Answer:
Step-by-step explanation:
Remark
Read the following carefully.
There is a beautiful theorem that has to do with the endpoints of two angles sharing the same endpoints.
To be a little clearer, I hope, that makes < BAC = <BDC because both angles have B and C as their endpoints inside the circle. Make sure you understand that statement before moving on.
For this problem <BDC = <CAB = 33 degrees.
That means that ADC = 37 + 33 = 70
Solution
<ADC and CBA are opposite angles.
That means that they add to 180
From the above statement in the Remark section <ADC = 37 + 33 = 70 degrees <ABD + <DBC = <ABC = m + 71
<ABC + ADC = 180
m + 71 + 70 = 180 Combine
m + 141 = 180 Subtract 141 from both sides.
m+141-141= 180 - 141 Combine
m = 39
Answer: m = 39
9514 1404 393
Answer:
√42 ≈ 6.48074
Step-by-step explanation:
Put the values in place of the corresponding variables and do the arithmetic.

_____
42 = 2·3·7 is not a perfect square, nor does it have any perfect square factors. Its square root is irrational.
Answer:
56
Step-by-step explanation:
Answer:
The percent change in Nancy height is 10%
Step-by-step explanation:
Given : when Nancy started middle school, she was 60 inches tall. when she started high school, she was 66 inches tall.
We have to find the percent change in her height.
Percentage change is given by the ratio of the difference in old value and new value to the old value times 100
Mathematically written as

For the given data,
Old value = 60 inches
New value = 66 inches
Thus, the Percentage change is given as,

Simlify, we have,

Thus, The percent change in her height is 10%