Y is in direct proportion to x. x = 25, y = 5. Find the value of y, if x = 9.
2 answers:
Answer:
y = 1.8
Step-by-step explanation:
given y is in direct proportion to x then the equation relating them is
y = kx ← k is the constant of proportion
to find k use the condition x = 25, y = 5 , then
5 = 25k ( divide both sides by 25 )
=
= 0.2 = k
y = 0.2x ← equation of proportion
when x = 9 , then
y = 0.2 × 9 = 1.8
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Answer:
x = 35
y = 7
Step-by-step explanation:
See how the image looks like two overlapping triangles. It is given that the triangles are congruent. Its easier to see whats what if you draw the triangles separately. I also flipped over the triangle on the right so they match. Record the given angle measures. Since A is 45° then D is also 45°. DBC is 30°, so we can find the missing angle in triangle DBC. Angles in a triangle add up to 180° so
C + 45 + 30 = 180
C + 75 = 180
C = 105°
This is angle DCB.
Now all the angles are marked. We can set up equations to find x and y. see image.
