<em>∠5 = 118</em>
Step-by-step explanation:
If you look closely at this image, you can see that ∠6 and ∠5 together will be equal to line c.
A straight line is equal to 180 so if we do...

= 118.
<u>∠5 will be equal to 118.</u>
If we go even further, because vertical angles are congruent...
∠7 = 62
∠8 = 118
Answer:
3
Step-by-step explanation:
The slope is 3 because the equation is y=mx+b. If you add in the terms m=3 and b=0. It is y=3x. M is the slope, so the slope is 3!
Answer:

Step-by-step explanation:
Let total number of students
Students went to the book fair:
Students went to book fair
Students who bought book:

Hence
of total students bought at least one book.
Answer:
10701.97 feet.
Step-by-step explanation:
Refer the attached figure
The angle of elevation of a point, A, at the top of a cliff is 21° i.e. ∠ACB = 21°
The ship has sailed 2,500 feet directly toward the foot of the cliff i.e. CD = 2500 feet.
Then the angle of elevation becomes 47° i.e.∠ADB = 47°
Let BD be x
So, BC = BD+DC=x+2500
Let the height of the cliff be h feet.
In ΔABD
We will use trigonometric ratios



---a
In ΔABC
We will use trigonometric ratios




-----b
Equate a and b

Thus the height of the cliff is 10701.97 feet.
The calculation: 4kg-2.3kg = 1.7 kg
The crate weighs 1.7 kg