Answer:
x = 3
Step-by-step explanation:
we can use the Pythagorean theorem to solve this problem
x^2 + 4^2 = 5^2
x^2 + 16 = 25
x^2 = 9
x = +/- 3
we take only the positive value because a length can‘t be negative
x = 3
The initial value is how much he starts out with, and it says he has $32
So the initial value is B, $32
Answer:
86 degrees
Step-by-step explanation:
For triangle the sum of angles is equal to 180 degrees
so,
x+(x-35)+43=180
2x -35+43=180
2x = 180-43+35
2x = 172
x = 86
Answer:
θ = 38°
Step-by-step explanation:
The lower right triangle is congruent to the upper left triangle, so we have θ and 20° being the two acute angles in the triangle. The law of sines tells you ...
sin(θ)/9 = sin(20°)/5
sin(θ) = (9/5)sin(20°)
θ = arcsin(9/5·sin(20°)) ≈ 38°
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Another solution to the triangle is θ = 180° -38° = 142°. The diagram clearly shows θ as an acute angle, so we take this second solution to be extraneous.
“what is the sum of the angles of a triangle” 180 degrees
