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saw5 [17]
3 years ago
14

What is the value of x?

Mathematics
1 answer:
anygoal [31]3 years ago
4 0

Answer:

<h2>x = 19</h2>

Step-by-step explanation:

There are the vertical angles. The vertical angles are congruent. Therefore we have the equation:

7x-8=6x+11            <em>add 8 to both sides</em>

7x-8+8=6x+11+8

7x=6x+19           <em>subtract 6x from both sides</em>

7x-6x=6x-6x+19\\\\x=19

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Given the graph below, solve the system of equations. <br><br> ​
goldenfox [79]

Answer:

(4, 3 )

Step-by-step explanation:

Given a system of equations graphically, then the solution is at the point of intersection of the 2 lines.

The lines intersect at (4, 3 ) ← solution

3 0
3 years ago
A line contains the points (82, −96) and (87, −86) .
mezya [45]

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (82, - 96) and (x₂, y₂ ) = (87, - 86)

m = \frac{-86+96}{87-82} = \frac{10}{5} = 2

3 0
3 years ago
How much would $200 invested at 5% interest compounded monthly be worth after 9years? Round your answer to the nearest cent
Feliz [49]

Answer:

$311.20

Step-by-step explanation:

Here we are required to use the Compound interest formula for finding the Amount at the end of 9th year

The formula is given as

A=P(1+\frac{r}{n})^{tn}

Where ,

A is the final amount

P is the initial amount = $200

r is the rate of interest = 5% annual = 0.05

n is the frequency of compounding in a year ( Here it is compounding monthly) = 12

t is the time period = 9

Now we substitute all these values in the formula and solve for A

A=200(1+\frac{0.05}{12})^{9\times 12}

A=200(1+0.00416)^{108}

A=200(1.00416)^{108}

A=200 \times 1.556

A=311.20

Hence the amount after 9 years will be $311.20

4 0
3 years ago
The ratio of boys to girl in a school is 5:7 if there are 600 students, how many girls are there
larisa86 [58]

Answer:

350 girls

Step-by-step explanation:

So,

The secret to solving problems with ratios is to find the value of one unit.

5:7 = 12 units total

To find one unit, divide the total number of students by the total number of units.

600/12 = a

Simplify

50/1 = a

50 = a

The value of each unit is 50.

Now, multiply the units by the numbers in the ratio.

50(5) = b

250 = boys

50(7) = x

350 = x

There are 350 girls.

3 0
3 years ago
What numerical expression is equivalent to (2^2)^3
oksian1 [2.3K]

Answer:2*2=4

4^3=4*4*4=64

Step-by-step explanation:

5 0
3 years ago
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