Answer:
C
Step-by-step explanation:
Express - 1
as an improper fraction, that is
-
x = 9 ( multiply both sides by 5 )
- 9x = 45 ( divide both sides by - 9 )
x = - 5 → C
Answer: 40%
Step-by-step explanation: What I like doing with problems like this is work backward, so that is how this explanation is going to work.
830*0.40=332 so that is how I got 40% now lets dig a little deeper.
How to find percent is take the whole and times it by the decimal of percent you want (eg. if 400 is my whole I want to find out what 30% of it is I would do 400*0.30)
So then we take our 830 times it by what we think best fits and that's how I solved it!
If you need any further help let me know!
Let x represent the length of the side of the pen that is parallel to the barn. Then the area (y) will be
.. y = x(300 -x)/2
This describes a downward opening parabola with zeros at x=0 and x=300. The vertex (maximum) will be found at the value of x that is halfway between those, x = 150.
For that value of x, the pen area is
.. y = 150(300 -150)/2 = 150^2/2 = 11,250 . . . . . square feet.
M = mangoes
a = apples
8m + 3a = 18 Equation 1
3m + 5a = 14.50 Equation 2
Lets multiply equation 1 by 5 and equation 2 by 3
The new equations are:
45m + 15a = 90
9m + 15a = 43.5
Subtract them and get:
36m = 46.5
m = 1.30 Divide both sides by 36
Substitute m into equation 2 (either is fine, but choose the easier one)
3(1.30) + 5a = 14.5
3.9 + 5a = 14.6 Expand the bracket
5a = 10.6 Minus both sides by 3.9
a = 2.12 Divide both sides by 5
Mangoes cost $1.30
Apples cost $2.12 (more like $2.10)
I feel that my working out is wrong, but that is how you work out the answer.
Answer:
Angles that are congruent are complementary to the same angle
Step-by-step explanation:
see that attached figure to better understand the problem
we know that
Two angles are complementary if their sum is equal to 

-----> equation A

so
-----> equation B
so
-----> equation C
Substitute equation A in equation C
So

That means------> angles ∠KLC and ∠KJC------> are complementary angles
therefore
the answer is
Angles that are congruent are complementary to the same angle