Answer:
x = 15
y = 12
m < AED = 83°
m < DEC = 97°
Step-by-step explanation:
According to the given problem:
< AED = (6x - 7)°
< BEC = (4x + 23)°
< AEB = (8y + 1)°
< DEC = (5y + 37)°
Two angles are vertical angles if they are opposite angles formed by the intersection of two lines. Vertical angles are congruent.
Given that < AED and < BEC are vertical angles, then it means that they have the same measure.
The same goes with < AEB and <DEC, they are also considered as vertical angles.
To solve for x:
< AED = < BEC
(6x - 7)° = (4x + 23)°
Subtract 4x from both sides:
6x - 4x - 7 = 4x - 4x + 23
2x - 7 = 23
Add 7 to both sides:
2x - 7 + 7 = 23 + 7
2x = 30
Divide both sides by 2 to solve for x:
2x/2 = 30/2
x = 15
To solve for y:
< AEB = <DEC
(8y + 1)° = (5y + 37)°
Subtract 5y from both sides:
8y - 5y + 1 = 5y - 5y + 37
3y + 1 = 37
Subtract 1 from both sides:
3y + 1 - 1 = 37 - 1
3y = 36
Divide both sides by 3 to solve for y:
3y/3 = 36/3
y = 12
To double check whether our values of x and y are correct, substitute these values into the established equality statements:
< AED = < BEC
(6x - 7)° = (4x + 23)°
[6(15) - 7]° = [4(15) + 23]°
(90 - 7)° = (60 + 23)°
83° = 83° (True statement. Therefore, x = 15 is the correct answer, and m < AED = 83°).
< AEB = <DEC
(8y + 1)° = (5y + 37)°
[8(12) + 1)° = [5(12) + 37]°
(96 + 1)° = (60 + 37)°
97° = 97° (True statement. Therefore, y = 12 is the correct answer, and m < DEC = 97°).
Please mark my answers as the Brainliest if you find this helpful :)
Which of the following is the equation for the graph shown?
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Answer:
D y²/5 -x²/4 = 1
Step-by-step explanation:
The y-intercept is about 2.2, or √5. This point (0, √5) only satisfies the equation of the last choice:
y²/5 -x²/4 = 1
__
Additional comment
The second attachment tells you the foci are located at (0, ±(a²+b²)), where a² and b² are the denominators in the above equation. That is the foci are ...
(0, ±√(4+5)) = (0, ±3) . . . . as shown in the graph
This confirms the equation denominators are rightly 5 and 4, with 5 being the denominator of y².
The second attachment has the equation for a hyperbola that opens along the x-axis. Interchange the variables x and y to get the hyperbola shown in this problem statement.
please help me with this sum
1.705
2.401
3.906
4.907
5.501
6.206
7.507
8.602
9.307
10.705
Hope it helpsPlease mark me brainest
and follow me to get solutions faster.
A motorboat can maintain a constant speed of 47 mph relative to the water. The boat makes a trip upstream to a certain point in 51 minutes; the return trip takes 43 minutes. What is the speed of the current?
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Answer:
4 mph
Step-by-step explanation:
The ratio of speeds upstream and down is inversely proportional to the ratio of times upstream and down. If we let c represent the speed of the current, the relation can be written ...
(47 +c)/(47 -c) = 51/43
43(47 +c) = 51(47 -c)
94c = 8(47) . . . . . . . . . . . add 51c -43(47)
c = 4 . . . . . divide by 94
The speed of the current is 4 miles per hour.
I need help please ty
Answer:
1no=61
2no=53
Step-by-step explanation:
May this help you
Please see attached. Thank you for the help
Answer:
5 <= x <= 8
Step-by-step explanation:
x/5 (*5) >= 1 (*5)
x >= 5
x-1 (+1) <= 7 (+1)
x <=8
When making the first set a bracelet Rachel used 35% of the yarn the length of the yarn
used was 70 feet how much yarn was there to start
Answer:
i think you should ask the brain
Step-by-step explanation:
Answer:
200 feetStep-by-step explanation:
Let the initial length of the yarn was x.
