The answer is inconsistent
An equation of a line parallel to y=x-6, must have the same slope.
In this equation:
y=mx+b (slope-intercept form)
m is the slope:
The slope of the equation y=x-6 is m=1 (the number beside "x").
Now we have a point (-1,5) and the slope m=1.
Point-slope form of a line:
y-y₀=m(x-x₀)
so:
y-5=1(x+1)
answer: the equation of the line in point-slope form is :
y-5=1(x+1)
And the eqution of this line in slope-intercept form is:
y=x+6
y-5=(x+1)
y=x+1+5
y=x+6
Answer:
30°, 30° and 120°
Step-by-step explanation:
Using the information given in the question.
let x be the measure of each congruent base angle , then
the third angle = 3x + 30
Sum the 3 angles and equate to 180
3x + 30 + x + x = 180, that is
5x + 30 = 180 ( subtract 30 from both sides )
5x = 150 ( divide both sides by 5 )
x = 30
Thus
The 2 congruent bas angles are each = 30°
The third angle = 3x + 30 = 3(30) + 30 = 90 + 30 = 120°
Answer:
16:12
Step-by-step explanation:
(4+12)=16
16/4 = 4
4x3=12
Another method:
4---------3
16-------x
Cross multiplication
4x=16x3
4x=48
x=12
Answer:
126
Step-by-step explanation:
the number of cargo cars is represented by the 35 part of the ratio , then
105 ÷ 35 = 3 ← value of 1 part of the ratio , then
passenger cars = 7 × 3 = 21
total cars = 105 + 21 = 126
