Answer:
a. (0, -2)
b. (1, -2)
c. (2, -2)
d. (3, -2)
e. (4, -2)
f. The y-value of the coordinate is always -2. The x-value of the coordinate is always what x is stated to equal.
Step-by-step explanation:
Since the linear equation y = -2 doesn't have a slope, it will be shown as a continuous horizontal line along, touching the y-axis at it's -2 unit.
Same could be said with the various x-equations, except they will be shown as continuous vertical lines.
In the triangle ABE
step 1
Find out the measure of angle AEB
m by form a linear pair
mm
step 2
Find out the measure of angle ABE
m by alternate interior angles
step 3
Find out the measure of angle x
Remember that
The sum of the interior angles in any triangle must be equal to 180 degrees
so
msubstitute given values
x+100+30=180
x=180-130
<h2>x=50 degrees</h2>
Answer:
<em>He will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons. </em>
Step-by-step explanation:
Muhammad uses 1 yard, 2 feet and 4 inches of twine to wrap each carton he packs.
<u>We know that, 1 yard = 36 inches and 1 foot = 12 inches</u>.
So, 1 yard, 2 feet and 4 inches inches.
That means, he uses 64 inches of twine to wrap each carton.
He has to pack 29 cartons today. So, <u>the total length of the twine he will need</u> inches.
Now....
1856 inches
Thus, he will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons.
Prime Factors of 60: 2,3, and 5
Prime Factors of 140: 2,5 and 7
All mental math no work needed.