L U C K luck is parallelogram with ∠C=68° and ∠LUK=42° find: 1.
m∠ CUK 2. m∠ K
Answers
Answer:
1. m∠CUK = 70°
2. m∠K = 112°
Step-by-step explanation:
1. The given parameters of the parallelogram LUCK are;
∠C = 68°
∠LUK = 42°
From the diagram of parallelogram LUCK obtained from an online source, we have;
Given that LUCK = A parallelogram, we have;
The same side interior angles ∠C and ∠U are supplementary angles
Therefore;
∠C + ∠U = 180°
∠U = 180° - ∠ C
∴ ∠U = 180° - 68° = 112°
∠U = 112°
By angle addition property, ∠U = ∠LUK + ∠CUK
∴ m∠CUK = ∠U - ∠LUK
By plugging in the value of ∠LUK = 42°, and ∠U = 112°, we have;
m∠CUK = ∠U - ∠LUK = 112° - 42° = 70°
m∠CUK = 70°
2. By angle addition property, we have;
∠K = ∠LKU + ∠CKU
∠LKU and ∠CUK are alternate interior angles
∴ ∠LKU = ∠CUK = 70°
Similarly, ∠CKU and ∠LUK are alternate interior angles
∠CKU = ∠LUK = 42°
m∠K = ∠LKU + ∠CKU = 70° + 42° = 112°
m∠K = 112°.
Related Questions
Which sets of side lengths could form a triangle? Choose all that apply.
4cm, 6cm, 9cm
3cm, 4cm. 9cm
4cm, 5cm, 9cm
5cm, 5cm, 9cm
3cm, 6cm, 9cm
Answers
Answer:
4, 6, 9 and 5, 5, 9
Use matrices to determine the coordinates of the vertices of the rotated figure. Then graph the pre-image and the image of the same coordinate grid. Rot90 for UVW with vertices U(-4, 7), V(5, 4), and W(5, -5).
Answers
Answer:
The answer is A
Step-by-step explanation:
just got it right on edge :)
The images of the points are U' (-7, -4), V' (-4, 5), W' (5, 5)
What is Rotation?A rotation is a type of transformation that rotates each point in a figure a specific number of degrees around a particular point.
90° clockwise rotation: (x,y) becomes (y,-x) 90° counterclockwise rotation: (x,y) becomes (-y,x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y) 270° clockwise rotation: (x,y) becomes (-y,x)When we rotate a point around the origin by 90° clockwise or anti-clockwise, (x,y) becomes (y,-x) .
- Then matrix of the rotation 90° is
[tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex]
We have the point U (-4, 7) and its image is
U' =[tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}-4\\7\end{array}\right][/tex]
U' = [tex]\left[\begin{array}{ccc}-7\\-4\end{array}\right][/tex]
and, point V is (5, 4) and its image is
V' = [tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}5\\4\end{array}\right][/tex]
V' = [tex]\left[\begin{array}{ccc}-4\\5\end{array}\right][/tex]
and, point W is (5, -5) and its image is
W' = [tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}5\\-5\end{array}\right][/tex]
W' = [tex]\left[\begin{array}{ccc}5\\5\end{array}\right][/tex]
So, The images of the points are U' (-7, -4), V' (-4, 5), W' (5, 5)
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Please tell me the expression to this
Answers
Answer:
5(5x+11)
Step-by-step explanation:
Answer: 5(5x+11)
Step-by-step explanation:
What multiplies to be 25x, 5 and 5 x is the answer, 5 goes on the left because of the next step which is what times what equals 55. 5 times 11 equals 55. So 11 is on the top while 5 is on the left,
How do I do this? I don't Understand.
Answers
the answer is 151
360- every number there is 151
Which of the following could be the answer to a statistical question?
А 10
B Yes
C "December 18th"
D 2. 18. 32. and 40"
help I will mark you
Answers
Answer:
the solution would be 10 to the best of my knowledge
Please help, I don't get this
Answers
Answer:
The answer is c
Step-by-step explanation:
My college brother told me this is the answer if it isn't I'm sorry but it's his fault
A survey is conducted at two junior high
schools asking students about the number of
sodas they consume each day.
Sodas Consumed Per Day
HE
Junior High
Junior High B
1
Based on the data shown in the graphs,
which statement is true?
Answers
Answer:
A
Step-by-step explanation:
You people my pl
Which equation shows a quadratic function where the vertex is at the origin?
a. y = –4x
2 + 4
b. y = 4x
2
c. y = 4x
2 + 4
d. y = −4x
2 + 4x – 1
Answers
Answer:
B. y = 4x
2 + 4
Step-by-step explanation:
sana nakatulong
The sum of three numbers is 41.the second number is 5 times the first.the third number is 14 less than the second.what is the third number?
Answers
Answer:
the third number is 11
Step-by-step explanation:
the first number is 5 so the second number since its five times the first is 25 and the third being 14 less then the second is 11
so 5+25+11= 41
subtract the cube root of the product of h and 3k from the square of the sum of p and q
Answers
Answer:
(p + q)² - ∛(h·3k) or (p + q)² - ∛(h·3k)
Step-by-step explanation:
Cube root of x: ∛x
Product of h and 3k: h·3k
Sum of p and q: p + q
*****************************
From (p + q)² subtract ∛(h·3k) This becomes, symbolically:
=> (p + q)² - ∛(h·3k)
Evaluate:
-│-23│ = ____
Answers
Answer:
-23
Step-by-step explanation:
Using the absolute rule,
[tex]\left|-a\right|=a[/tex].
Therefore,
[tex]-|-23|=-23[/tex]
(It becomes 23 first, but then you stick the negative sign after)
Carly went to walk her dog at 11:45 a.m. and got back home at 12:30 p.m. How long
was her walk
Answers
Answer:
45 minutes
Step-by-step explanation:
I f m<4=30 degrees, find m<3
Answers
m<3=60°
Answer:
m<4+m<3=90° each angle of rectangle is 90°
m<3=90-30=60°
=3+(__+30)
=3+__)+30
__+30
=
Answers
Well the answer is complicated but here I go...
3+ 30 + 3 + 30 + 30 = 96?
Andrea uses 9.2 pints of white paint and blue paint to paint her bedroom walls. 3/5 of this
amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to
paint her bedroom walls? 1)
Answers
Answer:
You'd need 2/5 of 9.2 pints of blue paint
2/5 * 9.2 = .4 * 9.2 = 3.68 pints of blue paint
Step-by-step explanation:
On a map, 0.5 inches represents 30 miles. If it is 2.5 inches from point A to point B on the map, what is
the actual distance in miles?
Answers
If you have 2.5 inches that is 5 times 0.5inches
Then 5 times 30 miles is 150miles
Mila owns a small business selling used books. She knows that in the last week 83 customers paid cash, 16 customers used a debit card, and 41 customers used a credit card. Based on these results, express the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth
Answers
Answer:
the answer is 0.71
Step-by-step explanation:
it told me
The probability the next customer will pay with something other than a credit card is 0.71.
What is probability?Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
Number of customers paid cash = 83
Number of customers used a debit card = 16
Number of customers used a credit card = 41
Total number of customers = 140
The probability that the next customer will pay with something other than a credit card is
P(e) = (Number of customers paid cash + Number of customers used a debit card) / Total number of customers.
⇒ [tex]P(e)=\frac{83+16}{140}[/tex]
⇒ [tex]P(e)=\frac{99}{140}[/tex]
⇒ [tex]P(e)=0.7071[/tex] ≈ [tex]0.71[/tex]
Hence we can conclude that the probability the next customer will pay with something other than a credit card is 0.71.
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what is 31=xy+15? for segment addition
Answers
Answer:
x = 16/y
or
y =16/x
Step-by-step explanation:
31=xy+15
subtract 15 from both sides of the equation:
xy = 16
x = 16/y
or
y =16/x
The box and whisker plots represent the number of minutes spent by users on two different social media groups. Which THREE statements are correct when comparing the plots?
A) The median time for users of Group B is 40 minutes.
B) Group B has greater median value than Group A.
C) The data for Group B varies slightly more than Group A.
D) The spread of the data for Group A is 25 minutes.
E) The spread of the data for Group A is 40 minutes.
Answers
Answer: I feel the answer is C
Step-by-step explanation:
The three statements that are correct when comparing the box and whisker plots for the two groups are: A, C, and D.
What is a box and Whisker plot?A box and whisker plot displays the minimum value, lower quartile (Q1), median, upper quartile (Q3), and maximum values of a data set.
Let's analyze each of the given statements given the box and whisker plots for both groups:
Statement A is TRUE:
Median time for Group B = 40.
Statement B is FALSE:
Median value for Group A is between 45 and 50
Median value for Group A is 40.
Therefore, Group B does NOT have median value greater than Group A.
Statement C is TRUE:
The interquartile range (IQR) for Group A and Group are similar, therefore, data for Group B varies slightly more than Group A.
Statement D is TRUE while E is FALSE:
Spread for Group A (IQR) = 55 - 30 = 25 minutes
Therefore, the three statements that are correct when comparing the box and whisker plots for the two groups are: A, C, and D.
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what is the value of x? tangent lines acellus
Answers
Answer:
30°
Step-by-step explanation:
the three interior angles of a triangle add up to 180, so 60° + 90°+ 30° just works. Sorry it's such a bad explanation, but the answer works . I have acellus too and I entered the answer before answering your question.
CAN SOMEONE PLEASE HELP ME WITH THIS??
Answers
Answer:
6^5 * a^3 * b ^2
Step-by-step explanation:
6 occurs 5 times in this equation
so it would be 6^5 (6 to the 5th)
a occurs 3 times in this equation
so it would be a^3 (a to the 3rd)
b occurs 2 times in this equation
so it would be b^2 (b to the 2nd)
Answer:
6*4
b*2
a*3
Step-by-step explanation:
hello please help i’ll give brainliest
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 1/2
Explanation:
1/4 - (-1/4) = 1/4 + 1/4 = 1/2
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
you planted sunflower seeds in your backyard and everyday the number of flowers doubles if it takes 42 days for the flowers to fill the garden how many days would it take for them to fill half of the garden
Plz HELPPP]PPPPPPPPPPPPPPPP
Answers
Answer:
41
Step-by-step explanation:
can someone help me please
Answers
Answer:
a) 2/3 fraction is shaded.
b) 66.67% is shaded.
On Tuesday 194 first graders, 225 second graders, and 187 third graders bought lunch. What is the best estimate of the number of students who bought lunch? O A. 650 B. 600 O C. 550 D. 500 E. 400
Answers
Answer:
a or b but more b lol
Step-by-step explanation:
Answer:
i would say the answer is b.
Step-by-step explanation:
Si el lunes es el marte del miercoles y el jueves es el viernes del sabado, ¿que dia sera el domingo del lunes?
Answers
Translated : If Monday is Wednesday's Tuesday and Thursday is Saturday's Friday, what day will Monday be Sunday?
Anwser: Sunday will be monday
Is 14 x 172 greater than or less than 14? How do you know?
Please help with explaining
Answers
Answer:
14<14*1.5
Step-by-step explanation:
This is because 14*1.5 is 21. 21 is greater than 14. I hope this helped you out!!
Discriminant 9v^2+v+5=0
Answers
Answer:
-179, since it is negative then there are no real roots
Step-by-step explanation:
b²-4ac is the discriminant formula
9v² + v + 5 = 0 ∴ a = 9, b = 1, c = 5
1² - 4(9)(5) = -179
What is the measure of ∠ZXW in the diagram below?
Answers
Answer:
I tuhnk it's C which is 117
Step-by-step explanation:
I got 117 by 85 degrees adding 32 degrees which I got 117 degrees.
I'LL GIVE BRAINLIEST PLEASE ANSWER ALL FOUR PLEASE
Answers
Answer:
Step-by-step explanation:
1.) 700*0.42 = 294. Out of the 700 people at the concert, 294 are tennagers.
2.) 1.07*$450 = $481.50, including sales tax (final price)
3.) 120/(100%-85%) = 120/0.15 = 800. Original amount of water is 800 ml (Check by 800mL*0.15, which equals 120 mL)
4.) 100-35-45 = 20%
250*20% = 50; Out of the 250 sandwiches, Josh made 50 ham sandwiches.