Answer:
70
Step-by-step explanation:
we have the angle of vertex in the isosceles triangle = 180-2*bottom coner= 180-65/2=50
3 angles in the equilateral triangle are equal to 60
we have 50 + 60 +h =the angle of PQR =180
h=70
Answer:
72°
Step-by-step explanation:
From the information given:
A town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Avenue.
We are also told that there is a Trapezoid EFGH with EH as the Pine avenue and EF as the Elm street.
However, side FG and EH are parallel.
∠G = 108°
From the property of parallel lines :
since FG || EH
Then ∠G = ∠H = 108° (i.e corresponding angle will also be equal)
The required angle between Elm Street and Pine Avenue would be interior angles + 180° given that alternate angles are also equal.
The required angle between Elm Street and Pine Avenue = 180° - 108°
The required angle between Elm Street and Pine Avenue = 72°
Answer:
D = $8637.45
Step-by-step explanation:
Rate = 3.65% = 0.0365
Principal = 5000
Time (t) = 15 years
N = 12 (since its compounded monthly)
Compound interest (A) = P(1 + r/n)^nt
A = 5000(1 + 0.0365 / 12)^15*12
A = 5000(1 + 0.00304)¹⁸⁰
A = 5000(1.00304)¹⁸⁰
A = 5000 * 1.7269
A = 8634.86
The investment would worth $8634.86
Note: the final answer may vary slightly from the answer in the options due to ± from approximation
Given:
October: 8 3/8 inches
September : 60% less rain fell than in October.
This means that only 40% rain fell in September based on the amount of rain that fell in October.
8 3/8 ⇒ (8*8)+3/8 = 67/8
40% is 4/10
67/8 * 4/10 = 268/80 = 3 28/80 or 3 7/20 or 3.35
28 ÷ 2 = 14
80 ÷ 2 = 40
14 ÷ 2 = 7
40 ÷ 2 = 20
In September 3 7/20 inches or 3.35 inches of rain fell.
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