<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.
A and D I think plz don’t get mad if I get it wrong
You have that:
- Her contribution from her salary <span>to her 401(k) plan, </span>is: 12%.
- Her annual salary is: $55,700.
Then, to solve this problem and calculate her pretax income, you must following the steps below:
1. You must calculate the amount that Violet contributed to her 401(k) plan. So, you have:
12%/100=0.12
($55,700x0.12)=$6,684
2. Now, you must subtract her annual pay ($55,700) by the amount obtained ($6,684), as below:
Pretax income= $55,700-$6,684
<span> Pretax income=$49,016
</span><span>
What is her pretax income?
The answer is: Her pretax income is </span>$49,016
Answer:
x=12 and y=4.3
Step-by-step explanation:
Given the sides of quadrilateral that are O N = 8 x − 8 , L M = 7 x + 4 , N M = x − 5 , and O L = 3 y − 6. we have to find the value of x and y so that LMNO be a parallelogram.
we know opposite sides of parallelogram are equal.
Hence, we have to find the value of x and y such that opposite sides becomes equal which implies LMNO is a parallelogram.
Equating opposite sides equal, we get
8x-8=7x+4 ⇒ 8x-7x=8+4=12 ⇒ x=12
implies, NM=x-5=12-5=7
NM=OL ⇒ 3y-6=7 ⇒ 3y=13 ⇒ y=4.3
Hence, x=12 and y=4.3
Answer:
1.28 m
Step-by-step explanation:
48/30 = x/.8
cross multiply
30x = 48(.8)
30x = 38.4
x = 38.4/30
x = 1.28 m
