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?
Answers
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-
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Related Questions
help please!!! AHAHSBHSBDR
Answers
Answer:
a = 8/29 thus: Step 1 is wrong!
Step-by-step explanation:
Solve for a:
8 - a/2 = 3 (4 - 5 a)
Hint: | Put the fractions in 8 - a/2 over a common denominator.
Put each term in 8 - a/2 over the common denominator 2: 8 - a/2 = 16/2 - a/2:
16/2 - a/2 = 3 (4 - 5 a)
Hint: | Combine 16/2 - a/2 into a single fraction.
16/2 - a/2 = (16 - a)/2:
(16 - a)/2 = 3 (4 - 5 a)
Hint: | Make (16 - a)/2 = 3 (4 - 5 a) simpler by multiplying both sides by a constant.
Multiply both sides by 2:
(2 (16 - a))/2 = 2×3 (4 - 5 a)
Hint: | Cancel common terms in the numerator and denominator of (2 (16 - a))/2.
(2 (16 - a))/2 = 2/2×(16 - a) = 16 - a:
16 - a = 2×3 (4 - 5 a)
Hint: | Multiply 2 and 3 together.
2×3 = 6:
16 - a = 6 (4 - 5 a)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the right hand side:
16 - a = 24 - 30 a
Hint: | Move terms with a to the left hand side.
Add 30 a to both sides:
30 a - a + 16 = (30 a - 30 a) + 24
Hint: | Look for the difference of two identical terms.
30 a - 30 a = 0:
30 a - a + 16 = 24
Hint: | Group like terms in 30 a - a + 16.
Grouping like terms, 30 a - a + 16 = (-a + 30 a) + 16:
(-a + 30 a) + 16 = 24
Hint: | Combine like terms in 30 a - a.
30 a - a = 29 a:
29 a + 16 = 24
Hint: | Isolate terms with a to the left hand side.
Subtract 16 from both sides:
29 a + (16 - 16) = 24 - 16
Hint: | Look for the difference of two identical terms.
16 - 16 = 0:
29 a = 24 - 16
Hint: | Evaluate 24 - 16.
24 - 16 = 8:
29 a = 8
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 29 a = 8 by 29:
(29 a)/29 = 8/29
Hint: | Any nonzero number divided by itself is one.
29/29 = 1:
Answer: a = 8/29
Kerrie is tiling the floor of a kitchen. The kitchen floor measures 11.3 feet by 9.25 feet. She orders enough tiles for 99 square feet. Which statement about the amount of the tiles is correct?
Answers
This question is not complete
Complete Question
Kerrie is tiling the floor of a kitchen. The kitchen floor measures 11.3 feet by 9.25 feet. She orders enough tiles for 99 square feet. Which statement about the amount of tiles is correct?
a) Kerrie estimated correctly by rounding down. She has enough tile. The exact area is 104.5 square feet.
b) Kerrie estimated correctly by rounding up. She has enough tile. The exact area is 104.5 square feet.
c) Kerrie did not estimate correctly by rounding up. She does not have enough tile. The exact area is 104.5 square feet.
d) Kerrie did not estimate correctly by rounding down. She does not have enough tile. The exact area is 104.5 square feet.
Answer:
a) Kerrie estimated correctly by rounding down. She has enough tile. The exact area is 104.5 square feet.
Step-by-step explanation:
In mathematics we have what is defined as rounding up and rounding down.
Rounding up of numbers is when the number you want to round up is followed by number from 5 to 9(5, 6, 7, 8, 9)
E.g. 2.5 rounded up to the nearest whole number = 3
Rounding down of numbers is when the number you want to round up is followed by number from 1 to 4(1, 2, 3, 4)
E.g. 2.4 rounded down = 2
We are told in the question
Kerrie is tiling the floor of a kitchen. The kitchen floor measures 11.3 feet by 9.25 feet. She orders enough tiles for 99 square feet.
