measure of angle CED is 80
Both questions make use of the formula for the area of a triangle:
.. A = (1/2)*b*h
23. A = (1/2)*b*h
.. A = (1/2)*x*7 . . . . substitute the given values
.. A = 3.5x . . . . . . . simplified
24. A = (1/2)*b*h
.. 84.5 = (1/2)*13*h . . . . . substitute the given values
.. 2*84.5/13 = h = 13 . . . .solve for h
The height of the triangle is 13 cm.
Answer:
Given:
- area = 18 cm²
- base = 6 cm
- height = (h + 1) cm
Substitute the given values into the equation and solve for h:
expand using distributive property of addition 
:
subtract 3 from both sides:
divide both sides by 3:
<u>To verify</u>:
Half of the base is 3 cm.
If h=5, then the height of the triangle is 6 cm.
Multiplying 3 by 6 is 18.
This matches the given area, so we can verify that h = 5.
Because the movement of the minute han of a clock is clockwise ↓, then the angle of rotation will be negative.
1) we calculate the number of minutes from 6:10 to 7:00
number of minutes=7:00-6:10=6:60 - 6:10=50 minutes.
2)
We know that:
60 minutes of a clock have turned -360º
Then:
60 minutes of a clock------------------------- -360º
50 minutes of a clock------------------------- x
x=(50 minutes of a clock * (-360º))/60 minutes of a clock=-300º
Answer: A. -300º
