Answer:
Step-by-step explanation:
What we know
total sum of angles = 540 deg
3/2 b cam also be written as 1.5b degrees.
So 1.5b + (b+45) + (2b - 90) +90 = 540
Step 1 -- get rid of parenthesis
1.5b + b + 45 +2b -90 +90 =540
Step 2 -- combine the like expressions
4.5b + 45 = 540
Step 3 -- subtract 45 from both the sides
4.5b = 495
Step 4 -- divide 4.5 from both the sides
b = 110 ----- not the right answer
Thats not right okay im sorry
but i guess if it is not 110 it should be 100, 90 etc.
90 = b is correct
Answer:
i. LM || NO (converse alternate interior angle theorem)
ii. <1 ≅ <2 (alternate interior angle theorem)
Step-by-step explanation:
Two or more lines are said to be parallel if they do not meet when extended, even till infinity.
Alternate angles are said to be equal in measure.
Given that;
<1 ≅ < 3,
Since <2 ≅ <3 (alternate interior angle theorem)
Then,
<1 ≅ <2 (transitive property)
Also,
<1 ≅ <2 (alternate interior angle theorem)
Therefore since <1 ≅ <2, thus;
LM || NO (converse alternate interior angle theorem)
Answer:
M is not parellel to N because they do not create supplementary angles with the lines that it passes through.
J and K are parallel to each other because they create supplementary angles with line m
supplementary angles add up to 180 and if parallel lines create supplementary angles with the line they cross then they are parallel to each other if that makes sense
105+75=180
Step-by-step explanation:
Answer: 35 sweets
Step-by-step explanation:
2:5:2= 9
peter= 2/9 x a= 14
it then turns to
9/2 x 14= 63
so bridget will get:
5/9 x 63
35 sweets
Answer:
<em>16.08</em>
Step-by-step explanation:
Mean: 10.5 + 16 + 17 + 47 + 49 = 139.5/5 = 27.9
27.9 - 10.5 = 17.4
27.9 - 16 = 11.9
27.9 - 17 = 10.9
27.9 - 47 = 19.1
27.9 - 49 = 21.1
10.9 + 11.9 + 17.4 + 19.1 + 21.1 = 80.4/5 = 16.08
Mean Absolute Deviation: 16.08
