Answer:
110 degrees
Step-by-step explanation:
Because these angles are vertical, 5x+15=8x-42. thus, 15=3x-42, 3x=57, and x=19. 5x+15=5(19) +15=110. So, m<CDE=110 degrees.
Answer:
n = 133
Step-by-step explanation:
The sum of n terms of an arithmetic sequence is ...
Sn = n(2·a1 +d(n -1))/2
You want ...
n(10 +1/2(n -1))/2 > 5000 . . . . . filling in a1=5, d=1/2
(n^2 +19n)/4 > 5000 . . . . . . . . .simplify
n^2 +19n -20000 > 0 . . . . . . . write in standard form
We can solve this quadratic using the quadratic formula ...
n > (-19 +√(19^2 -4(1)(-20000)))/2 = (-19 +√80361)/2 ≈ 132.24
The least value of n such that the sum of n terms exceeds 5000 is ...
n = 133.
we know that
Using the original score as the basis
If Misha increased her test score from 
% to 
%
then
the increase variation is equal to
%-%=
%
to find the approximate percent increase of Misha's test score we apply a rule of three
if %--------------> represents 
%
%----------------->x
%
therefore
the answer is
the approximate percent increase of Misha's test score is 
%
Answer:
Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.
Answer:
If the units in the equation are in feet, it lef5t at a height of 7.4 feet (or meters, etc.).
Step-by-step explanation:
p(x) = - 0.013x2 + 0.02x + 7.4
When x, the time, = 0 [just before it leaves the pitcher's hand]
p(0) = 7.4
