Answer:
Option A) m∠RNS=27°
Step-by-step explanation:
We know that
∠UNR = 180°. This tells us that the Sum of the enclosed angles should equal 180°, by trigonometry. So the enclosed angles are:
∠RNS = 
∠SNT= 
∠TNU= 
Now let us add all the angles and solve for the value of
as follow:


Now lets plug in the value into the expression for angle
∠RNS to find the angle as:

Thus Option A. is the correct answer.
Answer:
1.) There is a focus at (0,4)
4.) There is an asymptote with a slope of 4/3
These are the only 2 correct.
Step-by-step explanation:
Just took the quiz od edge!
Y + 4x < 8
y < -4x + 8
2 points that satisfy this are (0,8) and (2,0)....and those happen to be ur x and y intercepts (where the line crosses the x and y axis)
graph...so go ahead and plot ur x and y intercepts (0,8) and (2,0).....ur slope is - 4.....so start at ur y int (0,8) and go down 4 spaces, and to the right 1...plot that point, then go down 4 spaces and to the right 1, then plot that point...keep doing this and u will have ur line...u should have crossed the x axis at (0,2)......ur line will be a dashed line since the problem has no equal sign.... the shading will go below the line because it is less then.
y - 3 > = 1/2x
y > = 1/2x + 3
2 points that satisfy this are : (0,3) and (-6,0)...ur x and y intercepts
graph : plot ur intercepts (0,3) and (-6,0)....u have a slope of 1/2...so start at ur x intercept (-6,0) and go up 1 space, and to the right 2 spaces, plot that point...then go up 1 and to the right 2, plot that point...keep doing this and u will cross the y axis at (0,3)....this line will be a solid line....the shading will go above the line.
Answer:
x = 7
Step-by-step explanation:
Given
4(5x - 2) = 2(9x + 3) ← distribute parenthesis on both sides
20x - 8 = 18x + 6 ( subtract 18x from both sides )
2x - 8 = 6 ( add 8 to both sides )
2x = 14 ( divide both sides by 2 )
x = 7
Answer:
The number of each kind of apartment in the building is 130 .
Step-by-step explanation:
Given as :
The total number of floor in a building = 15
The number of apartment on each floor = 26
So, The total number of apartment = 26 × 15 = 390
The number of kinds of apartment in the building is 3 , i.e 1-bedroom , 2-bedroom , 3-bedroom
Let The number of each kind of apartment in building = x
So, According to question
The number of each kind of building = 
or, x = 
∴ x = 130
Hence The number of each kind of apartment in the building is 130 . Answer