Answer:
x = 5.4
Step-by-step explanation:
since the figures are scaled factors of each other then they are similar.
the ratios of corresponding sides are therefore in proportion, that is
= ( cross- multiply )
4x = 21.6 ( divide both sides by 4 )
x = 5.4
Answer/Step-by-step explanation:
1. An isosceles ∆ has two equal sides. The base angles of an isosceles ∆ are also equal.
Therefore:
m<U = 54° (base angle of isosceles ∆)
m<T = 180 - (54 + 54) (sum of ∆)
m<T = 72°
2. ∆LMN is an isosceles ∆, therefore:
m<M = ½*(180 - 28) = 76°
m<N = m<M (base angle of isosceles)
m<N = 76°
3. ∆FEG is an isosceles ∆, because it has two equal base angles.
Therefore:
EF = FG
EF = 18 in
m<F = 180 - (23 + 23) = 134°
4. ∆PQR is an equilateral ∆. All sides and angles of an equilateral ∆ are equal.
Therefore:
m<P = 60°
m<Q = 60°
m<R = 60°
5. 4x + 23 = 10x - 1 (2 asides of an isosceles ∆ are equal)
Collect like terms
4x - 10x = -23 - 1
-6x = -24
Divide both sides by -6
x = 4
6. 2*(9x - 25) = 180 - 104 (base angles of isosceles ∆)
18x - 50 = 76
Add 50 to both sides
18x = 76 + 50
18x = 126
Divide both sides by 18
x = 7
7. 5x - 7 = 8x - 55 (base angles of an isosceles)
Collect like terms
5x - 8x = 7 - 55
-3x = -48
Divide both sides by -3
x = 16
8. 4x + 8 = 60° (angle of an equilateral ∆)
Subtract 8 from each side
4x = 60 - 8
4x = 52
Divide both sides by 4
x = 13
Answer:
B. -3
Step-by-step explanation:
Answer:
y = (9/5)x - 9.6 in slope intercept (not sure if this counts as reduced?) and y + 6 = 9/5 ( x - 2 ) point slope
Step-by-step explanation:
We need to find the point slope formula. This is y-y1 = m(x-x1). First, we need to find the slope, and we can start to begin to make our equation from there. Slope = rise/run, so 9/5 should be our slope.
y - y1 = 9/5(x - x1) is our new eqn.
Then, we can put one of the points from our line into our eqn, since both pass through our eqn, we can use either point for our calculations.
Sticking with just the first point and substitutuing in values, we get:
y + 6 = 9/5 ( x - 2 ) and now we have to simplify.
y = 9x/5 - 18/5 - 6
y = 9x/5 - (15/5 + 3/5) - 6
y = 9x/5 -3.6-6
y = 9x/5 -9.6
Answer:
I know A is one of them, not sure about the others, sorry
Step-by-step explanation: