Mathematics College

What is the measure of an angle if the measures of its two adjacent supplementary angles add up to 100°?

The answer is not 80 btw

Answers

Answer 1
Answer:  130

Explanation:

Let x be the unknown angle we want to find.

Let y be adjacent and supplementary to x. This means x+y = 180

Let z also be adjacent and supplementary to x. So x+z = 180 also

Subtracting the two equations leads to y-z = 0 and y = z. So effectively we've proven the vertical angle theorem.

Since the supplementary angles to x add to 100, we know that y+z = 100. Plug in y = z and solve for z

y+z = 100

z+z = 100

2z = 100

z = 100/2

z = 50

Therefore,

x+z = 180

x+50 = 180

x = 180-50

x = 130

Answer 2

Answer:

130°

Step-by-step explanation:

Let x be the unknown angle we want to find.

Let y be adjacent and supplementary to x. This means x+y = 180

Let z also be adjacent and supplementary to x. So x+z = 180 also

Subtracting the two equations leads to y-z = 0 and y = z. So effectively we've proven the vertical angle theorem.

Since the supplementary angles to x add to 100, we know that y+z = 100. Plug in y = z and solve for z

y+z = 100

z+z = 100

2z = 100

z = 100/2

z = 50

Therefore,

x+z = 180

x+50 = 180

x = 180-50

x = 130

Related Questions

2. An inaccurate clock loses
3.
minutes every 8 hours. How much time will the clock lose in one
week?

Answers

Answer: If it loses 3 minutes every 8 hrs than it loses 9 minutes every day. 9*7=63, it will lose 63 minutes in one week.

Algebra!!!! Answer QUICK PLZ
5 questions!!! 50 POINTS!!!!

Answers

Answer:

A

C

i don't get the first slide

Step-by-step explanation:

Answer:

 A

 C

What is the 1st one?? i don't get it.

Step-by-step explanation:

Help Number three please!!!

Answers

Step-by-step explanation:

108-ambulance

100- police

1098-child laber

Daniel bought a package of 12 water bottles for $6. Write an equation that relates the cost, c, of a package of water bottles to the number of bottles, b, in the package?

Answers

Answer:

c = 2b

Step-by-step explanation:

First, find the cost of one water bottle by dividing the total cost by the number of water bottles:

12/6

= 2

Then, set up an equation.

2b, where b is the number of bottles, represents the cost of the package of water bottles.

Set this equal to c, the cost, to create the equation.

c = 2b is the equation relating the cost to the number of bottles

BLANK% of 50 shirts is 2 shirts.

Answers

Answer:

4%

Step-by-step explanation:

2/50 is 4....I believe.

How much does Jimmy earn each week, and
how much does he save by week 4?
A. Jimmy earns $3 each week, and he has $12 by
week 4.
B. Jimmy earns $3 each week, and he has $10 by
week 4.
C. Jimmy earns $6 each week, and he has $12 by
week 4.
D. Jimmy earns $6 each week, and he has $10 by
week 4.

Answers

Answer:

we need more info to answer this question

Answer:

A.

Step-by-step explanation:

12 divided by 4 equals 3. So if he gets 3 dollars a week by the fourth week he should have 12 dollars. It could also be 4 times 3 equals 12.

Please help im stuck

Answers

Answer:

B

Step-by-step explanation:

substitution because

if m∠3=m∠7, and m∠7=m∠6 you can substitute

m∠7 to m∠3 and get m∠3=m∠6

Which of the following is the mean of the sampling distribution

Answers

I have no idea srry i need points

Which equation correctly shows the relationship between the numbers 6,560 and 656?

Answers

Answer:

656×1000

Step-by-step explanation:

Answer This math question and ill give brainliest

Answers

Answer:

16 miles

Step-by-step explanation:

there are 8 units between the points each unit is 2 miles so 8*2= 16

A can of paint will cover 400 square feet. What is the length of the edge of the largest square that can be painted with this can of paint?

Answers

For the area of a circle is πr² as you stated so all you do is set 400 equal to πr² and solve for r.

400=πr²/π
127.32=r²
√127.32)= r
r=11.3

Same thing for this except you use 800 instead of 400 so.

800=πr²
254.64=r²
√254.64)= r
r=15.9 or 16.0 for rounding purposes.

The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution. Test H0 : p=0.28 vs Ha : p<0.28 when the sample has n=800, and p^=0.217 with SE=0.01.

Required:
Find the value of the standardized z-test statistic.

Answers

Answer:

Z = -6.3

Step-by-step explanation:

Given that:

[tex]\mathbf{H_o :p= 0.28}[/tex]

[tex]\mathbf{H_o :p < 0.28}[/tex]

Since the alternative hypothesis is less than 0.28, then this is a left-tailed hypothesis.

Sample sixe n = 800

[tex]\hat p[/tex] = 0.217

The standard error [tex]S.E(p) = \sqrt{\dfrac{p(1-p)}{n}}[/tex]

[tex]S.E(p) = \sqrt{\dfrac{0.28(1-0.28)}{800}}[/tex]

[tex]S.E(p) \simeq0.015[/tex]

Since this is a single proportional test, the test statistics can be computed as:

[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]

[tex]Z = \dfrac{0.217- 0.28}{0.01}[/tex]

Z = -6.3

can you plz give me more of an anser

Answers

Answer:

peepeepoopoo check

Step-by-step explanation:

Please help on this math question! I will love to help back on anything and give brainliest

Answers

Answer:

the perimeter is 25.

Step-by-step explanation:

have a nice day!

i need to know the answer to this is radical form

Answers

The answer is the last on 12

89.36 in word form i have it in expanded form not word form though pls help ??????????????????????????????????????????????????????????????????????///

Answers

Answer:

eighty-nine and thirty-six hundredths

or, simpler:

eighty-nine point thirty-six

or, even simpler:

eighty-nine point three six

Answer:

eighty-nine and thirty-six hundredths

Step-by-step explanation:

Ned took a test with 20 questions. He lost 5 points for each of the 8 questions he got wrong and earned an additional 11 points for answering a bonus question correctly. How many points did Ned receive or lose overall?

Answers

Answer:

He lost 29 points

Step-by-step explanation:

He lost 29 points. He lost 5 points for each of the 8 questions so -5 x 8 = -40 points, then add 11 = -29

Answer:

He would end up with 71 points

Step-by-step explanation:

You start with 100 hundred points then you have to multiply 8 times 5 which you get 40 so then you have to  subtract 100 -40 to get 60 then you add the extra 11 points andyou get 71 points

Write 0.45 as a fraction.

Answers

Answer:

9/20

Step-by-step explanation:

0.45 = 45/100

45/100=9/20 (divide numerator and denominator by 5)

This is the fraction for 0.45

b. Multiply (3 x - 1) by (x + 1)​

Answers

Answer:

(3x - 1)(x + 1) = 3x² + 2x - 1

Step-by-step explanation:

[tex] \rm \longrightarrow (3x - 1)(x + 1) \\ \\ \rm \longrightarrow 3x(x + 1) - 1(x + 1) \\ \\ \rm \longrightarrow (3x)(x) + (3x)(1) + ( - 1)(x) + ( - 1)(1) \\ \\ \rm \longrightarrow 3 {x}^{2} + 3x + ( - x ) + ( - 1) \\ \\ \rm \longrightarrow 3 {x}^{2} + 3x - x - 1 \\ \\ \rm \longrightarrow 3 {x}^{2} + 2x - 1[/tex]

Answer:

(3x - 1)(x + 1) = 3x² + 2x - 1

Step-by-step explanation:

got it right on edge

In order to become a member at a gym, there is a $75 startup fee. You then have to pay $15 per month. Write an equation in slope-intercept form modeling this situation where y represents the total cost and x represents the number of months spent at the gym

Answers

Answer:

y = 15x +75

Step-by-step explanation:

15 is the number of months and changes based on how many months

75 doesn't change, remains constant.

help please!!!!! (QUESTION #3)!!!!!!!

Answers

I’m not sure I’m just guessing but maybe 7x minus 35

Whoever answers correctly gets brainlist.

Answers

Answer:

1.- 4/5 + 5/12= 1  and 13/60

2.- 5/6 + 6/12= 1 and 1/3

3.- 1/3 + 2/6= 2/3

4.- 7/8 + 8/10=  1 and 27/40

88) 4 times a number decreased by 8 equals 40
A) x=80 B) x = 40 C) x=8
D) x = 12

Answers

D=12
Because if you write down the equation 4x-8=40 and plug in 12. 4 times 12 is 48
. 48-8 equals 40

2. An inaccurate clock loses
3 1/2
minutes every 8 hours. How much time will the clock lose in one
week?

Answers

Answer: 588 min

24x7 x3.5

Solve for g.

g + (-5) = 27

Answers

g=32
you add 5 to 27 since it is a negative. and then 32-5=27

answer: g=32 u should simplify

what is the value of 6797999012

Answers

Answer:

6797999012

Step-by-step explanation:

Marine biologists have been studying the effects of acidification of the oceans on weights of male baluga whales in the Arctic Ocean. One of the studies involves a random sample of 16 baluga whales. The researchers want to create a 95% confidence interval to estimate the true mean weight of male baluga whales. Their data follow a normal distribution. The population standard deviation of weights of male baluga whales is ????=125 kg, and the researchers feel comfortable using this standard deviation for their confidence interval.
Assuming the relevant requirements are met, calculate the margin of error in estimating the true mean weight of male baluga whales in the Artic Ocean.
a. 15.31 kg
b. 51.40 kg
c. 61.25 kg
d. 80.49 kg

Answers

Answer:

c. 61.25 kg

Step-by-step explanation:

The margin of error in estimating the true mean weight of male baluga whales in the Artic Ocean.

a. 15.31 kg

b. 51.40 kg

c. 61.25 kg

d. 80.49 kg

Margin of Error Formula= z × Standard deviation/√n

95% confidence interval = 1.96

Standard deviation = 125kg

n = 16 samples

Margin of error= 1.96 × 125/√16

= 1.96 × 125/4

= 245/4

= 61.25kg

The margin of error in estimating the true mean weight of male baluga whales in the Artic Ocean is 61.25kg

what is the equation of a line perpendicular to line with equation 2x-5y=5

Answers

Answer:

its -5

Step-by-step explanation:

Solve for x in the expression:
3 + 2x + 5 =0​

Answers

x=-4
3+5 = 8
2x+8=0
2x = -8
x=-4

Answer:

x= -4

Step-by-step explanation:

3 + 2x + 5 = 0

8 + 2x = 0

2x = -8

2x/2 = -8/2

x= -4

How much sparkling water would you need to make 100 quarts of sparkling grape juice? (Recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quarts of grape juice)

Answers

Answer:

66.6666

Step-by-step explanation

This is the answer because I found it up here and I got the answer right.

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