Answer:
B. 12
Step-by-step explanation:
✔️Find the value of x
The side lengths of two similar triangles are always proportional.
Given that ∆ABC ~ ∆LMN, therefore:
AB = 5
LM = 10
AC = x + 5
LN = 3x + 3
Plug in the values
Cross multiply
(distributive property)
Collect like terms
Divide both sides by 5
x = 7
✔️Find AC
AC = x + 5
Plug in the value of x
AC = 7 + 5
AC = 12
Answer:
<h2>
<u>-1 + √3 or -(1 - 2√3)</u></h2>
Step-by-step explanation:
(1 + √3) (2 - √3) = 2 - √3 + 2√3 - 3 = 2 - 3 - √3 + 2√3 = <u>-1 + √3 or -(1 - 2√3)</u>
Answer:
Step-by-step explanation:
i is an imaginary unit, this means
Rewrite -5 as 
then
Rewrite -25 as 
then
Answer:
y = 4/5x-18/5
Step-by-step explanation:
First we find the slope from the given points (-3,-6) (2,-2)
m = (y2-y1)/(x2-x1)
m = (-2 - -6)/(2 - -3)
(-2+6)/( 2+3)
4/5
The slope intercept form of an equation is
y = mx +b where m is the slope and b is the y intercept
y = 4/5 x +b
Substitute a point into the equation to find b
-6= 4/5(-3) +b
-6= -12/5 +b
Add 12/5 to each side
-6 +12/5 = -12/5 +12/5 +b
Get a common denominator
-30/5 + 12/5 = b
-18/5 =b
The equation is
y = 4/5x-18/5
25 goes into 200 exactly 8 times.
