Answer: 112 degrees
Step-by-step explanation: In this problem, we are trying to find the m<5.
Notice that <2 and <3 are vertical angles which means they are congruent.
So we know that the m<3 is 68 degrees.
Now, notice that <3 and <5 are same side interior angles because
they lie on the same side of the transversal and on interior of lines a and b.
Now, it's important to understand that
same side interior angles are supplementary.
So we can setup the equation 68 + m<5 = 180.
Subtracting 68 from both sides, we have the m<5 = 112.
So the m<5 is 112 degrees.
Answer: Length = 13 ft. , Width = 9 ft.
Step-by-step explanation:
Rectangle area = Length x width
Area = 117 ft.
Length = x + 4
Width = x
To solve
(x)(x + 4) = 117
x^2 + 4x = 117
x^2 + 4x - 117 = 0
(x - 9)(x + 13)
x = 9, -13
x = 9 <em>(measurement cannot be negative)</em>
Length
x + 4
9 + 4 = 13
Hi there!
We are given two ordered pairs which are:
If you are curious how do I get these ordered pairs, they come from those two big circles or dots. x and y make relation and can be written as (x,y).
1. Find the slope
- Yes, our first step is to find the slope of a graph if you want to find an equation. You may be curious how to find that right? No worries! We have got a special formula for you to find the slope!

Since we have two given points, we can substitute them in the formula.

2. Form an equation.
- Since we have finally found, got or evaluated the slope. Next step is to find the y-intercept. Oh! Before we get to form an equation, do you know the slope-intercept form? We will be using that linear equation form since it is commonly used in the topic.

Where <u>m</u><u> </u><u>=</u><u> </u><u>s</u><u>l</u><u>o</u><u>p</u><u>e</u> and <u>b</u><u> </u><u>=</u><u> </u><u>y</u><u>-</u><u>i</u><u>n</u><u>t</u><u>e</u><u>r</u><u>c</u><u>e</u><u>p</u><u>t</u><u>.</u> We substitute m = 4/5.

Next thing to remember is that when the graph intersects an origin point, b-term or y-intercept would be 0. Therefore b = 0 since the graph intersects (0,0).

3. Answer
- Therefore the equation of the line is y = 4x/5.
Answer:
large
Step-by-step explanation:
3.95 divided by 12 = 0.33
4.25 divided by 16 = 0.27
4.55 divided by 20 = 0.2275
the 20oz is the least unit price
Complete Question
The diagram for the question is shown on the first uploaded image
Answer:
The final position of Karel is shown on the second uploaded image
Step-by-step explanation:
On the diagram the dot represents steps to be taken by Karel
Now after Karel the Dog has moved forward three spaces, Karel will be standing on a ball, so Karel will turn right move forward two spaces
So the final position of Karel is shown on the second uploaded image