Answer: w = 110° x = 83° y = 87° z = 97°
<u>Step-by-step explanation:</u>
∠(x - 13) and ∠w form a linear pair so their sum is equal to 180°
x - 13 + w = 180 → w = -x + 193
∠(x + 10) and ∠y form a linear pair so their sum is equal to 180°
x + 10 + y = 180 → y = -x + 170
∠x and ∠z form a linear pair so their sum is equal to 180°
x + z = 180 → z = 180 - x
∠x and ∠y and ∠w are the angles of a triangle so their sum equals 180°
x + y + w = 180
x + (-x + 170) + (-x + 193) = 180 Substitution
-x + 263 = 180 Add Like Terms
-x = -83 Subtracted 263 from both sides
x = 83 Divided both sides by -1
w = -x + 193 y = -x + 170 z = 180 - x
w = -83 + 193 y = -83 + 170 z = 180 - 83
w = 110 y = 87 z = 97
Step-by-step explanation:
2 m corresponds to 0.4 cm on a blueprint.
so,
2 m / 0.4 cm = 200 cm / 0.4 cm
our fun the point of view of the blueprint
0.4 cm / 200 cm
the scale on a map or blueprint is usually normed to one unit on the blueprint :
0.4/200 × f/f = 1/(200×f)
0.4 × f = 1
f = 1/0.4 = 2.5
so, our scale is
(0.4 × 2.5) / (200 × 2.5) = 1 / 500
that means 1 cm on the blueprint corresponds to 500 cm or 5 m in reality.
Answer:
-6 - square root 31, -6 + square root 31
Answer:
I'd say a
Step-by-step explanation:
I got 15xy+7y+5x
Answer:
9*(-x +2) > 0
Step-by-step explanation:
-6(2x-3)>–3x
-6 * (2*x - 3) > -3*x
-6*2*x -6*(-3) > -3*x
-12*x + 18 > -3*x
-12x + 18 + 3x > 0
-9x + 18 > 0
9*(-x +2) > 0