Answer:
y = −55x + 275
The initial value is 5
Mike's distance from home when he begins cycling
Step-by-step explanation:
The equation of a line is
y= mx+b where m is the slope and b is the y intercept
The y intercept is 275
Two points are (0,275) and (5,0)
The slope is (y2-y1)/(x2-x1) = (0-275)/(5-0) = -275/5 =-55
y = -55x+275
The initial value is when x = 0
When x = 0 , y = 5
y = 12-2x
Rewriting
y = -2x+12
This is in the form y = mx +b where the slope is -2 and the y intercept is 12
12 is the initial value or when x = 0. It would be the distance that he needs to cover. He needs to go from the library to his house.
Answer with explanation:
Given:
In Δ DEF, ∠3=∠4.
To prove:→ DE=E F
Proof:
1. ∠3=∠4------[Given]
2. →∠1 and ∠ 3 are Supplementary to each other.
(a)⇒∠1 + ∠ 3=180°
→∠2 and ∠ 4 are also Supplementary to each other.
(b)⇒∠2 + ∠ 4=180°
--------------------[Exterior sides in opposite rays]
3. From 1 , a and b
⇒∠ 1 = ∠ 2-------[Two Angles Supplementary to equal Angles are equal to each other]
4. 
If two angles of a Triangle are equal , then side opposite to these angles are equal.
Answer:y=3x+4
Step-by-step explanation:
A² + b² = c²
c² = 4² + 6.5²
c² = 58.25
c = 7.63
Perimeter = 4 + 6.5 + 7.63 = 18.13 units.
Perimeter after the increase in scale = 18.13 x 4 = 72.52 units.
Answer: 72.52 units
