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.
It's always easier to understand a concept by looking at specific examples with pictures, so I suggest looking at the dilation examples below first...before you try to internalize the steps listed below and that explain the general formula for dilating a point with coordinates of (2,4) by a scale factor of <span><span>12</span><span>12</span></span>.
<span><span>1) multiply both coordinates by scale factor<span>(<span><span>2⋅<span>12</span>,4⋅<span>12</span></span><span>2⋅<span>12</span>,4⋅<span>12</span></span></span>)</span></span><span>2)
2. Simplify(1,2)</span><span>3)
3. Graph(if required)<span> </span></span></span>
Answer:
a = 5
Step-by-step explanation:
If it's easier for you, you can replace n(a) with y and put a as x.
Now the equation is y = 7x + 4.
It asks you to put in 39 as y.
39 = 7x + 4.
To solve this, the goal is to isolate the variable on one side. The first step I see is to subtract the 4 from both sides.
35 = 7x
Now divide both sides by 7 and we're done!
5 = x
Answer:
80 is less than or equal to 22+7x
8 DVDs
Step-by-step explanation:
I don't have the inequality signs sorry if you don't know its the symbol thats opening to the left with a line underneath
80 is less than or equal to 22+7x
subtract 22
58 is less than or equal to 7x
divide and flip the sign to the right
x is greater than or equal to 8.29
so he can buy 8 DVDs in total
Jenny average swimming speed was 2.5 km/h, her average biking speed was 24 km/h and her average running speed was 12 km/h.
<h3>Speed</h3>
Speed is the ratio of total distance travelled to total time taken. It is given by:
Speed = distance / time
Let a represent the average swimming speed, b the average biking speed and c the average running speed.
Her average biking speed was 2 times her average running speed, hence:
Her average running speed was 8 times her average swimming speed. Hence:
Total distance of the triathlon was 55.5 kilometers. Hence:
a * 1 hour + b * 1.75 hour + c * 1 hour = 55.5 (3)
From equation 1, 2 and 3:
a = 2.5, b = 24, c = 12
Jenny average swimming speed was 2.5 km/h, her average biking speed was 24 km/h and her average running speed was 12 km/h.
Find out more on speed at: brainly.com/question/6504879
