Answer:
Rectangle 1 area: 53 units squared
Shape 2 area: 43.75 units squared
Step-by-step explanation:
Shape 1:
We need to find the area of the two triangles in this rectangle and subtract it from the total area of the rectangle.
Total area of the rectangle:
13 * 5 = 65
Area of triangles (they are congruent):
1/2 * 4 * 3 = 6
6 * 2 = 12
65 - 12 = 53
The area of the shaded part is 53 (I don't know what your unit of measurement is. Just say units.)
Shape 2:
First, let's find the area of the parallelogram at the top.
10 * 3 = 30
Now, let's find the area of the rest of the shape. Triangle first...
1/2 * 4 * 1.5 = 3
Now, the rectangle and the tiny triangle we can section out at the end:
7 * 1.5 = 10.5 + 1/4 (Triangle) or 0.25 = 10.75
Total area: 10.75 + 3 + 30 = 43.75
Answer:
1. Find < ACB
2. Use that triangles =180 to find <B = 41
Step-by-step explanation:
1.We need to find < ACB
<ACB +<DBC= 180 They make a straight line
Subtract DBC from each side
<ACB = 180 - <DBC
We know DCB = 113
ACB = 180 -113
ACB = 67
2.The three angles of a triangle = 180, so we can then find <B
<A +<B + <ACB = 180
72 + B + 67 = 180
Combine like terms
139+ <B = 180
Subtract 139 from each side
<B = 180-139
<B =41
First, lets observe this pattern.
We can notice that each number when multiplied by 3 gives the following number as:
4 x 3 = 12
12 x 3 = 36
36 x 3 = 108
108 x 3 = 324
Based on this, the next number in the pattern will be:
324 x 3 = 972
The right choice is:
c. 972
Hi!
We can set up proportions to solve these.
1.

2.

Cross multiply to solve for x
1. 60 x 45 = 2700
2700/100 = 27
2. 8 x 100 = 800
800/0.5 = 1600
(Tip: dividing by 0.5 is the same as multiplying by 2)
The answers are
1. 27
And
2. 1600
Hope this helps! :)
Answer:
i think it's C hope that helps
Step-by-step explanation: