Answer:
x = 10
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠CBD is an external angle of the triangle, thus
4x + 30 = 2x + 10 + x + 30, that is
4x + 30 = 3x + 40 ( subtract 3x from both sides )
x + 30 = 40 ( subtract 30 from both sides )
x = 10
In this question, we're trying to find out how much Jamal spent on apples.
We know that he bought 2 pounds of red apples and 3.2 pounds of green apples.
We also know that each pound of apples, no matter what kind it is, are $1.65 a pound.
In order to find the total cost of these apples, we would need to multiply the amount of pounds he has to the cost per pound.
Solve:
2 · 1.65 = 3.30
3.2 · 1.65 = 5.28
Add those numbers together:
5.28 + 3.30 = 8.58
This means that Jamal spent $8.58 on apples.
Answer:
$8.58
Since there isn't a line under the < sign, this means that we used a dotted or dashed line. The dotted or dashed line indicates that we do NOT include the boundary as part of the solution set.
Since y is isolated and we have a less than sign, this means we shade below the dashed/dotted boundary line. Specifically, the boundary line is the graph of y = 2x+1. This boundary line goes through (0,1) and (1,3). Again, points on this boundary line are NOT part of the solution set.
So in summary we have:
A dashed or dotted boundary line
The shaded region is below the dashed/dotted boundary line.
Answer:

Step-by-step explanation:
we know that
The <u><em>Midpoint Theorem</em></u> states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.
so
In this problem

solve for x
Multiply by 2 both sides

subtract 2x both sides


Adds 1 both sides
