In the diagram below of triangle KLM, N is a midpoint of KL and P is a midpoint
of LM. If mZPNL = 2x + 61, and MKN = 97 - 7x, what is the measure of
ZPNL?
Answer:
Solution:
(1/12)^(-2b) * 12^(-2b+2) = 12
(12^-1)^(-2b) (12)^(-2b+2) = 12
(12^2b)(12)^(-2b+2) = 12
12^(2b-2b+2) = 12
12^2 = 12
144 does not equal 12
No solution.
Step-by-step explanation:
The measure of angle PNL will be equivalent to 69 degrees.
What is triangle?A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
The sum of two sides of a triangle is greater then the third side. Mathematically -
a + b > c
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is a triangle KLM such that N is a midpoint of KL and P is a midpoint of LM.
Triangles LMP and LKM are similar to each other. Therefore, PN will be parallel to MK. So angle PNL will be equal to angle MKN. Therefore -
2x + 61 = 97 - 7x
9x = 97 - 61
9x = 36
x = 4
So, angle PNL will be equal to -
2 x 4 + 61
69 degrees
Therefore, the measure of angle PNL will be equivalent to 69 degrees.
To solve more questions on triangles, visit the link below-
brainly.com/question/25950519
#SPJ2
-14 = -8m + 2
please help!
A text message plan costs $2 per month plus $0.23 per text. Fine the monthly cost for x text messages
Answer:
y= 2 + 0.23x
Step-by-step explanation:
Giving the following information:
A text message plan costs $2 per month plus $0.23 per text.
First, we need to structure the total cost formula:
y= total cost
x= number of text messages
y= 2 + 0.23x
Now, we can calculate the total cost for any number of text:
x= 200
y= 2 + 0.23*200
y= $48
B is incorrect so it's not the answer...
Answer:
x^2 - 4x - 3
Step-by-step explanation:
f(x) = x^2 - 6x
g(x) = -2x + 3
(f - g)(x) is the subtraction of the functions, f(x) - g(x)
You need to write it carefully using parentheses for function g(x).
(f - g)(x) = f(x) - g(x) =
= x^2 - 6x - (-2x + 3)
Now take care of the parentheses by distributing the negative sign to its left. It will change every sign inside the parentheses.
= x^2 - 6x + 2x - 3
= x^2 - 4x - 3
how do i do this? -X= 8
Answer:
x = -8
Step-by-step explanation:
-X= 8
Multiply by -1
-X*-1= 8*-1
x = -8
Answer:
x = -8
Step-by-step explanation:
Multiply both side of the equation by -1
-x(-1) = 8(-1)
On the x side, the negatives cancel each other out, making x positive.
On the 8 side, the negative makes the 8 into -8.
x = -8
(essentially, switch the negative/positive signs)
if 9/24 = 3/x then x is
Answer:
8
Step-by-step explanation:
Answer: 3/8
Step-by-step explanation: 9÷3=3 then 24÷3=8
Can an absolute value equal a negative?
1.
Social Security and Medicare taxes are amounts employees can opt in or out of
paying each pay period.
O True
O False
17=-5r what is the equation answer
perform the subtraction -2 - 15=
the answer is -17 :)
can someone tell me the difference between sine, cosine, and tangent
Answer:
sin∅ = opposite over hypotenuse
cos∅ = adjacent over hypotenuse
tan∅ = opposite over adjacent
Step-by-step explanation:
Each of these trigs are used to find angles or lengths of a triangle.
sin∅ would be the y-value of the unit circle.
cos∅ would be the x-value of the unit circle.
A cyclist rode 3.75 miles in 0.3 hours. How fast was she going in miles per hour? Round your answer to the tenths (first) decimal place.
Answer:
12.5 miles per hour
Step-by-step explanation:
The speed is the distance divided by time.
3.75 miles/0.3 hours= 12.5 miles per hour
Answer:
12.5 miles per hour
Step-by-step explanation:
To answer this question you have to make sure that the hours (denominator) equals to 1. To do this, divide 3.75 by 0.3, thus making the 0.3 hours into 1 hour. This results in 12.5 miles per hour, the correct answer. Hope this helped!
WORTH 35 POINTS :))
13. What is the sum of the solutions of the 2 equations
below?
8x = 12
2y + 10 = 22
A. 23
B. 7
7 1 / 1
C. 9
D. 10
E. 173
Answer:
7.5
Step-by-step explanation:
8x÷4=12÷4
2x=3
x=3/2=1.5
2y+10=22
2y=12
y=6
1.5+6=7.5=7½
Answer:
7.5 or 7½
Step-by-step explanation:
8x = 12
x = 12/8 (12/4 / 8/4)
x = 3/2
x = 1.5
2y + 10 = 22
2y = 12
y = 6
1.5 + 6 = 7.5 = 7½
- у
6x - 4у - 2
What is the next step?
Answer:
To solve your equation using the Equation Solver, type in your equation like x+4=5. The solver will then show you the steps to help you learn how to solve it on your own.
Step-by-step explanation:
help!!!!
Given JB is the segment bisector of AD, AD = 24 and AZ: 2x + 4 Find the value of x.
(ps the side cut off on the right is just point d)
Answer:
x = 4
Step-by-step explanation:
Since JB is the bisector of AD and the length of AD is given as 24 we can conclude that AZ is 12 (half of AD)
2x + 4 = 12
2x = 8
x = 4
Name a ray with endpoint A in the figure
Answer:
ray AD
Step-by-step explanation:
a to the power of -8
[tex] {a}^{ - 8} [/tex]
Answer:
a -8 power
Step-by-step explanation:
yes you do that the same way
Betty Baker is making her famous chocolate-chocolate chip cake. She uses 2/3 cup of sugar to make a 1/4 sheet cake. How much sugar would she need to make a full sheet cake?
