Anyone with the answers to unit 1 Geometry basics homework 5 angle relationships
Answers
Answer:
Step-by-step explanation:
1) x + 65 = 90
x = 90 -65
x = 25
2) x + 51 = 180 {Linear Pair}
x = 180 - 51
x = 129
3) y = 107 {Vertically opposite angles are equal}
x + 107 = 180 {linear pair}
x = 180 - 107
x = 73
z = x {Vertically opposite angles are equal}
z = 73
4) If sum of two angles is 180,, then they are called supplementary.
one angle = 13
It's supplement = 180 - 13
= 167
5) If sum of two angles is 90, then they are called complementary.
one angle = 38
It's complement = 90 - 38
= 52
6) ∠1 + ∠2 = 180
5x + 9 + 3x +11 = 180 {Combine like terms}
8x + 20 = 180
8x = 180 -20
8x = 160
x= 160/8
x = 20
∠1 = 5x + 9
= 5*20 +9
= 100+9
= 109
∠2 = 3x +11
= 3*20 +11
= 60 +11
= 71
7) Vertically opposite angles are equal
∠2 = ∠2 1
20x - 14 = 17x + 1
20x - 17x -14 = 1
3x - 14 = 1
3x =1 +14
3x = 15
x = 15/3
x = 5
∠2 = 20x - 14
= 20*5 - 14
= 100 - 14
= 86
8) ∠K + ∠L = 90
3x +3 + 10x - 4 = 90 {Combine like terms}
13x -1 = 90
13x = 90 + 1
x = 91/13
x = 7
∠K = 3x + 3
= 3*7 + 3
= 21 +3
= 24
∠L = 10x - 4
= 10*7 -4
= 70 - 4
= 66
Related Questions
which equations have exactly one y-value for any given x-value? select all that apply
A.y=-x
B.x=4
C.y=x^2
D.y=x^3
Answers
Answer:x=4
Step-by-step explanation:
The equations y = -x,y = x², and y = x³ have one y-values for a given x-value thus options (A) ,(C) and (D) will be correct.
What is the equation?There are many different ways to define an equation.
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
In another word, the equation must be constrained with some constraints.
In the first option y = -x
The value of y will be negative of x thus it will be single for every single x.
In the third option x = x² here for every x there will be a single y thus it will be single for every single x.
In option fourth option y = x³ here for x, y will be one thus it will be single for every single x.
In option (B) x = 4 here y is changing for x = 4 thus here y will not be one.
Hence "The equations y = -x,y = x², and y = x³ have one y-values for a given x-value".
For more about the equation,
brainly.com/question/10413253
#SPJ5
Nicole wants to buy a charm bracelet. Summerfield Fine Jewelry charges $26 per charm, plus $19 for the bracelet. Flynn Jewelers, in contrast, charges $27 per charm and $11 for the bracelet. If Nicole wants to add a certain number of charms to her bracelet, the cost will be the same at either jewelry shop. How many charms would that be? What would the total cost of the bracelet be?
Answers
Answer:
There are 8 number of charms
Total cost = $227
Step-by-step explanation:
Let
Number of charms = c
Summerfield Fine Jewelry charges $26 per charm, plus $19 for the bracelet.
26c + 19
Flynn Jewelers charges $27 per charm and $11 for the bracelet
27c + 11
How many charms would that be ?
Equate the cost at both jewelry shop
26c + 19 = 27c + 11
Collect like terms
26c - 27c = 11 - 19
-c = - 8
c = 8
There are 8 number of charms
What would the total cost of the bracelet be?
Using any of the jewelry shop cost
Flynn Jewelers cost
= 27c + 11
= 27(8) + 11
= 216 + 11
= 227
Total cost = $227
Find x
8(x-27)+49=87+28x
Answers
Answer:
x = -12.7
Step-by-step explanation:
[tex]8(x-27)+49=87+28x\\\\8x-167=87+28x\\\\8x-167+167=87+28x+167\\\\8x=28x+254\\\\8x-28x=28x-28x+254\\\\-20x=254\\\\\frac{-20x=254}{-20}\\\\ \boxed{x=-12.7}[/tex]
Hope this helps.
Answer:
x=-127/10 or x= -12.7
Step-by-step explanation:
8(x−27)+49=87+28x
Step 1: Simplify both sides of the equation.
8(x−27)+49=87+28x
(8)(x)+(8)(−27)+49=87+28x(Distribute)
8x+−216+49=87+28x
(8x)+(−216+49)=28x+87(Combine Like Terms)
8x+−167=28x+87
8x−167=28x+87
Step 2: Subtract 28x from both sides.
8x−167−28x=28x+87−28x
−20x−167=87
Step 3: Add 167 to both sides.
−20x−167+167=87+167
−20x=254
Step 4: Divide both sides by -20.
−20x/−20
=
254/−20
x=
−127/10
whats the answer to number 4?
please and thank you
Answers
Answer:
90+55+x
145+x=180*
=35
explanation: the sum of all the interior angles in a triangle will always equal 180°. in this triangle we have a right angle which is equal to 90°, a 55° angle, and x°. To find out x you would do 90 + 55 = 145. once you get that you would then do 180 - 145 = 35. So, X = 35°
Name the longest and shortest side in the triangle.
Answers
Answer:
the answer is C Because the lm is the long side and mn is the short side
When you solve |2x+6|=4x it has one extraneous solution at x=-1
true or false
Answers
how would you write 8.235 E14 in standard form
Answers
Answer:
what????
Step-by-step explanation:
Which equation below shows a correct first step for solving 3x = -12
A 3x+ 3 = -12 + 3
B 3x- 3 = -12 - 3
C 3(3x) = 3(-12)
D 3x/3=-12/3
Answers
Pythagorean Therom.What is the length of segment AB?
Answers
Answer:
A square + B square = C square
Step-by-step explanation:
SOMEONE PLS HELP ME PLEASE I BEG U AND SHOW WHY PLS I BEG
Answers
Answer:
The answer is less than one
Step-by-step explanation:
Because 1/2= less than 3
1 1/2= 3 and is less than 9
2 1/2= 5 not 15
Determine the slope
(4,12) and (6,20)
Answers
Answer:
4
Step-by-step explanation:
Solve for the value of q.
134°
(9q-8)
Answers
Answer:
If you mean that 134 degrees = (9q - 8), the answer is: q = 15.78 degrees
Step-by-step explanation:
134 degrees = 9q - 8
142 = 9q
142/9 = q
15.78 = q
q = 15.78 degrees
the sum of three consecutive odd integers is 57. what are the three integers
Answers
Answer:
17,19,21
Step-by-step explanation:
let the first odd number be "x"
formular : (x)+(x+2)+(x+4).
3x+6=57
3x=57-6
3x=51
x=51/3
x=17
apply the formular.
17,(17+2),(17+4)
17,19,21.
answer to all these in order please !
Answers
Answer:
?? 6363
Step-by-step explanation:
Anagha's mother bought an equal number of ladoos and pedas. She put 13 of the ladoos and 15 of the pedas into a packet and gave it to Anagha to distribute at school. If there were a total of 80 sweets in the packet, how many ladoos did Anagha's mother buy?
Answers
Answer:
150
Step-by-step explanation:
Anagha's mother bought an equal number of ladoos and pedas. Let there are x number of ladoos and pedas.
She puts x/3 of the ladoos and x/5 of the pedas into a packet and gave it to Anagha to distribute at school.
Total no of sweets in the packet = 80
[tex]\dfrac{x}{3}+\dfrac{x}{5}=80\\\\\dfrac{5x+3x}{15}=80\\\\\dfrac{8x}{15}=80\\\\x=\dfrac{80\times 15}{8}\\\\x=150[/tex]
So, there are 150 ladoos brought by Anagha's mother.
22. Part-Time Job
You work at a grocery store part-time. You estimate that you spend three-fifths of your time stocking shelves. You work 20 hours each week. How many hours of your work week do you spend stocking shelves?
Answers
Answer: 12
Step-by-step explanation:
You spend 20 hours working at a grocery store each week. You spend 3/5 of that time stocking shelves. You need to find out what 3/5 of 20 is.
Step 1: Turn 20 into a fraction
20 = 20/1
Step 2: Multiply
3/5 x 20/1 = 60/5
Step 3: Simplify
60/5 = 12
The Martinez family is traveling to a play in Richmond. A round trip train ticket costs $8.00. Children under the age of 7 travel for half price. ($4.00) Tickets for the play are $14.00 for an adult and $6.00 for a child. Mr. And Mrs. Martinez will go with their children, Ricky, Ramona, and Thomas. Ricky and Ramona are 12 years old. Thomas is 6 years old. How much did the Martinez family spend for the train ride and play tickets?
Answers
Answer: The Martinex family spent $ 82 for train ride and play tickets.
Step-by-step explanation:
Round trip train cost = $ 8.00
For children it cost $ 4.00.
For adult, ticket for play costs= $ 14.00
For children , ticket for play costs= $ 6.00
Mr. And Mrs. Martinez will go with their children, Ricky, Ramona, and Thomas.
2 adults and 3 children ( only one of them is under 7.)
For train we consider only 1 as child rest as adult.
Train cost = 4 x($ 8.00)+ 1 x ($ 4.00)
= $ 32+4 = $36
For play , total cost = 2 x ( $ 14.00) + 3 x ($6)
= $(28+18)
= $ 46
Total spending ( combined) = $36+$ 46
= $82
So, the Martinex family spent $ 82 for train ride and play tickets.
por favor ayúdeme!!
Answers
Answer:
CHEEEEEEEEESE
Step-by-step explanation:
PLEASE HURRY. An electrician charges $45 per hour plus a fixed charge of $30 which of these equations could be used to determine C, the cost an electrician charges for h hours of work?
Answers
$45 per hour plus a fixed change of $30
What is 10/3(fraction) times 6/5(fraction)
Answers
Answer:
4
Step-by-step explanation:
When multiplying those fractions, you multiply the top (numerators) by each other and you'll get 60
Then when you divide the denominators you'll get 15.
60 divided by 15 is 4.
10/3 x 6/5 = 4
Step-by-step explanation:
You multiply the numerators together, same with the denominator. You get 60/15. You divide those numbers so you get 4 as your answer. Hope this helps!
The leg of a right triangle is 3 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle?
Square root of 5
Square root of 7
5
7
Answers
Answer:
7
Step-by-step explanation:
let the other leg be x
Then using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 3² = 4²
x² + 9 = 16 ( subtract 9 from both sides )
x² = 7 ( take the square root of both sides )
x = 7
Answer:
7
Step-by-step explanation:
let the other leg be x
Then using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 3² = 4²
x² + 9 = 16 ( subtract 9 from both sides )
x² = 7 ( take the square root of both sides )
x = 7
a large study used records from canada's national health care system to compare the effectiveness of two ways to treat prostate disease. The two treatments are traditional surgery and a new method that does not require surgery. The records described many patients whose doctors had chosen each method. The study found that patients treated by the new method were significantly more likely to die within 8 years. You have 300 prostate patients who are willing to serve as subjects in an experiment to compare the two methods. Describe a completely randomized design for this experiment. Write a few sentences describing how you would implement your design.
Answers
Answer:
To order to obtain the outcome, researchers should provide the health outcomes of every other process. Below however is the clarification given.
Step-by-step explanation:
Researchers are gathering medical reports from 200 surgeons as well as 200 non-surgeons who use surgical care. For such individuals, the researchers report ten-decade health outcomes as well as to measure which group lasts longer.These are ended up finding, as stated in the above research article, that patients treated by either a particular technique are more likely to suffer in less than 8 years.
1. Find the equation of the circle that has a line segment with end points (18,-13) and (4,-3) as the circle diameter. The equation takes the form (x - h)2 + (y - k)2 = 2. Where h is the x coordinate, k is the y coordinate of the center and r is the radius of the circle. h = k =
Answers
Answer:
(x - 11)² + (y + 8)² = 74Step-by-step explanation:
The equation takes the form (x - h)² + (y - k)² = r², where h is the x coordinate, k is the y coordinate of the center and r is the radius of the circle.
The center of circle is the middle of diameter.
The radius is the distance between the center and any point from the circumference of a circle.
The middle of diameter:
[tex]\left(\frac{18+4}2\,;\,\frac{-13-3}2\right)=\left(\frac{22}2\,;\,\frac{-16}2\right)= \left(11\,;-8\right)[/tex] ⇒ h = 11, k = -8
The distance between the center and point (4,-3)
[tex]r=\sqrt{(11-4)^2+(-8-(-3))^2}=\sqrt{7^2+(-5)^2}=\sqrt{49+25}=\sqrt{74}[/tex]
so the equation:
(x - 11)² + (y - (-8))² = (√74)²
(x - 11)² + (y + 8)² = 74
Find the percent increase or decrease from Monday to Tuesday.
Miles Jan walked Monday: 12
Miles Jan walked Tuesday: 3
Answers
Answer:
multiply 12 and 3 and your answer should b36.
Step-by-step explanation:
is this carret
What is 20 mulitpyed by 50
Answers
it is 1000 because 2 x 5 =10 then just add the extra 2 0s from 20 and 50
Answer:
1,000
Step-by-step explanation:
When playing a track on the outer edge, a CD rotates 300 times per
minute. Through how many degrees does it rotate in one second?
Answers
Answer:
I think it's 1800 Degress
Step-by-step explanation:
If the CD rotates 300 times per minute, we know that equals 300 rotations/60 seconds
That ends up being 5 rotations per second.
Since we know that a full rotation is 360 degrees, then it should equal 1800 degrees.
Hope that helps, let me know if this does or not.
A shipping company sells a rectangular box with dimensions of 12
inches by 12 inches by 18 inches. Find the length of the longest
diagonal in the box.
24.7.
24.8
O 288
0 612
Answers
Answer:
24.7 inches
Step-by-step explanation:
Length = 18 inches
Width = 12 inches
Height = 12 inches
Length of the longest diagonal,d = length^2 + width^2 + height^2
d^2 = 18^2 + 12^2 + 12^2
d^2 = 324 + 144 + 144
d^2 = 612
d = √612
= 24.7 of inches
Length of the longest diagonal in the box = 24.7 inches
If the temperature is 95 degree F,what is the temperatur in Celsius
Answers
Answer:
35 degree celcuis
Step-by-step explanation:
what is the value of (-2)^6 ?
Answers
Answer:
64
Step-by-step explanation:
Answer:
-64 would be the answer
Which of the following results in the expression 0.43 x 52?
52% of 0.42
43 of 52%
0.52 of 43%
43% of 52
Answers
A
Step-by-step explanation:
because when you find a percentage out of something you multiply them together and then divide by 100.
Answer:
43 of 52
Step-by-step explanation:
it was right when i did the quiz this is the right one believe me