbers are  160, 192, 240​. Write the factor forms of these numbers.

[tex]160=2\times 2\times 2\times 2\times 2\times 5[/tex]

[tex]160=2^5\times 5[/tex]

[tex]192=2\times 2\times 2\times 2\times 2\times 2\times 3[/tex]

[tex]192=2^6\times 3[/tex]

[tex]240=2\times 2\times 2\times 2\times 3\times 5[/tex]

[tex]240=2^4\times 3\times 5[/tex]

Now, the LCM of given numbers is the product of all prime factors with highest degrees.

[tex]LCM=2^6\times 3\times 5[/tex]

[tex]LCM=64\times 15[/tex]

[tex]LCM=960[/tex]

Therefore, the LCM of given numbers is 960.

Find the length of the missing side

Answers

Answer:

it should be 40 in.

Step-by-step explanation:

because you have to use pythagorean theorem which is A square plus B square equals C square

Hope it helps.

I WILL GIVE BRAINLIEST! Please answer these 5 questions correctly! (NO INCORRECT ANSWERS LINKS WILL BE REPORTED NO TROLL ANSWERS)

Answers

Answer:

1.) 4a + 55

2.) 88m + 24k - 55

4.) b and d

5.) b and d

6.) a

7.) 3x + x + 10

Step-by-step explanation:

Hope this helped :)

What is 1 4/7 + 1/8 ?

Answers

Answer:

[tex]\frac{95}{56}[/tex] or [tex]1\frac{39}{56}[/tex]

Step-by-step explanation:

hope this helps have a good day :)

Answer:

Decimal Answer: 1.7

Fraction Answer: 1 39/56

764 divided by 23 =

A. 33
B. 37 R13
C. 741
D. 33 R5

Answers

Answer:

the answer is 33

Step-by-step explanation: Trust me don't worry :)

Find the midpoint of the segment with the following endpoints

(-8, 9) and (0, 1)

Answers

Answer:

(-4,5)

x-midpoint -4

y-midpoint 5

Step-by-step explanation:

M=x1+x2/2 ,y1+y2/2

M=-8+0/2 , 9+1/2

M=-8/2,10/2

M=-4,5

x-midpoint -4

y-midpoint 5

quickly help 2//////////////////////////////////

Answers

Answer:

A. , C. ,

Step-by-step explanation:

Because perimeter is the area around. there are 4 sides, and two of them are same, and the other two are same. add the sides to get 6.

Answer:

Step-by-step explanation:

multiply each dimension by 2 (P=2W+2L).  Only A and C add up to 6 (2+4)

TS is a midsegment of GHI, solve the value of x

Answers

Answer:

2x-7=(x+10)/2

2(2x-7)=x+10

4x-14=x+10

4x-x=10+14

3x=24

x=24/3

x=8

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

The midsegment is half of GI , that is

2x - 7 = [tex]\frac{1}{2}[/tex] (x + 10) ← multiply both sides by 2 to clear the fraction

4x - 14 = x + 10 ( subtract x from both sides )

3x - 14 = 10 ( add 14 to both sides )

3x = 24 ( divide both sides by 3 )

x = 8

which of the following rectangle or prism‘s have a surface area of 24 square units

Answers

Answer:

YOU need to add a photo

Shelby Middle School is thinking of changing its dress code. What would be the best way to collect data?

Answers

Answer:

Choose every tenth student entering the school and ask them if they like the dress code or not.

Step-by-step explanation:

This is a question of sampling. We need to make non-biased predictions using non-biased data. We can sample from every tenth student to stay proportional. Sampling many students can collect more data and can help keep the data non-biased.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Need help please stressing out over this problem!?!?!

Answers

[tex]v = \frac{4}{3} \times \pi \times {r}^{3} [/tex]

Finding the radius,

[tex]d = 2r, \: r = \frac{d}{2} = \frac{8}{2} = 4inches[/tex]

Plugging in our values,

[tex]v = \frac{4}{3} \times 3.14 \times {4}^{3} = \frac{4}{3} \times 3.14 \times 64 = 267.95 {inches}^{3} \\ [/tex]

Rounding to the nearest whol number,

[tex]v = 268 {inches}^{3} [/tex]

A study on how circus ticket pricing influences ticket sales shows that there is an average increase of 4 people for every $3 decrease on the price
of the ticket. A circus owner sells an average of 340 tickets when the price of a ticket is $75. If x represents the number of times the price
decreases by $3, which function describes the revenue earned by the circus owner terms of x?

