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:
Mean travel time = 10.33 minutes
Step-by-step explanation:
The mean of a distribution is a measure of central tendency that shows the centre of a set of data. Mathematically, it is represented as:
Mean = Sum of the terms ÷ Number of terms
Mean = (10 + 13 + 16 + 5 + 4 + 14) ÷ 6
Mean = 62 ÷ 6 = 10.33
∴ Mean travel time = 10.33 minutes
N:B 10.33 minutes = 10 minutes + 0.33 minutes
converting 0.33 minutes to seconds
1 minute = 60 seconds
∴ 0.33 minute = 60 × 0.33 = 19.8 seconds
∴ Mean time = 10 minutes 20 seconds
Answer:
It will be an equilateral triangle and the area is 1924.5 sq. meters.
Step-by-step explanation:
If the total length of the fencing of 200 meters is utilized then the perimeter of the triangle will be 200 meters.
Now, we know that the type of triangle that gives the maximum area for a given perimeter is an equilateral triangle.
So, the equilateral triangle with a perimeter of 200 meters will have side lengths of 
meters.
Now, the area of an equilateral triangle with sides a units is given by 
sq. units.
So, the area of the above equilateral triangle will be = 
sq. meters. (Answer)
Answer:7
Step-by-step explanation:
N=8
Divide:56/8=7
Answer:
T-shirt
Step-by-step explanation:
T-shirt because she has to pay bills.
Hope this helps plz hit the crown ;D
