Given: KLMN is a parallelogram, LF is perpendicular to KN, LD is perpendicular to NM, angle FLD = 35. Find angles of KLMN
Answers
The question is four parts, It is required the angles of parallelogram KLMN
So, It is required ⇒ ∠K , ∠L , ∠M and ∠N
See the attached figure which represents the explanation of the problem
========================
Part (1): Find ∠N:
==============
in the shape FLDN
∵ LF ⊥ KN ⇒⇒⇒ ∴ ∠LFN = 90°
∵ LD ⊥ NM ⇒⇒⇒ ∴ ∠LDN = 90°
∵ The sum of all angels of FLDN = 360°
∵ ∠FLD = 35°
∴ ∠FLD + ∠LDN + ∠DNF + ∠LFN = 360°
∴ 35° + 90° + ∠DNF + 90° = 360°
∴ ∠DNF = 360° - ( 90° + 90° + 35°) = 360° - 215° = 145°
∴ The measure of angle N = 145°
=============================
Part (2): Find ∠M:
==============
∵ KLMN is parallelogram , ∠N = 145°
∴ The angles N and M are supplementary angles ⇒ property of the parallelogram
∴ ∠M + ∠N = 180°
∴ ∠M = 180° - ∠N = 180° - 145° = 35°
∴ The measure of angle M = 35°
================================
Part (3): Find ∠L:
==============
∵ KLMN is parallelogram , ∠M = 35°
∴ The angles N and M are supplementary angles ⇒ property of the parallelogram
∴ ∠M + ∠KLM = 180°
∴ ∠KLM = 180° - ∠M = 180° - 35° = 145°
OR ∠KLM = ∠N = 145° ⇒⇒⇒ property of the parallelogram
∴ The measure of angle KLM = 145°
===================================
Part (4): Find ∠K:
==============∵ KLMN is parallelogram , ∠N = 35°
∴ The angles N and M are supplementary angles ⇒ property of the parallelogram
∴ ∠K + ∠N = 180°
∴ ∠K = 180° - ∠N = 180° - 145° = 35°
OR ∠K = ∠M = 35° ⇒⇒⇒ property of the parallelogram
∴ The measure of angle K = 35°
Answer:
m∠K= 35°, m∠KLM= 145°, m∠M= 35°, m∠N = 145°
Step-by-step explanation:
Related Questions
Rational function / Adding
Please draw steps and show answer
Answers
Answer:
(6x² +20x -5)/(x² +6x +8)
Step-by-step explanation:
You want the sum of (5x)/(x+2) and (x² -5)/(x²+6x+8).
Common denominatorEach term can be expressed with the same denominator. Then the numerators can be added.
[tex]\dfrac{5x}{x+2}+\dfrac{x^2-5}{x^2+6x+8}=\dfrac{5x(x+4)}{(x+2)(x+4)}+\dfrac{x^2-5}{(x+2)(x+4)}\\\\\\=\dfrac{5x^2+20x+x^2-5}{(x+2)(x+4)}=\boxed{\dfrac{6x^2+20x-5}{x^2+6x+8}}[/tex]
<95141404393>
Proportions, please answer the questions on the attached file.
Stop reporting me, I do not see what I am doing wrong.
Answers
6.) 36 bottles
7.) 22 games
8.) 7.25 miles
6) 36 bottles
7) 22 games
8) 7.25 miles
Savvas question. can anybody find the answer to this?
Answers
Answer:
Step-by-step explanation:
(10-6)/(0-24)
=4/(-24)
=0.166
Which equation would you use to find the distance between the two points?
A. |-6 - 5|
B. |6 - 5|
C. |6 - (-5)|
D. |-6 + 5|
Answers
Displacement is a vector quantity so it may be either positive or negative. As per convention, acceleration taken as positive when moves downward direction. But, in our case, acceleration towards downward taken as negative, so displacement should also be negative because negative sign only indicate its downward direction.
it's C because |-6 - 5| can be simplified to |6+5| which is |11| therefore, the distance is 11 blocks.
A rock climber averages 12 3/5 feet per minute. Write and solve an equation to find how many feet x the rock climber climbs in 30 minutes.
Answers
Answer:
378
Step-by-step explanation:
The question is asking us to solve and write an equation to find the amount of feet he/she climbs in 30 mins
12[tex]\frac{3}{5}[/tex] feet per min: 5 x 12 + 3 = [tex]\frac{63}{5}[/tex]
(or 30 x [tex]\frac{63}{5}[/tex] = 378 too, many ways to solve this, possibly.)
simplify - multiply = 6 x 63 = 378
(30 x [tex]\frac{63}{5}[/tex] = 378)
(12[tex]\frac{3}{5}[/tex] x 30 = 378)
simplify - multiply = 6 x 63 = 378
(all ways work)
Bye, have a great day.
°Jessica poured water into the rectangular tank until it was 2/3 full. Then, she poured some of the water out until it was 2/5 full. How much water did she pour out of the tank? give you answer in millimeters°
Can someone at least explain me the answer? That’s all I need
I’m a fifth grader
If you want you can answer it ✨
Answers
Answer:
well first you would need to find the lowest common denominator for both of these which would be 15 and then divide the top number by the number it takes the denominator to get to 15 which for 2/3 it would become 10/15 and 2/5 would be 6/15 and since the equation wants how much she got rid of it would be 10/15-6/16 which equals 4/15 as your answer which you might be able to simplify
Step-by-step explanation: this was on mobile lol
need help please hurry
Answers
1: Y=X•7
2:Y=X•9
3:Y=X•13
4Y=X÷10
5Y=X•5+1
6I Don't Know
2.y=x•9
3.y=x•13
4. x=y•10
5.y=5x+1
6. y=4x+5
How do you use the product rule with 2 different bases? I forgot
Ex: 2n power of 4 x 5n power of 4
Answers
Answer:
Step-by-step explanation:
[tex]2n^4*5n^4\\\\2(5)*n^{4+4}\\\\10n^8[/tex]
In your example, the terms have the same bases, so you just add them together.
Hope this helps!
Georgina likes to read during her summer break. The table below shows the number of pages in each book she read last summer and the number of pages in each book she read this summer.
Number of Pages Georgina Reads during the Summer
Last Summer
140
220
190
180
190
This Summer
150
170
150
190
180
What inference can someone draw about the data?
The books she read this summer had more pages, on average, than last summer.
The number of pages in each book varied more last summer than this summer.
Last summer, the average book had nearly twice the number of pages than the average book has this summer.
This summer, the number of pages in a book varied nearly twice as much as the number of pages in last summer's books
Mark this and return
Answers
Answer:
The number of pages in each book varies more last summer than this summer
Choose the model for the problem 1/4 divided by 5 .
5/8
3/40
1/20
1/4
Answers
Hey there!
1/4 ÷ 5
=> 4/1 × 5/1
=> 20/1
Therefore, 20/1 is the answer
Answer:
[tex]\frac{1}{20}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}\div 5\\\\ \frac{1}{4}*\frac{1}{5}\\\\\frac{1}{20}[/tex]<== final answer
Hope this helps!
can you help me please
Answers
55+14= x-14+14
[simplify]
Answer : 69=x
work below:
Determine the circumference of the given circle.
Answers
Answer:
c 200.96 cm2
Step-by-step explanation:
i take the test
To make hummingbird nectar you must use 4 cups of water and 1 cup of sugar. What is the ratio of water to sugar?
Answers
there are 4 cups of water for every 1 cup of sugar
If ΔSTU is reflected over the y-axis, what are the coordinates of the vertices of ΔS’T’U’? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.
Answers
Answer:
Step-by-step explanation:
(20 POINTS) What is m∠BAC?
Answers
Answer:
40°
Step-by-step explanation:
angle on a straight line = 180°
therefore
140+ m<BAC = 180°
m<BAC = 40°
Answer:
the angle BAC is 40 degrees
What is 6/7 divided by 2
Answers
Answer:
that is 6/14, which is 3/7 when simplified.
