Answers
Answer:
Step-by-step explanation:
for angle <ADB= 90-31= 59 degrees
for angle <ACD= ACD have the same shape like BDC so it will be 31 degrees
for angle< DBC= remember ADB and ABD are same so the angle ADB is equal to ABD. So it is 59 degrees.
for angle<DEC= Add both angles C and D 31 and 31.
so
<DEC+31+31=180
<DEC+62=180
<DEC=180-62
<DEC= 118DEGREES
Related Questions
There are 20 questions in a quiz. Each correct answer scores 7 points, each wrong answer scores -4 points and each question left blank scores 0 points. Eric took the quiz and scored 100 points. How many questions did he left blank?.
Answers
He answered 16 questions correctly, and got 3 wrong answers.
==========================================================
Explanation:
Let
x = number of questions that are correct y = number of wrong answers z = number of questions left blankx,y,z are nonnegative whole numbers.
-------------------
Since there are 20 questions total, this means the first equation to set up is:
x+y+z = 20
Solving for y leads to
x+y+z = 20
y+z = 20-x
y = 20-x-z
We'll use this later.
-------------------
Another equation to set up is 7x-4y = 100 because Eric earns 7 points per correct answer and loses 4 points for each incorrect answer, and all that leads to 100 points total which was his quiz score. We'll ignore the questions he left blank since they add 0 points.
Let's plug the equation in which we isolated y
7x-4y = 100
7x-4(20-x-z) = 100
7x-80+4x+4z = 100
7x+4x+4z = 100+80
11x+4z = 180
-------------------
Now we can guess and check to see which pair of x and z values will make that last equation above true. I suggest starting with the smallest possible value of x and using that x value to solve for z.
If x = 0, then,
11x+4z = 180
11(0)+4z = 180
4z = 180
z = 180/4
z = 45
So if Eric got 0 correct answers, then he left 45 questions blank. But that isn't possible because there are only 20 questions total. So we'll ignore the case that x = 0.
If we increase x by 4, and decrease z by 11, then we get another ordered pair solution to this equation
So another solution is (x,z) = (4,34)
Note that
11x+4y = 180
11(4) + 4(34) = 180
But like before, z = 34 isn't possible since 20 is the max.
Increase x by 4 again, and drop z by 11 to get (x,z) = (8,23). Again we run into the same issue as before.
Increase x by 4 again, and decrease z by 11 to get (x,z) = (12, 12). Now we have both x and z smaller than 20, but note how x+z = 12+12 = 24 which exceeds the total number of questions. So we rule this case out as well.
Do another round of "increase x by 4, decrease z by 11" to get to (x,z) = (16, 1). This is the only case left because anything beyond this, z will be negative.
Luckily, this final case does work. If Eric answers x = 16 questions correctly, then he left z = 1 of them blank. That must mean y = 20-x-z = 20-16-1 = 3 questions were incorrect.
We can see that:
7x-4y = 7(16)-4(3) = 112-12= 100
meaning that (x,y) = (16,3) is a solution to 7x-4y = 100.
-------------------
To summarize, we found that the only possible solution is (x,y,z) = (16, 3, 1)
Meaning x = 16 questions were correct, y = 3 were wrong, and z = 1 question was left blank.
Drag each tile to the correct box.
Tickets for all of the described charity raffles cost $2 per ticket. Arrange the raffles in ascending order of their expected values to the player,
The player picks a single letter from A to J
and
a single digit from 0 to 9. If both the letter
and
the digit match the letter and the digit
picked
on that day, the player wins $150.
Answers
Answer:
100% on plato
Step-by-step explanation:
The raffles in ascending order of their expected values to the player is
player will be choose from A to J and the player wins $150.
player will be choose from A to O and the player wins $240.
player will be choose from A to E and the player wins $85.
What is ascending Order?Ascending order is a method of arranging numbers from smallest value to largest value. The order goes from left to right. Ascending order is also sometimes named as increasing order. For example, a set of natural numbers are in ascending order, such as 1 < 2 < 3 < 4 < 5 < 6 < 7 < 8… and so on.
We have,
Tickets for all of the described charity raffles cost $2 per ticket.
Here first the player will be choose from A to J and the player wins $150.
Second, the player will be choose from A to O and the player wins $240.
Third, the player will be choose from A to E and the player wins $85.
Learn more about Ascending Order here:
https://brainly.com/question/320500
#SPJ7
you go for a run on monday you ran 1.23km on tuesday you ran the same distance , how far did you run altogether ?
Answers
help pls at least some °ω°
Answers
2.4 x 6 = 14.4
5.3 x 7 = 37.1
7.2 x 8 = 57.6
5.1 x 9 = 45.9
i did the entire first row
Answer:
12.5
14.4
37.1
57.6
45.9
71.1
77.4
70.4
60
59.4
47.6
34.2
48.3
67.5
75.6
Dk how to do this can sm1 explain
Answers
[tex]V = \frac{4}{3}\pi r^3\\r^3 = \frac{3V}{4\pi}\\r = \sqrt[3]{\frac{3V}{4\pi}}[/tex]
[tex]r = \sqrt[3]{\frac{3*36\pi}{4\pi}} = \sqrt[3]{3*9} = \sqrt[3]{27} = 3[/tex] m
Answer: B (3 m).
36π = πr²
Divide both side by π
36π/π= πr²/π
36 = r²
r = 6
Max is taking a cab in New York City. The fare is calculated as a base charge of $3.00 plus an additional $2.00 per mile traveled. It is also customary to leave a $2 tip.If Max wants to spend exactly $20, how many miles can he travel?
Answers
Answer: 7.5miles
Step-by-step explanation:
Since the fare is calculated as a base charge of $3.00 plus an additional $2.00 per mile traveled and also customary to leave a $2 tip and Max wants to spend exactly $20. This information can be formed into an equation as:
Let the miles that he can travel be m.
3 + (2 × m) + 2 = 20
3 + 2m + 2 = 20
5 + 2m = 20
2m = 20 - 5
2m = 15
m = 15/2
m = 7.5miles
Therefore, Max can travel 7.5miles
Solve the equation for x.
Answers
Answer:
-90
Step-by-step explanation:
Can someone plz help me?
Answers
Answer:
c
Step-by-step explanation:
c
Marco recorded the hair colors of the people attending a seminar on genetics.
brown 9
black 54
blond 1
gray 4
What is the probability that a randomly selected person will have gray hair?
Write your answer as a fraction or whole number.
⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️
Answers
If you take 4 (number of gray hair) that is your numerator.
Now add up all the numbers (68) that is your denominator.
You now have a fraction of 4/68 but that can be reduced to 1/17.
A windshield wiper is 18 inches long and its blade is 12 inches long. It sweeps through an angle of 130 degrees. What is the total area wiped by the windshield wiper?
Answers
Answer:
[tex]A=65 inches^2[/tex]
Step-by-step explanation:
From the question we are told that:
Length of wiper [tex]x=18[/tex]
Length of blade [tex]y=12[/tex]
Angle[tex]\theta=130\textdegree[/tex]
Generally the equation for Cover Area windshield wiper A_w is mathematically given by
[tex]A_w=x^2*\frac{\theta}{360}[/tex]
[tex]A_w=18^2*\frac{130}{360}[/tex]
[tex]A_w=117 \textdegree[/tex]
Generally the equation for Cover Area windshield blade A_b is mathematically given by
[tex]A_b=y^2*\frac{\theta}{360}[/tex]
[tex]A_b=12^2*\frac{130}{360}[/tex]
[tex]A_b=52 \textdegree[/tex]
Therefore total Area wiped by windshield wiper A
[tex]A=A_w-A_b[/tex]
[tex]A=65 inches^2[/tex]
please help, ill mark brainliest = )
Answers
Answer:
1.6lb
30oz
800g
Step-by-step explanation:
That's the order.
10+10 is the same as 11+11
do you understand?
Answers
Answer:
wow
Step-by-step explanation:
lol idle b Betsey e wet get hectic
answer correctly please !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer:
62.73 or 62.7
*in the future you could use desmos to help you :)
Molly is making strawberry infused water. For each ounce of strawberry juice, she uses three times as many ounces of water. How many ounces of strawberry juice and how many ounces of water does she need to make 84 ounces of strawberry infused water
Answers
Answer:
21 ounces of juice.
63 ounces of water
Step-by-step explanation:
let :
x = ounces of strawberry juice to make the strawberry infused water.
3x = ounces of water needed to make the strawberry infused water.
3x + x = 84
4x = 84
divide both sides of the equation by 4
x = 21 ounces
3x = 3 x 21 = 63 ounces
The athlete drank 80% of his water bottle in the first 15 minutes of his workout. If the bottle held 16.9 ounces of water, how many ounces was that?
Answers
Answer:
13.52 ounces of water
Step-by-step explanation:
80% equals 8/10
So we multiply 16.9x8/10 getting 13.52 ounces
$775 at 6% simple interest for 3 years.
Answers
$775 at 6% simple interest for 3 years.
____________________Solution :-Given Information :-Principal ( P ) = $775Rate of Interest ( R ) = 6% p.a.Time Period ( T ) = 3 years To Find :-Simple Interest Formula Used :- [tex] \boxed{ \sf\dfrac{principal \times rate \times time}{100} }[/tex] Calculation :-Substituting the given values in the formula, We get,
[tex] \sf: \implies \dfrac{775 \times 6 \times 3}{100} [/tex]
Calculating further, We get,
[tex] \sf: \implies \dfrac{13950}{100} [/tex]
Dividing, We get,
[tex] \sf: \implies \$ 139.50[/tex]
∴ The Simple Interest is $139.50
____________________Final Answer :-The Simple Interest is $139.50____________________Are these ratios equivalent?
3 large surfboards to 9 medium surfboards
6 large surfboards to 18 medium surfboards
Answers
Answer:
Yes
Step-by-step explanation:
3:9 in their lowest forms are 1:3 which is the same for 6:18
Find the volume of the rectangular prism.
11 cm
11 cm
11 cm
Volume
[?] cm
cm
Answers
Answer: 1331
Step-by-step explanation: v=lwh
The volume would be 1,331 cm cubed. I hope this helps, have a good day!
Please help me solve all of this thank you :) have a nice day <3
Answers
Answer:
I don't know how you wanted to round it
1)
SA = 8(7) + 12(7) + 10(7) + [tex]\frac{1}{2}[/tex] [tex]\sqrt{-8^4+2(8x12)^2+2(8x10)2-12^4+2(12x10)^2-10^4}[/tex]
SA = 289.3725
V = [tex]\frac{1}{4}[/tex] (7) [tex]\sqrt{-8^4+2(8x12)^2+2(8x10)2-12^4+2(12x10)^2-10^4}[/tex]
V = 277.80389
2)
SA = 8.1(13) + 8(13) + 8.1(13) + [tex]\frac{1}{2}[/tex] [tex]\sqrt{-8.1^4+2(8.1x8)^2+2(8.1x8.1)^2-8^4+2(8x8.1)^2-8.1^4}[/tex]
SA = 370.94749
V = [tex]\frac{1}{4}[/tex] (13) [tex]\sqrt{-8.1^4+2(8.1x8)^2+2(8.1x8.1)^2-8^4+2(8x8.1)^2-8.1^4}[/tex]
V = 366.2587
Someone help me with this pls
Answers
(5^-2)^2 and 5^2•5^-6
Question 10 (10 points)
It cost Joe Chavez a total of $200 to rent a car. He drove the car 850 miles. What was his cost per mile?
O a
Ob
Ос
Od
$0.18
$0.25
$0.87
$0.24
Answers
Answer:
the answer is certainly A
Select the properties of a parallelogram.
has four right angles
opposite sides are congruent
diagonals are perpendicular to each other
O diagonals bisect each other
diagonals are congruent to each other
opposite sides are parallel
O diagonals bisect the opposite angles
O opposite angles are congruent
Answers
Answer:
Properties of a parallelogram:
has four right angles- no opposite sides are congruent - yes diagonals are perpendicular to each other- no diagonals bisect each other - yes diagonals are congruent to each other - no opposite sides are parallel - yes diagonals bisect the opposite angles - no opposite angles are congruent - yesA quadrilateral has the following vertices on a coordinate plane:
Point J: (3,−6)
Point K: (−1,−6)
Point L: (−1,2)
Point M: (3,2)
Enter the length of side JK.
units
Answers
Answer:
We have to draw it!
Step-by-step explanation:
Use graph paper:
4 units i graphed it out
Factor the following polynomial with the greatest common factor
Answers
Answer:
6x³(2x - x² + 3)
Step-by-step explanation:
Given
12[tex]x^{4}[/tex] - 6[tex]x^{5}[/tex] + 18x³ ← factor out 6x³ from each term
= 6x³(2x - x² + 3)
a cylinder and a cone have the same volume. the cylinder has a radius x and height y. the cone has a radius of 1/2 x. find the height of the cone in terms of y.
URGENT PLS
Answers
Answer:
12 y
Step-by-step explanation:
π. x².y = ⅓. π (½x) ².h
=> eliminate π,
x²y = ⅓. ¼x².h
=> eliminate x²,
y = 1/12 h
h = 12 y
so, height of the cone = 12 y
What percent of the people surveyed more than 10 hours of exercising each week?
Answers
Answer:
The percentage of people is 60%
Step-by-step explanation:
The reasoning this is the answer is because you to find the percentage you take the amount which does the thing or the part of the whole which is included in the slection ad you divide it by the total and multiply that by 100 so (2100/3500)*100 and that gives you 60%
Shirley is decorating the gym for a party. She has 5 rolls of blue streamer and 9 rolls of green streamer.
Each roll of blue streamer is 98 feet long and each roll of green streamer is 82 feet long. How many total feet of streamer does Shirley have to decorate with?
Answers
Answer:
rolls of blue streamer: 5×98=49
rolls of green streamer: 9×82=738
total rolls: 49+738=787
No joke answers. No links. Will award BRAINLIEST if correct!!Question 12 (1 point)
A scientist is interested in whether stretching before running 5 kilometers will improve a runner's time. The
scientist decides that an experimental study is the best method to use to answer the question. One group of
runners will run a 5-kilometer race without stretching, and a second group of runners will follow a specific
stretching routine before running the race. The finishing times will be recorded, along with the group type for
each runner
The group that raced without stretching has a mean finish time of 23.5 minutes and a standard deviation of 2.6
minutes. Write a sentence or two that summarizes any conclusions that can be made about the statistical
question, "Does stretching before running a race improve a runner's time?"
Answers
Answer:
Yes
Step-by-step explanation:
Sheila works with new customers or customers that want to change to a new plan. This month, she worked with 928 customers that wanted to change plans and 42% of her customers were new. Rounded to the nearest whole number, how many of her customers were new?
Answers:
A: 391
B: 388
C: 390
D: 389
Answers
Answer:
C. 390
Step-by-step explanation:
Find how many customers were new by multiplying 928 by 0.42. This will find 42% of 928:
928(0.42)
= 389.76
Round this to the nearest whole number:
389.76
= 390
So, 390 of her customers were new.
The correct answer is C. 390
please answer this
simplify 7⁸
Answers
Hey there!
7^8
= 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7
7 * 7 = 49
= 49 * 49 * 49 * 49
49 * 49 = 2,401
2,401 * 2,401
= 5,764,801
Answer: 5,764,801
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)