Rate = $33 / 11 pounds;
= $3/ pound.
Answer:
The option A) -4-3i is correct
Therefore the simplified given expression is (-1-6i)+(-3+3i)=-4-3i
Step-by-step explanation:
Given that the expression is (-1-6i)+(-3+3i)
To simplify the given expression as below :
(-1-6i)+(-3+3i)=-1-6i-3+3i
=(-1-3)+(-6i+3i) ( combining the real parts and imaginary parts separately and adding the like terms )
=-4+(-3i)
=-4-3i
(-1-6i)+(-3+3i)=-4-3i
Therefore the simplified given expression is (-1-6i)+(-3+3i)=-4-3i
Therefore the option A) -4-3i is correct
Answer:
this mean that when x equals -4 what is y. y=2
Answer:
If two figures are similar, then the correspondent sides are related by a constant factor.
For example, if the base of one side of one of the figures has a length L, then the correspondent side of the other figure has a length k*L where k is the scale factor.
Let's start with the two left triangles.
In the smaller one the base is 5, and the base of the other triangle is 15.
Then we will have:
15 = k*5
15/5 = k = 3
The scale factor is 3.
Then we will have that:
a = scale factor times the correspondent side in the smaller triangle:
a = k*3 = 3*3 = 9
a = 9
For the other two triangles, the base of the smaller triangle is 12, while the base of the larger triangle is 20.
Then we will have the relation:
12*k = 20
k = (20/12) = 10/6 = 5/3
The scale factor is 5/3
This means that the unknown side b is given by:
b*(5/3) = 15
b = (3/5)*15 = 3*3 = 9
b = 9.
Question 1:
Blank 3: ASA congruence (you have two angles and a side)
Blank 4: CPCTC (corresponding parts of congruent triangles are congruent)
Question 2:
Blank 2: Definition of perpendicular lines
Blank 3: Given
Blank 4: SD = SD (Shared side)
Blank 5: HL Theorem (We have two right triangles)
Have an awesome day! :)
