Given: quadrilateral talk is a parallelogram. prove: ta congruent lk and al congruent kt

Proved by ASA congruence rule.

Step-by-step explanation:

Given the parallelogram TALK. We have to prove that TA is congruent to LK and AL is congruent to KT.

∵ TALK is a parallelogram,

AL is parallel to segment TK and TA is parallel to KL and Line TL is a transversal.

⇒ ∠1 ≅ ∠ 4 and ∠2 ≅ ∠ 3

In ΔTLK and ΔTLA

∠1 = ∠ 4      (∵Alternate angles)

∠2 = ∠ 3      (∵Alternate angles)

TL=TL          (∵Common)

By ASA rule, ΔTLK ≅ ΔTLA  

∴ By CPCT(Corresponding Parts of Congruent Triangles), TA ≅ LK and segment AL ≅ KT

Hence Proved

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.