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:
Step-by-step explanation:
The temperature at a given altitude is
y = 36 - 3x
The temperature on the surface of the planet is the point (0,t) where t is the temperature for the given height.
y = 36 - 3*0
y = 36
So at the surface of the planet is 36 degrees C.
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Effectively it is the slope of the equation which is - 3
So ever km going up will mean a loss of 3 degrees. I think they want you to write -3
Answer:
$150,000
Step-by-step explanation:
The first step is to calculate the total number of units
= 2 +1 +2
= 5
If he buys at the rate of $30,000 for one unit then the total money spent on advertising can be calculated as follows
= 30,000 × 5
= 150,000
Hence the promoter spends $150,000 on advertising
I am pretty sure it is 50 by 64 centimeters but if it is not I am really sory for the mistake.
Answer:
f
Step-by-step explanation:
You know that:
X is congruent to angle Z which means they are the same size
the straight line below is equal to 180
Y is a right angle so its equal to 90
So that means:
if x and z are equivalent that means they are equal to 2x essentially
and if you add 90 you will get the total of the line
Hope this helps!!! :)
