<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".
Answer:
46.67 cubic feet
Step-by-step explanation:
The formula for volume of a pyramid is
V = (1/3)Bh where B is the area of the base, and h is the height.
We are givne B = 35 and h = 4. Plug those values in and simplify...
V = (1/3)(35)(4)
V = (1/3)(140)
V = 140/3
V = 46 2/3 cubic feet, which is 46.666667, or 46.67 rounded to the nearest hundredth
The distance between them is 4.0
The equation would be 1.5-(-2.5)=d
Hope that helps?
83-13 = 70
70/2 = 35
Thomas’s mileage is 35 miles
