a. The GCF of 18 and 21 is<em> </em><em>3.</em>
18 +21 = <em>6 x 3 + 7 x 3 = 3(6 + 7)</em>
b. The GCF of 56 and 35 is <em>7.</em>
56 + 35 = <em>7(8 + 5)</em>
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<em>Hope I helped!</em>
<h3>
Answer: 26</h3>
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Explanation:
a = 26 and b = 26 are the congruent legs
angle C = 60 degrees is between sides 'a' and b
c = unknown base which is opposite angle C
We'll use the law of cosines to find this missing side.
c^2 = a^2 + b^2 - 2*a*b*cos(C)
c^2 = 26^2 + 26^2 - 2*26*26*cos(60)
c^2 = 676
c = sqrt(676)
c = 26
It turns out that all three sides are the same length (26), which means this isosceles triangle is really equilateral. Consequently, it means all three interior angles are 60 degrees each.
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Here's another way to see why we have an equilateral triangle.
The vertex angle is 60 degrees. Let x be the measure of each base angle. Those two base angles add to the 60 degrees to get 180
x+x+60 = 180
2x+60 = 180
2x = 180-60
2x = 120
x = 120/2
x = 60
Each base angle is 60 degrees, so all three angles are 60 degrees. This points us to the triangle being equilateral and we can say all three sides are 26 units long.
If we didn't have an equilateral triangle, then we'd have no choice but to use the law of cosines mentioned earlier.
Answer:
a) 5
b) 42
Step-by-step explanation:
a) any number multipled with 1 is the number itself
b) if you add 6 seven times you get 42
Answer:
Step-by-step explanation:
Prime factorize 20 and 45
Answer:
The second option
Step-by-step explanation:
the range is all the y vaules
