Answer:
The point slope formula is
(y−y1)=m(x−x1)
Where m = the slope calculated as y2−y1x2−x1
(x1,y1)(x2,y2)
(-4 , 1) (-2 , 3)
Solve for the slope
m = 3−1−2−(−3) = 21 = m = 2
(y−3)=2(x−(−2)) Plug in known values.
y−3=2(x+2) Simplify signs
y−3=2x+4 Use Distributive property
y=−2x+4+3 isolate the y variable
answer (y = −5x+7 ) Simplify
Follow the steps
106=x+79+x+45
106=2x+124
-124= -124
-18=2x
( -18)/2=(2x)/2 <----- solving for x
-9=x
then
angle LMF= -9+79
=70
angle FMN= -9+45
= 36
(when you add 70 and 36 together you get 106 which is the measurement of angle LMN or in other word the whole thing)
In conclusion the answer to the problem is:
Angle LMF is equal to 70.
Answer:
144
Step-by-step explanation:
x^2+24x=17
b=24
(b/2)^2=(24/2)^2=12^2=144
Answer:
200 people were at the stadium
Step-by-step explanation:
Let us represent the total number of people at the stadium = x
At a football stadium, 5% of the fans in attendance were teenagers. If there were 10 teenagers at the football stadium
Hence:
5% of total number of people = 10 teenagers
5/100 × x = 10
5x/100 = 10
Cross Multiply
5x = 100 × 10
5x = 1000
Divide both sides by 5
5x/5 = 1000/5
x = 200
The total number of people in the stadium is 200
Answer: They are similar but not congruent.
Step-by-step explanation: hope this help