Answer:
m<1 = 54
m<3 = 54
m<4 = 126
Step-by-step explanation:
<1: <2 and <1 are supplementary angles.
<3: <2 and <3 are supplementary angles. <1 and <3 are vertical angles.
<4: <2 and <4 are vertical angles.
Supplementary angles equal to 180 degrees.
Vertical angles are equivalent.
Let's solve for <1.
<2 + <1 = 180 --> Due to supplementary angles
126 + <1 = 180 --> Substitution
126 + <1 - 126 = 180 - 126 --> Subtracted 126 on both sides
<1 = 54 --> Simplified
Let's solve for <3.
<3 = <1 --> Due to vertical angles
<3 = 54 --> Substitution
Let's solve for <4.
<4 = <2 --> Due to vertical angles
<4 = 126 --> Substitution
Therefore, m<1 = 54, m<3 = 54, and m<4 = 126
Hope this helped! <3
Answer:
USE INVERSE OPERATION
Step-by-step explanation:
Answer: the length of the second piece is 1 5/6 inches
Step-by-step explanation:
Mary had a link of yarn 4 1/3 inches. Converting 4 1/3 inches to improper fraction, it becomes 13/3 inches.
She cut it into two pieces for her art project. One of the pieces was 2 1/2 inches long. Converting 2 1/2 inches to improper fraction, it becomes 5/2 inches.
Therefore, the length of the second piece would be
13/3 - 5/2 = (26 - 15)/6 = 11/6 inches.
Converting to mixed fraction, it becomes
1 5/6 inches
Answer:
15
Step-by-step explanation:
3 students can fit in one table. 5*3=15
The nearest dollar to have enough money is $57
