Answers
Answer:
x = 60
Step-by-step explanation:
<DGC = 90 degrees Given
<AGB = <DGC Vertically opposite angles.
<AGB = 90 degrees. <AGB takes on the properties of <DGB
30 + x + 90 = 180 The three angles make up a line.
120 + x = 180 Combine like terms..
x = 180 - 120 Subtract 120 from both sides
x = 60
Related Questions
Solve the system of linear equations by elimination. Check your solutions.
-5x + 3y = -6
9x - 4y = 1
Answers
We can divide both sides of the equation by 43 to solve for x:
90x / 43 - 47y / 43 = -49 / 43
x = -49/43
We can substitute this value for x back into either of the original equations to find y. Let's substitute it into the first equation:
-5x + 3y = -6
(-5 * -49/43) + 3y = -6
y = (-6 + 5 * 49/43) / 3
y = 17/43
The solution to the system of equations is (x, y) = (-49/43, 17/43).
To check our solution, we can substitute the values we found for x and y back into the original equations and see if they hold true.
In the first equation, -5x + 3y = -6, substituting the values we found for x and y gives us:
(-5 * -49/43) + (3 * 17/43) = -6
This simplifies to -6 = -6, which is true, so the solution holds for this equation.
In the second equation, 9x - 4y = 1, substituting the values we found for x and y gives us:
(9 * -49/43) - (4 * 17/43) = 1
This simplifies to -1 = -1, which is true, so the solution holds for this equation as well.
Therefore, the solution (x, y) = (-49/43, 17/43) is correct.
-45x+3*9y=-6*9
Equation1: -45x+27y=-54
Equation2: -45x-(4*(-5))y=1*(-5)
-45x+20y=-5
Equation1-equation2= 27y-20y=-54-(-5)
7y=-49
Y=-7
9x-4*(-7)=1
9x=1-28
X=-3
(X, y)=(-3, -7)
can anyone help me out with this?
Answers
Answer:
Q1-4 = Solutions are found in attachment; Q5 = 24; Q6 = 8; Q7 = 7; Q8 = 3; Q9 = 45; Q10 = 24; Q11 = 15; Q12 = 18; Q13 = 3, 6, 9, 12, 15; Q14 = 7, 14, 21, 28, 35; Q15 = 8, 16, 24, 32, 40
Step-by-step explanation:
Solution for 1 to 4 are shown in the graph in the attachment.
Bold = Answer
Equivalent fractions
5.
6/8 = x/32
32/8 = 4
x = 6 * 4 = 24
6.
4/6 = x/12
12/6 = 2
x = 4 * 2 = 8
7.
1/8 = x/56
56/8 = 7
x = 1 * 7 = 7
8.
9/12 = x/4
12/4 = 3
x = 9/3 = 3
9.
5/9 = 25/x
25 / 5 = 5
x = 9 * 5 = 45
10.
5/6 = 20/x
20 / 5 = 4
x = 6 * 4 = 24
11.
36/45 = 12/x
36/12 = 3
x = 45 / 3 = 15
12.
20/36 = 10/x
20/10 = 2
x = 36/2 = 18
Multiples
13.
3 * 1 = 3
3 * 2 = 6
3 * 3 = 9
3 * 4 = 12
3 * 5 = 15
3, 6, 9, 12, 15
14.
7 * 1 = 7
7 * 2 = 14
7 * 3 = 21
7 * 4 = 28
7 * 5 = 35
7, 14, 21, 28, 35
15.
8 * 1 = 8
8 * 2 = 16
8 * 3 = 24
8 * 4 = 32
8 * 5 = 40
8, 16, 24, 32, 40
How many more vertices does a rectangular prism have, compared to triangular pyramid?
rectangular prism and triangular pyramid
A. 6
B. 4
C. 5
D. 7
Answers
Which data set could represent the scores shown in the histogram?
Answers
Answer:
Step-by-step explanation:
B, because judging the graph it looks like the numbers are the closest to the data shown.
What is
(n+8) + (n−12)
Answers
Answer:
2n - 4.
Step-by-step explanation:
(n+8) + (n−12)
= n + 8 + n - 12
= n + n + 8 - 12
= 2n - 4.
Answer:
2n-4
Step-by-step explanation:
add like terms. n+n=2n 8+-12=-4
2n-4
A restaurant customer left $1.40 as a tip. The tax was 5% and the tip was 20% of the cost including tax. a. Which information is not needed to compute the bill after tax and tip? b. What was the total bill?
Answers
Answer:
Step-by-step explanation:
(10 x 100) x = 0.70. (10÷ 10) 100 ÷ 10. = 1/10 x = 0.70. X 0.70 x 10. X= 7.00
A store pays $275 for a table and marks the price up by 50%. What is the amount of the mark-up ?
Answers
Answer:
$387.50
Step-by-step explanation:
You can get the answer 2 different ways. First you could take $275/2 = $137.50
Or
$275*0.50 = 137.50
add $275+137.50 =$387.50
Select all ratios equivalent to 20:4 A. 8:1 B. 10:2 C. 15:3
Answers
Answer:
b 10:2 ,, c 15:3
Step-by-step explanation:
20:4 by dividing 4 from both sides you get the ratio
5 :1
so simplify the other ratios and find one that equals this one
A is already in simplest form 8:1
so it's refused
B 10:2 by dividing 2 from both sides you get the ratio 5 :1
C 15:3 by dividing 3 from both sides you get the ratio 5 :1
so both B and C are correct answers
Hope this helped! :)
What is the mean of the data? Hours of TV Watched on Saturdays X Х XX 4 5 6 7 Hours 5.5 7 4 9
Answers
Answer: 5.9375
Step-by-step explanation:
The average (mean) is equal to the sum of all the data values divided by the count of values in the data set.
Average = Sum / Count
= 47.5 / 8
= 5.9375
Can you please help me out
Answers
Answer:
it would be 61 tiles i think
Step-by-step explanation:
Explanation:
The figures grow by 5 tiles in each figure: two on each side and one in the middle. The amount of tiles in the figures increase by five each time so the amount of tiles would go: 6, 11, 16, 21, 26, 31, 36, 41, 46, 51.
The math department is putting together an order for new calculators. The students are asked what model and color they prefer. Which statement about the students preferences is true?
A. More students prefer silver Model 55 calculators than silver Model 77 calculators.
B. More students prefer Model 66 calculators than Model 55 calculators.
C. More students prefer black calculators than silver calculators.
D. The fewest students prefer silver Model 66 calculators.
Answers
Answer:
D
Step-by-step explanation:
Answer:a
Step-by-step explanation:
Determine the constant of proportionality in the situation below.
Every bag of peanuts costs $3.55
pls answer this serously thx.
Answers
helppppp meeeeee:))))))))))))))))))))))))
Answers
Answer:yes
Step-by-step explanation:
is so yes so if the 50 it was the 40 so then they it yes
Answer:
19.5°
Step-by-step explanation:
The sum of any 3 angles of a triangle is 180.
That being so 33.5 + 127 + F = 180.
33.5 +127 + F - 33.5 = 180 - 33.5
127 + F = 146.5
127 + F - 127 = 146.5 - 127
F = 19.5
Please help me fast!
Illl give brainly
Answers
Answer:
2,050 = 2.05L and 2,050mL
7,002 = 7.002L and 7,001mL
10,050 = 10.05L and 10,050mL
Step-by-step explanation:
Answer:
2,050 = 2.05L and 2,050mL
7,002 = 7.002L and 7,001mL
10,050 = 10.05L and 10,050mL
Step-by-step explanation:
pleassse Help thanksss
Answers
Answer:
365 dollars
Step-by-step explanation:
Which formulas can you use to calculate the volume of a rectangular prism? Check all that apply.
V = one-half b h
V = 2l + 2w
V = Bh
V = lw
V = lwh
V = s2
Answers
The surface of a table to be built will be in the shape shown below. The distance from the center of the shape to the center of each side is 8.7 inches and the length of each side is 10 inches.
A hexagon labeled ABCDEF is shown will all 6 sides equal in length. ED is labeled as 10 inches. A perpendicular is drawn from the center of the hexagon to the side ED. This perpendicular is labeled as 8.7 inches.
Part A: Describe how you can decompose this shape into triangles. (2 points)
Part B: What would be the area of each triangle? Show every step of your work. (5 points)
Part C: Using your answers above, determine the area of the table's surface. Show every step of your work. (3 points)
Please answer Part A, Part B, And Part C! Will give brainliest
Answers
Answer:I believe the answer is Part B:What would be the area of each triangle? Show every step of your work.
The base of a rectangular pyramid has dimensions 3 feet by 9 feet. The height of the pyramid is 11 feet.
What is the volume of the rectangular pyramid in cubic feet? Answer below, no units.
Answers
Answer:
99
Step-by-step explanation:
1. rectangular pyramid formula:
2. V=lwh/3
3. 99 = (3)(9)(11)/3
There is a closed carton of eggs in Mai's refrigerator. The carton contains e eggs and it can hold 12 eggs. What does the inequality e<12 mean in this context?
Answers
Answer:
That the number of eggs (e) in the carton is less than 12
Step-by-step explanation:
The box plot below represents some data set. What is the interquartile range (IQR) of the data?
Answers
Answer:
16
Step-by-step explanation:
36-20=16
Your welcome
Two of the vertices of a rectangle are plotted on the coordinate grid below.
Answers
Option A is the correct answer.
Find the missing length. Round to the nearest tenth, if necessary.
Answers
A pentagonal pyramid holds 30 cubic cm of sand. The area of the pentagon equals 9 square cm. Find the pyramid's height.
Answers
30cm divided by 9 cm to get ur answer
In this case it is recurring
Answer:
it should be 3.3 if rounded
Step-by-step explanation:
20 points to whoever gets this right <3 ( need a equation )
Nabhitha buys cookies and onions at the store.
She pays a total of $60.39.
She pays a total of $4.79 for the cookies.
She buys 8 bags of onions that each cost the same amount.
Write and solve an equation which can be used to determine xx, how much each bag of onions costs.
Answers
Answer:
8x+4.79=60.39
Step-by-step explanation:
If you want this solved,
60.39-4.79 = 55.6
55.6/8 =6.95
One bag of onions = $6.95
(just for extra because I'm tired)
Explanation
Only answer if you know the correct answer! Thanks! :)
Answers
Answer:
(21, 7)
because the x axis is the number of minutes and the y axis is the x axis divided by 3
Simplify |-33|
A.
0
B.
-33
C.
1
D.
33
Answers
Answer:
D. 33 will be your answer
Step-by-step explanation:
hope it helps...
Answer:
D. 33
Step-by-step explanation:
The two lines closing -33 in are the absolute value lines. Absolute value means how far is that number from 0. Since distance HAS to be positive, the answer is always the number inside the two lines, but positive. No matter if it starts off as negative or positive.
How do I add a percentage (%) tip to a total of a bill? (Ex - Total : 3.00 with a %18 tip)
Answers
To calculate a gratuity or tip on any calculator it is a simple multiplication. In general, the tip amount is the cost times 0.xx and your total including tip, is the cost times 1.xx where xx = the percent you want to leave. If you want to leave a 20% tip, multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total including tip. If you want to leave a 18% tip, multiply the cost by 0.18 to get the tip amount or multiply the cost by 1.18 to get the total including tip.
Let's say you and a friend had dinner that cost $26.50. You had good service and want to leave an 18% gratuity. Put the percentage in decimal form (0.18) then multiply the cost by this number.
26.50 * 0.18 = 4.77. So your tip is $4.77.
An easy way to get the total amount, dinner plus tip, is to multiply the total by 1.18. 26.50 * 1.18 = 31.27. This works mathematically because you want to know your original cost plus the tip which is written as 26.50 + (26.50 * 0.18) = ? Factoring out the 26.50 from this equation you get 26.50 * (1 + 0.18) = 26.50 * 1.18.
How to calculate a tip in your head
You can get a good approximation of a tip by doing it in your head this way.
You can find 10% of your bill by moving the decimal one place to the left. If 26.50 is 100% then 10% is 2.65. Since 20% is 2 times 10%, 20% of the bill is 2.65 + 2.65 = 5.30. Now you know the tip you could leave ranging from poor to good, $2.65 to $5.30. To find 15%, halfway in between, we know 15% is 10% plus 1/2 of 10% (5%). 2.65 plus about 1.30 is 3.95.
Now you have
10% is 2.65 - by moving decimal 1 place left
15% is 3.95 - 10% + 1/2 of 10%
20% is 5.30 - 10% * 2
This is plenty of information to make a good guess at the tip amount you should leave. If you decide on about 18%, 4.50 to 5.00 would be a safe guess.
Hope this helps!!! Please mark Brainliest because no matter what you are the Brainliest of all!
Answer:
put to percentage as a decimal (ex. 0.18) then you add that to the total amount
how can you find the vertex of a parabola if you know it's focus and directrix? in my equation, the focus is (6,4) and the directrix is y=-2
Answers
Answer:
The vertex would be (6,1)
Step-by-step explanation:
The vertex is the midway between the focus and the directrix. The X of the vertex would be the same but to get the Y of the vertex you would need to take the average of the Y values. (6, 4 + (-2)/2) (6,1)
Plz help will be marked BRAINLIEST
And thanks !
Answers
2. X=6
3. X=-8
4. X= 3 (I round it to the nearest number of 2.6)
28/4= 7
x=7
2. 4(x+1)= -28
4x+4=-28
-28-4= -32
-32/4= -8
x=-8
3. x-7= -1
x= 6
in these types of question all you have to is subtract one from the other number.
4. -3x + 7= -1
-1-7=-8
-8/-3
2.6 repeating (2.666666666)
A cylinder with volume of 143^3 cm has 3 spheres inside. Each sphere has a radius of 2cm. What is the volume in the cylinder not taken up with spheres (blank space)?
Please provide the equation and steps you used!
Answers
Answer:Equation: V = πr^2h
Steps:
1. Calculate the volume of each sphere: V = 4/3πr^3 = 4/3π(2cm)^3 = 33.51 cm^3
2. Calculate the total volume of the 3 spheres: 3 x 33.51 cm^3 = 100.53 cm^3
3. Calculate the volume of the cylinder not taken up with spheres: 143^3 cm^3 - 100.53 cm^3 = 42.47 cm^3
Step-by-step explanation:
pls mark brainliest if its correct !!