1. points b, d, and f are midpoints of the sides of △ace. ec = 38 and df = 16. find ac. the diagram is not to scale.

2.
−−→
df bisects ∠edg. find fg. the diagram is not to scale.
plz 20 points

1) AC = 32

2) FG = 14

Step-by-step explanation:

1) In Δ ACE

∵ D is the mid-point of EC

∵ F is the mid-point of AE

∴ FD // AC and FD = 1/2 AC

∵ FD = 16

∴ AC = 16 × 2 = 32

2) In the two triangles DEF and DGF

∵ m∠ DEF = m∠DGF = 90°

∵ m∠EDF = m∠GDF ⇒ DF bisects angle EDG

∵ DF is a common side

∴ The two triangles are congruent

∴ EF = GF

∵ EF = n + 9

∵ GF = 4n - 6

∴ 4n - 6 = n + 9 ⇒ 4n - n = 9 + 6

∴ 3n = 15 ⇒ ∴ n = 15 ÷ 3

∴ n = 5

∴ FG = 4(5) - 6 = 20 - 6 = 14

f(x)=2/3x+4/3 is the answer because is whose power in the senate is equal to the power of the speaker of the house?

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have