WILL GIVE BRAINLIEST! Given that ℓ1 ∥ ℓ2 and y = 20°, find x. x = °

Mathematics

1 answer:

BabaBlast [244]2 years ago

3 0

X will equal 40.

EXPLANATION: since they’re parallel and these are opposite angles, add them together to equal 180.
x+(20)+3x=180.
add common variables.
4x+20=180
subtract 29 from both sides
4x=160
divide each side by 4 so isolate x
x=40

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$y \alpha x \\ y = kx \\ where \: k \: is \: the \: constant \: of \: proportionality \\ when \: y = 24 \: and \: x = 8 \\ substitute \: in \: y = kx \\ 24 = 8k \\ k = \frac{24}{8} \\ k = 3 \\ value \: of \: constant = 3$

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$general \: equation \: of \: line \\ y = mx + c \\ but \: m = \frac{2}{3} \: and \: c = 9 \\ substitute \: for \: m \: and \: c \: in \: y = mx + c \\ y = \frac{2}{3} x + 9 \\ alternatively \\ 3y = 2x + 27$