Answer:
(a, b, c, d) = (101°, 79°, 83°, 97°)
Step-by-step explanation:
∠a is the supplement of the one marked 79°, so is ...
∠a = 180° -79°
∠a = 101°
__
∠b is a corresponding angle to the one marked 79°, so is congruent to it.
∠b = 79°
__
∠c is a vertical angle with the one marked 83°, so is congruent to it.
∠c = 83°
__
∠d is a same-side interior angle between two parallel lines, so is supplementary to ∠c.
∠d = 180° -83°
∠d = 97°
Answer:
48
Step-by-step explanation:
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I drew out each point and arrive at the conclusion that the longest side is equal to 4 and the shorter side to 3
so that means the answer is 12
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) Find the value of f(-3)
we have
we know that
f(-3) is the value of the function f(x) for x=-3
so
substitute the value of x=-3 in the function to find f(-3)
Part 2) Find the value of g(3)
we have
we know that
g(3) is the value of the function g(x) for x=3
so
substitute the value of x=3 in the function to find g(3)
Answer:
x = 21
Step-by-step explanation:
Given that SV is the angle bisector of ∠RST, then
∠RSV = ∠TSV, thus
∠RSV + ∠TSV = ∠RST ← substitute values
2x + 8 + 2x + 8 = 6x - 26, that is
4x + 16 = 6x - 26 ( subtract 6x from both sides )
- 2x + 16 = - 26 ( subtract 16 from both sides )
- 2x = - 42 ( divide both sides by - 2 )
x = 21
