Answer:
The answers to the first question are A,C,D
The answer to the second question is YZ=16
Step-by-step explanation:
(1st Question)
Since <K and <M Are equal, and both <L's are equal, KL and ML are congruent (Answer choice) because of the ASA postulate.
You need to create the following equation to find the length of KN and MN 7x-4=5x+12
(Get the "x" variable to one side)
2x-4=12
(Isolate the variable)(Remove the 4)
2x=16
(Divide the 2 by itself to remove it from the x, remember to divide both sides by 2)
x=8 (Answer Choice)
Plug in the x value into each equation
KN= 7(8)-4
KN= 56-4
KN= 52
MN= 5(8)+12
MN= 40+12
MN= 52 (Answer Choice)
MN=KN
(Second Question)
Since XWY(20) is half of XWZ(40), ZWY also equals 20.
This now proves the triangle is congruent by the AAS postulate.
Since the triangles are congruent, if XY = 16, YZ also equals 16.
The answer is <span>√x + √y = √c </span>
<span>=> 1/(2√x) + 1/(2√y) dy/dx = 0 </span>
<span>=> dy/dx = - √y/√x </span>
<span>Let (x', y') be any point on the curve </span>
<span>=> equation of the tangent at that point is </span>
<span>y - y' = - (√y'/√x') (x - x') </span>
<span>x-intercept of this tangent is obtained by plugging y = 0 </span>
<span>=> 0 - y' = - (√y'/√x') (x - x') </span>
<span>=> x = √(x'y') + x' </span>
<span>y-intercept of the tangent is obtained by plugging x = 0 </span>
<span>=> y - y' = - (√y'/√x') (0 - x') </span>
<span>=> y = y' + √(x'y') </span>
<span>Sum of the x and y intercepts </span>
<span>= √(x'y') + x' + y' + √(x'y') </span>
<span>= (√x' + √y')^2 </span>
<span>= (√c)^2 (because (x', y') is on the curve => √x' + √y' = √c) </span>
<span>= c. hope this helps :D</span>
Answer:
The number of pages had Clint read prior to study hall were <u>127 pages</u>.
Step-by-step explanation:
Given:
Clint after 20 minutes is on page 151.
And, after 45 minutes he is on page 181.
Now, to find the pages Clint read prior to study hall.
<em>The time difference = 45 minutes - 20 minutes.</em>
<em> = 25 minutes.</em>
<em>Difference between the pages = 181 - 151</em>
<em> = 30 pages.</em>
If Clint is reading each page at same speed.
Then, in 25 minutes he can read = 30 pages.
So, in 1 minute he can read = 30 ÷ 25 = 1.2 pages.
Thus, in 20 minutes he can read 
Now, number of pages Clint had read prior to study hall = 151 - 24
= 127 pages.
Therefore, the number of pages had Clint read prior to study hall were <u>127 pages</u>.
Answer:
Step-by-step explanation:
1, positive numbers
2, negative numbers
3, opposites
4, rational
5, integer
Answer:
They all have a solution of 3.
Step-by-step explanation:
Each of the equations represented are basically the same thing, therefore have the same answer.
A) 2r = 6 - You would divide 6 by 2 and you would get 3.
B) 6 = 2r - You would still divide 6 by 2, which equals 3.
C) 2r = 6 - Then again you would divide 6 by 2 to get 3.
- <em>I hope this helps :)</em>
