<span>m∠CED = 180° − m∠DEB= 90 degrees, by reason corresponding angles of parallel lines are congruent
</span>m∠CFD = 180° − m∠AFD = 90 degrees by reason corresponding angles of parallel lines are congruent
Step-by-step explanation:
12 to the 2nd power=144
15 to the 2nd power =225
225-144=81
square root of 81 is 9
and btw go easy on his injury cowboys! till i die
Step-by-step explanation: my reasons:
The kind of dreams where you wake up and can’t stop smiling.
The smell before and after it rains.
The sound of rain against a rooftop.
The feeling you get when you’re dancing.
The person (or people) that mean the most to you. Stay alive for them.
Trying out new recipes.
The feeling you get when your favorite song comes on the radio.
Things are going to be okay. maybe not today and maybe tomorrow not but things are eventually going to be ok.
Answer: 10, 11, & 12
<u>Step-by-step explanation:</u>
Let x represent the age of the youngest child.
Their ages are consecutive so,
Youngest: x
Middle: x + 1
Oldest: x + 2
The age of the Youngest squared (x²) equals 8 times the Oldest [8(x + 2)] plus 4.
x² = 8(x + 2) + 4
x² = 8x + 16 + 4
x² = 8x + 20
x² - 8x - 20 = 0
(x - 10)(x + 2) = 0
x - 10 = 0 or x + 2 = 0
x = 10 or x = -2
Since age cannot be negative, x = -2 is not valid
So, the Youngest (x) is 10
the Middle (x + 1) is 11
and the Oldest (x + 2) is 12
M < PQS + m < RQS = 180° because they are supplementary angles.
Therefore:
(3x + 3) + (x + 19) = 180
3x — 3 + x + 19 = 180
4x + 16 = 180
Subtract 16 from both sides
4x — 16 = 180 — 16
4x = 164
Divide both sides by 4:
4x/4 = 164/4
x = 41
Therefore, the correct answer is x = 41
