Answer:
the unknown angle is 88°
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the opposite interior angles. Therefore, in the tall triangle, 60 + 40 = 100, meaning the bottom left angle in the small triangle is 100-64=36. And b/c angle sum of a triangle is 180°, 180-36-56=88°
Answer:
See below.
Step-by-step explanation:
So, we have:

PART A:
Find the GCF. Notice that we have a 3 in every term and a p in every term. Thus, the GCF is 3p:

This is the most we can do.
PART B:
Continue from where we left off. Factor the entire expression:

Answer:
The interval is [4,7]
Step-by-step explanation:
The rate of change is given by
f(x2) - f(x1)
-------------------
x2 -x1
We want the rate of change to be 56
f(x2) - f(x1)
------------------- = 56
x2 -x1
We also know that the x2 is 7 so f(x2) = 192
192 - f(x1)
------------------- = 56
7 -x1
192 - f(x1) = 56( 7 -x1)
192 - f(x1) = 392 -56x1
Now we need to pick points from the table and see where it is true
(6,96)
192 - 96 = 392 -56*6
96=56 False
( 5,28)
192 - 28 = 392 -56*5
164=112 False
(4,24)
192 - 24 = 392 -56*4
168=168 True
The interval is [4,7]
Answer:
2341
Step-by-step explanation:
4 1/3+ 1 4/5
1. Convert to numbers with the same denominator
4 1/3= 4 5/15
1 4/5= 1 12/15
2. Add the values
4 5/15+ 1 12/15= 5 17/15= 6 2/15
Zofia spent 6 2/15 hours weeding her garden in total.
Hope this helps!