Answer:
Incomplete questions
Check attachment for correct question.
The correct answer is
A. ∠JXM and ∠NXP are complementary
step explanation:
line JP is a straight line and sum of angle on a straight line is 180°.
There are three angles on this straight line JP which are ∠JXM, ∠NXP and ∠MXN
Note: from the attachment, it is shown that ∠MXN is a right angle i.e. 90°.
Then, sum of angle on this line is 180°.
∠JXM + ∠NXP + ∠MXN = 180°
∠JXM + ∠NXP + 90° = 180°
∠JXM + ∠NXP = 180° — 90°
∠JXM + ∠NXP = 90°
From the definition of complementary angles : Two Angles are said to Complementary if their sum is 90° (a Right Angle).
They don't have to be next to each other, just so long as the sum is 90 degrees.
Then, since ∠JXM + ∠NXP add up to 90°, it shows that ∠JXM and ∠NXP are complementary
So the correct option is A
3+3+3+4+4+5+6+6+7+9+9=59
59/11=5.36
so your mean is 5.36
Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0)
You need to find "m" and "b".
If you look at the graph, when x = 0, y is 1, so the y-intercept is 1.
y = mx + 1
To find "m", you can use the slope formula and find two points on the graph and plug it in, or you can use this:
Rise is the number of units you go up(+) or down(-)
Run is the number of units you go to the right.
If you look at the graph, from each point you go up 1 unit, and to the right 1 unit. So your slope is 
or 1
y = 1x + 1
y = x + 1
- How do you simplify this?
- x²y+xy² / y²+2/5 × xy
Factor the expressions that are not already factored.
_____
<u>How </u><u>to</u><u> factorise</u><u> </u><u>:</u><u>-</u>
<u>NUMERATOR</u> 
Factor out xy.
<u>DENOMINATOR</u>
Factor out 1/5.
_____
Continuing...
Cancel out y in both the numerator and denominator.
Expand the expression.
This can further simplified to as
We know that :
Ф Product of the slopes of two lines perpendicular to each other should be equal to -1
Let the slope of the line perpendicular to given line be : M
Given equation of the line : y = -1/2x + 4
This line is in the form : y = mx + c, where m is the slope and c is the y intercept
Comparing with y = mx + c :
we can notice that slope of the given line is -1/2
⇒ M × -1/2 = -1
⇒ M × 1/2 = 1
⇒ M = 2
<u>Answer</u> : Slope of the line perpendicular to given line is 2
