Hola cómo estás cómo te fue te conozco
Answer:
The answers are given below.
Step-by-step explanation:
7. EFGH is a rectangle. Slope of HE is 
So, the slope of EF is 
= 
8 .PQRS is a square.
So, m∠QSR = 45°
[since the diagonals bisect the internal angles of a square]
9. m∠PTQ = 90°
[since the diagonals of a square intersect each other at right angles]
10. RT = 24 unit ,
so,
PR = 
unit
= 48 unit [since the diagonals of a square bisect each other]
So, SQ = PR = 48 unit
[since the diagonals of a square are equal]
11. Yes, a squae is a rectangle
12. Since RSTU is a rectangle,
so, ∠RUS + ∠SUT = 90°
⇒3x + 6 + 5x - 4 = 90°
⇒x = 11°
So, ∠RUS = 3x + 6 = 39°
Answer:
y = 3x + 3
Step-by-step explanation:
y = mx + b where m= slope and b= y-intercept
the y-intercept is the point where x=0 or where the line crosses the y-axis.
This happens at (0,3) on the graph, so the y-intercept, or b, is equal to 3.
for m, slope can be defined as rise/run. So starting from a point you are given on the graph (-1,-2), count the number of spaces up you rise and how many you must go over (run) to get to the next point (0,3)
if you count, you should rise from (-1,-2) 5 spaces and move to the right (run) 1 space to get to (0,3).
rise/run = 3/1
3/1 = 3
the slope is 3.
now that you have the slope and the y-intercept, you can just plug it into the equation
y = 3x + 3
Y=mx
m=amount of time per day studied
y=time
x=number of days
we have
60=m(4)
divide by 4
15=m
y=15x
