Answer:
Lines p and q are parrallel.
Step-by-step explanation:
Lines are 180 degrees. We can use that to find out the other angles.
180 - 140 = 40
180 - 40 = 140
Answer:
x = 28
Step-by-step explanation:
angle 1 and angle 2 are complementary (their sum is 90°)
x + 5 + 2x + 1 = 90 add like terms
3x + 6 = 90 subtract 6 from both sides
3x = 84 divide both sides by 3
x = 28
=47.55
Divide 63.4 by 100 and multiply by 75 (works with any percentage)
Answer:
x - 53
——————
8
Step-by-step explanation:
STEP
1
:
x + 3
Simplify —————
8
Equation at the end of step
1
:
(x + 3)
——————— - 7
8
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 8 as the denominator :
7 7 • 8
7 = — = —————
1 8
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(x+3) - (7 • 8) x - 53
——————————————— = ——————
8 8
Answer:
<u><em>(-4,6)</em></u>
Step-by-step explanation:
<u><em>When rotating a point about the origin, we can simply </em></u><u><em>add and negative sign in front of both the x and y</em></u><u><em>.</em></u>
<u><em>(4,-6)</em></u>
<u><em>(-4, - -6)</em></u>
<u><em>When there are </em></u><u><em>two negatives, it automatically becomes a positive (+)</em></u>
<u><em>(-4,6)</em></u>