Kitchen floor is rectangular = Area = Length × Width
= 11.3 × 9.25 feet
= 104.525 square feet
We are told that Kerrie ordered for 99 square tiles.
But looking at the decimal, the number after the decimal are between 1 and 4.
Hence, she would be rounding down.
If Kerrie rounds down to the nearest whole number
11.3 feet = 11 feet
9.25 feet = 9 feet
Finding the area = 11 feet × 9 feet
= 99 square feet
Therefore, the correct statement = option a) Kerrie estimated correctly by rounding down. She has enough tile. The exact area is 104.5 square feet.
Answer:
104.05
Step-by-step explanation:
how to solve 4/3 + 5/4
Answers
Answer:
Step-by-step explanation:
First, you need to get a common denominator.
You can do this by multiplying each fraction by 3 or 4.
See,
4/3 * 4/4=16/12
5/4 * 3/3=15/12
16+15=31
31/12
Answer:
2(7/12)
Step-by-step explanation:
First, try to match the denominators.
4/3+5/4
To match the denominators, multiply them with each other.If the denominator multiplys with each other, the numerator also have to multiply too.
=[tex]\frac{(4*4)}{(3*4)} +\frac{(5*3)}{(4*3)}[/tex]
= [tex]\frac{16}{12} +\frac{15}{12}[/tex]
= [tex]\frac{16+15}{12}[/tex]
= [tex]\frac{31}{12}[/tex] (If you want it as a improper fraction, you can stop here)But normally we continue till we get a mixed number if we get a improper fraction.
So 31/12 equals to 2(7/12) as a mixed number
[tex]3x + 4(x + 1) = x + 2(x + 3)[/tex]
I keep trying this and get it wrong each time Helpp!!!
Answers
A salesman gets a basic wage of £160 per week plus a commision of 30% of the sales he makes that week. In one week his total wage was £640 Work out the value of the sales he made that week.
Answers
Answer:
£1600.
Step-by-step explanation:
The commission he earns in the week = 640 - 160 = £480.
This 480 is 30 percent or 0.30 of the value of his sales, so
the value of his sales = 480 / 0.30
= £1600.
PLEASE HELP!! I worked it out and haven’t found the right answer
Answers
Answer:
option B is correct. Once have a look to this solution that I have answered
Consider the figure above. Starting with the shape in the upper left, identify the figure that has been: -Translated only. -Rotated and translated. -Reflected about the x-axis.
Answers
Answers:
Figure a has been translated only (translated 9 units to the right)
Figure b has been reflected over the x axis
Figure c has been rotated and translated
=======================================
Explanation:
Pick on a point like (-7,4) and note how it moves 9 units to the right to get to (2,4). All points on the upper left figure follow this same translation rule. This rules in figure a.
Figure b is a result of reflecting over the x axis. The rule used is [tex](x,y) \to (x,-y)[/tex]. The x coordinate stays the same while the y coordinate flips from positive to negative. So for example, (-7,4) flips to (-7,-4)
Figure c is a combination of rotating and translating the original figure. It looks like a 90 counterclockwise rotation has been applied followed by a translation. The actual translation and rotation rules used will depend on how you define the center of rotation.
The figure which is rotated and translated correctly about the x-axis is figure a.
What is graph?The graph of a function f is that the set of ordered pairs, where\f(x)=y. within the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
How to form graph of function?We have been given four graphs of a function and first function has coordinates (-5,7) (-2,6) (-7,4) (-4,1) and that we must identify correct reflected graph.
The coordinates of a pure reflected graph are going to be (4,7) (2,4) (5,1) (7,6) which are the coordinates of figure a which is in first quadrant.
Hence the proper reflected graph of function having coordinates (-5,7) (-2,6) (-7,4) (-4,1) is that the graph of coordinates (4,7) (2,4) (5,1) (7,6).
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Which of the following explains the relationship between angles a and b? Lines JK and JM intersect at point J, creating four angles identified as angle B, angle D, angle C, and angle a clockwise from the top right. Adjacent angles, corresponding notes, Complementary angles or vertival angles
Answers
The answer is Adjacent angles.
Answer:
The answer is A: Adjacent angles.
Step-by-step explanation:
I know this cause I'm taking the test.
Jenny says the formula for finding the area of a triangle is . Chris says the formula for finding the area of a triangle is . Who is correct?
Answers
Answer:
A= (1/2)b*hStep-by-step explanation:
The question is incomplete, the question does not state the claims of both Jenny and Chris.
though we can still move on to answer as the area of a triangle is expressed as
Area= half base time hight (pronounced)
and stated mathematically as
A= (1/2)b*h
the ideal of the area of a triangle is taken from the area of the rectangle divided into two from the diagonal to form two triangles
the area of a rectangle (shown in the attachment ) = b*h
now since the rectangle consists of two half triangle,
one triangle will have its area to be half the area of the rectangle
hence
area of the rectangle = (1/2)b*h
kindly find the attachment for your reference
Andrew went to the store with $200.00. He bought 2 pair of shorts for $25.00 each, he bought 3 shirts for $22.00 each, and he bought a pair of jeans for $25. How much money did he have left? Choose the correct solution.
Answers
150-(22•3)=84
84-25=59
Andrew has $59 left
Answer:
the answer is 59
Step-by-step explanation:
25×2=50
3×22=66
50+66=116
then you add 25 to 116=141
200-141=59
so he had left 59 dollars at the end
Felix reported that the coldest day on record for his town was five times colder than yesterday, -4 c . What is the temperature of the coldest day on Felix town
Answers
Answer:
Coldest day on record = -20°C
Step-by-step explanation:
Given:
Yesterday temperature = -4°C
Coldest day on record = 5 times than yesterday
Find:
Coldest day on record
Computation:
Coldest day on record = 5 × Yesterday temperature
Coldest day on record = 5 × (-4)
Coldest day on record = -20°C
HELP!!!!!!! The square in the middle has an area of 1 square unit. What is the area of the entire rectangle in square units? Explain your reasoning.
Answers
Answer:
4 square units
Step-by-step explanation:
If you draw a vertical line down the middle of the square, you divide it into two triangles that are congruent to the smaller triangles shown in the figure. Hence each of those triangles has an area of 1/2 square unit.
After you have divided the square as above, you see that two smaller triangles are identical in area to the larger triangles. So, each of those has an area of 2(1/2) = 1 square unit.
Then the total of areas is ...
2 small triangles + square + 2 large triangles = 2(1/2) + 1 + 2(1) = 4
The area of the rectangle is 4 square units.
Seven times the quantity of a number increased by four
Answers
Answer:
7x + 4
Step-by-step explanation:
You just need to read the question carefully
Point
A
Astart color #6495ed, A, end color #6495ed is at
(
3
,
4
)
(3,4)start color #6495ed, left parenthesis, 3, comma, 4, right parenthesis, end color #6495ed and point
M
Mstart color #9d38bd, M, end color #9d38bd is at
(
5.5
,
0
)
(5.5,0)start color #9d38bd, left parenthesis, 5, point, 5, comma, 0, right parenthesis, end color #9d38bd.
Point
M
Mstart color #9d38bd, M, end color #9d38bd is the midpoint of point
A
Astart color #6495ed, A, end color #6495ed and point
B
Bstart color #28ae7b, B, end color #28ae7b.
Answers
Your question is poorly formatted; However, the correct question is:
Point A ( 3 , 4 ) and point M (5.5,0) is the midpoint of point A and point B. Determine the coordinates of B
Answer:
The coordinates of B is (8,-4)
Step-by-step explanation:
Given
Point A ( 3 , 4 )
Point M (5.5,0)
Required
Determine B
Since, M is the midpoint;
We'll solve this question using the following formula;
[tex]M(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]
Where [tex](x,y) = (5.5,0)[/tex] and [tex](x_1,y_1) = (3,4)[/tex]
Substitute values for x, y, x1 and y1 in the above formula;
This gives
[tex](5.5,0) = (\frac{3 + x_2}{2},\frac{4 + y_2}{2})[/tex]
By direct comparison, we have
[tex]5.5 = \frac{3 + x_2}{2}[/tex] and [tex]0 = \frac{4 + y_2}{2}[/tex]
Solving [tex]5.5 = \frac{3 + x_2}{2}[/tex]
Multiply both sides by 2
[tex]11 = 3 +x_2[/tex]
Subtract 3 from both sides
[tex]11- 3 = x_2[/tex]
[tex]x_2 = 8[/tex]
Solving [tex]0 = \frac{4 + y_2}{2}[/tex]
Multiply both sides by 2
[tex]0 = 4 + y_2[/tex]
Subtract 4 from both sides
[tex]0 - 4 = y_2[/tex]
[tex]y_2 = -4[/tex]
Hence;
The coordinates of B is (8,-4)
Answer:
(8,-4)
I think it's right
if f(x) = x - 2, what is f(-1)?
Answers
Answer:
-f
Step-by-step explanation:
The contagent of 180/3,180/4,180/6 is
Answers
Answer:
easy
Step-by-step explanation:
1+2=92
What is the equation of the graph below?
Answers
Answer:
A
Step-by-step explanation:
if AE=4 how long is the corresponding distance in the second figure?
Answers
Seeting up a porportion gives us,
[tex]\frac{15}{6}= \frac{x}{4}[/tex]
60=6x
10=x
HL=10
Please help me solve 2z+4a=6
Answers
Step-by-step explanation:
z = 3-2a
a = 3/2 - 0.5z
...........................
Answer: I dont know which to slove for so im going to put both :)
Step-by-step explanation:
SOLVING FOR Z:
Subtract 4 a from both sides of the equation.
2 z = 6 − 4 a
Divide each term by 2
and simplify. z = 3 − 2 a
SOLVING FOR A:
Subtract a from both sides of the equation
2z=6-4a
Divide each term by 2 then simplify
z=3-2a
6x-9+4x=6-2x=4 this is solving for x
Answers
Steps to solve:
6x - 9 + 4x
~Combine like terms
(6x + 4x) - 9
~Simplify
10x - 9
Best of Luck!
How did the function move from the f(x)=|x| to f(x)=|x+2|
Answers
Answer:
Step-by-step explanation:
It shifted to the left 2 units
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Points A and B are the endpoints of an arc of a circle. Chords are drawn from the two endpoints to a third point, C, on the circle. Given m AB =64° and ABC=73° , mACB=.......° and mAC=....°
Answers
Inscribed angles are formed when two chords have 1 common endpoint. The measure of [tex]\angle ACB[/tex] and [tex]\overset{\huge\frown}{AC}[/tex] are:
[tex]\angle ACB = 32^o[/tex]
[tex]\overset{\huge\frown}{AC} = 146^o[/tex]
Given that:
[tex]\overset{\huge\frown}{AB} = 64^o[/tex]
[tex]\angle ABC = 73^o[/tex]
See attachment
First, we calculate [tex]\angle ACB[/tex] using:
[tex]\angle ACB = \frac{1}{2} \times \overset{\huge\frown}{AB}[/tex] ----- An inscribed angle is half the arc it intercepts
So, we have:
[tex]\angle ACB = \frac{1}{2} \times 64^o[/tex]
[tex]\angle ACB = 32^o[/tex]
Using the same theorem, we calculate [tex]\overset{\huge\frown}{AC}[/tex] as follows:
[tex]\angle ABC = \frac{1}{2} \times \overset{\huge\frown}{AC}[/tex]
So, we have:
[tex]73^o = \frac{1}{2} \times \overset{\huge\frown}{AC}[/tex]
Multiply both sides by 2
[tex]2 \times 73^o = 2 \times \frac{1}{2} \times \overset{\huge\frown}{AC}[/tex]
[tex]2 \times 73^o =\overset{\huge\frown}{AC}[/tex]
[tex]146^o =\overset{\huge\frown}{AC}[/tex]
Hence:
[tex]\overset{\huge\frown}{AC} = 146^o[/tex]
Read more about inscribed angles at:
https://brainly.com/question/15899344
Answer:
your correct answers are 32 and 146
Step-by-step explanation:
to get 32, divide 64 by 1/2
To get 146, multiply 73 by 2
Hope I helped, got it right on test:)
PT=4x+3 and TQ=8x-9 Find the value of PT
Answers
Step-by-step explanation:
4x+3+8x-9+y=180
What is the value of the expression below when w=2w=2? 8w+10
Answers
Answer:
The answer is 26.
Step-by-step explanation:
When you place the 2 next to the 8 you have to multiply it and then add the 10 to get the answer for the equation which is 26. Put it all in the calculator will be easier by putting it like this 8*2+10.
I hope this helps!
Answer:
Step-by-step explanation:
8w^2 +8w+9
8w
2
+8w+9
\color{dodgerblue}{w}=\color{dodgerblue}{2}
w=2
Given
8(\color{dodgerblue}{2})^2 +8(\color{dodgerblue}{2})+9
8(2)
2
+8(2)+9
Substitute \color{dodgerblue}{2}2 for \color{dodgerblue}{w}w
8(4) +8(\color{dodgerblue}{2})+9
8(4)+8(2)+9
Deal with exponent
32 +8(\color{dodgerblue}{2})+9
32+8(2)+9
Multiply
32 +16+9
32+16+9
Multiply
57
57
Add
Your Solution:
57
57
How many eight-digit numbers can be formed if the leading digit cannot be zero and the last number cannot be 1 ?
Answers
Answer:
128 unique numbers
Step-by-step explanation:
Since only 0 and 1 are to be used, an 8 digit number will have a leading 1. The rest 7 places are free to be either 0 or 1
Eddie Foster packs and seals pens at rate of $0.235 per pack. At the end of his eight-hour
shift, Foster has packed and sealed 480 packs of pens. How much did he earn?
Answers
Answer:
$112.80
Step-by-step explanation:
If he earns $0.235 per pack, and there are 480 packs, then our equation is:
0.235 x 480 = $112.80
The amount of money earned by Eddie for packing and sealing packs of 480 pens is $112.8
What is unitary method?
The method in which first we find the value of one unit and then the value of the required number of units is known as the Unitary Method.
According to the given question.
Amount of money charged by Eddie for packing and sealing a pack of pens = $0.235
Therefore,
The amount of money charged by Eddie for packing and sealing packs of 480 pens
= 480 × $0.235
= $112.8
Hence, the amount of money earned by Eddie for packing and sealing packs of 480 pens is $112.8
Find out more information about unitary method here:
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what is 30 + 8h = 50 + 6h
Answers
Answer:
h=10
Step-by-step explanation:
30 + 8h = 50 + 6h
8h-6h=50-30
2h=20
h=10
Answer:
Answer:
h=10
Step-by-step explanation:
Step-by-step explanation:
30 + 8h = 50 + 6h
8h-6h=50-30
2h=20
h=10
Help............................
Answers
Answer:
0
Step-by-step explanation:
Degree of a term is known as the power of the variable. As the constant term has no variable , the degree of the constant term is 0.
Here 7 is a constant term. As 7 doesn't have any variable , it can be also written as:-[tex]7 = 7x^0[/tex]
And here the power of [tex]x^0\\[/tex] is 0 , so the degree is 0.
Why do you need to apply a force in order to get the box to move
Answers
Answer:
The reason one must apply a force to a box in order for the box to move is to overcome the friction generated by the box against the plane the box is sitting.
The box at rest has zero friction against the surface on which it sits. Once a force is applied, a box's movement is resisted by the friction created from contact with the surface.
In order for the box to move, one must generate more force than is being generated by the friction of the surface onto the box, allowing the box to move.
Cheers.
india experienced a golden age under the gupta empire. which statement describes this period?