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)
Answer:
sells 2500 candies per month
Step-by-step explanation:
m = mints
a = almond bar
c = caramels
m = 3a
1/2 c = a
m = 3750
3a = m
a = m/3
a = 3750/3
a = 1250
1/2 c = 1250
c = 2 * 1250
c = 2500
Answer:
x = 19
Step-by-step explanation:
Vertical angles are equal
So
7x - 8 = 6x + 11
7x - 6x = 11 + 8
x = 19
I am not sure how the answer is coming up as an "m+1+ or "m<span>-1" I am a ... </span>Factor<span>: : </span>4m^2<span> -18m + 14. We can simplify this, </span>factor<span> out </span>2 2(2m^2<span> - 9m + 7) ... FOIL (</span>5m+3)(m+1) : 15m^2<span> - </span>10m<span> - 25. </span>Factor<span> out </span>5 5(3m^2<span> - 2m - </span>5<span>) </span>Factors<span> to </span>3<span>(3m - </span>5)(m<span> + 1) FOIL this to confirm it : 50m^</span>3<span> - 2m. Simplify, </span>factor<span> out 2m 2m(</span>25m^2<span> - 1)</span>
