Answer:
see explanation
Step-by-step explanation:
is in the fourth quadrant
Where sin and tan are < 0 , cos > 0
The related acute angle is 2π -
= 
Hence
sin([
) = - sin(
) = -
= - 
cos(
) = cos(
) = 
tan(
= - tan(
= - 1
Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
Given
Isosceles Triangle Theorem
Angle Addition
Given
Definition of Bisector
Substitution
Angle Addition
Given
Definition of Bisector
Substitution
Substitution
Division Property of Equality
Reflexive Property
Angle-Side-Angle Congruence*
CPCTC
*For clarification:
∠Y = ∠Z
YZ = YZ (or ZY)
∠PZY = ∠QYZ
So, Angle-Side-Angle Congruence:
ΔYZP is congruent to ΔZYQ
6h+1-h+3
=5h+4
because 6h-1h is 5h and 1+3 is 4
Answer:
- 6 2/3 qt 80%
- 13 1/3 qt 20%
Step-by-step explanation:
It is often convenient to solve a mixture problem by letting a variable represent the quantity of the higher-concentration contributor to the mix.
__
We can let x represent the number of quarts of 80% solution needed. Then (20-x) is the number of quarts of 20% solution needed. The amount of salt in the final mix is ...
0.80x +0.20(20-x) = 0.40(20)
0.60x = 0.20(20) . . . . . . . . subtract 0.20(20) and simplify
x = 20/3 = 6 2/3 . . . . . . . . . divide by 0.60; quarts of 80% solution
(20 -x) = 13 1/3 . . . . . . . . . . amount of 20% solution needed
The teacher should mix 6 2/3 quarts of 80% solution with 13 1/3 quarts of 20% solution.
I guess the number 2 is to indicate the question...
Then the equation would be 1/3 - 1/2x = -2/3
1/3 - 1/2x - 1/3 = -2/3 - 1/3
-1/2x = -3/3
-1/2x = -1
-1/2x *2 = - 1*2
-x = -2
-x * -1 = -2 * -1
x = 2
Good luck