Answers
♡ Answer ♡
12°
♡ Step-by-step explanation ♡
For this problem, we must find the value of x. In order to do this, there are a few simple steps we must follow.
However, before we begin, there is one important fact we should remember. As we know, there are 180 degrees in a triangle. This means that our total is 180°.
Our first step towards completing this problem is to subtract the amount of degrees we know from the total. In the picture, we can clearly tell that the degrees that are not attached to a variable are 27° and 9°. So, we can easily subtract those from 180°. 27° + 9° = 36°. 180°- 36° = 144°. This means that the remaining value we have left to work with, when incorporating that attached to x, is 144°.
The next step towards completing this question is to add the values of the numbers attached to x. In this case, the remaining values are 5x° and 7x°. The numbers attached to the variable x are 5 and 7. These are the two numbers we must combine to find the answer. 5 + 7 = 12. So, the total value of the numbers attached to x is 12.
This final step is directly connected to the last one. To find the value of x, we must divide 144° by 12. This is because the total degrees of the triangle that are directly connected to x are 144°, and the total values of the numbers directly attached to x are 12. Therefore, by dividing 144° by 12, the answer will be the value of x. 144° ÷ 12 = 12°. So, x is 12°.
Furthermore, there is actually a way to check to see that x is actually 12°. This strategy is by substituting x for 12°. To do this, I must multiply 5° by 12° (for 5x°) and 7° by 12° (for 7x). 5° * 12° equals 60°. 7° * 12° is 84°. 60° + 84° = 144°. Now, we must add the remaining values: 9° and 27°. 9° + 27° = 36°. 36° + 144° = 180°. If you remember, there are 180° in a triangle. 180° = 180°. This proves that the answer is indeed 12°
A/N (Author's Note): I hope this helps those that have found their way to this page! I tried to explain the process in sequential order so that it is easier to comprehend. Thanks for taking time out of your day to read my answer. Have a marvelous week! <3
Related Questions
2
Select the correct answer.
Write an expression to represent the product of 6 and the square of a number plus 15.
In your expression, what is the value of the coefficient?
OA 1
OB 6
ос 2
OD. 15
Reset
Next
Answers
Answer:
C=2
Step-by-step explanation:
A car dealerships sells cars for c dollars. They then apply a 12% markup to all of the cars. Which of the following expression can be used to calculate the
new price of the cars? Select all that apply.
c(12)
c(.12)
c(1.12)
c+ c(.12)
Answers
Answer:
c(1.12)
Step-by-step explanation:
Triangle ABE ~ Triangle CDE. Find the length of altitude for NE.
Answers
Jose is going to watch a movie in his collection. He has 7 action movies, 12 comedies, and 2 dramas.
He will randomly select one movie. What is the probability that the movie he selects is not an action movie?
Write your answer as a fraction in simplest form.
Answers
Answer:
14/21 or 2/3
Step-by-step explanation:
Quinn discovered a recipe for chocolate chip cookies that require 3/4 cups Brown sugar for every 2 cups of flour. How much Brown sugar will she need if she uses 6 1/2 cups of flour?
Answers
Answer:
Quinn will need 2 3/4 cups of brown sugar for 6 1/2 cups of flour
Step-by-step explanation:
If you change 3/4 into decimal form you get .75. You then multiply .75 by 3, because 2*3=6, to get 2.25 or 2 1/4. Then add the 1/2, or 2/4, to 2 1/4. You get 2 3/4
What restriction should be applied to y = tanx for y = arctanx to be defined?
Answers
Answer:
restrict the domain to (-pi/2, pi/2)
Step-by-step explanation:
edge 2020
Answer: c. restrict the domain to (-pi/2, pi/2)
Step-by-step explanation:
Edge :)
A bakery sells 6 rolls for $1.50. If this relationship is graphed with the number of rolls on the x-axis and the cost on the y-axis, what is the slope of the graph in dollars per roll?
Answers
Answer:0.25
Step-by-step explanation: 1.50÷6
The slope of the graph in dollars per roll is 0.25.
What is the slope of a line?The slope of a line indicates the direction and the steepness of the line.
Given that, the bakery sells 6 rolls for $1.50.
The slope of the line in dollars per roll is given by:
(total cost)/(total roll)
= 1.50/6
= 0.25
Hence, the slope of the graph in dollars per roll is 0.25.
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A quality standard says that no more than 2 percent of the eggs sold in a store may be cracked. In 3 cartons (12 eggs each carton) 2 eggs are cracked.
Answers
Answer:
The quality standard is violated.
Step-by-step explanation:
In 3 cartons of eggs no more than 2% are crack.
Let's find out how many eggs are in the 3 cartons.
(3)(12) = 36
There are 36 eggs in all 3 cartons. To find how many are supposedly cracked we need to multiply 36 by the decimal for of 2%.
To change a percent to decimal form we move the decimal of the percent twice to the left. So 2% turns in to .02.
Now, multiply:
(36)(.02) = 0.72
Not even 1 egg in all 3 batches should be cracked.
Therefore, the quality standard has been violated.
In order for the quality standard to be upheld there would have to be 100 eggs and only 2 of them be cracked.
I hope this helps!!
- Kay :)
area of a triangle is 240 centimetre square and its base is 20 CM then find its height of the triangle
Answers
Can someone please help this is due at 9
Answers
Answer:
70
Step-by-step explanation:
We have the final part 4x/40 = 7. We can simplify this to x/10 = 7 by dividing the numerator and the denominator by 4. We then multiply both sides by 10 to get x = 70
Use the fact that 1 inch = 2.54 centimeters to convert 10 yards to centimeters. Round to the nearest tenth
Answers
From unit conversion, it was found that 10 yards = 914.4 cm.
Unit ConversionThe unit of a length is essential information. There are different units for the length. In the International System Units (SI), the standard unit for length is the meter (m). Nonetheless, there are others units, for example: inches (in) and yard (yd).
1 in = 2.54 cm
1 yd = 36 in
The question asks the conversion 10 yards to centimeters. Therefore, you should know the relation between the units for solving this question.
First, you will convert 10 yards to inches. Thus,
1 yd -------- 36 in
10 yd ------- x in
x=36*10
x=360 in
After that, you should find the value in centimeters .
1 in -------- 2.54 cm
360 in --------- x cm
x=360*2.54
x= 914.4 cm
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Simplify: x - 12 +5 - 4x
Answers
Answer:
-3x -7
Step-by-step explanation:
Add the numbers:
x-12+ 5-4x
x-7 -4x
Combine like terms:
x-7 -4x
-3x -7
Solution:
-3x -7
Mira has breakfast at a restaurant she leaves a 20% tip of $1.80 what is the price of breakfast before the tip
Answers
♡ Answer ♡
$9
♡ Step-by-step explanation ♡
In the problem, it states that Mira leaves a $1.80 tip. At the same time, it is also mentioned that the tip is 20% of the price of breakfast before it. This means that $1.80 is 20% of the price of breakfast before the tip. In order to figure out the price of breakfast before the tip, we must take the 20% tip and make it into 100%. This 100% will be equivalent to the price of breakfast (before the tip).
To transform 20% into 100%, we must multiply by 5. Therefore, to find the price of breakfast before the tip, we must multiply $1.80 by 5. When we do this, we discover that $1.80*5 is $9. $9 is 100% of the price of breakfast before the tip.
So, the price of breakfast before the tip is $9.
A/N (Author's Note): I hope this helps/helped those that may be reading this. Have a fantastic week reader(s)!
please help me I don't understand what to do
Answers
Answer:
55 OZ
Step-by-step explanation:
3. The area of a rectangle is 37 square meters. If the length is 5 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth
Answers
Answer:
length is 13.6m
width is 2.72m
(9x +10) (15x-2) solve for x
Answers
Answer:
x=2
Step-by-step explanation:
15x-9x = 6x
10+2 = 12
6x=12
x=2
Answer: x=2
Step-by-step explanation:
9x+10 = 15x-2
-9x -9x
____________
10 = 6x-2
+2 +2
__________
12=6x
Divide
x=2
Milena is trying to determine an expression to represent the amount of punch she needs to make for her party.
Her expression is 3g + 20. Match the value of g with the correct substituted expressions.
g = 15
g=10
g=38
g=20
3(10)+20
3(20)+20
3(38)+20
3(15)+20
Answers
Answer:
g=15 3(15)+20, g=10 3(10)+20, g=38 3(38), g=20 3(20)+20
Step-by-step explanation:
theres your answer!
eh hi btw-
3(1)+2(_)=6
plz help on filling in the blank
Answers
Answer:
x = 3/2
Step-by-step explanation:
Let's solve your equation step-by-step.
(3)(1)+2x=6
Step 1: Simplify both sides of the equation.
(3)(1)+2x=6
3+2x=6
2x+3=6
Step 2: Subtract 3 from both sides.
2x+3−3=6−3
2x=3
Step 3: Divide both sides by 2.
2x/2 3/2
x = 3/2
Hope this helps :)
A pretzel stick measures 6 inches in length Mr Bates just took a bite of it and now it is 35% smaller Which of the following expressions can be used to
6(0.35)
6(0.65)
6-6 (0.35)
6- 6 (0.65)
Answers
Answer: B.
Step-by-step explanation: Mr. Bates made the pretzel 35% SMALLER. That means that the remains of the pretzel is 65% of the original 100% of the pretzel. Therefore, the answer is B.
it is 35% smaller which is another way of saying the pretzel is 65% of its original size. to find the new size we multiply it by .65 so the answer is B
Someone pls show there work give extra points
Answers
Answer: C/pi=d
Step-by-step explanation: You could think of it like a one or two step equation. For example: 12=3x solve for x. You would do 12/3=4. Same thing here, C=pi*d= C/pi.
How many laps can Jayden complete in 18 minutes
Answers
i Ready Understand Absolute Value - Inst Compare the two numbers. -6 or -7
Answers
-7 is less than -6 and -6 is greater than -7.
The absolute value of -7 is greater than the absolute value of -6 and the absolute value of -6 is less than the absolute value of -7.
Does the MVT apply? Explain why or why not.
y=x^2/4x + 4 ;
[-6, -2]
Answers
Hello!