35% of x is 70 feet
0.35x = 70x = 70/0.35x = 2002x 32 10 10 find x please help ASAP
NO LINKS OR ASSESSMENT!!
Part 1: Graph a function when give the following Domain and Range:
Answer:
Step-by-step explanation:
This is basically the same thing as the last question.
The domain goes from - 8 to 5. The 5 has an open circle for it's endpoint < does not include the end point
the range is a little tricky. It goes from - 6 to 9. The -6 is has a circle (because it is not included in the answer). I'm not sure how you show that on a graph.
I think the best answer is this: if either the domain or range is separated by < then you must change the one that uses ≤ into < so the endpoints of the domain are in agreement. You cannot have the domain using < when the range uses ≤. They both must be the same. I think the best choice is<
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Answer:
see attached
Step-by-step explanation:
The function can have virtually any shape between the ends of the domain and range. The function can have any value in the range at x = -8, and can have any value in the domain at y = 9.
The attachment shows two different functions having the required characteristics.
Simplify
6
20
× [ 8
15
] ÷ [−3
10
]
Answer:
620 x 815 = 505300 50530 divided by {- 310} = - 1630
Step-by-step explanation:
Questions 16-26
Need Help ASAP!
Answer:
fjjwiddjrjefjdjdjdjdjdjdjdjdjjdjdjrjrjxbqvrdjd
domain and range question
Answer:
sorry I don't know
maybe other can help you
Answer:
Domain [-5,9)
Step-by-step explanation:
the domain represents the beginning and ending of the x (sorry i dont know how to explain it in english)
and -5 is closed while 9 is open
meaning that the domain of this function would be a closed parenthesis -5, 9 open parenthesis (this ia how we do it in quebec)
thus [-5,9) (i dont know if this is how u guys do it) but if [ means closed and ) means open then this is the ans if not it would be the first one
DUE TODAY HELP!!
NO TIME FOR LINKS
I NEED THE EXPLANATION
Answer:
oh its 6 digit
Step-by-step explanation:
trust me
Evaluate 4 x^3 + 4x when x = 3
Answer:120
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
Given information:
• 4x³ + 4x
• x = 3
To evaluate the expression further, plug in the given variable and simplify:
4x³ + 4x Replace x with 3.
4(3)³ + 4(3) PEMDAS - put 3 to the 3rd power.
4(27) + 4(3) Use the distributive property to get rid of the parentheses.
108 + 12 Add the two values.
120
The simplification of 4x³ + 4x when x = 3 is 120.
What is the value of 6(2b-4) when b=5?
Answer:
36
Step-by-step explanation:
6[(2×5)-4]
6(10-4)
6(6)
=36
Answer:
36
Step-by-step explanation:
6(2b-4) where b=5
= 6(2(5)-4)
= 6(10-4)
= 6(6)
= 36
A washer and a dryer cost $959 combined. The washer costs $59 more than the dryer. What is the cost of the dryer?
Answer:
A dryer costs $450.
A washer costs $509.
Step-by-step explanation:
Let:
"washer" = x
"dryer" = y
Set the equations:
x + y = 959
x = y + 59
First, plug in y + 59 for x in the first equation for x:
x + y = 959
(y + 59) + y = 959
Simplify, combine like terms:
y + y + 59 = 959
2y + 59 = 959
Next, isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis, Exponents (& Roots), Multiplications, Divisions, Additions, Subtractions.
First, subtract 59 from both sides of the equation:
2y + 59 (-59) = 959 (-59)
2y = 959 - 59
2y = 900
Next, divide 2 from both sides of the equation:
(2y)/2 = (900)/2
y = 900/2
y = 450
Next, plug in 450 for y in one of the equations:
x = y + 59
x = (450) + 59
x = 509
Check:
x + y = 959
450 + 509 = 959
959 = 959 (True).
