9514 1404 393
Answer:
36°
Step-by-step explanation:
The two halves of the bisected angle are congruent:
∠PQS = ∠RQS
3x = 2x +6
x = 6 . . . . . . . . . . subtract 2x
3x = 3(6) = 18 . . . . . half of angle PQR
∠PQR = 2(18°) = 36°
Answer:
57.2 minutes
Step-by-step explanation:
One way in which to solve this problem is to write and solve an equation of ratios:
6.5 mi x
------------ = -----------
10 mi 88 min
Cross-multiplying, we get:
10x = 572
Then x = 57.2 minutes (to run this 6.5 mile race)
Answer:
The PV of an ordinary annuity with 10 payments of $2,700 if the appropriate interest rate is 5.5% is $20,352.
Step-by-step explanation:
P = PMT [(1 - (1 / (1 + r)
)) / r]
= 2,700 [(1 - (1 / (1 + 0.055)
)) / 0.05]
= 2,700 [(1 - (1 / (1 + 0.055)
)) / 0.05]
= 2,700 [(1 - (1 / (1.708)) / 0.05]
= 2,700 [(1 - 0.58)) / 0.05]
= 2,700 [(0.41457) / 0.05]
= 2,700(7.53)
=$ 20,352
Product is the result of two numbers multiplied, and some of your answers are not multiplied
Answer:
64°
Step-by-step explanation:
KJ = KL, KM is common, and ∠JKM = ∠LKM, so the triangles are congruent.
∴ ∠ J = ∠L = 58°
The three angles of a triangle add up to 180°.
∠J + ∠L + ∠LKJ = 180°
58° + 58° + ∠LKJ = 180°
116° + ∠LKJ = 180°
∠LKJ = 180° - 116°
= 64°