[tex]\large\boxed{\text{Yes, it does.}}[/tex]
In order to use the MVT, the function must be continuous over the given interval.
[tex]y = \frac{x^{2} }{4x}+4[/tex]
Simplifies to:
[tex]y = \frac{x}{4} + 4[/tex]
This is a linear equation that is continuous on the interval (-∞, ∞), which means that it would also be continuous on the interval [-6, -2]. The MVT would apply to this function.
40, 10, 5/2 5/8... (fractions) is it arithmetic or geometric and what are the next two terms PLZ HELP DUE IN 10 MINS
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
Given the sequence
[tex]40,\:10,\:\frac{5}{2},\:\frac{5}{8}[/tex]
A geometric sequence has a constant ratio 'r' and is defined by
[tex]\:a_n=a_0\cdot r^{n-1}[/tex]
Computing the ratios of all the adjacent terms
[tex]\frac{10}{40}=\frac{1}{4},\:\quad \frac{\frac{5}{2}}{10}=\frac{1}{4},\:\quad \frac{\frac{5}{8}}{\frac{5}{2}}=\frac{1}{4}[/tex]
The ratio of all the adjacent terms is the same and equal to
[tex]r=\frac{1}{4}[/tex]
Thus, the given sequence is a geometric sequence.
As the first element of the sequence is
[tex]a_1=40[/tex]
Therefore, the nth term is calculated as
[tex]\:a_n=a_0\cdot r^{n-1}[/tex]
[tex]a_n=40\left(\frac{1}{4}\right)^{n-1}[/tex]
Put n = 5 to find the next term
[tex]a_5=40\left(\frac{1}{4}\right)^{5-1}[/tex]
[tex]a_5=40\cdot \frac{1}{4^4}[/tex]
[tex]a_5=\frac{40}{4^4}[/tex]
[tex]=\frac{2^3\cdot \:5}{2^8}[/tex]
[tex]a_5=\frac{5}{2^5}[/tex]
[tex]a_5=\frac{5}{32}[/tex]
now, Put n = 6 to find the 6th term
[tex]a_6=40\left(\frac{1}{4}\right)^{6-1}[/tex]
[tex]a_6=40\cdot \frac{1}{4^5}[/tex]
[tex]a_6=\frac{40}{4^5}[/tex]
[tex]=\frac{2^3\cdot \:5}{2^{10}}[/tex]
[tex]a_6=\frac{5}{2^7}[/tex]
[tex]a_6=\frac{5}{128}[/tex]
Thus, the next two terms of the sequence 40, 10, 5/2, 5/8... is:
[tex]a_5=\frac{5}{32}[/tex][tex]a_6=\frac{5}{128}[/tex]HElP HeLp HeLp PLEAse
Answers
Answer:
c. 35 miles per hour
Show that f '(x) = g'(x) for all x in their domains. Can we conclude from the corollary below that f − g is constant? If f '(x) = g'(x) for all x in an interval (a, b), then f − g is constant on (a, b); that is, f(x) = g(x) + c where c is a constant.
Answers
Answer:
Answer: 15 cm
Step-by-step explanation:
The derivative of a function at a point can be defined as its slope at that point. For f'(x) = g'(x) in the interval (a,b), it is proved that f - g is constant in (a,b).
What is a Derivative?A derivative of a function is its rate change of increase or decrease in a given interval with respect to its variable. Derivative of a constant function is always zero.
Given that, f'(x) = g'(x) for all x.
Taking integral on both sides
f(x) + C₁ = g(x) + C₂
=> f(x) - g(x) = C₂ - C₁
=> f(x) - g(x) = C
Thus, f(x) - g(x) is constant is proved.
Similarly for interval an interval (a,b),
f(x) - g(x) = C
=> f(x)= g(x) + C
Hence, it is proved that in an interval (a,b), if f'(x) = g'(x) then f(x)= g(x) + C.
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Which point lies on the y-axis?
Answers
Answer:
(0,2)
Step-by-step explanation:
What is the value of the expression 10^3 – 30 divided by 2 x 5 ?
A 0
B) 27
C) 100
D) 925
Answers
What is the inverse of the statement?
A number that has exactly two distinct factors is prime.
If a number has exactly two distinct factors, then the number is prime.
If a number does not have exactly two distinct factors, then the number is not prime.
If a number is not prime, then the number does not have exactly two distinct factors.
If a number is prime, then the number has exactly two distinct factors.
Answers
The inverse statement of "if number that has exactly two distinct factors is prime" is that B. If a number that does not has exactly two distinct factors is not prime"
How to illustrate the information?Each of the original statements is presupposed to be false in an inverse statement. "If it is not snowing" would be the polar opposite of "If it is snowing." "Then it is not chilly" would be the polar opposite of "then it is cold."
In this case, the inverse statement of "if number that has exactly two distinct factors is prime" is that B. If a number that does not has exactly two distinct factors is not prime.
Therefore, based on the information, the correct option is B.
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pls help me on this
Answers
Answer:
Each box will have $14
Step-by-step explanation:
The problem divides the total bill into 5 boxes so divide the total bill ($70) by 5.