180-109= 171
Angel 8 is 171 degrees
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Four sixths. You have to make sure the denominators are equal, so since 6 is the greater denominator then that is the denominator we’ll use especially since three is a factor of 6. Multiply the three by 2 to get 6, and then multiply the numerator by the same number, 2, and you’ll get two sixths as your answer. Then, add two sixths plus two sixths to get four sixths which can be simplified to two thirds.
Answer:
C) 8000 at 6%; 2000 at 11%
Step-by-step explanation:
Let x represent the amount invested at 11%. Then the total interest earned is ...
0.11x +0.06(10000 -x) = 700
0.05x = 100 . . . . . . . . . subtract 600, collect terms
x = 2000 . . . . . . . . . divide by 0.05
8000 is invested at 6%; 2000 is invested at 11%.
Answer:
See explanation
Step-by-step explanation:
Consider triangles ABC and DEC. In these triangles,
- - given;
- - given;
- - as vertical angles when lines AD and BE intersect.
Thus, by AAS postulate, triangles ABC and DEC are congruent. Congruent triangles have congeruent corresponding sides.
So,
The Angle Angle Side postulate (AAS) states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.