Answer:
11). m∠W = 70°
12). m∠M = 95°
13). m∠Q = 135°
14). m∠Q = 55°
15). m∠X = 110°
Step-by-step explanation:
11). m∠W + m∠X = 180° [Consecutive interior angles]
(24x - 2) + (36x + 2) = 180°
60x = 180°
x = 
x = 3
Therefore, m∠W = (24x - 2)°
m∠W = (24×3 - 2)
= 72 - 2
= 70°
Since opposite angles of a parallelogram are equal in measure.
m∠Y = m∠W = 70°
12). m∠J + m∠K = 180° [Consecutive interior angles]
(6x + 19) + (8x + 7) = 180°
14x + 26 = 180
14x = 180 - 26
14x = 154
x = 
x = 11
m∠K = (8x + 7)
m∠K = 8×11 + 7
m∠K = 95°
Since m∠M = m∠K
Therefore, m∠M = 95°
13). m∠Q = m∠S [Opposite angles of a parallelogram]
x + 135 = 2x + 135
2x - x = 0
x = 0
Therefore, m∠Q = 135°
14). m∠Q = m∠S [Opposite angles of a parallelogram]
14x - 1 = 13x + 3
14x - 13x = 3 + 1
x = 4
m∠Q = (13x + 3)
= 13×4 + 3
= 52 + 3
m∠Q = 55°
15). m∠Z = m∠X
(19x - 4) = (17x + 8)
19x - 17x = 12
2x = 12
x = 6
m∠X = (17x + 8)°
m∠X = 17×6 + 8
m∠X = 110°
Have a nice day, be safe and healthy :)
Hope this helped
<u>formula: </u>
(a+b)^2
= a^2+2ab+b^2
Here, we have x^2 (as in a^2)
and -6x (as in 2ab), which, we're missing the b^2
(I'm not really sure how to describe this but bare with me)
-6/2 (-6 is from the -6x) = -3 (the b)
-3^2 = -3*-3 which is equal to 9 (positive 9)
Writing it out -
x^2-6x+9 = -5
- Addition of inequality -
Since we add 9 to the left side, we have to add 9 to the right side; which gives us:
x^2-6x+9=4
Next, lets put the x^2-6x+9 as in (a+b)^2:
(x-3)^2 = 4
<em>Then let's do the square root of equality (square rooting both sides) :</em>
<u>x-3 = 2</u>
<em>Finally lets add 3 to both sides</em>
<u>x = 5</u>
THE ANSWER IS <u><em>x=5</em></u>
<u><em></em></u>
Have a nice day, be safe + healthy - Hope this helped
Answer:
The answer is x=2-(y/2)
Step-by-step explanation:
Answer:
-1 ≤ x ≤8 (don't care about the equal sign)
Step-by-step explanation:
-6+4≤2x≤12+4
=-2≤2x≤16
=-1≤x≤8
1. The answer for the first question is 7.6 You get the answer by adding all the numbers together then dividing the answer you get by the number of items in this case there were 5 different numbers. This is how you get the mean.
2. The answer is 92.25
