Answer:
1) No
2) No
3)Yes
4)No
Step-by-step explanation:
Distributive property: a(b + c) =a*b + a*c
1) 4(5c + 3) = (4*5c) + 4*3
= 20c + 12
NO
2) 2(8f - 5) = (2*8f) - (2*5)
= 16f - 10
NO
3) 3(4g + 7) = (3*4g) + (3*7)
= 12g + 21
YES
4) 6(4j - 6) =(6 * 4j) - (6*6)
= 24j - 36
NO
The point Q on a line segment with end points(2,1) and (4,2) is Q(12/5, -2/5)
<h3>What is a line segment?</h3>
A line segment is a straight line that passes through two given points.
The end points of the line determine how long or short a given line segment would be.
Analysis:
point Q(x, y )
x = 
y = 
where M :N = 4:1
x1 = 2, x2 = 4, y1 = -1, y2 = 2
x = 
= 12/5
y = 
= -2/5
In conclusion, the point Q is (12/5, -2/5).
Learn more about line segment: brainly.com/question/2437195
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Answer:
133°
Step-by-step explanation:
As vertically opposite angles are equal,
< B E D = < F E G
Therefore,
< B E D = 47°
We know that co - interior angles which occur between 2 parallel lines, are added up to 180°.
Given that, < A B E = x
Therefore,
< B E D + < A B E = 180 °
47 + x = 180
x = 180 - 47
x = 133°
Let me know if you have any other questions. :)
Answer:
the first one
Step-by-step explanation:
Answer:
x = 5
Step-by-step explanation:
The difference between consecutive terms will be equal , then
a₂ - a₁ = a₃ - a₂ , that is
x + 9 - (3x - 2) = 2x + 5 - (x + 9) ← distribute parenthesis on both sides
x + 9 - 3x + 2 = 2x + 5 - x - 9 , simplify both sides
- 2x + 11 = x - 4 ( subtract x from both sides )
- 3x + 11 = - 4 ( subtract 11 from both sides )
- 3x = - 15 ( divide both sides by - 3 )
x = 5
