"3 less than twice 'x' " . . . . that's (2x - 3)

" 2 more than the quantity (3 x) " . . . . . that's (3x + 2)

Their product is
(2x - 3) (3x + 2) .

If you want to expand it to a single expression, perform the multiplication,
and you have
6x² - 5x - 6 .

8 0

3 years ago

In the figure, AB║CD and ∠EIA is congruent to ∠GJB Complete the following statements to prove that ∠IKL is congruent to ∠DLH.

Finger [1]

Here it is given that AB || CD

< EIA = <GJB

Now

∠EIA ≅ ∠IKC and ∠GJB is ≅ ∠ JLD (Corresponding angles)

∠EIA ≅ ∠GJB then ∠IKC ≅ ∠ JLD (Substitution Property of Congruency)

∠IKL + ∠IKC 180° and ∠DLH + ∠JLD =180° (Linear Pair Theorem)

m∠IKL + m∠IKC = 180° ....(1)

But ∠IKC ≅ ∠JLD

m∠IKC = m∠JLD (SUBTRACTION PROPERTY OF CONGRUENCY)

So we have

m∠IKL + m∠JLD = 180°

∠IKL and ∠JLD are supplementary angles.

But ∠DLH and ∠JLD are supplementary angles.

∠IKL ≅ ∠DLH (CONGRUENT SUPPLEMENTS THEOREM)

7 0

2 years ago

Read 2 more answers

Tony collected 16.2 pounds of pecans from the trees on his farm. He will give the same weight of pecans to each of 12 friends. H

netineya [11]

Answer:

1.35 pounds each

Step-by-step explanation:

16.2 divided by 12 equals 1.35

6 0

2 years ago