1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sveta_85 [38]
3 years ago
11

Help me out with number 10.

Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0

Answer:

x = 29

Step-by-step explanation:

(2x - 13)° + (7x - 68)° = 180° (linear pair angles add up to 180°)

Solve for x

2x - 13 + 7x - 68 = 180

Add like terms

9x - 81 = 180

Add 81 to both sides

9x = 180 + 81

9x = 261

Divide both sides by 9

x = 261/9

x = 29

You might be interested in
UVOISINOULLIV HU
Gala2k [10]
<h3>Total snow fall for three days is 8.75 inches</h3>

<em><u>Solution:</u></em>

Given that,

Snow fell over the past three days

First\ day = 3\frac{2}{4}\ inches = \frac{14}{4}\ inches\\\\Second\ day = 3\frac{2}{4}\ inches = \frac{14}{4}\ inches\\\\Third\ day = 1\frac{3}{4}\ inches = \frac{7}{4}\ inches

<em><u>What was the total snowfall for the three days?</u></em>

Total snowfall = first day + second day + third day

Total\ snowfall = \frac{14}{4} + \frac{14}{4} + \frac{7}{4}\\\\Total\ snowfall = \frac{14 + 14 + 7}{4}\\\\Total\ snowfall = \frac{35}{4} \text{ or } 8.75\ inches

Thus total snow fall for three days is 8.75 inches

5 0
3 years ago
Indicate whether each system of equations has no solution, one solution, or infinitely many solutions. y=2x+2y=2x+4
Gala2k [10]

Answer:

Step-by-step explanation:

8 0
3 years ago
If x = 4, which inequality is true?<br> A) -2 -3x 12<br> C) 2x -4 -13<br> Show your work
wolverine [178]

Answer:

true

Step-by-step A

4 0
4 years ago
Write an expression for this one <br> the sum of an odd integer and the next odd integer.
Sidana [21]
Let x is the odd integer
x +2 is the next odd integer
so sum of an odd integer and the next odd integer:
x + (x+2) 
8 0
3 years ago
The Consumer Price Index​ (CPI) is a measure of the change in the cost of goods over time. If 1982 is used as the base year of c
Mashcka [7]

Answer:

a) y = 3.8 x +100

b) Abs. change= |168.4-167.5|=0.9

So the calculated value is 0.9 points above the actual value.

Relative. Change =\frac{|168.4 -167.5|}{167.5}x100 =0.537%

And the calculated value it's 0.537% higher than the actual value.

c) For this case we can use the slope obtained from the linear model to answer this question, and we can conclude that the CPI is increasing at approximate 3.8 units per year.

Step-by-step explanation:

Data given

1982 , CPI=100

1986, CPI = 191.2

Notation

Let CPI the dependent variable y. And the time th independent variable x.

For this case we want to adjust a linear model givn by the following expression:

y=mx+b

Solution to the problem

Part a

For this case we can find the slope with the following formula:

m =\frac{CPI_{2006}-CPI_{1982}}{2006-1982}

And if we replace we got:

m =\frac{191.2-100}{2006-1982}=3.8

Let X represent the number of years after. Then for 1982 t = 0, and if we replace we can find b:

100 = 3.8(0)+b

And then b=100

So then our linear model is given by:

y = 3.8 x +100

Part b

For this case we need to find the years since 1982 and we got x = 2000-1982=18, and if we rpelace this into our linear model we got:

y = 3.8(18) +100=168.4

And the actual value is 167.5 we can compare the result using absolute change or relative change like this:

Abs. change= |168.4-167.5|=0.9

So the calculated value is 0.9 points above the actual value.

And we can find also the relative change like this:

Relative. Change =\frac{|Calculated -Real|}{Real}x100

And if we replace we got:

Relative. Change =\frac{|168.4 -167.5|}{167.5}x100 =0.537%

And the calculated value it's 0.537% higher than the actual value.

Part c

For this case we can use the slope obtained from the linear model to answer this question, and we can conclude that the CPI is increasing at approximate 3.8 units per year.

3 0
3 years ago
Other questions:
  • In how many ways can 7 distinct red balls and 5 distinct blue balls be placed in a row such that all red balls are adjacent,
    12·1 answer
  • How many different teams of 11 players can be chosen from a soccer squad of 16
    10·2 answers
  • Please help!!
    14·2 answers
  • Choose the correct simplification of the expression 9 over h to the power of negative 3. h to the 3rd power over 9 9 over h to t
    6·2 answers
  • What is the surface area of the hemishpere?<br> 32 m
    8·2 answers
  • Sarawong had some candy to give to his four children. He first took nine pieces for himself and then evenly divided the rest amo
    9·2 answers
  • Emma is making a scale drawing of her farm using the scale 1cm = 2.5ft. In the drawing she drew a well with a diameter of 0.5 ce
    14·1 answer
  • 946 x 1/3<br>Please help!!​
    12·2 answers
  • Find the area of the shape shown below.<br> 4<br> 2<br> 6<br> 2<br> 2<br> units
    6·2 answers
  • A question abouts angles
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!