Since the triangle is a right triangle at point B, then line AB is perpendicular to line BC.
For perpendicular lines, the product of their slopes is -1.
Slope of AB = (5 - 0)/(2 - 5) = 5/-3 = -5/3
Slope of BC = (y - 5)/(7 - 2) = (y - 5)/5

-5/3(y - 5)/5 = -1
-5(y - 5)/15 = -1
-5(y - 5) = -15
y - 5 = 3
y = 3 + 5 = 8

Therefore, the y-coordinate of point C is 8.

4 0

3 years ago

A mailbox that is 4 feet tall cast a shadow that is 12 feet long. A street lamp across the street is 10 feet tall. Use indirect

Free_Kalibri [48]

Proportion: 4/12=x/10
Answer: x=3 1/3

3 0

3 years ago

Read 2 more answers

A recipe calls for 3/4 lb of cream cheese. A small tub of cream cheese at the grocery store weighs 12oz. Is this enough cream ch

Vsevolod [243]

Yes this is enough cream cheese

4 0

3 years ago

Can someone please help me thank you

Step2247 [10]

Pick one coordinate point on figure 1 (-4,5)

First rotate 90 degree clockwise rule (x,y) -->(y , -x)
So (-4,5) rotate 90 degree clockwise will become (5, 4)

Then reflection over x a-xis, rule (x,y) -->(x,-y)

So (5, 4) reflection over x a-xis will be (5, -4)

Answer: first option
90 clockwise rotation around the origin, then a reflection across x - axis.

Hope it helps

6 0

4 years ago