Answers
Answer:
x = 54angle ACD = 124°Step-by-step explanation:
The rule is that the exterior angle (ACD) is equal to the sum of the remote interior angles (the two marked angles on the right).
You are expected to use this relation to write and solve an equation.
exterior angle = angle D + angle B
(2x +16) = 58 + (x+12)
2x +16 = x +70
x + 16 = 70
x = 54
Then angle ACD is ...
angle ACD = (2x +16)° = (2·54 +16)°
angle ACD = 124°
Related Questions
7 7/8 + 2 1/3 = x this is a problem tht I’m struggling with
Answers
First, before we can add, we have to find a common denominator.
We can use 24.
7 7/8 x 3/3 = 7 21/24
2 1/3 x 8/8 = 2 8/24
Now we add.
7 21/24 + 2 8/24 = 9 29/24 (denominator stays the same)
Lastly, simplify
9 29/24 = 10 5/24
Hope this helps
Let's solve your equation step-by-step
7 7/8 +2 1/3 =x
Step 1: Simplify both sides of the equation
245/24 =x
Step 2:Flip the equation
x=245/24
Answer: x=10 5/24
A number to the 12th power divided by the same number to the 9th power equals 343. What is the number?
Answers
The cubed root of 343 is seven
The graph shows the function f(x) = 2^x What is the value of x when f(x) = 4?
Answers
Answer:
x=2
Step-by-step explanation:
f(x)=2^x
Now the given value is used:
4=2^x
x=2, because 2 squared is 4
__ = 4
22 8
Anybody know???
Answers
Find the length of each colored line
Answers
Answer:
1: 2cm
2: 5cm
Step-by-step explanation:
Answer:
First one is 2, second is 5
Step-by-step explanation:
x - 4 = -8 + x I need help on my homework please help!
Answers
Answer:
the answer is no solution
Step-by-step explanation:
if you need to know how i got it just comment on my answer! :)
Answer: No Solution
Step-by-step explanation: Lets say X is 8. -8+8 is 0, and 8-4 is 4. Continue to replace X with multiply different numbers to try and solve the equation, but the solution will always be 4 apart, so no solution.
The national debt is about $26.7 Trillion as of today. Let's say that it grows in the future at about 7%, as it has from 2010 until today. Projecting forward 10 years, lets say that the population is about 350 million people at that time. In 10 years from now, approximately how much will the average citizen owe the Federal government, just so that the government can pay all its debts?
Answers
Answer:
Approximately, each citizen will owe $81,626 just so that the government can pay all its debts in the coming 10 years
Step-by-step explanation:
What we have here is that the debt grows at a rate of 10% per decade
So in the next 10 years, the worth of the debt will be;
26.7 trillion + 7% of 26.7 trillion
= 26.7 trillion + 1.869 trillion
So the total debt will now be;
= 28.569 trillion
So the amount each of the 350 million citizens owe the government will be;
28.569 trillion/ 350 million
= 81,625.71428571429
Approximately each citizen will owe $81,626
rafael ramirez is the lead food and beverage supervisor at a small restaurant. he is paid 14.40 an hour for a regular 40 hour week. his overtime pay is 1 1/2 times his regular hourly rate
Answers
Answer:
the amount that he would make in a week is $576.00
Step-by-step explanation:
14.40 * 40 4*0=0
0*0=0 4*4=16
0*4=0 4*4+1=17
add the decimal 4*1+1=5
0*4=0
0*1=0 Then you add and you
then you move on to the tens digit get a total of $576.00
Helps me solve this problem please 8
Answers
Answer:
Hey Buddy! Part 8 would be just to put the y on the y axis, put the x on the x axis, and with the numbers just put them on the line in order, 1,2,3,4,5,6,7,8,9,10
Step-by-step explanation:
Which math PROPERTY is this? If 12 = 17 - 5, then 17 - 5 = 12
Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.
Tip: The symmetric property of equality states that no matter what side the equations and answer are it will still be equal, but it only works for the equal sign.
The math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.
What is Number system?A number system is defined as a system of writing to express numbers.
Given that 12 = 17 - 5, then 17 - 5 = 12
we need to check which property will be used.
The math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.
The symmetric property of equality is really quite simple. This property states that if a = b, then b = a. That is, we can interchange the sides of an equation, and the equation is still a true statement.
Hence, the math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ2
Brandon goes to the fair with $25.00. He spends $4.00 to get in and the rest on tickets for rides. Each ride ticket costs $1.50. How many ride tickets does brandon buy? Explain how you got your answer below.
Answers
Answer:
14
Step-by-step explanation:
$25.00 - $4.00 = $21.00
$21.00 / $1.50 = 14
Answer:
14 ride tickets
Step-by-step explanation:
He has $25, and spends $4. So 25 - 4 = 21. Each ride ticket is $1.50. So 21 ÷ 1.50 = 14
Sturdy the diagram
Value of
Answers
Step-by-step explanation:
5x + 2 = 50 - x (vertically opp angle)
5x + x = 50 - 2
6x = 48
x = 8
if you wanna check it,
5x + 2 = 50 - x
5(8) + 2 = 50 - 8
40 + 2 = 42
42 = 42
Jackie drinks a bottle of water and a bottle of orange juice every morning the bottle of water has 16.9 the bottle of orange juice has 15.2 which is the best estimate for the total amount jackie drinks in the morning for an entire week and gives a good explanation for that estimate
Answers
Answer:
224.7clStep-by-step explanation:
Ok, noticed that the bottles are not properly given a unit according to the question.
let us assume the units are in centiliters that is cl
Every morning the bottle of water has 16.9cl
the bottle of orange juice has 15.2cl
therefore if Jakie does this drinking continuously for 7 days she will be drinking
bottle of water has 16.9cl*7= 118.3cl
bottle of orange juice has 15.2cl*7=106.4cl
total=118.3+106.4
total is 224.7cl
Explain the difference between 1/2 and 1/2%
Answers
Answer:
1/2 is 0.5
but % means times by 0.01
so 1/2% is way more smaller
HELP PLS UHM 15 POINTS AND Brainliest
Answers
Answer:
(0,2)
Step-by-step explanation:
The intercept is the part of the line touching the quadrat.
Answer:
B (0,2)
Step-by-step explanation:
Because if its on the red line on the y axis its 2.
The new number, 200, is 400 less than the original number. What is the approximate percent change?
The percent change is approximately 0.6%.
The percent change is approximately 1.5%.
The percent change is approximately 66%.
The percent change is approximately 150%.
Answers
Answer:
The percent change is approximately 66%.
Step-by-step explanation:
200 is one-third of 600. In math involving percentages, division comes into play in some ways. Divide 600 by 3, and you get 200. 33% is a third of 100% in mathematics, meaning that 200 is one-third, or 33%, of 600.
Answer:
the answer is 66
Step-by-step explanation:
i just did the test
Is the answer yes or no that’s all I want to know #Respectfully
Answers
Answer:
What your question?
Step-by-step explanation:
Answer:
I think the question is yes
Which number has the smallest value?
A 3.0
B 5
-
7
C. 4
-
9
D 62%
Answers
Answer:
C. 4 - 9
= - 5 is the correct answer .
thank you ☺️☺️
Three times a number that is decreased by four is sixty-two. Find the number.
Answers
Answer: 22
Step-by-step explanation: (22 x 3) -4 = 62
How many angles are supplementary to the angle of 100 degrees?
Answers
Answer:
I think its 2 good luck
Step-by-step explanation:
Answer:
100 degrees and 80 degrees are supplementary angles
Step-by-step explanation:
2 angles are supplementary if they add up to 180 degrees
james and bethany morrison are celebrating their 10th anniversary by having a reception at a local reception hall. they have budgeted $2.500 for their reception. if the reception hall charges a $100 cleanup fee plus $33 per person, find the greatest number of people that they may invite and still stay within their budget
Answers
Answer:
72 guests
Step-by-step explanation:
2 500$ - 100$ {divided by} 33$ = 72.73 = 72 (round down)
While scuba diving, Alex counted the number of sea turtles and jellyfish he saw. After a few minutes, he counted 4 sea turtles and 12 jellyfish. This ratio remained constant during the remainder of his dive. Fill in the parts of the equation that models the relationship between jellyfish, and sea turtles.
Answers
Answer:
Down Bellow
Step-by-step explanation:
1 to 3
4 to 12
8 to 24
14 to 42
20 to 60
Part B
J = 3x t
Answer Prt B: 3x
Answer Part A: ^
|
The equation 3x =y models the relationship between jellyfish, and sea turtles such that the ratio of their numbers remain constant.
What is ratio?Ratio is the relationship between two numbers given by a quotient
If the ratio of two numbers x and y is x/y then the fraction x/y gives that what parts x is of y .
Given that there are 4 sea turtle and 12 jellyfish in the sea when Alex counted the number.
Ratio of number of sea turtle to number of jellyfish = 4/12 = 1/3
Let at any time the number of sea turtles be x and number of jellyfish be y
Then ratio of number of sea turtles to jellyfish = x / y
Given that this ratio remained constant during the remainder of his dive,
∴ x/y = 1/3
Cross multiply
⇒ 3x = y
The equation that models the relationship between jellyfish, and sea turtles is 3x =y
Also, learn more about ratio from the link below:
https://brainly.com/question/13419413
#SPJ2
a proportion compares two what
Answers
Answer:
it compares rates to cats
Answer:
A proportion compares two numbers by division
(by the way can you also help me with one of my questions part 2 would be nice on my profile it shouldbe the first one :) )\
Step-by-step explanation:
Each month, Arnold receives $1,050 for working part-time at his uncle's camera store.
For each camera that he sells, he earns a $125 bonus. Which equation can be used to
find Arnold's total monthly paycheck, P(x), based on the number of cameras that he
sells, x?
Answers
.806 divided by 1.3 I need the stepsssss
Answers
Answer
.62
Step-by-step explanation:
im sorry i cannot provide the steps but using a calculator you can conclude .62
Answer:
0.806 ÷ 1.3
=
806
1000
÷
13
10
=
806
1000
×
10
13
=
806 × 10
1000 × 13
=
8060
13000
=
8060 ÷ 260
13000 ÷ 260
=
31
50
Evaluate def2 if d = −4, e = 5 and f = −9.
Answers
What is the equation of the orange line????
Answers
Answer:
4x and -2y
Step-by-step explanation:
What is the value of x in the equation 2x + 3y = 36, when y = 6?
8
9
027
36
Answers
Answer:
x = 9.
Step-by-step explanation:
The first step I did was replace y with 6.
[tex]2x+3\cdot \:6=36[/tex]
I multiplied 3*6 next.
[tex]2x+18=36[/tex]
Then I subtracted 18 from both sides of the equation.
[tex]2x+18-18=36-18[/tex]
After, I simplified the equation.
2x=18
Divided the both by 2 and then simplified again to get...
[tex]\frac{2x}{2}=\frac{18}{2}[/tex]
[tex]x=9[/tex]
So [tex]x=9[/tex].
In the function above, the slope will be multiplied by -9, and the y-value of the y-intercept will be increased by 2 units. Which of the following graphs best represents the new function? if u need the choice ill give them to u
Answers
Answer:
Step-by-step explanation:
I can give you the key points to look for without the graph. You'll have to do that.
New y intercept
The intercept increases by 2. Currently it is 2. The new y intercept is 2 + 2 = 4
The new Slope
The slope is multiplied by - 9. Currently it is (y2-y1)/(x2 - x1) = (2-0)/(0-6) = 2/-6= - 1/3
This is multiplied by - 9
-9*(-1/3) = 3
New equation
y = 3x + 4
x intercept.
The x intercept occurs when y = 0.
0 = 3x + 4
-4 = 3x
-4/3 = x
Discussion
What you are looking for is a line that goes through two points
(0,4) and
(-4/3,0)
Answer:
I believe its
D. Y
Step-by-step explanation:
hope this is correct
please give me brainiest if correct
I just checked that the answer is correct
So this is the right answer by the ways!
What is the solution to the following system of equations y=2x-4 Y=x
Answers
Answer: (4,4)
Step-by-step explanation:
Hope this helps
