Answer:
87°
Step-by-step explanation:
it can be seen directly
if you want angle AOD
it's 78°
#a
m<5=40°
#b
m<2=140
#c
<5 and <2 are linear pair(looked properly in diagram) Hence they are supplementary.
#d
<5 and 2 are same side interior angles (Clearly shown on diagram .
- We can call them co responding interior angles and their sum will be 180 if lines are parallel
#e
a||b
Let's verify
Let the angle below <1 be <3
Now
<2+<3=180
<5+<4=180

Hence verified
Answer:
its a
Step-by-step explanation:
4/12 = 1/3
Step-by-step explanation:
We will learn how to solve proportion problems. We know, the first term (1st) and the fourth term (4th) of a proportion are called extreme terms or extremes, and the second term (2nd) and the third term (3rd) are called middle terms or means.
Therefore, in a proportion, product of extremes = product of middle terms
example
1. Check whether the two ratios form a proportion or not:
(i) 6 : 8 and 12 : 16; (ii) 24 : 28 and 36 : 48
Solution:
(i) 6 : 8 and 12 : 16
6 : 8 = 6/8 = 3/4
12 : 16 = 12/16 = 3/4
Thus, the ratios 6 : 8 and 12 : 16 are equal.
Therefore, they form a proportion.
Answer:
a) 25
b) 49
c) 97
Step-by-step explanation:
The sample size is calculated using the formula, n = 
Now,
for 95% confidence level value of z-factor = 1.96
Given:
Mean = $3.94
standard deviation = $0.25
thus,
a) for margin of error = $0.10
n = 
or
n = 
or
n = 4.9²
or
n = 24.01 ≈ 25 (Rounded off to next integer)
b) for margin of error = $0.07
n = 
or
n = 
or
n = 7²
or
n = 49
c) for margin of error = $0.05
n = 
or
n = 
or
n = 9.8²
or
n = 96.04 ≈ 97 (Rounded off to next integer)