Answers

Answer:

circus ticket pricing influences ticket sales shows that there is an average increase of 4 people for every $3 decrease on the price

of the ticket. A circus owner sells an average of 340 tickets when the price of a ticket is $75. If x represents the number of times the price

decreases by $3, which function describes the revenue earned by the circus owner terms

If the rate , in gallons per minute , continues , approximately how many gallons of water from the hose in 45 minutes ?


Please do help

Answers

Every 5 minutes, you gain 4 gallons. 45/5 = 9, 9x4 equals 36, there would be 36 gallons of water in 45 minutes

which of the following expressions would solve for angle A?

Answers

Answer:

D

Step-by-step explanation:

The answer is the side opposite /  hypotenuse.

Definitions

The side opposite is the side which is not connected directly with angle (A). So it is the line that is 24 units long.

The hypotenuse is the longest line of a right triangle. It is opposite the right angle. It is 30 in this case.

Answer

Sin-1(24)/30

You haven't got an answer that is correct.

Tan-1(24/18) would work

The answer that is given that will work is cos-1(18/30)

Question 6
2 pts
Charlotte invested $100 per year into a business for 3 years. The total value of her
investment after 3 years is represented by the algebraic expression below, where x is the
growth in value each year.
100 (x3 + x2 + x)
What is the total value of her investment when x = 2?
O $6400
O $1200
O $600
O $1400

Answers

1200, (2)3+(2)2+2 = 6+4+2 = 12 12(100)= 1200

Solve the system by graphing
y=x+2
y=-1/2x-4

Answers

Answer:

(y,x)=(12,-10)

Step-by-step explanation:

i think

help me plsi have 7 mins to complete this test

Answers

Answer:

Step-by-step explanation:

the second one

Maria pulls colored marbles out of a bag one at a time. Her results are shown in the table below.

Color Outcomes
Blue 36
Yellow 42
Black 18
White 24

Based on the outcomes, if 20 more marbles are pulled out of the bag and replaced, how many marbles can be expected to be white?

Answers

Answer:

4

Step-by-step explanation:

P(white) = 24/120

set up a proportion based on these results:

24/120 = x/20

cross-multiply:

120x = 480

x = 4

lemme explain, im a middle schooler and my school just jumped into this with no explanation.​

Answers

Answer:

the first question is c

Step-by-step explanation:

2 x pi x the radius

2 x 3.14 x 8

what is the y intercept of this graph

Answers

Answer:

The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero.

HELP order to find the percentage of households in a town that own more than one vehicle, a survey asks 1000 randomly selected drivers at a
as station how many vehicles are owned in their household. From the results of the survey, it is reported that 67% of households in the town
mave more than one vehicle,
Why is this report biased?
O A. A random sample was used.
O B. The sample size was too small.
C. A survey should not have been used.
D. Households without a vehicle were not surveyed.

Answers

Answer is D jjkkkkmmm

Answer this question please ASAP!!!

Answers

Answer:

B.34

Step-by-step explanation:

i did the math and I sure it's correct but if it's not am sorry

I NEED HELP WITH THIS

Answers

Answer:

You can call me at the entertainment industry and I said I would like to troll sistah I am bear with me and I said I would like to troll sistah I am bear with me and I said I would like to troll sistah I am bear with me

It takes 2 minutes to fill a tank with 16 gallons of gasoline.

Answers

Answer:

and the question is...

Step-by-step explanation:

what is the measure of NEED HELP ASAP!

Answers

Answer:

of what

Step-by-step explanation:

a person deposits rs 55000 in bank p for 2 years at the rate of 10% per annum compounded annually .but after one year , bank has changed the policy and decided to pay semi annual compounded interest at the same rate .what is the percentage difference between the compound interests of the first year and second year​

Answers

Answer:

The interest generated the first year will be 10% of the principal value, while the second year said interest will be 10.25%.

