If each quadrilateral below is a rectangle, find the missing measure.
please help :(
Answers
Answer:
m<JMK = 54
m<JKH = 63
m<HLK = 90
m<HJL = 27
m<LHK = 63
m<JLK = 27
Step-by-step explanation:
1. Solve for m<JMK
It is given that (<HMJ) and (<JMK) form line (HK), meaning that they are supplementary angles. Thus, their degree measures add up to (180), using this one can form the following equation,
(<HMJ) + (<JMK) = 180
126 + (<JMK) = 180
(<JMK) = 54
2. Solve for m<JKH
It is given that the figure is a rectangle, one of the properties of a rectangle is that diagonals are congruent, and the diagonals bisect each other. This means that segments (JM) and (MK) are congruent. Hence, the triangle (JMK) is an isoceles triangle. Therefore, one can use the base-angles theorem, which states that (<MJK) is congruent to (<JKH). Since the sum of angle measures in any triangle is (180), one can form the following equation,
(<JMK) + (<MJK) + (<JKH) = 180
54 + 2(<JKH) = 180
<JKH = 63
3. Solve for m<HLK
As per its definition, the corner angles in a rectangle are always (90) degrees, this property is applicable for the given rectangle. Thus, (<HLK) = 90 degrees.
4. Solve for m<HJL
To solve for this angle, one can use similar logic as they did to solve for (<JKH). Form the following equation and solve,
(<HMJ) + (<HJL) + (<JHK) = 180
126 + 2(<HJL) = 180
(<HJL) = 27
5. Solve for m<LHK
The vertical angles theorem states that when two lines intersect, the opposite angles are congruent. One can apply this theorem here and say (<JMK) = (<HML). Then, to solve for this angle, one can use the same logic that they used to solve for (<JKH) and (<HJL). Form the equation and solve,
(<HML) +(<LHK) + (<HLJ) = 180
54 + 2(<LHK) = 180
<LHK = 63
6.Solve for m<JLK
To solve for this angle, one can use the same logic that they used to solve for (<LHK). Form the equation and solve,
(<LMK) + (<JLK) + (HKL) = 180
126 + 2(<JLK) = 180
<JLK = 27
Related Questions
Help me with this EdPuzzle pls.
Answers
Answer:
2 in^3
Step-by-step explanation:
First you find the volume of one cube by doing 1/2*1/2*1/2, after this you times this number by 16 to get the volume of the whole structure
Ms. Watson's recipe uses
1 cup of milk to make 12 biscuits.
How many cups of milk will be used to make 36 biscuits?
Answers
Answer:
1 cup = 12 biscuits
2 cups = 24 biscuits
3 cups = 36 biscuits
So, 3 cups make 36 biscuits.
Step-by-step explanation:
36 ÷ 12 = 3
Answer:
3 cups of milk
Step-by-step explanation:
1 cup = 12 biscuits
x cups = 36 biscuits
1/12 = x/36
cross multiply
36 = 12x
36/12 = 12x/12
3 = x
1. -2x(x+3)-(x+1)(x-2) =
Answers
Answer:
[tex]-3x^2 -7x + 2[/tex]
Step-by-step explanation:
Given
[tex]-2x(x + 3) - (x+1)(x - 2)[/tex]
Required
Solve
Open brackets
[tex]-2x^2 -6x - (x^2-2x + x - 2)[/tex]
[tex]-2x^2 -6x - x^2-2x + x + 2[/tex]
Collect like terms
[tex]- x^2-2x^2 -6x -2x + x + 2[/tex]
[tex]-3x^2 -7x + 2[/tex]
help nowwwww plss!!!!
Answers
2. 3,400
3. 2,000
Answer:
1. 120
2. 6400
3. 702000
Hope this help!
Step-by-step explanation:
HELP ME PLEASE ITS FOR MY NEXT YEARS CLASS
A local park currently has 150.04 square meters of grassy area. The members of a community group have proposed the following changes to the way the park land is used.
Clearing dead trees and shrubs would allow for 37.51 square meters of additional grassy area.
Removing an unused picnic pavilion would allow for 82.70 square meters of additional grassy area.
Updating and expanding the playground would reduce the grassy area by 54.19 square meters.
How many square meters of grassy area would the park have if all of the community group's proposals were applied?
A.
66.02 square meters
B.
95.85 square meters
C.
216.06 square meters
D.
249.42 square meters
Answers
Answer: they would have 216.06 square meters of grassy area left in the park
Step-by-step explanation: if you start with 150.04 and add 37.51 by removing trees and shrubs you would have 187.55 and then if you added 82.70 more square feet by removing the unused Picnic pavilion you would have 270.25 square meters of grassy area. Then lastly is you update the playground by reducing 54.19 square meters ( 270.25-54.19) you would get left with 216.06 square meters of grassy area :)
A rectangle has 2 sides that are 23 meters and 2 sides that are 19 m. What is the rectangle’s perimeter?
Group of answer choices
Answers
Answer: 84 meters
Step-by-step explanation:
Add the sides together. 23+23=46
then add 19+19=38 the total perimeter is 46+38= 84 meter's
find the slope of the function: y²+x²y+x²=1 at the point (-1,2)
Answers
I solve in photo
y=x-3
Let me know if that’s right
Fell free to give brainily as it would help a lot
Where are my smart friends?? I had $370.00. My Mom gave $150.00. My Dad gave $150.00. My Aunt and Uncle gave me $100.00. I had another $30.00. How much did I have?
Answers
Answer:
im ur smart friend
Step-by-step explanation:
370.00 plus 150.00 equals to 520.00
520.00 plus another 150.00 equals to 670.00
670.00 plus 100.00 equals to 770.00
770.00 plus 30.00 equals to $800.00 total
Answer: $800 total
Answer: it says had so its $400
Step-by-step explanation:
Its 370+30=400
Please help I will give points
Answers
Answer:
1/32
Step-by-step explanation:
...
a bag of sweets contains only two different flavours-strawberry and orange
the probability that a sweet is strawberry flavour is 0.8
what is the probability that a sweet is orange flavour
Answers
Answer:
0.2
Step-by-step explanation:
hope this helps you. have a good day
3 . Based on the histogram above, how are the data distributed, and where is the mean located in relation to the median?
A. Negatively skewed, and the mean is to the left of the median
B. Positively skewed, and the mean is to the right of the median.
C. Negatively skewed, and the mean is to the right of the median.
D. Positively skewed, and the mean is to the left of the median.
Please help branliest to correct answer
Answers
The given histogram is Negatively skewed, and the mean is to the right of the median.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
For a symmetric histogram, the values of the mean, median, and mode are all the same and are all located at the center of the distribution.
A negatively skewed distribution is a type of distribution in which more values are concentrated on the right side of the distribution graph while the left tail of the distribution graph is longer
The data distributed where is the mean located in relation to the median is to the right side.
Hence, the given histogram is Negatively skewed, and the mean is to the right of the median.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ5
Can Anyone help me with this assignment please
Answers
Answer: Answers are in step by step. please like and give a review.
Step-by-step explanation:
1. An obtuse angle is an angle that is greater than 90 degrees but less than 180 degrees.
2. 5x - 8 = 37 if and only if x = 9.
3. If two angles have the same measure, then they are congruent. If two angles are not congruent, then they do not have the same measure. If two angles do not have the same measure, then they are not congruent.
4. 2x + 5 = 3 , then x = 3
5. With 3 equal sides is a equilateral triangle
what is value of x in 96-3x=6
Answers
Explanation:
96-3x=6
-96 -96
subtract 96 from both sides
-3x=-90
now divide -90 by -3
-3/-90= 30
x=30
Answer:
X= 30
Step-by-step explanation:
96-3x=6
first move all terms not containg x to the right side of the Equation
Subtract 96 from both sides of the equation.
-3x = 6 - 96
subtract 96 from 6 and u will get
-3x= -90
Then u will have to divide each term by -3 and simplify which will get u
-3x/-3 when u divide from that u should get -90/-3
Then divide x by 1 and itll equal
x= -90/-3
Then divide -90 by -3 and you will get
x= 30
I hope this is good
I need the answers and explanation please ill mark brainliest
Answers
Answer:
(from top row to bottom row, left to right) 4, 32, 128, 12, 24, 96
Step-by-step explanation:
So, the first pair in the table would be 2/3 (club soda to grape juice). You can use that pair, or in other mathematical terms fraction, to generate other fractions equivalent to it, such as 4/6, 8/12, and 16/24 (those are some of the fractions in the table btw :D).
Hope this helped :D
(and have a great day/afternoon/night!!)
What is the height of a rectangle with a perimeter of 152.8 mm and base
length of 72.2 mm?
Answers
4.2
Step:
P=2( base+height)
152.8= 2*72.2 + 2(height)
152.8-144.4 = 2* h
h = 8.4/2= 4.2
What is the measure of n?
5
m
15
n
n =
V[?]
Enter
Answers
9514 1404 393
Answer:
n = √75
Step-by-step explanation:
The value of n is the root of the product of the two hypotenuse segments it touches:
n = √(5·15)
n = √75
__
Additional comment
Likewise for m:
m = √(5(5+15)) = √100
m = 10
Answer:
the answer is n=75
Step-by-step explanation:
:))))
Which statement best describes how to create the graph below from parent function? Help please
Answers
Answer:
D
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
A P E X
3. Find the equation of a line that passes through the x-intercept of the line 3x+ 6y = 8 and is perpendicular to the line 2x - 5y = 10.
Answers
Answer:
y = -5/2x + 20/3
Step-by-step explanation:
x-int of 3x + 6y = 8
sub 0 for y
3x + 6(0) = 8
3x = 8
x = 8/3 or 2.667
line perpendicular to 2x - 5y = 10
put into y = mx + b form
2x - 5y - 10 = 0
5y = 2x - 10
y = 2/5 x - 2
find negative reciprocal of the slope 2/5 x (for the perpendicular line)
-5/2 x
find the y-int (b)
m = -5/2 x
must pass through (8/3,0)
y = mx + b
0 = -5/2(8/3) + b
0 = -40/6 + b
b = 20/3
therefor the equation of the line is y = -5/2x + 20/3
The price for a car in 2015 was RM 54000. This was 10% higher compared to the year 2014?
Answers
Answer:
2014 price was $49,091
Step-by-step explanation:
I'm assuming you want to solve for 2014 year price...
2015 year price is 54,000 and was 10% higher than 2014 price, meaning 2015 price is 110% of 2014 price so...
p×110%=54,000
p=54,000/1.1
p=49,090.90
Which is bigger: 4 quarts or 9 pints?
Answers
Answer:
9 pints
Step-by-step explanation:
4 quarts is equal to 8 pints.
The volume of the jar is 88, it has a radius sq. of 4. What is the height of the jar? Round the answer to the nearest unit.
Answers
Answer:
The height of the jar is 1.75.
Step-by-step explanation:
Given that the volume of the jar is 88, and it has a radius of 4, to determine what is the height of the jar, the following calculations must be performed, knowing that the volume of a cylinder arises from multiplying pi by the radius squared, and multiplying that result by the height:
3.14 x 4 ^ 2 x H = 88
3.14 x 16 x H = 88
50.24 x H = 88
H = 88 / 50.24
H = 1.75
Thus, the height of the jar is 1.75.
Complementary angles are angles whose measurements add up to be 180 degrees
True Or False
Answers
Answer:
False
Step-by-step explanation:
Complimentary angles add up to 90°, supplementary angles add up to 180°.
HELP ASAP PLEASE EMERGENCY! Find the area of the shape shown below
Answers
Answer:
IT SHOULD BE 240
Step-by-step explanation:
1) Multiply 20 by 10 for 200
2) Lenght=20 so half is 10
3) multiply 10 by 4 and divide by 2 which gives 20
4) Multiply 20 by 2 because there are 2 rectangles which gives us 40
5) Add 200 and 40 which gives answer of 240
HELP ASAP !I Really need help with this , can someone help me please ? I don’t quite get it & need to turn this in
Answers
All problems that are linear increase by a constant rate, ones that increase exponentially increase by a percentage or decimal
If you only have a
1
6
cup measuring cup and a recipe calls for
12
5
6
cups of flour, how many 1/6 cups would you need to use?
Answers
Answer:
I don't know rusuejwkdktosogo r
HELP ASAP !!! giving out the brainliest answer !!! plsss help (has to be correct )
Answers
Answer:
sin D
Step-by-step explanation:
i think
or cos D
Answer:
24/25=sin F
Cos D = 24/25
Step-by-step explanation:
What is the value of y?
Answers
Answer:
-1
Step-by-step explanation:
What is the volume of the triangular prism?
A) 180 cm
B) 360 cm
C) 720 cm
D) 1440 cm
Answers
When Sebastian left his house in the morning, his cell phone battery was partially
charged. Let B represent the charge remaining in Sebastian's battery, as a
percentage, t hours since Sebastian left his house. The table below has select values
showing the linear relationship between t and B. Determine how much battery life
Sebastian's phone would have 4 hours after leaving his house.
t
B
1
36
2.5
31.5
5
24
Answers
what is 2/5 * 2 3/4 equal to
Answers
Answer: the answer 11/10 1.1 sorry if its wrong
Step-by-step explanation: have a nice day buddy
happy easter