Answer:
115 degrees
Step-by-step explanation:
The line RQ meets at 115 degrees (Look at the bottom numbers)
It's not 65 degrees because the angle is obtuse.
Answer:
Larger number:
16
Smaller number
3
Step-by-step explanation:
Larger number: 16
Smaller number: 3
Explanation:
Suppose the larger number is
a
and the smaller number is
b
.
You solve the following system of equations:
a⋅b=48
a−13=b
Since b is a −13, you can plug that into a⋅b=48, so...a⋅(a−13)=48
a 2−13a=48
a2−13a−48=0
Factor the polynomial:
(a−16)(a+3)=0
a=16 or a=−3a is positive so a=16.
We can now solve for b by plugging in a, so...16−13=b3=b We have a=16 and b=3, meaning that the larger number is 16 and the smaller number is 3.
Y - y1 = m(x - x1)
slope(m) = -5
(4,1)...x1 = 4 and y1 = 1
now we sub
y - 1 = -5(x - 4) <===
To solve this problem you must apply the proccedure shown below:
1. You have the following points given in the problem above:

2. To find the midpoint, you must apply the formula that is used for calculate it. This is:

Where:

3. Now, you must substitute these values into the formula for calculate the midpoint, as following:

Therefore, the answer is: 