Answer:
In triangle QNP and QNM
3.QN=QN[common side]
so triangle QNP and QNM is CONGRUENT by A.A .S axiom.
Answer:
( intransitive) To tend steadily upward or downward. ...
( transitive) To form with a slope; to give an oblique or slanting direction to; to incline or slant. ...
( colloquial, usually followed by a preposition)
Step-by-step explanation:
Answer:
y > 2x + 3
Step-by-step explanation:
Okay, first let's simplify the equation by understanding the form.
y = mx + b is the form.
Currently we have 2x - y < -3, So we can subtract 2x on both sides to get
-y < -2x - 3
Let's multiply each term by -1 to get
y < 2x + 3, but wait! We have to flip the sign!
The answer is :
y > 2x + 3
Answer: (5,8)
Step-by-step explanation:
So this is a matter of using a system of linear equations
To start if a total of 13 people got a ticket then we know that
x+y=13
x and y being explained in the problem
then if adult tickets are $40 and children tickets are $20 and the total cost is 360 we can set up the next equation
40x+20y=360
<em>If you were to plug in 1 lets say into x that means that 1 person bought a ticket for $40 this shown by 40 (1) this is the same premise for the childrens tickets.</em>
now we have
x+y=13
40x+20y=360
now we can solve by eliminating one of the variables this is done by either getting rid of the x or y and solving for the other. I solved for the y value first this looks like
-40(x+y=13)
40x+20y=360
Distribute the -40 to each value
giving you
-40x-40y=-520
40x+20y=360
add these together from the top down
the x's cancel leaving
-20y=-160
then isolate the y value by dividing both sides by -20
-20y/-20=-160/-20
leaving you with your y point
y=8
This is how many childrens rickets were sold now we can plug into the first linear equation
x+8=13
now easy subtration to isolate the x point
x+8-8=13-8
x=5
Finally leaving you with point (5,8)
8 home theaters are sold for each $ 500 spent on advertising
Advertising ($) 1,000 - $ 2,000 - $ 3,000
Home Theaters 16 - 32 - 48
16 home theaters are sold when the amount on advertising is $ 1,000
32 home theaters are sold when the amount on advertising is $ 2,000
48 home theaters are sold when the amount on advertising is $ 3,000
X would = The number of home theaters that are sold when the amout of advertising is $500
16/1,000 = x/500
1,000x = 500 *16
1,000x = 8,000
x = 8,000/1,000
X=8