<h3>Answer:
122 degrees</h3>
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Explanation:
Angle BAC can be shortened to "angle A" since the letter A is in the middle.
Angle BCA can be shortened to "angle C" for similar reasoning.
We're told that angles A and C are base angles. For any isosceles triangle, the base angles are congruent
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Let's use this fact to solve for x.
angle A = angle C
7x+1 = 5x+9
7x-5x = 9-1
2x = 8
x = 8/2
x = 4
Once we know what x is, we can find each base angle
- angle A = 7x+1 = 7*4+1 = 28+1 = 29
- angle C = 5x+9 = 5*4+9 = 20+9 = 29
Both angles A and C are 29 degrees each, so this confirms we have the correct x value.
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The last step is to use the fact that all three angles of a triangle add to 180 degrees. This will help us find angle B, which is the vertex angle.
A+B+C = 180
29+B+29 = 180
B+58 = 180
B = 180-58
B = 122
The vertex angle is 122 degrees.
So we can say either angle B = 122, or we could say angle ABC = 122
"angle ABC" is the same as "angle CBA".
The correct answer to this is D
Answer:
Scientist B
Step-by-step explanation:
1 kg = 2.2 lbs
1L = 2.11 pints
So let's convert Scientist B's data.
3.0lbs salt = 3.0/2.2 = 1.36kg
6 pints water = 6/2.11 = 2.84L water
Scientist A
1kg salt
3.0L water
We now figure out the concentration of salt in water.
Scientist A Scientist B
1kg/3.0L = .33kg/L 1.36kg/2.84L = .48kg/L
So scientist B had a more concentrated solution.
Answer:
<h3>
3</h3>
Step-by-step explanation:
h(3) = 1
h(5) = 3
Their products :
In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument.
