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X+y=27
x=2y
2y+y=27
y=9
x=27-y
x=27-9=18
Answer:
<h3>
∠XYZ = 102</h3><h3>
</h3>
Step-by-step explanation:
<u>1st step is to solve x from ΔWXY</u>
∠W + ∠X + ∠Y = 180
where ∠W = 5x + 2
∠X = 7x + 4
∠Y = 180 - (15x - 18)
= 198 - 15x
now plugin values into the equation:
5x + 2 + 7x + 4 + 198 - 15x = 180
combine similar terms:
5x + 7x - 15x = 180 - 2 - 4 - 198
simplify:
-3x = -24
x = -24 / -3
x = 8
<u>2nd step is to substitute x = 8 into ∠XYZ</u>
∠XYZ = 15x - 18
∠XYZ = 15(8) - 18
∠XYZ = 102
Answer:
1. Median
2. Altitude
3. Altitude
4. Neither
Step-by-step explanation:
Median- splits the side into two congruent parts
Altitude- Makes a right angle
1. Splits the side. Median
2. Makes a right angle. Altitude
3. Makes a right angle. Altitude
4. Doesn't make a right angle or split the sides. Neither
Answer:
x = r cos theta and y = r sin theta
Step-by-step explanation:
cos theta = x / r so:-
x = r cos theta
and sin theta = y / r, so
y = r sin theta
