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7 months ago

Use the following isosceles triangle to find valur of x and the length of ac.

1 answer:

3 0

Given that the triangle is isosceles, we can say that AB = AC. Using the given expressions we can form the following equation.

$\begin{gathered} AB=AC \\ 5x+8=7x-6 \end{gathered}$

Let's solve for x.

$\begin{gathered} 8+6=7x-5x \\ 14=2x \\ x=\frac{14}{2} \\ x=7 \end{gathered}$

Once we have the value of the variable, we can find the length of AC.

$\begin{gathered} AC=7x-6 \\ AC=7(7)-6 \\ AC=49-6 \\ AC=43 \end{gathered}$ <h2>Therefore, the length of AC is 43.</h2>

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Write the equation of a line passing through the points (2, -4) and (2, -9). Write the equation in slope-intercept form.

Norma-Jean [14]

1. find our slope: y2 - y1/ x2- x 1

-9 + 4= -5
2 - 2 = 0

m = 0

2. now we need to use our point-slope form to find our y intercept

point-slope form: y - y1 = m(x - x1)

y + 4 = 0(x - 2)

distribute:
y + 4 = 0x

3. get y by itself

y + 4 - 4 = y
0x - 4 = 0x - 4

4. write in slope-intercept form:

y = 0x - 4
OR
y = -4

8 0

3 years ago

Esmerelda is five times as old as Ruth. Four years ago, the sum of their ages was 22 years. How old is each now?

Lina20 [59]

Answer:

Ruth is x+4=7/3+4, esmerelda is 5x+4=35/3+4

Step-by-step explanation:

if Ruth is x, esmerelda is 5x,

four years ago,

Ruth is x+4, esmerelda is 5x+4, depend on the sum, we get:

x+4+5x+4=22, x=7/3

so:

Ruth is x+4=7/3+4, esmerelda is 5x+4=35/3+4

7 0

3 years ago

The index number representing the price level changes from 109 to 113 in one year. The inflation rate during the year is _____ p

Dima020 [189]

First, get the difference between the price level changes.

$113-109=4$

Then, divide it by the initial price level, which is 109.

$\frac{4}{109}=0.0367$

Multiply by 100 to get its percent.

$0.0367\times100=3.67$

Thefore, the inflation rate during the year is 3.67 percent.

8 0

1 year ago

can anyone explain this question please - What is the standard form of the following equation? y+3=1/4x Use integers for A, B, a

Vlad1618 [11]

Standard form is
ax+by=c
where a,b,c are integers

y+3=1/4x
timesboth sides by 4
4y+12=x
minus x both sides
-x+4y+12=0
minus 12 both sides
-x+4y=-12
(I like x to be positive so)
times both sides by -1
1x-4y=12
a=1
b=-4
c=12

4 0

2 years ago

What is the y-coordinate of the solution for the system of equations? x−y=−11 y+7=−2x

ICE Princess25 [194]

Answer:

$y= 5$

Step-by-step explanation:

Given the system of equations:

$x-y=-11$

$y+7=-2x$

In order to find the y coordinate of the solution we must first find the solution to this system of equations. We first start by solving one of the given equations and then substitute the answer of that into the second equation and further solve to get the final answers.

$x=y=-11$