If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore
ΔABC is similar to ΔADE.
The sides of smaller triangle are in proportion with sides of bigger triangle.
Therefore we have the equation:
We have AC = x, AE = x + 15, AB = 8, AD = 8 + 10 = 18.
Substitute:
<em>cross multiply</em>
<em>use distributive property a(b + c) = ab + ac</em>
<em>subtract 8x from both sides</em>
<em>divide both sides by 10</em>
<h2>Answer: AC = 12</h2>
The fence is a 8x4 fence as they multiply up to 32 square feet and 8 is double 4. If you add 8+8+4+4 you will get 24. Then you multiply the perimeter (24) by 3 to get the final cost. This means that the final cost will be $72.00.
(x-5,y+8)
the x basically decreased- to the left
and y increased- upwards
Answer:
415.8 meters
Step-by-step explanation:
We know the adjacent and the opposite, so we will use tan
tan 22 = opp/ adj
tan 22 = 168/x
x tan 22 = 168
x = 168/tan 22
x =415.81459
Rounding to the nearest tenth
415.8 meters
Answer:
18 women
Step-by-step explanation:
Sum the parts of the ratio, 7 + 2 = 9 parts
Divide 45 by 9 to find the value of one part of the ratio.
45 ÷ 9 = 5 ← value of 1 part, thus
7 parts = 7 × 5 = 35 ← number of men
2 parts = 2 × 5 = 10 ← number of women
We require to change the ratio to 5 : 4
The 5 part of the ratio represents the number of men, thus
35 ÷ 5 = 7 ← value of 1 part of the ratio, thus
4 × 7 = 28 ← number of women
Number of women required to join existing committee = 28 - 10 = 18
