Answer:
m<FED=60, m<DEN=120
Step-by-step explanation:
m<FED=60
This is because <GEN and <FED are vertical angles.
Vertical angles are always congruent.
Vertical angles are formed by a pair of intersecting lines, and are the angles directly across from one another.
m<DEN=120
This is because <DEN and <GEN are supplementary.
Supplementary angles add up to 180 degrees.
We know this because a straight line is always 180 degrees.
So:
m<DEN+m<GEN=180
m<DEN+60=180
m<DEN=120
Sorry dont know, any thing else you need help with?
Answer:
a₂ = -3
a₃ = -1
Step-by-step explanation:
We have to insert two arithmetic means between -5 and 1
Let a₁ and b₂ be the two arithmetic means between -5 and 1
-5, a₂, a₃, 1
Here,
We know that the nth term of an Arithmetic sequence
aₙ = a₁ + (n-1)d
a₄ = -5 + (4-1)d
1 = -5 + 3d
1 + 5 = 3d
3d = 6
Dividing both sides by 2
d = 2
Also
a₂ = a₁ + (2-1)d
a₂ = -5 + d
a₂ = -5 + 2 ∵ d = 2
a₂ = -3
a₃ = a₁ + (3-1)d
a₃ = -5 + 2d
a₃ = -5 + 2(2) ∵ d = 2
a₃ = -5 + 4
a₃ = -1
Thus,
a₂ = -3
a₃ = -1
Thus, the sequence becomes:
-5, -3, -3, 1
Answer:
-5
Step-by-step explanation:
Answer:
<h2>x = 7</h2>
Step-by-step explanation:
The whole triangle and the small triangle are similar. Therefore the sides are in proportion.
We have the equation:
