Answer:
I can't draw number 1 and 2, but
1. 6 stacked cubes
2. 10 stacked cubes
3. f=6, e=10, v=6
4. f=5, e=12, v=8
5. f=6, e=12, v=8
Answer:
a. m<B = 100°
b. m<L = 55°
c. Scale factor = 9/11
Step-by-step explanation:
a) Similar triangles have their three corresponding angles congruent to each other, while the ratio of their corresponding sides are proportional to each other.
Since ∆ABC ~ ∆GLJ, therefore,
<A = <G,
<B = <J
<C = <L
m<J = 100° (given)
Therefore,
m<B = m<J = 100°
m<B = 100°
b) m<A = m<G
m<A = 25° (given)
Therefore,
m<A = m<G = 25°
m<G = 25°
m<L = 180° - (m<J + m<G)
Substitute
m<L = 180° - (100° + 25°)
m<L = 55°
c) scale factor of smaller triangle to the larger = side length of smaller triangle / corresponding side length of bigger triangle
Scale factor = AB/GJ
Substitute
Scale factor = 18/22
Simplify
Scale factor = 9/11
Answer:
Electricity bill is 175
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Step-by-step explanation:
Given
monthly
Required
Determine the electricity bill
If each roommate pays 425, then 5 roommates pay 5 * 425
This implies that: the monthly cost of room, gas and electricity add up to 2125.
In other words,
<em>Hence, the electricity bill is 175</em>
Answer:
AOC = 124°
Step-by-step explanation:
Angle on a straight line is 180°, therefore, the sum of the three angles shown is 180;
This can be written like so:
(3x + 94) + (x + 30) + (2x - 4) = 180
This equation can be solved to find x:
6x + 120 = 180
6x = 180 - 120
6x = 60
x = 10
AOC = 3(10) + 94
= 30 + 94
= 124
Answer:
286 2/3 km
Step-by-step explanation:
Recalling that 1 hour = 60 minutes, we convert '3 hours 35 minutes' to
3 + (35/60) hours, or 3 35/60 hours, or 3.5833 hours.
Since distance = (rate)(time),
the distance driven by tim is (80 km/hr)(3.5833 hrs) = 286 2/3 km
