Answer:
The second base of the trapezoid b2 is 2.5 inches
Step-by-step explanation:
Here, we want to calculate the second base of the trapezoid.
Mathematically, the area of a trapezoid can be given as;
A = 1/2(a + b) h
where a and b represents the parallel bases and h is the height of the trapezoid
so this, we have from the question
1/2(4.5 + b2) * 6 = 21
3(4.5 + b2) = 21
divide both sides by 3
4.5 + b2 = 7
b2 = 7-4.5
b2 = 2.5 inches
Answer:
Then, a=-1 and b=-1
Step-by-step explanation:
We need to solve the following system of equations using the adition method:
2a+3b=-1 (i)
3a+5b=-2 (ii)
First, we multiply the equation (i) by -3 and the equation (ii) by 2, so we get:
-6a-9b=3
6a+10b=-4
Adding the two equations we have:
-6a-9b=3
6a+10b=-4
--------------------------
0 + b = -1
Then b=-1. Now, let's substitute the value of b into equation (i):
2a+3b=-1
2a + 3(-1) = -1
2a -3 = -1
2a = 2
a = 1
Then, a=-1 and b=-1
Answer:
7. C. 6
8. H. √34
9. A. (1, 3.5)
10. J. 10
Step-by-step explanation:
7. AB = 2y, BC = 6y, AC = 48
AB + BC = AC (segment addition theorem)
Substitute the above values into the equation
2y + 6y = 48
Solve for y
8y = 48
Divide both sides by 8
8y/8 = 48/8
y = 6
8. Distance between P(2, 8) and Q(5, 3):
Let,
9. Midpoint (M) of segment LB, for L(8, 5) and B(-6, 2) is given as:
Let
Thus:
10. M = -10, N = -20
Distance between M and N, MN = |-20 - (-10)|
= |-20 + 10| = |-10|
MN = 10
Answer:
I think that it would not be in the middle in you did not put the compass on the points A and B.
Step-by-step explanation:
Answer:
16
Step-by-step explanation: