Answer:
25. x=19
26. 16=x
27 28=x
28. 24=x
Step-by-step explanation:
25. The two angles make a straight line (180 degrees)
6x-17 + 3x+26 = 180
Combine like terms
9x +9 = 180
Subtract 9 from each side
9x+9-9=180-9
9x = 171
Divide by 9
9x/9 = 171/9
x=19
26. These angles are corresponding angles and corresponding angles are equal if the lines are parallel
4x+20 = 6x-12
Subtract 4x from each side
4x-4x+20 = 6x-4x-12
20 =2x-12
Add 12 to each side
20+12 = 2x-12+12
32=2x
Divide by 2
32/2 = 2x/2
16=x
27 These are alternate interior angles and alternate interior angles are equal if the lines are parallel.
4x+30 = 6x-26
Subtract 4x from each side
4x-4x+30 = 6x-4x-26
30 = 2x-26
Add 26 to each side
30+26 =2x-26+26
56= 2x
Divide by 2
56/2 = 2x/2
28=x
28. These are corresponding angles and corresponding angles are equal if the lines are parallel.
99=3x+27
Subtract 27 from each side
99-27 = 3x+27-27
72 = 3x
Divide by 3
72/3 = 3x/3
24=x
Answer:
Books Galore has the lowest unit price
Step-by-step explanation:
if you divide main streets books, 10 ÷ $5.20 = $1.92
Books galore : 6 ÷ $3.60 = $ 1.66
Substitution is where we first Isolate one of the unknowns, express it in terms of the other unknown, and replace the isolated unknown with the other unknown in another equation. So that each time we only need to deal with one unknown. I think you'll get a better idea here:
First name these 2 equations with 1 and 2.
4x + 5y = 7 (1)
y = 3x + 9 (2)
Since y is already isolated in (2), so we can skip the isolation step and continue to substitute.
Substitute (2) into (1).
4x + 5(3x+9) = 7
Expand.
4x + 15x + 45 = 7
Group.
19x + 45 = 7
Shift +45 to the other side and turn it into -45.
19x = 7 - 45
19x = -38
Shift x19 to the other side, turn it into /19.
X = - 38/19
X = - 2
Now we solved x already, we can just substitute x= - 2 back to equation (2).
y = 3(-2) + 9
y = - 6 + 9
y = 3
So, the answers are
x = - 2
y = 3
Answer: -1
Step-by-step explanation:
Subtract each fraction by each other than simplify
Since the circle is centered at the origin, we can use the equations
x² + y² = r²
x = r cos θ
y = r sin θ
We know y = 8 and r = 10. Solving for x
x² + 8² = 10²
x = 6
From this equation:
x = r cos θ
6 = 10 cos θ
cos θ = 6/10 = 0.6
