- Burns Complete the missing parts of the paragraph proof.
Given: ADFE is isosceles with base FE; FB EC.
Prove: ADFB - ADEC
D
We know that triangle DFE is isosceles with base FE
and that segment FB is congruent to segment EC
because
Segment DF is congruent to segment by the
definition of isosceles triangle. Since these segments
are congruent, the base angles, angles
are congruent by the isosceles
triangle theorem. Therefore, triangles
are congruent by SAS.
F C
BE

what are the statements

step-by-step explanation:

if x decreases by 4 then y increases by 10

step-by-step explanation:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

5

step-by-step explanation: