Answer:
congruent, alternate exterior
Step-by-step explanation:
For the first question, the angles are congruent (they are not complementary because they dont add p to 90 degrees, and they are not supplementary because they dont add up to 180 degrees so they must be congrunet)
For the second- they are alternate exterior (i know that they are on the outisde so they are exterior)
At the arcade, Sami won 2 blue tickets, 1 yellow ticket, and 3 red tickets for 1500 total points. Jamie won 1 blue ticket, 2 yellow tickets, and 2 red tickets for 1225 total points. Yvonne won 2 blue tickets, 3 yellow tickets, and 1 red ticket for 1200 total points. Write a system of equations to represent this situation. Let b = point value of blue tickets; y = point value of yellow tickets; r = point value of red tickets Create a matrix for your system.
Answer:
[tex]\left[\begin{array}{ccc}2&1&3\\1&2&2\\2&3&1\end{array}\right][/tex] [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex] [tex]= \left[\begin{array}{c}1500&1225&1200\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]b = blue[/tex]
[tex]y = yellow[/tex]
[tex]r = red[/tex]
Required
Represent as a matrix
For Sammy:
[tex]2\ blue + 1\ yellow + 3\ red =1500[/tex]
So, we have:
[tex]2b + 1y + 3r = 1500[/tex]
[tex]2b + y + 3r = 1500[/tex]
For Jamie:
[tex]1\ blue + 2\ yellow + 2\ red =1225[/tex]
So, we have:
[tex]1b + 2y + 2r = 1225[/tex]
[tex]b + 2y + 2r = 1225[/tex]
For Yvonne:
[tex]2\ blue + 3\ yellow + 1\ red =1200[/tex]
So, we have:
[tex]2b + 3y + 1r = 1200[/tex]
[tex]2b + 3y + r = 1200[/tex]
The system of equations are:
[tex]2b + y + 3r = 1500[/tex]
[tex]b + 2y + 2r = 1225[/tex]
[tex]2b + 3y + r = 1200[/tex]
To represent as a matrix, we have:
[tex]\left[\begin{array}{ccc}b_1&y_1&r_1\\b_2&y_2&r_2\\b_3&y_3&r_3\end{array}\right][/tex] [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex] [tex]= \left[\begin{array}{c}Total_1&Total_2&Total_3\end{array}\right][/tex]
This gives:
[tex]\left[\begin{array}{ccc}2&1&3\\1&2&2\\2&3&1\end{array}\right][/tex] [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex] [tex]= \left[\begin{array}{c}1500&1225&1200\end{array}\right][/tex]
A rectangle has a length of x + 5 and a
width of 2x-9. Using the formula for the
perimeter of a rectangle, P = 2L + 2W, write
an expression to represent the perimeter of
the rectangle in simplest form.
Answer:
The end equation you get is p = 6x - 8
Step-by-step explanation:
p = 2l + 2w
p = 2(x + 5) + 2(2x - 9)
p = 2x + 10 + 4x - 18
p = 6x - 8
An expression to represent the perimeter of the rectangle in simplest form is 2(3x-4) meters.
Given that, a rectangle has a length of x + 5 and a width of 2x-9.
What is perimeter of a rectangle?The perimeter of a two-dimensional shape is the total length of the outline. To find the perimeter of a rectangle, we add the lengths of all four sides.
The formula for the perimeter of a rectangle is, P = 2L + 2W,
Now, substitute L=x+5 and W=2x-9 in perimeter formula and simplify,
P=2(x+5)+2(2x-9)
=2x+10+4x-18
=6x-8
=2(3x-4)
Therefore, an expression to represent the perimeter of the rectangle in simplest form is 2(3x-4) meters.
To learn more about the perimeter of a rectangle visit:
https://brainly.com/question/15287805.
#SPJ2
A repeating decimal + A fraction
Answer:
3.33333333333+1/3=3.6666666666666666
Answer:
yup you're correct, nice job
!!!!!!!!!!!!!!!! x= and y=
Answer:
Y=16
X=32
Step-by-step explanation:
ï just know you need to do more meth
Find the missing lengths.
I need help someone
Answer:
Option A
Step-by-step explanation:
From the triangle given in the picture,
By applying sine rule,
sin(60)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{a}{7}[/tex]
a = [tex]\frac{7\sqrt{3} }{2}[/tex]
Similarly, by cosine rule,
cos(60)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{2}= \frac{b}{7}[/tex]
b = [tex]\frac{7}{2}[/tex]
Therefore, Option A will be the correct option.
HELP PLEASE
Which equation can you use to find the value of x?
Answer:
3x=78+x-2
Step-by-step explanation:
Answer: 3x = 78 + x - 2
Step-by-step explanation:
There were 96 students and 34 adults at the concert. If 65% of the seats were filled, how many seats are in the auditoriom? Round your answer to the nearest whole percent
Answer: 200 seats
Step-by-step explanation:
There are 96 students and 34 adults in a concert. The total number of people present is therefore:
= 96 + 34
= 130 people
These 130 people only fill 65% of the seats. Assume the total number of seats is x:
130 = 65% * x
x = 130/65%
x = 200 seats
Solve:
1/3(2x-6/5)=4/9(x+1/3)
[tex] \frac{1}{3} .( \frac{2x - 6}{5} ) = \frac{4}{9} .( \frac{x + 1}{3} )[/tex]
[tex] \frac{2x - 6}{15} = \frac{4x + 4}{27} [/tex]
[tex]54x - 162 = 60x + 60[/tex]
[tex] - 222 = 6x[/tex]
[tex]x = - 37[/tex]
I guess it's right.We learnt this way in Turkey.
3x + 2 ( 4x + 7) "terms"
help pleas
Solve: -10x + 10 + 12x +21= -6
А
25
X=
2
25
B
X=-
2
37
X=
2
D
X=
37
2
Please help me its due in 30 mins
Answer:
-11 im pretty sure
Step-by-step explanation:
A computer normally costs
$650, but it is on sale for
15% off. What is the sale
price of the computer?
Answer:
$552.50
Step-by-step explanation:
650×.15=97.5
650-97.5=552.5
i need this quick!!
What are the constants in the equation 3x+2=9
a - 3
b - x
c - 2 and 9, constants have a fixed value
d - none of the above
Answer:
Option C i.e. 2 and 9, constants have a fixed value is a correct option.
Step-by-step explanation:
In algebra, a constant is basically a fixed value.
Sometimes, a constant is a number for a letter such as a, b, or c for a fixed number.
For example: in ''2x+7=3'', 7 and 3 are constants.
Please note that the number with variable x in the term is a coefficient.In our case:
Given the equation
[tex]3x+2=9[/tex]
Therefore, 2 and 9 are constants, having a fixed value.
Thus, option C i.e. 2 and 9, constants have a fixed value is a correct option.
Which of the following will not translate as a mathematical
question three times a number equals fifteen.
two less than a number is equal to twelve.
Six Plus the number is seven.
A number divided by eight, Plus four.
PLEASE HELP ME FAST
Answer:
a number divided by eight, plus four
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 2 cos 3θ
Write down the first five prime numbers.
The answer is 2, 3, 5, 7, 11.
Answer:
The answer is 2, 3, 5, 7, 11.
Step-by-step explanation:
4.An online music service charges a $12.00
registration fee plus $1.50 for each song
downloaded. If Mary Beth has a gift card with
$60.00, then how many songs can she
download?
e pay for
Answer:
60 - 12 = 48
48/1.5= 32
32 songs
You plan to meet a friend at a local bowling alley on Sunday afternoon. Prior to bowling, you must pay an initial fee of $6.00 to rent shoes and will then pay $4.00 per game you play. Which equation (written in slope-intercept form) best models this scenario? Let y represent your total cost and x represent the number of games you play. Group of answer choices y = 4x + 6 y = 2x + 6 y = 6x + 4 y = 4x
Answer:
[tex]y = 4x + 6[/tex]
Step-by-step explanation:
Given
[tex]Initial\ Fee = \$6.00[/tex]
[tex]Rate = \$4.00[/tex]
Required
Derive the linear equation
Let the number of games be x.
Let the total cost be y
So, if the rate of 1 game is $4
Then x games costs 4x
The total cost (y) is then calculated as:
y = Initial Fee + Cost of x games
Substitute values for initial fee and cost of x games
[tex]y = 6 + 4x[/tex]
Rewrite as:
[tex]y = 4x + 6[/tex]
3. The floor of building consists of 2000 tiles which are rhombus shaped and
each of its diagonals are 40 cm and 25 cm in length. Find the total cost of
polishing the floor, if the cost per m2 is Rs/5.
Answer:
Total cost of polishing the floor is Rs/500.
Step-by-step explanation:
The floor consists of 2000 tiles which have the shape of a rhombus.
Area of rhombus = [tex]\frac{d_{1} *d_{2} }{2}[/tex]
Where: [tex]d_{1}[/tex] and [tex]d_{2}[/tex] are the diagonals.
Given that:
[tex]d_{1}[/tex] = 40 cm = 0.4 m
[tex]d_{2}[/tex] = 25 cm = 0.25 m
Then,
Area of each tile = [tex]\frac{0.4*0.25}{2}[/tex]
= [tex]\frac{0.1}{2}[/tex]
= 0.05 [tex]m^{2}[/tex]
Area of each tile is 0.05 [tex]m^{2}[/tex].
Since there are 2000 tiles on the floor of the building, then;
Total area covered by the tiles = 0.05 x 2000
= 100 [tex]m^{2}[/tex]
The total cost of polishing the floor = 100 x Rs/5
= Rs/500
Tanisha baked an apple pie. She ate 1/6 of the pie. Her sister ate 1/4 of it. Tanisha gave her mother the rest of the pie. What fraction of the pie did Tanish give her mother?
My boys got me I’m giving brainliest
Answer:
B
Step-by-step explanation:
FIRST ANSWER GETS BRAINLIEST!!!
Alistair Inc. shipped 32 packs of batteries to a retail store. Regular packs contain four batteries each, and super packs contain six batteries. A total of 166 batteries were shipped. How many regular packs were sent?
Answer:
Number of regular packs sent = 13
Step-by-step explanation:
Let,
x be the number of regular packs shipped
y be the number of super packs shipped
According to given statement;
x+y=32 Eqn 1
4x+6y=166 Eqn 2
Multiplying Eqn 1 by 4
4(x+y=32)
4x+4y=128 Eqn 3
Subtracting Eqn 3 from Eqn 2
(4x+6y)-(4x+4y)=166-128
4x+6y-4x-4y=38
2y=38
Dividing both sides by 2
[tex]\frac{2y}{2}=\frac{38}{2}\\y=19[/tex]
Putting y=19 in Eqn 1
x+19=32
x=32-19
x= 13
Hence,
Number of regular packs sent = 13
At Harrison Middle School 0.96 of the student population was in attendance last Friday
Write 0.96 as a percent and as a fraction (in simplest form).
Please explain:))
A ski jacket has a price of $182.50. The sales tax rate is 7.2%. What is the sales tax for the jacket in dollars and cents?
Answer:
Sale Tax: $13.14
After-Tax Price: $195.64
Step-by-step explanation:
2x + 3 +2x +3 hhhhhhh
A linear function has an x-intercept of 12 and a slope of StartFraction 3 Over 8 EndFraction. How does this function compare to the linear function that is represented by the table?
Answer:
hiii yall hi have a good day
Step-by-step explanation:
god bless you all and the answer is ........2 (sry I'm not sure)
Answer:
.
Step-by-step explanation:
p
I REALLY NEED HELP ON THIS!!! The graph below shows the amount of snowfall recorded in New York during that time. Write an equation to represent the relationship between amount of snow accumulated and time.
Answer:
Y=.5x
Step-by-step explanation:
For every hour you gain half an inch of snow so for every 2 hours you gain one inch of snow. Hope ths helps
Find the radius of a cylinder with a volume of 200 in and a height 5 in.
Answer:
r≈3.57in
Step-by-step explanation:
What is the domain of h?h(x)=4/x-5
Answer:
(−∞, 5) ∪ (5, ∞)
Step-by-step explanation:
I really hope it helps!
Good Luck!
I need help please please
Answer:
60%
Step-by-step explanation: