Answer:
Step-by-step explanation:
a.
<K = <M = 50 ...Opposite angels are congruent
<K + <L = 180...Consecutive angles are supplementary
50 + <L = 180 so <L = 180 - 50 = 130
<L = <N = 130...Opposite angels are congruent
50 + <N = 180 so <N = 180 - 50 = 130
b.
MN = LK = 7...Opposite sides are congruent
KN = LM = 10...Opposite sides are congruent
Answer:
67.5°, 107.5°
Step-by-step explanation:
For supplementary angles, their sum equals 180°.
Let x be the first angle and y be the second angle, then
x + y = 180°.
It is given that x = y + 45°.
So x + y = 180°
substituting x into the equation, we have
y + 45° + y = 180°
simplifying, we have
2y + 45° = 180°
collecting like terms, we have
2y = 180° - 45°
2y = 135°
dividing through by 2, we have
y = 135°/2
y = 67.5°
Since y = 67.5°
then x = y + 45°
x = 67.5° + 45°
x = 107.5°
5% is equal to .05
so
46*.05= 2.3
2.3 is 5% of 46 :)
Answer:
Step-by-step explanation:
This scenario can be modeled using an exponential growth equation.
The exponential growth equations have the following form:
Where P is the population in year t
p is the initial population at t = 0
r is the growth rate
t is the time in years.
In this case we know that the current population is 13,000 and that the growth rate is 11%
So
The equation that models this scenario is:
