Answers
Answer:
y = 38
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Consider the angles in the large outer triangle, then
x + 46 + 78 = 180
x + 124 = 180 ( subtract 124 from both sides )
x = 56
Consider the 3 angles in the smaller inner triangle, then
y + x + 86 = 180 , that is
y + 56 + 86 = 180
y + 142 = 180 ( subtract 142 from both sides )
y = 38
Related Questions
The midpoint of AB is M(6, 3) . If the coordinates of A are (7, 4) , what are the coordinates of B?
Answers
Answer:
5,2
Step-by-step explanation:
the difference between a and m is 1,1 so 1,1 subtracted from the mid point(M) would be 5,2
What is the solution to the system of equations?
Solve using the substitution method.
-5x – y=6
-8x + y = 20
A) (-2,4)
B) (1, -2)
D) (2, 1)
C) (1,2)
Answers
Answer:
-8x+y=20
y=20+8x
-5x-y=6
-5x-(20+8x)=6
-5x-20-8x=6
-13x=6+20
-13x=26
-13x÷ -13=26÷ -13
x= -2
-8x+y=20
-8×(-2)+y=20
16+y=20
y=20-16
y=4
A) (-2,4)
Laura makes $9 per hour working at Starbucks. She can also expect to make an additional $3 in tips for one day. It
costs Laura $48 to fill up her car with gas. What is the minimum number of hours she needs to work in a day to
make $48?
Answers
Answer:
5 Hours
9×5 = 45
plus the $3 tip is 48.
hope this helped:))
Laura needs to work 5 hour in a day to make $48.
What is Unitary Method?'The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.'
According to the given problem,
Amount Laura makes per hour = $9
Amount Laura receives as tip = $3
Amount Laura needs to fill up her car with gas = $48
Since, 45 is the closest multiple of 9 to 48,
Let, the number of hours Laura has to work be x,
⇒ 9x = 45
⇒ x = 45/9
⇒ x = 5
Since, she will receive an additional tip of $3,
= $( 45 + 3 )
= $48
Hence, we can conclude, Laura has to work a minimum of 5 hours to make $48.
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The regular price of a grill is $599.99 if there is a 20% discount and the sales tax is 6%, what is the final price of a grill
Answers
Answer:
$508.79 .............................................................
Find the perimeter of the shape in the image
A) 8cm
B) 12cm
C) 16cm
D) 20cm
Answers
Answer:
C. 16 cm
Step-by-step explanation:
Top side: 2 + 4 = 6
Right side: 1 + 1 = 2
Bottom: 2 + 4 = 6
Left side: 1 + 1 = 2
6+6+2+2 = 16 cm.
What is the measure of arc WYZ?
------------
hint: find the measure of arc WYZ
------------
231
255
200
168
Answers
Step-by-step explanation:
We have a diameter and vertical angles so
231.
180+51=231
Answer:
231
Step-by-step explanation:
The measure of arc WX is 51
XZ is a straight angle so its arc measures 180 degrees
The measure of arc WYZ
WYZ= WX + XZ
= 51 + 180
231
Write the equation of the line which contains all images of point C.
(12.1)
С
(8,0)
B
2
10
12
(a,b)
(Α)
2
B
y = 4.3 – 2
C
y = 4.2
4.
Answers
Answer:
A
Step-by-step explanation:
y = 1/4 × x - 2
x=8 => y=0. correct for B
x=12 => y= 1. correct for C
all other answer options fail for these 2 points.
two pirate ships leave the same port at the same time. The first ship travels due North at a constant speed while the second ship travels due East at a constant speed. After one hour, the ships are 25 miles apart. The ship traveling North is 5 mph faster than the ship traveling East. Find the speed of each ship in miles per hour.
Answers
Step-by-step explanation:
the speed of the first ship is 20 mph
and the second ship is 15 mph
The speed of the ship that travelled North is 20 miles per hour and that of the ship that travelled East is 15 miles per hour.
Constant Speed:
'When the speed of an object remains the same - it does not increase or decrease - we say it is moving at a constant speed.'
According to the given problem,
Let the pirate ship that travelled north be A and the other ship that travelled east be B.
Since ship A went North which is upwards and ship B went east which is towards the right,
We can construct a right angled triangle with the perpendicular being the distance travelled by ship A and the base being the distance travelled by ship B.
It is given that after travelling for one hour, the ships are 25 miles apart.
Therefore we can consider the hypotenuse of the triangle to be 25 miles.
Now applying pythagoras theorem,
Hypotenuse² = Perpendicular² + Base²
⇒ 25² = x² + ( x + 5 )²
⇒ 625 = x² + x² + 10x + 25
⇒ 2x² + 10x + 25 - 625 = 0
⇒ 2x² + 10x - 600 = 0
⇒ x² + 5x - 300 = 0
⇒ x² + 20x - 15x - 300 = 0
⇒ x( x + 20 ) - 15( x + 20) = 0
⇒ ( x + 20 )( x - 15 ) = 0
⇒ x = 15 , -20
Since, distance cannot be negative,
x = 15
Therefore Distance travelled by ship A = ( 15 + 5 ) miles
= 20 miles
Time taken = 1 hour
Speed of ship A = [tex]\frac{Distance}{Time}[/tex]
= [tex]\frac{20}{1}[/tex] miles per hour
Distance travelled by ship B = 15 miles
Speed of ship B = [tex]\frac{15}{1}[/tex] miles per hour
Hence, after solving the problem, we can conclude that the speed of the ship travelling north is 20 miles per hour and the ship travelling east is 15 miles per hour.
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factorise x — 5x - 6
Answers
Step-by-step explanation:
x-5x-6=0
x-5x=6+0
4x=6
x=6
4
x=3
2
this may help youUse three-unit multipliers to convert 97 cubic feet to cubic inches
Answers
3 point
The population of a small town over four years is recorded in the chart
below, where 2013 is represented by x= 0. The population, P(x), for these
years can be modeled by the function P(x) =aby, where bis rounded to the
nearest thousandth. Whkh statements about the function are true?
Answers
Answer:
1) I and III
Step-by-step explanation:
The equation of an exponential function is given by:
y = abˣ
where x is an independent variable, y is a dependent variable, a is the initial value of y (that is value of y at x = 0), b is greater than 1 for an exponential growth while b < 1 for an exponential decay.
Given that x represent years and P(x) represent population. 2013 is represented by x= 0, hence:
At the year 2013 (x = 0), the population is 3810, hence a = 3810.
The equation becomes:
P(x) = 3810(b)ˣ
At 2014 (x = 1), the population is 3943. Hence:
3943 = 3810(b)¹
3810b = 3943
b = 1.035.
Therefore a = 3810, b = 1.035. The correct option is 1) I and III
Since b > 1, this is an exponential growth.
See the attachment, mathematics question!!
Answers
Answer:
option A
Step-by-step explanation:
help finding the area
Answers
Answer:
144.5 or 144 1/2
Step-by-step explanation:
Rectangle:
Length times width = area
13(9) =
117
Triangle:
1/2 times base times height = area
1/2(11)(5) =
27.5 or 27 1/2
Total area: 144.5 or 144 1/2
Which of the following inequalities are correct?
Some of the numbers involved are shown on the number line below.
Answers
Answer:
Theyre all correct
Step-by-step explanation:
Which of the following equations has both -6 and 6 as possible values of c?
Answers
A has both 6 and -6 as a answer
calculate the value of 3√12 ÷ 6√27
Answers
which of the following is a solid consisting of a disc, a point not in the same plane as the disc, and all the points between them
Answers
Answer:
the answer is cone.
Step-by-step explanation:
a p ex
I need help pretty pls
Answers
A new pizza company has asked you to design a pizza box. The diameter of a large pizza is
14 inches. Part A. A cardboard pizza circle the same size as the pizza is placed under the pizza in the box. What is the circumference of the cardboard pizza circle?
Part B: what is the area of the cardboard pizza circle?
Part C: You allow a 1-inch gap between the pizza and the sides of box. What is the length of each side of the base of the box?
A. A cardboard pizza circle, the same size as the pizza, is placed under the pizza in the
box. What is the circumference of the cardboard pizza circle?
B. What is the area of the cardboard pizza circle?
C. You allow a 1-inch gap between the pizza and the sides of the box. What is the length
of each side of the base of the box?
Answers
Answer:
17 in.
Step-by-step explanation:
Some of the pizza will be ate multiply by 4 to get 17
A taxi company charges passengers $1.75 for a ride, no matter how long the ride is, and an additional $0.40 for each mile traveled. The rule c = 0.40m + 1.75 describes the relationship between the number of miles m and the total cost of the ride c.
a. What is the charge for a 1-mile ride?
b. What is the charge for a 2.7-mile ride?
$2.15; $2.83
$0.40; $5.13
$1.75; $2.15
$0.40; $1.08
Answers
Answer:
$2.15; $2.83
Step-by-step explanation:
2.7 + 1.75 = $2.83
$2.83 is the answer
What is the area of the trapezoid showroelow?
7
25
4.
Answers
Answer:
180
Step-by-step explanation:
In a certain exam of grade ten, 75% students got high score in mathematics, 65%
students got high score in English. If 6% of them did not get high score in both
mathematics and English, then calculate:
i. the percent of students who got high score in both the subjects.
ii. the total number of students who got high score either in mathematics or
in English if 300 students had attended the exam.
Answers
Answer:
i. Math: 225; English: 195
ii. 402
iii. 420
Step-by-step explanation:
HELP ME PLEASE I'm trying to figure out this equation or whatever this is.
Answers
Answer:
2
Step-by-step explanation:
Which property of multiplication is shown?
9 × 0 − 6 × 0 = (9 − 6) × 0
Answers
Answer: Associative property
Step-by-step explanation: it is the same equation but they switched the numbers around on the other side of the equal sign so therefore its associative property
Answer:
Distributive property of multiplication
Step-by-step explanation:
which function is a translation of the parent absolute value function?
shift 5 units to the right
shifts 4 units down
Answers
Answer:
[tex]g(x) = |x-5|-4[/tex]
Step-by-step explanation:
[tex]f(x) = |x|\\\\g(x) = f(x-5)-4\\\\g(x) = |x-5|-4[/tex]
Solve for W.
2=LW
Nnnnnnnnnnnnnnnnn
Answers
Answer: W = 2/L
Isolate the variable by dividing each side by factors that don't contain the variable.
Is the answer I believe
A person purchased 10 items to donate to a school. They bought backpacks that cost $25.75 each and notebooks that cost $4.25 each. The total cost of the items is $150. This situation can be represented by a system of equations with a unique solution.
What does the solution (x, y) to the system of equations represent in this context?
A. the cost of all the backpacks
B. the cost of all the notebooks
C. the total amount of money spent on the items
D. the number of backpacks and notebooks purchased
Answers
Answer:
D
Step-by-step explanation:
The system of linear equation 25.75x + 4.25y = 150 represents x and y as the number of backpacks and the number of notebooks.
What is the system of equations with a unique solution?In a system of the linear equation there exist if and only if the number of unknowns and the number of the equation is equal.
Total item purchased = 10
The cost of backpacks = $25.75
The cost of notebooks = $4.25
The total cost of the items is $150.
Let x be the number of backpacks and y be the number of notebooks so, the system of equations.
25.75x + 4.25y = 150
Therefore, the system of linear equation 25.75x + 4.25y = 150 represents x and y as the number of backpacks and the number of notebooks.
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Hii! Does anyone know the answer to this? I’m bad at geometry and need help! Thank you
Answers
Answer:
Length of AC = 23.75 unit
Step-by-step explanation:
Give that BD II CE
Length of AB = 10 unit
Length of AD = 16 unit
Length of DE = 22 unit
Find:
Length of AC
Computation:
Give that BD II CE
So,
AB / BC = AD / DE
AB / [AC - 10] = AD / DE
10 / [AC - 10] = 16 / 22
[10][22] = [AC - 10][16]
220 = 16AC - 160
16AC = 220 + 160
16AC = 380
AC = 23.75
Length of AC = 23.75 unit
Evaluate d – f if d = 7 and f = –15
Answers
Answer:
The answer is 22!!!!!!!
Answer:
22
Step-by-step explanation:
d – f
Let d = 7 and f = -15
7 - -15
7+15
22
Corinne is planning a beach vacation in July and is analyzing the daily high temperatures for her potential destination.She would like to choose a destination with a high median temperature and a small interquartile range.She constructed box plots shown in the diagram below.
Which destination has a median temperature above 80 degrees and the smallest interquartile range?
(1)Ocean Beach (2)Whispering Palms (3)Serene Shores (4)Pelican Beach
Answers
Answer:
4
Step-by-step explanation:
Pelican Beach has a median temperature above 80 degrees and the smallest interquartile range.
What is a box plot?'A boxplot is a standardized way of displaying the distribution of data based on a five number summary, minimum, first quartile, median, third quartile, and maximum. It can tell us about the outliers and what their values are.'
According to the given problem,
In the given box plots, Whispering Palms and Pelican Beach has a median temperature of above 80 degrees. The median is the middle-most line that divides the box plot into two parts. Their median is approximately 85 degrees.
The interquartile range is the difference between the end points of the box plot.
Pelican Beach has the smallest interquartile range since the difference between the end points is less than the interquartile range of Whispering Palms.
Hence, we can conclude, Pelican Beach ahs the median temperature above 80 degrees and the smallest interquartile range.
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