Joanne is copying angle ABC with technology. Which of the following describes her next step?
1 answer:
You might be interested in
Answer:
a). x = 11
b). m∠DMC = 39°
c). m∠MAD = 66°
d). m∠ADM = 36°
e). m∠ADC = 18°
Step-by-step explanation:
a). In the figure attached,
m∠AMC = 3x + 6
and m∠DMC = 6x - 49
Since "in-center" of a triangle is a points where the bisectors of internal angles meet.
Therefore, MC is the angle bisector of angle AMD.
and m∠AMC ≅ m∠DMC
3x + 6 = 8x - 49
8x - 3x = 49 + 6
5x = 55
x = 11
b). m∠DMC = 8x - 49
= (8 × 11) - 49
= 88 - 49
= 39°
c). m∠MAD = 2(m∠DAC)
= 2(30)°
= 60°
d). Since, m∠AMD + m∠ADM + m∠MAD = 180°
2(39)° + m∠ADM + 66° = 180°
78° + m∠ADM + 66° = 180°
m∠ADM = 180° - 144°
= 36°
e). m∠ADC =
=
= 18°
Answer:
Step-by-step explanation:
Alright, lets gets started.
First day, she saves nickels = 2
As we know, she doubles the number of nickels she saves each day.
Means second day she saves nickels =
Third day she saves nickels =
Fourth day she saves nickels =
Hence we have
It is like a geometric series, the sum of nickels she needs more than 500.
So, lets see how many days she will take to save 500 nickels first
Using the sum formula for geometric series
where s is sum, r is multiplication factor, that is 2 in this case and a is first term of series that is 2 also
Simplifying, dividing 2 in both sides
Cross multiplying
Taking log on both sides
It means it will take 8 days to save mmore than 500 nickels. : Answer
Hope it will help :)