Answer:
The area is 15 feet
Step-by-step explanation:
So you are going to need two different equations-
l = w(3)
2l + 2w = 40
Insert the first equation into the second-
2(3w) + 2w = 40
Simplify this equation-
6w + 2w = 40
8w = 40
Divide both sides by 5
w = 5
Solve first equation
l = 5(3)
l = 15
Then find the area-
5 x 15 = 75
Answer:
Option A
Step-by-step explanation:
Line EC splits the angle into two equal angles so it is an angular bisector of DEF.
35% off means that now it costs 100%-35%=65% of the original price
<span>£78 ---- 65%
x------100%
x=78*100/65=120</span>£<span>
or
part/whole=0.65
78/whole=0.65
whole =78/0.65 =120 </span>£
The house wall, the ground and the ladder form a right triangle, where the ladder is the hypotenuse.
Ladder = sqrt (25^2+10^2) =5sqrt(29)
Answer: ∠B = 42° ∠A = 23° ∠F = 115°
Step-by-step explanation:
∠B≅∠C alternate interior angles 42°
∠CDF is supplementary to ∠CDE,
so m∠CDF = 23° and ∠FAB≅∠CDF so m∠FAB= 23°
<em>also ∠A ≅ CDE corresponding angles 157° ∠FAB is suplementary to ∠A </em>
<em>so 180 - 157 = 23 gives the m∠FAB</em>
The sum of the angles of a triangle is 180°, so m∠AFB = 180 -(23 +42)
180- 65 = 115 = m∠F