Step-by-step explanation:
Change 2 into a fraction (2/1)
To divide by a fraction, multiply by its reciprocal (6/7x1/2)
That equals 6/14
Simplify to 3/7
Answer :D
[tex]\frac{3}{7}[/tex] (3/7)
Question explanation:
[tex]\frac{6}{7}[/tex]÷ [tex]\frac{2}{1}[/tex]= 6 x 1 = [tex]\frac{6}{14}[/tex] = (simplifying) = [tex]\frac{3}{7}[/tex]
(7 x 2)
Sorry if this answer is incorrect - Answered by Lilo
needs help with this!!!
Answers
Answer:
[tex]y^1=-1(x-1)+(1+9)[/tex]
Step-by-step explanation:
[tex]y=-1x+1\ \ == > \ \ y^1=-1(x-1)+(1+9)[/tex]
-1 horizontally = 1 units left (the x-axis)
9 vertically = 9 units up (y-axis)
*Black line: is the preimage
*Red line is the translation
Hope this helps!
I sent it again:
PLEASE ANSWER QUICK IM CONFUSED
Answers
Step-by-step explanation:
3a.
there are 40 students.
each one had to get to school one way or another. so, all of them have to be in the table in one category.
I am just surprised that "car" is not an option there.
anyway, we have
11 + 7 + 9 + 6 = 33
so, there are 40-33 = 7 students left for the train category.
3b.
I cannot draw it for you.
but you need to consider the following table :
all 40 students are the full 360° of the circle.
school-bus are 11 students = 11/40 × 360 = 11×9 = 99°
public bus are 7 students = 7/40 × 360 = 7 × 9 = 63°
walk are 9 students = 9/40 × 360 = 9 × 9 = 81°
bicycle are 6 students = 6/40 × 360 = 6×9 = 54°
train are 7 students = 7/40 × 360 = 7 × 9 = 63°
as you can see, the sum is again 40 students and 360°.
you need to draw these 5 pie slices with these angles.
and in each slice you write the number of students in that category.
together, side by side, all 5 slices will fill the whole circle.
HELP I WILL GIVE BRAINLIEST!!!
Answers
Answer:
use the formula 22/7 x r^2
r is the radius. the radius is half of the diameter. the diameter is the line that cuts the circle into two parts running through the center
The equation for area is r to the second power then time by pie and pie is 3.14 so the diameter is 20 and radius is half the diameter so 20 divided by 2 is 10 know to the second power so time 10 is 100 they time pie
So 8 is 314
Know for 9 they already give me the radius it’s just sideways and you can pull a circle infinite amount of times so 6×6 equals 36 and 36×3.14 is 113.04
9 is 113.04
10 is easy so the radius is 12 so 12 time 12 is 144 them times 3.14 getting you 452.16
10 is 452.15
11 the diameter 14 so 14 divided by 2 is 7 then 7x7 is 49 then time 3.14 153.86
11 is 153.96
So 12 is 25 divided by two To the second power then times 3.14 getting 490.625
12 is 490.625
no just do the rest I taught you to solve 13 but tell you the answer anyways it is 706.5 but try to get that what I taught you
14 14 is gonna be the hardest because it’s morning but it’s pretty easy first we’re gonna find the area of the unshaded part so the radius is three so 3×3 is nine and 9×3.14 is 28.26
The unshaded part is 28. 26
Know the Shaded part this is gonna be harder
We’re going to have to do 10+3 to get the radius of the whole circle so 10+3 is 13 13×13 is 169 then Times that by 3.14 getting 530.66
Then you subtract your last answer from the unsheeted part from that which getting you 502.4
So 14 is 502.4
help me quick I'll give brainliest to the person with the correct answer
Answers
Answer:
The last one
Step-by-step explanation:
When you put it together it will equal the correct shape.
PLEASE HELP!!!!! I have attached a screenshot of the questions and please do all of them and if you get the answer right and do a good job explaining i will give brainliest. There are 4 questions total please do all of them. HAS TO HAVE RIGHT ANSWER!!!!!
Answers
Answer:
Question 1: y = x + 4 if x>5
Question 2: y = x
Question 3: y = -x-4
Question 4: y = 3x-6
Step-by-step explanation:
Ok, I will admit, these questions are a bit confusing, but I will try my best.
