A. Equilateral: All sides are the same length
b. Scalene: All sides are different lengths
c. <span>Equilateral: </span>All sides are the same length
d. Isosceles: Two sides are the same length
e. Scalene: All sides are different lengths
f. Isosceles: <span>Two sides are the same length
Hope this helps!</span>
Answer:
-20
Step-by-step explanation:
6(-3) - |-5| + |3|
First multiply
-18 - |-5| + |3|
Then take the absolute values
-18 - 5 + 3
Subtract
-23 +3
Add
-20
F(x) = 2(x + 3), now if we distribute the 2, we get 2x + 6.
we know the lbs of apple is "x", and therefore, the lbs of orange will be the constant 3.
2x will then stand for the price for "x" lbs of apples.
and 2*3 will stand for the price of "3" lbs of oranges, which is 6 bucks.
since the 2 is multiplying the lbs quantity, it must then be the price, so both cost 2 bucks each per pound.
Answer: Only B
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Explanation:
For situation A,
- x is the input and it represents the student's name.
- y is the output and it represents the colors the student likes.
The pairing (x,y) tells us what a certain student likes in terms of color.
For example, the point (Allen, Red) tells us that Allen likes the color red. We could also have (Allen, Green) telling us he also likes green. Because the input "Allen" maps to more than one output, this means situation A is not a function. A function is only possible if any given input maps to exactly to one output. The input must be in the domain. The domain in this case is the set of all students in the classroom.
In contrast, Situation B is a function because a student will only have one favorite math teacher. I'm interpreting this to mean "number one favorite" and not a situation where a student can select multiple favorites.
1. By the Law of Sines, you have:
SinA/a=SinB/b=SinC/c
2. You don't need the fraction SinC/c, so you can eliminate it. Then:
SinA/a=SinB/b
A=40°
a=19
B=m∠b
b=13
3. When you substitute this values into SinA/a=SinB/b, you obtain:
SinA/a=SinB/b
Sin(40°)/19=SinB/13
SinB=13xSin(40°)/19
m∠b=SinB^-1(13xSin(40°)/19)
m∠b=26.1°
Therefore, the answer is: 26.1 degrees.