Step-by-step explanation:

Given that a person deposits Rs 55000 in Bank P for 2 years at the rate of 10% per annum compounded annually, but after one year, bank has changed the policy and decided to pay semi annual compounded interest at the same rate, to determine what is the percentage difference between the compound interests of the first year and second year, the following calculation must be performed:

Year 1 =

55,000 x (1 + 0.1 / 1) ^ 1x1 = X

55,000 x 1.1 = X

60,500

Year 2 =

60,500 x (1 + 0.1 / 2) ^ 1x2 = X

60,500 x 1.05 ^ 2 = X

66,701.25 = X

55,000 = 100

60,500 = X

60,500 x 100 / 55,000 = X

110 = X

60,500 = 100

66,701.25 = X

66,701.25 x 100 / 60,500 = X

110.25 = X

Therefore, the interest generated the first year will be 10% of the principal value, while the second year said interest will be 10.25%.

The National Collegiate Athletic Association (NCAA) requires colleges to report the graduation rates of their athletes. At one large university, 91% of all students who started their studies in 2000-2010 graduated within 6 years. A sports reporter contacted 152 athletes randomly sampled from that same university and time period and found that 132 of them had graduated within 6 years.
(a) (5 points) Perform the appropriate hypothesis test to determine whether this is significant evidence that the percentage of athletes who graduate is less than for the student population at large, using the significance level a = 0.05. Remember for state the null and alternative hypotheses, the decision rule, and your conclusion.
(b) (3 points) Calculate the P-value for this test. Explain how this P-value can be use to test the hypotheses in part (a).

Answers

Answer:

a)

The null hypothesis is [tex]H_0: p = 0.91[/tex].

The alternate hypothesis is [tex]H_1: p < 0.91[/tex].

The decision rule is: accept the null hypothesis for [tex]z > -1.645[/tex], reject the null hypothesis for [tex]z < -1.645[/tex].

Since [tex]z = -1.79 < -1.645[/tex], we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.

b)

The p-value for this test is 0.0367. Since this p-value is less than the significance level of [tex]\alpha = 0.05[/tex], we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.

Step-by-step explanation:

Question a:

Perform the appropriate hypothesis test to determine whether this is significant evidence that the percentage of athletes who graduate is less than for the student population at large:

At the null hypothesis, we test if the proportion is the same as the student population, of 91%. Thus:

[tex]H_0: p = 0.91[/tex]

At the alternate hypothesis, we test that the proportion for athletes is less than 91%, that is:

[tex]H_1: p < 0.91[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Test if the proportion is less at the 0.05 level:

The critical value is z with a p-value of 0.05, that is, z = -1.645. Thus, the decision rule is: accept the null hypothesis for [tex]z > -1.645[/tex], reject the null hypothesis for [tex]z < -1.645[/tex].

0.91 is tested at the null hypothesis:

This means that [tex]\mu = 0.91, \sigma = \sqrt{0.91*0.09}[/tex]

A sports reporter contacted 152 athletes randomly sampled from that same university and time period and found that 132 of them had graduated within 6 years.

This means that [tex]n = 152, X = \frac{132}{152} = 0.8684[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.8684 - 0.91}{\frac{\sqrt{0.91*0.09}}{\sqrt{152}}}[/tex]

[tex]z = -1.79[/tex]

Since [tex]z = -1.79 < -1.645[/tex], we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.

(b) (3 points) Calculate the P-value for this test. Explain how this P-value can be use to test the hypotheses in part (a).

The p-value of the test is the probability of finding a sample proportion of 0.8684 or below. This is the p-value of z = -1.79.

Looking a the z-table, z = -1.79 has a p-value of 0.0367.

The p-value for this test is 0.0367. Since this p-value is less than the significance level of [tex]\alpha = 0.05[/tex], we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.

Which expressions are equivalent to the given expression. Help me out please

Answers

Answer:

.............. .......

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