Answer:
Step-by-step explanation:
He had the incorrect slope for the second line, his line has a positive slope of one while the equation has a slope of negative 1.
x+y=1
y=-x+1
He graphed x+1 instead of -x+1
If he graphed them correctly the lines would intersect when the equations were equal
2x+4=-x+1
3x+4=1
3x=-3
x=-1, making y=2x+4 become
y=2(-1)+4
y=2
So the solution was supposed to be the point (-1,2)
Answer: x = 3.5
Step-by-step explanation:
Right of the bat, I know the measure of angle C equals 73° because of the Isosceles Base Angle Theorem. Then, due to the Triangle Sum Theorem, I know that all of the measures in the triangle must add to 180°. To find this, just subtract 73 and 73 from 180. Finally, because angle B equals (6x + 4) and 34°, just set them equal to each other to find the value of x.
180 - 73 - 73 = measure of angle B
34° = measure of angle B
6x + 4 = 34
- 4 - 4
6x = 30
6x / 6 = 30 / 6
x = 5
Hope this helps!
Answer:
10 < 6n -2 ≤ 34
n= {3, 4, 5, 6}
Step-by-step explanation:
number
⇒ n
two less than six times the number
⇒ 6n -2
it is between ten and thirty-four (inclusive)
⇒ 10 < 6n -2 ≤ 34
we can solve it as:
- 10 < 6n -2 ≤ 34 ⇒ add 2 to all sides
- 12 < 6n ≤ 36 ⇒ divide by 6 all sides
- 2 < n ≤ 6
- n= (2, 6]
or
Answer:
StartFraction 1 Over 45 EndFraction of a yard
Step-by-step explanation:
Length of the wooden dowel rod = 8/15 of a yard
Number of pieces = 24
What is the length of each piece of dowel rod?
Length of each piece of dowel rod = Total length of wooden dowel rod / number of pieces
= 8/15 ÷ 24
= 8/15 × 1/24
= (8*1) / (15*24)
= 8/360
= 1/45
Length of each piece of dowel rod = 1/45 of a yard
