Answer:
Mateo jogged 8 3/20 miles in the past 2 days.
Step-by-step explanation:
Given:-
Distance on Saturday = 3 3/4
Distance on Sunday = 4 2/5
Total distance = 3 3/4 + 4 2/5
= 15/4 + 22/5
= LCM of deniminators (20)
= 75/20 + 88/20
= (75 + 88)/20
= 163/20
= 8 3/20
Answer:
y = x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (4, 7)
m = 
= 
= 1, hence
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using (1, 4), then
4 = 1 + c ⇒ c = 4 - 1 = 3
y = x + 3 ← equation in slope- intercept form
These two angles are equivalent because they're corresponding angles created by two parallel lines.
Since they're equivalent, we can set them equal to each other.
23x - 5 = 21x + 5
Now solve for x
23x - 5 = 21x + 5
Add 5 to both sides
23x = 21x + 10
Subtract 21x from both sides
2x = 10
Divide both sides by 2
x = 5
Now, plug in 5 as "x" in one of the equations
Angle 1 = (23*5) - 5
= 115 - 5
= 110 degrees
Since they're equivalent, Angle 2 should also be 110 degrees, but let's check in case.
Angle 2 = (21*5) + 5
= 105 + 5
= 110 degrees
Answer:
QPR
Step-by-step explanation:
