Supplementary means that the two angles add up to 180 degrees.
If mTUV= 75, and mMNO = (5x)
we can make an equation with them
75 + (5x) = 180
subtract 75 from both sides
(5x) = 105
now divide both sides by 5 to isolate the x
x = 21
now plug the value for x, 21, back into the original
This means that m MNO = 5(21)
do the multiplication
That equals 105 degrees.
Just to check plug it into the supplementary angle equation
180 ? 105 + 75
180 = 180
SO, mMNO equals 105 degrees.
You have to do 5+5 cross them out then add 5+5 on the other side, bring y down and your answer is y<10 x
For the second one, you do 2-2 which is 0 so your answer would be y
Answer:
<em>x = 0 </em>
<em>y = 2</em>
<em>z = -3</em>
Step-by-step explanation:
x-y-2z=4 (1)
-x+2y+z=1 (2)
-x+y-3z=11 (3)
(1) + (3) = x-y-2z + (-x)+y-3z = 4+11
= -5z = 15
-> z = -3
(1) + (2) = x - y - 2z + (-x) + 2y + z = 4+1
= y-z = 5
= y- (-3) = 5
-> y = 2
(1) = x-y-2z = 4
= x - 2 - 2 * (-3) = 4
-> x = 0
Answer:
A, C, and D
Step-by-step explanation:
The rate of change will simply be the slope of the line, which we can find by taking the change in y and dividing that by the change in x:
slope =
Thus, the slope is 3/2 = 1.5.
Since the slope remains constant throughout the graph, we know that A is correct. In addition because the points 0, 2, 4, and 6 are on the graph, the rate of change between any of the two points will still be the constant 1.5, making C and D correct as well.
So, we can choose A, C, and D.
Hope this helps!
Answer:
f(y) = 5(2.2y + 1) - 3 and h(y) = 11y + 2 are equivalent.
Step-by-step explanation:
The functions are f(y) = 5(2.2y + 1) - 3, g(y) = 11y + 5 - y and h(y) = 11y + 2
Now, for y = 1,
f(1) = 5(2.2 + 1) - 3 = 16 - 3 = 13
g(1) = 11 + 5 - 1 = 15
h(1) = 11 + 2 = 13
Therefore, f(1) = h(1)
Now, for y = 2,
f(2) = 5(4.4 + 1) - 3 = 24
g(2) = 22 + 5 - 2 = 25
h(2) = 22 + 2 = 24
Hence, f(2) = h(2)
Now, for y = 3,
f(3) = 5(6.6 + 1) - 3 = 35
g(3) = 33 + 5 - 3 = 35
h(3) = 33 + 2 = 35
Hence, f(3) = g(3) = h(3)
But in case of f(y) and h(y) the values are same for y = 1, 2, 3.
So, f(y) = 5(2.2y + 1) - 3 and h(y) = 11y + 2 are equivalent.