Answer:
See I don't know the Answer but I Need points to ask question so Sorry
Step-by-step explanation:
The GCF of the three terms (9a, -18b and 21c) is 3
Rewrite each of the terms so 3 is a factor
9a = 3*3a
-18b = -3*6b
21c = 3*7c
So we can say...
9a - 18b + 21c = 3*3a - 3*6b + 3*7c
9a - 18b + 21c = 3(3a - 6b + 7c)
Answer: 3(3a - 6b + 7c)
If you distribute outer 3 to each of the inner terms and multiply, you'll get the original expression again.
Answer:
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction
y = 2 x + 7
Step-by-step explanation:
Let x represent the smaller number and y represent the larger number.
<h2><u /></h2><h2><u>Part 1</u></h2>
Four times a number added to 3 times a larger number is 31.
<u>It is translated as:</u>
<u>Then, solving for y:</u>
- 4x + 3y=31 ⇒ 3y= -4x+31 ⇒ y= (-4x+31)/3 = - 4/3x + 31/3
⇒ y= - 4/3x + 31/3
<u>Correct answer choice for this equation:</u>
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction
<h2><u>
Part 2 </u></h2>
Seven subtracted from the larger number is equal to twice the smaller number.
<u>It is translated as:</u>
<u>Then, solving for y:</u>
<u>Correct answer choice for this equation:</u>
y = 2 x + 7
As shown in the given figure
line a // line b ⇒ given
MR and NP are transversals
So, for ΔMOP and ΔRON , we can conclude the following
(1) ∠1 = ∠2 ⇒⇒⇒ alternative angles are congruent
(2) ∠ MOP = ∠ RON ⇒⇒⇒ vertical angles are congruent
(3) ∠ 4 = ∠ 3 ⇒⇒⇒ alternative angles are congruent
So, from 1,2 and 3
∴ ΔMOP <span>~ </span>ΔRON by AAA-Rule
Step-by-step explanation:
you collect like terms from both sides that is, the variables on one side and the constants on the other side
