1. You have that:
- The trapezoids are similar.
- The larger base of the smaller trapezoid is 18 m and its area is 310 m².
- The larger base of the larger trapezoid is 32 m.
2. Then:
Sides=18/32
Sides=9/16
Area=(9/16)²
Area=81/256
3. Now, you can find the area of the larger trapezoid, as below:
81/256=310/x
81x=(310)(256)
x=79360/81
x=980 m²
Therefore, the answer is: The area of the larger trapezoid is 980 m².
Answer:
A or d to narrow it down
Step-by-step explanation:
Hopefully you can figure out which one I am sorry.
I think yes due to root 2 maybe I am wrong sorry id this was not helpful
Answer:
<h3>77</h3>
Step-by-step explanation:
If Point D is in the interior of <ABC, then <ABD+<BDC = <ABC
Given
<ABC = 10x - 7,
<ABD = 6x + 5
<DBC = 36
Substituting the given parameters into the formula above;
ABD+<DBC = <ABC
6x + 5+ 36 = 10x-7
6x+41 = 10x-7
collect like terms
6x-10x = -7-41
-4x = -48
divide both sides by -4
-4x/-4 = -48/-4
x = 12
To get <ABD, we will substitute x = 12 into the expression <ABD = 6x + 5
<ABD = 6(12)+5
<ABD = 72+5
<ABD =77
Hence the value of <ABD is 77
Answer:
720
Step-by-step explanation:
I will use the following counting principle:
Product rule: if there are n ways of doing something, and m ways of doing another thing, there are n×m ways of doing both things.
First, we have to choose the 3 people that will be in the first row. This is a 3-element subset of the set of six people, therefore there are
ways of doing this.
Now, we have to arrange the order of the 2 lrows. Each one has 3 people, so there are 3!=6 ways to form one rows. Hence, there are 3!²=36 ways of arranging the two rows.
By the product rule, there are 20×36=720 ways of arrange the officers.