Okay, so the angle of K is 45° (180 - 135).
Draw a line that goes straight down from angle L and let's say that point is point Z. You can see that this triangle can be separated into two special triangles: the 45 45 90 triangle on the left (ΔLKZ) and the 30 60 90 triangle (ΔLMZ) on the right.
I don't know if you've learned this yet (just google them if you're confused): - for a 45 45 90 triangle the sides are x, x, and x√2. - for a 30 60 90 triangle the sides are x, 2x, and x√3.
Since we know that LM is 20√3, using the 30 60 90 trick, you can see that LZ is 10√3 and MZ is 30.
Next, since LZ is 10 sqrt(3), using the 45 45 90 trick, <em>KL is 10√6</em> and KZ is 10 sqrt(3). Therefore, KM = KZ + MZ = <em>10√3 + 30</em>
<u>The answer: KL is 10√6, KM is 10√3 + 30</u>
(I'm sorry it's such a long explanation, pictures would have been better)
Equilateral triangle
Explanation:
All of the sides are equal
<span>87 24/25 ...this is a mixed fraction ..so in order to get in in decimal we first need to convert it into unlike fraction ..for that we do the following ...
</span>
<span>87 24/25
</span>=> multiply the whole number and the denominator ..
=>87 X 25 = 2175
=>now add the numerator to this product ...
=>2175 + 24 = 2199 ..
=> so now we get an unlike fraction which when we divide we get the answer in decimals ..
=> 2199/25 = 87.96 ...
that is ... 87 24/25 in decimals ...
Hope it helps !!!
Answer:
Number of leashes Bob can make in 2 hours = 7
Number of leashes Bob can make in 1 hour = 7÷2 = 3.5
Let, Bob takes total x hours.
Number of leashes Nina can make in 1 hour = 4
Let, Nina takes total x hours.
∴ The equation that can be used to find the number of hours it takes bob and Nina to make 60 leashes is given by-
3.5x+4x = 60.
7.5x = 60
This equation can be used to find the number of hours taken by Bob and Nina by putting different values of x and y which satisfies above equation.
Base*height you multiply the base and height together