Answer:C) ∠ 1 and ∠ 4
Step-by-step explanation:
Given: A diagonal support beam is attached to the gate of a fence.
If the top and bottom sides of the gate to be parallel , then the alternate interior angles must be congruent.[ because if two lines are parallel the alternate interior made by transversal must be congruent]
Thus, C is the right option as ∠ 1 and ∠ 4 are the only alternate interior pair given in options .
Answer:
x=3, y=22. (3, 22).
Step-by-step explanation:
-5x+3y=51
y=10x-8
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-5x+3(10x-8)=51
-5x+30x-24=51
25x-24=51
25x=51+24
25x=75
x=75/25
x=3
y=10(3)-8
y=30-8
y=22
Answer:
Given the equation: 4(2x-1)+5 = 3+2(x+1) .....[1]
Distributive property states that when a number is multiplied by the sum of two numbers, then the first number can be distributed to both of those numbers and multiplied by each of them separately.
i.e,
Applying distributive property, in [1]we get;
Simplify:
.....[2]
Like terms are those terms that have the same variables and powers
Combine like terms on each side in equation [2];
8x +(-4+5) = (3+2) +2x
Simplify:
8x + 1 =5 + 2x
The terms which Carey combine are; -4 +5 and 3 + 2
Answer:
B. 7/4
Step-by-step explanation:
Slope Formula:
Plug in the coordinates:
m = (15 - 8)/(9 - 5)
m = 7/4
U= 9 divide by 6
U=9/6
=3/2