Question 1: y = |x-3| + |x+2| - |x-5| if x>5. So, let's plug in a number greater than 5 - 6. y = |6-3| + |6+2| - |6-5|. Inside the absolute value, every number is positive, which pretty much renders the absolute value symbol useless. So, you can take the equation and change the absolute value lines into parentheses. y = (x-3) + (x+2) - (x-5). In order to get rid of the parentheses, you have to distribute any subtraction symbols which is in front of x-5. This makes our equation y = x - 3 + x + 2 -x + 5. Combine like terms to get y = x + 4 if x>5.
Question 2: y = |x-3| + |x+2| - |x-5| if -2<x<3. Let's plug in a number between -2 and 3 so 0. y = |0-3| + |0+2| - |0-5|. x-3 becomes a negative number, x+2 becomes a positive number, and x-5 becomes a negative number. Just like question 1, we can leave the x+2 alone since it's a positive number, but we have to change the x-3 and the x-5. So we'll take the equation and change the absolute value to parentheses, but for the values that are negative, we have to put a negative sign in front of to make it positive. Our equation looks like y = -(x-3) + (x+2) - -(x-5). Since there are two negatives in front of x-5, we can just make it a plus sign. We distribute the negative to x-3 to make our equation y = -x+3 + x+2 + x-5. Combine like terms to get y = x
Question 3: y = |x-3| + |x+2| - |x-5| if x<-2. Let's plug in -3 since it's less than -2. y = |-3-3| + |-3+2| - |-3-5|. All three parts of the function are negative numbers, so when we change it to parentheses, all parts will have a negative to distribute. Our equation looks like y = -(x-3) -(x+2) - -(x-5). Since there are two negatives in front of x-5, we can just make it a plus sign. We distribute the negative to x-3 and x+2 to make our equation y = -x+3 + -x-2 + x-5. Combine like terms to get y = -x-4.
Question 4: y = |x-3| + |x+2| - |x-5| if 3<x<5. Let's plug in 4 since it's in between 3 and 5. y = |4-3| + |4+2| - |4-5|. Only x-5 is negative so that's the only one we need to put a negative in front of when we change it to parentheses. Our equation looks like y = (x-3) + (x+2) - -(x-5). Since there are two negatives in front of x-5, we can just make it a plus sign. Our equation is now y = x-3 + x+2 + x-5. Combine like terms to get y = 3x-6.
Hope this helps! :)
how many more plants are less than 3 2/4 inches that are greater than 3 2/4 inches?
Answers
Answer:
0 because there is no in-between of 3 2/4 and 3 2/4
Step-by-step explanation:
find slope please giving brainly
Answers
Question 7 (Worth 5 points)
(04.05 MC)
The regular price of a hooded jacket is $25.75. During a sale, the jacket was marked as 20% off. What was the approximate price of the jacket during the sale?
$5.15
$20.60
$21.62
$23.75
Answers
Answer:
$20.60
Step-by-step explanation:
$25.75 x 20% = $5.15
$25.75 - $5.15 = $20.60
Answer:
$23.75
Step-by-step explanation:
find the area of the polygon.
Answers
Answer: 72
Step-by-step explanation:
6 * 2 = 12
12 / 2 = 6
6 * 2 = 12
12 / 2 = 6
6 * 10 = 60
60 / 2 = 30
6 * 10 = 60
60 / 2 = 30
30 + 30 + 6 + 6 = 72
What type of triangle is ΔABC? A) equiangular B) equilateral C) isosceles D) scalene
Answers
Answer:
D) scalene
Step-by-step explanation:
The triangle shown is a scalene. All three sides of the triangle are different lengths.
Determine the x- and y- intercept of
y = - 1/3 x + 3
Which ordered pairs in the form of ( x, y ) are solutions to the equation?
Answers
(0,3) , (1, 8/3) (2,7/3)
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
2 1/4 = ?
4.00%
225%
2.25%
400%
Answers
Answer:
225%
Step-by-step explanation:
Convert the fraction to a decimal, then multiply by
100
.
This question is what needs solved
Answers
Answer:
B
Step-by-step explanation: