Answer:
40°, 60°, and 80°
Step-by-step explanation:
We know that the sum of the angles of a triangle is equal to 180°.
We can use this equation to solve for these angles:
180 = 2x + 3x + 4x
180 = 9x
20 = x
Then substitute the solution in for x to solve for the angles:
2(20) = 40°
3(20) = 60°
4(20) = 80°
Therefore, the angles are 40°, 60°, and 80°.
The value of the side c will be 5.56 cm and angle C is 32.49° and angle B is 42.51°.
<h3>What is law of cosine?</h3>
Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:
a² + b² – 2ab cos C = c²
Given triangle ABC, A = 105°, a = 10 cm, b = 7 cm.
Then we have
7² + c² – (2 · 7 · c) cos 105° = 10²
c² + 3.62c – 51 = 0
On solving, we have
c = 5.56
Then the angle C will be
10² + 7² – 2 · 7 · 10 · cos C = 5.56²
149 – 140 cos C = 30.91
cos C = 0.8435
C = 32.49°
We know that
∠A + ∠B + ∠C = 180°
105° + ∠B + 32.49° = 180°
∠B = 42.51°
Learn more about law of cosines here:
brainly.com/question/17289163
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Answer:
Derek needs to add 3/4 cups of flour.
Step-by-step explanation:
If Derek has already used 1/4 cup of flour, he needs 3 more cups of flour to get to 1 full cup of flour.
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It is easy the left side as to be ten times greater then your
right side for example my ones place is ten times greater my tens place
is ten times greater than my hundreds place and my hundreds place is ten
times greater than my thousands place i hope this will help you bye
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