Answer:
see explanation
Step-by-step explanation:
∠TRV = ∠SRW ( vertical angles ), hence
2x + 15 = 85 ( subtract 15 from both sides )
2x = 70 ( divide both sides by 2 )
x = 35
Hence
∠VRU = 2x + 10 = ( 2 × 35) + 10 = 70 + 10 = 80°
and
∠URW + ∠VRU + ∠SRW = 180 ( sum of angles in a straight line ), thus
∠URW + 80 + 85 = 180
∠URW + 165 = 180 ( subtract 165 from both sides )
∠URW = 15°
Answer:
3, 6, 9, 12
4, 8, 12, 16
8, 16, 24, 32
15, 30, 45, 60
Step-by-step explanation:
multiply each number by itself
Answer:
<u>BC = 3.1666</u>
Step-by-step explanation:
To solve this you need to know that cosine∅ = adjacent/hypotenuse. We already know that hypotenuse = 5 and that ∅ = 70*. By substituting these in you will get cosine 70* = adjacent/5. Evaluate cosine 70* on the calculator and get 0.633... Multiply both sides by 5 and get adjacent is about equal to 3.1666. Because BC is the adjacent side of the triangle, this is the length of BC.
Answer:
x = 25
Step-by-step explanation:
We know that the remaining angles add up to 90°, because the right angle (triangles have 180° total.)
2x + 15 + x = 90 | Given
3x + 15 = 90 | Combine x
3x = 75 | Subtract 15
x = 25
