Answer:

Step-by-step explanation:

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
Answer:
2
Step-by-step explanation:
Given:
Total length of ribbon = 1 yard
Length of ribbon used for project =
yard
Length of ribbon the rest of ribbon is to be divided =
yard
To find:
The number of ribbons of length
yard that can be made = ?
Solution:
Length of ribbon left after the 1 yard ribbon is used for project can be calculated by subtracting the length of ribbon used from the initial length of ribbon.
i.e.
Length of ribbon left =
yard
Now, number of ribbon of length
yard can be found be dividing the length of ribbon left with the length of ribbon pieces to be cut.
i.e.
Number of ribbons:

Answer:
x = 1; y = 1; z = 0
Step-by-step explanation:
First problem:
First equation minus second equation: 3y + 2z = 3 Eq. A
Second equation plus third equation: 2y + 4z = 2 Eq. B
-2 times Eq. A plus Eq. B: -4y = -4
y = 1
Substitute y = 1 in Eq. A: 3 + 2z = 3
2z = 0
z = 0
Substitute z = 0 and y = 1 in original first equation:
-2x + 2 + 0 = 0
-2x = -2
x = 1
Answer: x = 1; y = 1; z = 0