To move from the point (0,0) to the point (6,9) we move up 9 units and right 6 units.
Slope = rise/run
Slope = change in y / change in x
Slope = 9 / 6
Slope = 3/2
Answer:
17 kilometers
Step-by-step explanation:
The pythagorean theorm is a^2 + b^2 = c^2
In this problem we can call 8 km a and 15 km b.
Plug 8 and 15 into the pythagorean theorm to get 8^2 + 15^2 = c^2
This will give you 289=c^2
Take the square root of both sides to get c=17
Hope this helps!
Answer:
Part 1) Option C. Same side interior angles
Part 2) Option A. 
Part 3) Option B. 
Step-by-step explanation:
Part 1) we know that
If p and q are parallel
then
m<3 and m<5 are consecutive interior angles or Same side interior angles
and
Part 2) we know that
-----> by consecutive interior angles (supplementary angles)
we have that
so
substitute
Part 3) Find the measure of angle 5
we know that
Solve for x
substitute the value of x
Answer:
64°
Step-by-step explanation:
∠RQP = 46°
∠PRQ = 180° - 110° = 70°
∠PRQ + ∠RQP + <u>∠RPQ</u> = 180°
70° + 46 + <u>∠RPQ</u> = 180°
116° + <u>∠RPQ</u> = 180°
Find <u>∠RPQ</u>
<u>∠RPQ</u> = 180° - 116° = 64°
Given:
1 pack = 5 pencils and cardboard.
1 pack must be between 60 grams and 95 grams
60g < x < 95g ; where x represents 1 pack.
Card board: 15 grams.
95g - 15g = 80g maximum total weight of 5 pencils
80g / 5 = 16g maximum weight of a single pencil
60g - 15g = 45g minimum total weight of 5 pencils
45g / 5 =9g minimum weight of a single pencil
9 < x < 16 ; where x represents a single pencil in the pack.
