Answer with Step-by-step explanation:
(3.a) GCD(343,550), LCM(343, 550).
343=7×7×7
550=5×5×2×11
GCD(343,550)=1
LCM(343,550)=7×7×7×5×5×2×11=188650
(3.b) GCD(89, 110), LCM(89, 110).
89=1×89
110=5×2×11
GCD(89, 110)=1
LCM(89, 110)=89×5×2×11=9790
(3.c) GCD(870, 222), LCM(870, 222).
870=2×3×5×29
222=2×3×37
GCD(870, 222)=2×3=6
LCM(870, 222)=2×3×5×29×37=32190
Answer:
∡ ONQ and ∡ PQN
Step-by-step explanation:
Alternate interior angles are formed by a transversal intersecting two parallel lines . They are located between the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate interior angles. Alternate interior angles are congruent, meaning they have equal measure.So last one is the answerer
Can you send a picture by chance?
Answer:
3
Step-by-step explanation:
Get rid of fractions:
Multiply the whole equation, i.e. all terms both sides of the equals sign, by the denominator or the lowest common multiple of all denominators if there are multiple fractions in the equation;
In this case, only one term is a fraction and therefore has a denominator (i.e. 7), so it is this number we multiply the equation by to get:
7(y) = 7(-³/₇.x) + 7(3)
7y = -3x + 21
3x + 7y = 21
Let's see what the options look like when we multiply the expressions in brackets:
(first, i multiply both parts of the second bracked by the first part of the first bracket, and then the same with the second part of the first bracket:
<span>(1) (3x - 3)(x - 2))
3x2 +6x -3x +6// this is not correct
(2) (3x + 3)(x - 2) </span>
3x2-6x+3x-6//this is not correct
(3)
3(x + 1)(x - 2)
3(x2-2x+x-2)//simplifying:
3(x2-x-2)//multiplying:
3x2-3x-6)
- so this is not correct either
(4) 3(x - 1)(x - 2)
3(x2-2x - x + 2)
3(x2-3x +2)
3x2-9x +6 - well, here is our winner!