~
Answer:
$450
Step-by-step explanation:
1. First, let's make a system of equations:
[tex]y+59=x,x+y=959[/tex] (y = dryer, x = washer)2. (Solving)
Solve y + 59 = x for y:
[tex]y + 59 = x[/tex] [tex]y + 59-59=x-59[/tex] (Subtract 59 from both sides)[tex]y = x-59[/tex]Substitute x - 59 for y in x + y = 959
[tex]x + y = 959[/tex] [tex]x+x-59=959[/tex] [tex]2x - 59 = 959[/tex] [tex]2x - 59 + 59 = 959 + 59[/tex] (Add 59 to both sides)[tex]2x = 1018[/tex] [tex]\frac{2x}{2} = \frac{1018}{2}[/tex] (divide both sides by 2)[tex]x = 509[/tex]Substitute 509 for x in y = x - 59
[tex]y = x - 59[/tex] [tex]y = 509-59[/tex] [tex]y = 450[/tex]Therefore, the dryer costs $450. (The washer costs $509).
Which of the following represents this statement? 4x-7>3
Answer:
b
.................................
Answer:
Step-by-step explanation:
The answer is actually a. Hope this helps :)
What is the answer to this question?
Answer:
the answer is option 3rd
How many solutions does this equation have?
9m + 8 - 3m = 4(m + 5)
Answer:
yyyg h ug guy Judy bg
Step-by-step explanation:
by HGTV byf g gu o
Exactly 1 solution
I took the test in k12 and this is the correct answer.
Good luck
Apply the order of operations to simplify each expression.
5.5+23 x 2 =
21
17
50
13
Answer:
50
Step-y-step explanation:
Answer:
21
Step-by-step explanation:
5 + 2³ × 2 = 5 + 2⁴
=5 + 16
= 21
Jasmine is a receptionist at a doctors office. She books 36 appointments each day . Four out of every 24 appointments are cancelled. How many appointments are cancelled each day?
If Jasmine books 36 appointments each day, 6 appointments will be canceled.
Number of appointments booked each day = 36 appointments
Since four out of every 24 appointments are canceled. This means the fraction of appointments that are canceled will be:
= 4/24 = 1/6
Now, since three are 36 appointments each day, the number of appointments that are canceled will be:
= 1/6 × 36
= 6 appointments
In conclusion, 6 appointments will be canceled each day.
Read related link on:
https://brainly.com/question/25211807
What is the probability of rolling a sum of 2 on a standard pair of six-sided dice? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary
A box of 6 nail polishes cost $10. How much is each nail polish?
Answer:
1.66Step-by-step explanation:
You should divide 10 by 6 hope it HELPED
In a lottery game, a player picks 9 numbers from 1 to 46. If 8 of the 9 numbers match those drawn, the player wins second prize. What is the probability of winning this prize? Be sure to leave your answer as a reduced fraction in order to earn credit.
There is a _____
probability of winning second prize.
Answer: [tex]\frac{37}{1,101,716,330}\\\\[/tex]
This is the same as writing 37/1101716330
======================================================
Explanation:
Let's say the nine winning numbers are: 1,2,3,4,5,6,7,8,9
Let's further say that if we matched everything from 1 to 8, then we'll win second prize. That ninth value can be anything but 9. So we could have something like one of these examples
1,2,3,4,5,6,7,8,101,2,3,4,5,6,7,8,111,2,3,4,5,6,7,8,12As you can see, there are 46-9 = 37 different choices we can have for that last slot. In other words, there are 37 items in the set {10,11,12,...,45,46} we can pick for that last ninth slot. Note that 46-10+1 = 37. This value will form the numerator of the answer.
------------------------------------------
Now to calculate how many ways there are to select the nine values regardless if we win or lose.
Since order doesn't matter, we use the nCr combination formula.
[tex]_{n} C _{r} = \frac{n!}{r!*(n-r)!}\\\\_{46} C _{9} = \frac{46!}{9!*(46-9)!}\\\\_{46} C _{9} = \frac{46!}{9!*37!}\\\\_{46} C _{9} = \frac{46*45*44*43*42*41*40*39*38*37!}{9!*37!}\\\\[/tex]
[tex]_{46} C _{9} = \frac{46*45*44*43*42*41*40*39*38}{9!} \ \text{ ... the ``37!'' terms cancel}\\\\_{46} C _{9} = \frac{46*45*44*43*42*41*40*39*38}{9*8*7*6*5*4*3*2*1}\\\\_{46} C _{9} = \frac{399,790,821,830,400}{362,880}\\\\_{46} C _{9} = 1,101,716,330\\\\[/tex]
There are slightly over 1 billion ways to select the nine values.
This large value is the denominator of our answer which is [tex]\frac{37}{1,101,716,330}\\\\[/tex]
The 37 up top represents the number of ways to win the second prize we're after, while the massive number in the denominator represents how many ways there are to play the game.
------------------------------------------
Notice that in the jump from step 4 to step 5, shown in the section above, we had the "37!" terms cancel out. What this means is that the prime number 37 is nowhere to be found anywhere in the factorization of 1,101,716,330
Why is this important? Because it tells us that the fraction [tex]\frac{37}{1,101,716,330}\\\\[/tex] cannot be reduced.
Side note: That fraction converts to the decimal form 0.00000003358397 approximately and that converts to the percentage form 0.000003358397%; both of which are very very small numbers. We can see that the odds are definitely stacked against the player.
PLEASE HELP REALLY QUICK I WILL REWARD BRAINLIEST PUT FULL EXPLANATION AND ANSWER TO THE QUESTION BELOW!!!!!!!!
Answer:
[tex]x = 27[/tex]
Step-by-step explanation:
[tex]36 + 90 + 2x = 180 \\ 126 + 2x = 180 \\ 2x = 180 - 126 \\ 2x = 54 \\ \\ x = \frac{54}{2} \\ \\ x = 27[/tex]
I hope I helped you^_^
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Let's evaluate value of x ~
[tex]\qquad \tt \dashrightarrow \:36 + 90 + 2x = 180[/tex]
[ by linear pair property of straight line ]
[tex]\qquad \tt \dashrightarrow \:2x + 126 = 180[/tex]
[tex]\qquad \tt \dashrightarrow \:2x = 180 - 126[/tex]
[tex]\qquad \tt \dashrightarrow \:2x = 54[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 54 \div 2[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 27 \degree[/tex]
I hope it's easy to understand ~
CAN SOMEONE PLEASE HELP ASAP
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Answer:
D. 5
Step-by-step explanation:
The discontinuities in the tangent function are found where the argument matches π/2 +nπ for some integer n. If x has the range [0, 4], then x² has the range [0, 16]. We're looking for the number of values of n that satisfy ...
0 ≤ π/2 +nπ ≤ 16
Dividing by π gives ...
0 ≤ 1/2 +n ≤ 16/π
Subtracting 1/2, we have ...
-1/2 ≤ n ≤ 4.59...
The integer values of n in this range are {0, 1, 2, 3, 4}. There are 5 of them, hence ...
5 discontinuities in the interval
Identify an equation parallel to y = 9x + 4 passes through (2, 7).
I need help with number 5
Answer:
5
Step-by-step explanation:
-3a+24-9=0
-3a = -15
a = 5
Answer:
Step-by-step explanation:
solve the equation then plug in the to numbers
Please help me solve this!!
Answer:
its B
Step-by-step explanation:
beacuse i searched it it helps
How many QUADRANT do we have in mathematics.
Answer:
4 quadrants
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
There are four Quadrants in Mathematics. Counting from the right to left, to left, then right, we can tell which quadrant we are in.
Please help me!!! -Tom saved up $250 to spend on vacation. If he spends 843 a week for four weeks, how much money
does he have left?
Answer:
Step-by-step explanation: first multiply 843 by 4 and you get 3372 then subtract 250 by 3372 and you get $- 3122