i. 171
ii. 162
iii. 297
Solution,
n(U)= 630
n(I)= 333
n(T)= 168
i. Let n(I intersection T ) be X
Hope this helps...
Good luck on your assignment...
Answer:
m = 3/4; b = -3
Step-by-step explanation:
1) First, put the given equation into slope-intercept form. This is so we can identify its slope and y-intercept easily. Isolate y:
2) Lines that are in slope-intercept form are represented by the formula . The number in place of
, or the coefficient of the x-term, represents the slope. The number in place of
represents the y-intercept. So, the slope of
is
, and its y-intercept is -3.
Answer:
m∠ABC = 119° and DC = 105 feet
Step-by-step explanation:
For better understanding of the solution see the attached figure of the trapezium ABCD :
m∠BCD = 61°
By using the property, Sum of interior opposite angles in a trapezium is supplementary ⇒ m∠BCD + m∠ABC = 180°
⇒ m∠ABC = 180° - 61°
⇒ m∠ABC = 119°
Now, to find length of DC,
Draw a perpendicular BE on CD ⇒ CD = DE + EC
AB = DE
⇒ DE = 80 feet
In ΔBEC, By using Pythagoras theorem
EC² = BC² - BE²
⇒ EC² = 65² - 60²
⇒ EC = 25 feet
Hence, DC = 80 + 25
= 105 feet