Answer: 3 1/3
Step-by-step explanation:
Please help!!! Fist answer gets brainliest
25 POINTS PLS
The space shuttle travels at about 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle to reach Saturn from Earth. Show your work. Convert your answer into scientific notation if necessary.
(Saturn is 1,429,400,028 kilometers away from the sun, and Earth is 149,599,951 kilometers away from the sun)
Enter 4 3/8 as a decimal
Which lists all of the y-intercepts of the graphed
function?
O (0,-3)
O (-1,0) and (3,0)
O (0, -1) and (0,3)
O (-1,0), (3, 0), and (0, -3)
From the graph, we can see that the graph crosses the y-axis at (0,-3) Hence, the correct answer is A (0,3).
What is the y-intercept of a function?The intersection of the graph of the function with the y-axis gives the y-intercept of that function.
The y-intercept is the value of y on the y-axis at which the considered function intersects it.
Assume that we've got: y = f(x)
At y-axis, we've got x = 0, so putting it will give us the y-intercept.
Thus, y-intercept of y = f(x) is y = f(0)
The y-intercept is where a line crosses the y-axis, so this is the point where x = 0.
From the graph, we can see that the graph crosses the y-axis at (0,-3)
Hence, the correct answer is A (0,3).
Learn more about y-intercept here:
https://brainly.com/question/16540065
#SPJ1
23
Justin started the race at 3:25 p.m. Justin finished the race at 8:50 p.m. How long did it take Justin to run the race?
OA. 5 hours and 25 minutes
B. 5 hours and 35 minutes
OC. 3 hours and 25 minutes
OD. 6 hours and 25 minutes
Answer:
A. 5 hours and 25 minutes
Step-by-step explanation:
8 - 3 = 5
50 - 25 = 25
8:50 pm - 3:25 pm = 5:25
A. 5 hours and 25 minutes
am i right with the question and if i m can you explain further i think i awser is y=10x
You are correct.
C is the constant, which is also called the slope.
Slope = change in y over the change in x:
Slope = 160-30 / 16-3 = 130/13 = 10
The equation would be y = 10x
APEX PRE CALC: For a ____ function, the domain is broken into pieces, with a different rule defining the function for each piece.
Answer:
Piecewise
Step-by-step explanation:
For a piecewise function, the domain is broken into pieces, with a different rule defining the function for each piece.
Piecewise functions are usually a function that equals two or more equations depending on the x or the domain.
Google piecewise functions to see examples.
I hope this helps!
Answer: Piecewise
Step-by-step explanation:
There will be breaks and jumps in the curve, particularly when a value would undefined. So the solution curve looks like disconnected pieces.
What is the perimeter of the rectangle
Answer:
6x+6
Step-by-step explanation:
To find the perimeter you are going to add the length of all the edges. 2x+3 + 2x+3+x+x. When you simplify it all you found your answer.
Regroup to express the number in a different way. \begin{aligned} 73{,}250= &7\text{ ten thousands} +3 \text{ thousands} +2 \text{ hundreds} +5\text{ tens} \\\\ 73{,}250=& 7\text{ ten thousands} +3 \text{ thousands} +1 \text{ hundred} + \bigstar\text{ tens} \end{aligned} 73,250= 73,250= 7 ten thousands+3 thousands+2 hundreds+5 tens 7 ten thousands+3 thousands+1 hundred+★ tens \bigstar=★=\bigstar, equals
Answer:
i got you wait an sec
Step-by-step explanation:
Which describes the transformations of y = f(x) that would result in the graph of y = f(-x) – 7.
O a reflection in the y-axis followed by a translation down by 7 units
O a reflection in the y-axis followed by a translation up by 7 units
O a reflection in the x-axis followed by a translation down by 7 units
O a reflection in the x-axis followed by a translation up by 7 units
Answer:
a reflection in the y-axis followed by a translation down by 7 units
Step-by-step explanation:
just answered it
The transformations of the graph is a reflection in the x-axis followed by a translation down by 7 units.
Option (C) is correct.
It is required to choose the transformations of the graph.
What are transformations?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
Given:
We have a given a graph of y = f(-x) – 7.
The transformations in order are the following:
Reflection over the x-axis.
Horizontal translation of 7 units to the left.
Therefore, the transformations of the graph is a reflection in the x-axis followed by a translation down by 7 units.
Learn more about transformations here:
brainly.com/question/17361069
#SPJ2
If 1/5 of the money in a cash box is 30 dollars, how much money is in the cash box?
Answer:
Money in the cash box is $150
Step-by-step explanation:
Let
x = money in the cash box
1/5 of the money in a cash box is 30 dollars
1/5 of x = $30
1/5 * x = 30
1/5x = 30
Divide both sides by 1/5
x = 30 ÷ 1/5
= 30 × 5/1
= 150/1
x = $150
Money in the cash box is $150
Find the distance between (-4,5) and (4,0) round to the nearest hundredth
Answer:
Solution: 9.43
Step-by-step explanation:
Remember that we can determine the distance between any two points using the distance formula, d = √(x₂ - x₁)² + (y₂ - y₁)². Let's substitute known values to determine the distance:
[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2},}\\ \\\\\mathrm{d}= \sqrt{(4 - (-4))^2 + (0 - 5)^2} = \sqrt{(4 + 4)^2 + (- 5)^2} \\= \sqrt{(8)^2 + 25} = \sqrt{64 + 25} = \sqrt{89}[/tex]
Hence the distance between the points (-4,5) and (4,0) is exactly √89. The question asks us to round off to the nearest hundredth, so your solution will be approximated off to two digits → 9.43.