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3 years ago

12

Set up an equation and solve for x

1 answer:

k0ka [10]3 years ago

7 0

Answer:

x = -10

Step-by-step explanation:

verticle angles are congruent

80 + x = 70

Subtract 80 from both sides

x = -10

You might be interested in

(5,1) {-1,5) (-5, 1) (1, -5) (5,3}}

Georgia [21]

Answer: not a function

Step-by-step explanation:

the input x=5 has two outputs, y=3 and y=1

(x,y)

3 0

2 years ago

Large reusable bottles cost $4 more than small ones. Eight large bottles cost $24 less than 12 small ones. How much does one sma

ss7ja [257]

A small bottle costs $14.

To solve the problem, the equation would be this:

$8(4+s)=12s-24$

Let <em>s </em>represent a small bottle. Since one large bottle is $4 more than a small one, you would write out <em>(4+s)</em>. Then, multiply it by 8 to find one side of the equation, and get <em>8(4+s)</em>. To write out the right side of the equation, you would write out <em>12s </em>to represent 12 small bottles, and <em />subtract <em />24 from that to represent that 8 large bottles is $24 less than 12 small ones.

Then, proceed to solve the equation to get the answer of <em>s=14</em>. Because a small bottle is $14, you can check your work by substituting the 14 in replace of <em>s</em>. <em />

5 0

3 years ago

Given that the following two geometric series(meetkundige reekse) are covergent 1+x+x²+x³+... And 1-x+x²-x³+... Determine the va

Oksanka [162]

The sets are (1,-1) or (-1,1)

Lets see

Take until 4terms

#1

$\\ \rm\longmapsto S_4=1+1+1^2+1^3=1+1+1+1=4$ (1,-1)

$\\ \rm\longmapsto S_4=1+(-1)+(-1)^2+(-1)^3=1-1+1-1=0$ (-1,1)

#2

$\\ \rm\longmapsto S_4=1-(-1)+(-1)^2-(-1)^3=1+1+1+1=4$ (1,-1)

$\\ \rm\longmapsto S_4=1-1+(1)^2-1^3=1-1+1-1=0$ (-1,1)

Hence verified

Another set can be (0,0)

Proof:-

$\\ \ast\rm\longmapsto S_3=1+0+0^2=1$

$\\ \ast\rm\longmapsto S_3=1-0+0^2=1$

Hence verified.

3 0

2 years ago

A student wants to check six websites. Four of the websites are social and two are school-related. After checking just two sites

mash [69]

The approximate probability that she checked a social website first, then a school-related website is 0.267.

First step is to calculate the Total number of websites

Total number of websites=Number of school websites+Number of social websites

Total number of websites=2+4

Total number of websites=6

Second step

Probability of checking the social website first

Probability of checking social website=Number of social websites/Total number of websites

Probability of checking social website= 4/6

Third step

Since one social website is checked which means that she is left with 3 social website and 2 school websites

Total number websites=2+3

Total number websites=5

Forth step

Probability of checking social website=Number of school websites/Total number websites

Probability of checking social website=2/5

Fifth step

Probability= 4/6 x 2/5 = 0.2666

Probability=0.267(Approximately)

Inconclusion the approximate probability that she checked a social website first, then a school-related website is 0.267.

Learn more about probability here:brainly.com/question/25688842

6 0

2 years ago

What is the solution to the equation One-third (x minus 2) = one-fifth (x + 4) + 2? x = 12 x = 14 x = 16 x = 26

Elena L [17]

Answer:

x = 26

Step-by-step explanation:

Given

$\frac{1}{3}$ (x - 2) = $\frac{1}{5}$ (x + 4) + 2

Multiply through by 15 to clear the fractions

5(x - 2) =3(x + 4) + 30 ← distribute and simplify both sides

5x - 10 = 3x + 12 + 30, that is

5x - 10 = 3x + 42 ( subtract 3x from both sides )

2x - 10 = 42 ( add 10 to both sides )

2x = 52 ( divide both sides by 2 )

x = 26

3 0

3 years ago