Answer:
20.25
Step-by-step explanation:
Answer:
1) triangles are similar
Step-by-step explanation:
The height from vertex X of isosceles ∆WXY is 4 units. The width WY is also 4 units. In isosceles ∆UVW, the height from vertex V is 6 units, and the width UW is also 6 units.
The height ratios are ...
∆WXY/∆UVW = 4/6
The width ratios are ...
∆WXY/∆UVW = 4/6
The measures of ∆WXY are proportional to those of ∆UVW, so the triangles are similar.
_____
Strictly speaking, you cannot go by triangle height and width alone. That is why we made not of the fact that the triangles are <em>isosceles</em>. When base and height of an isosceles triangle are proportional, the Pythagorean theorem guarantees that side lengths are proportional. Trigonometry can also be invoked to support the claim that angles are congruent.
Answer:
2.25 kg
Step-by-step explanation:
6 x 375 = 2250
1 kg = 1000 g
⇒ 2250 ÷ 1000 = 2.25 kg
You divide 5 and 16 to get the answer: 0.3125.
Okay. so I'm gonna assume you know what factor out means--were gonna take out 5/6. what we need to know is, how does that affect our ending number 2/3? well, we're gonna have 5/6 times some stuff first off, right?
5/6 ( )
so what's in the parenthesis? well, if we distribute in our mind, S would just have to be by itself for it to work out. so we have
5/6 ( s )
but what about 2/3? well, if we're multiplying everything on the inside by 5/6, how can be get it to cancel and leave 2/3 alone? we could divide 2/3 by 5/6, right?
5/6 ( s + (2/3) / (5/6) )
now, when we distribute our 5/6, we'll have just 2/3 at the end. now let's simplify that end term so it looks a little better. if we divide by a fracion, that's the same as multiplying by the flipped version, so let's do that.
2/3 / 5/6 = 2/3 × 6/5 = 2 (6) / 5 (3) = 12/15
we can reduce 12/15 by dividing the top and bottom by three.
= 4/5
so our final answer would be:
5/6 [S + 4/5] you can redistribute to make sure it matches. Anyway, hope that helps!
