A triangle has one angle measuring 3x degrees. A second angle measures 2x + 20 degrees and the third angle measures 4x -20 degrees. What is the value of x
Answer:
20
Step-by-step explanation:
the comment below or above me has everything right except one thing. 4 plus 2 plus 3 equals 9, Not 10. 180 divided by 9 equals 20 and there's your answer
The value of x = 20.
We have the three angles of a triangle.
We have to measure the value of x.
Th sum of all the angles of a triangle is ?The sum of all the angles of a triangle is 180°.
According to the question, we have -
∠1 = 3x
∠2 = 2x + 20
∠3 = 4x - 20
The sum of all the angles of triangle is 180°. Therefore -
3x + 2x + 20 + 4x - 20 = 180
9x = 180
x =20
Hence, the value of x = 20.
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Complete the factoring
7y+42=7()
alexis divided a 1 3/4 pound bag of apples among 3 friends. how many pounds of apples did each friend receive?
Since Alexis divided a 1 3/4 pound bag of apples among 3 friends, the pounds of apples that each friend receives is 7/12 pounds.
Number of pounds of bags of apple to share = 1 3/4
Number of friends to share the apple = 3 friends
Therefore, in order to get the number of pounds of apples that each person gets, we'll need to divide 1 3/4 by 3 and this will be:
= 1 3/4 ÷ 3
= 7/4 ÷ 3
= 7/4 × 1/3
= 7/12
Therefore, the pounds of apples that each friend receives is 7/12 pounds of apple.
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what is 3x - 7 = 8x +23
Why is 101 not in the sequence?
The perimeter of the rectangular base of a monument is 210.5 feet. If the width is equal to its length, what are the dimensions of the base?
The length and the width of the base of the square monument are both 52.625 feet.
Explanation:The question is asking for the dimensions of the base of a monument that has a rectangular shape and a total perimeter of 210.5 feet. Given that the length and width are the same (as it's a square), this implies that both the length and the width of the square are each half of the total perimeter.
We start by dividing the perimeter by 4, as the perimeter of a square is the sum of all four of its sides. So, the length or width of the base of the monument is 210.5 ft / 4 = 52.625 ft.
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A bus service drives passengers between Milwaukee and Chicago every day. They travel from city to city eight times each day. The distance between the two cities is 89 miles..In February there are 28 days. The company's budget allows for 28,000 total miles for February. Do you think the budget is reasonable? Explain
First calculate the total distance covered each day:
distance per day = 89 miles * 8 = 712 miles / day
Then calculate for the whole month (28 days):
distance = 712 miles / day * 28 days = 19,936 miles
Since the actual distance is lesser than the budget, hence it is reasonable.
How many different 12-member juries can be chosen from a pool of 45 people
What is the product of 0.4 and 2.5
Need help with number 4
what does (-7)^2 eaqual??
How many pairs of whole numbers have a sum of 99
How do you solve this 2/5c+4-1/5c= -9
Final answer:
To solve the equation 2/5c + 4 - 1/5c = -9, eliminate the fractions and simplify. Find a common denominator, combine terms, and solve for c. The solution is c = 0.
Explanation:
To solve the equation 2/5c + 4 - 1/5c = -9, we need to eliminate the fractions and simplify the equation.
First, find a common denominator for the fractions, which is 5c:
Multiply the entire equation by 5c:2c + 20c - c = -45cCombining like terms:
21c = -45cAdd 45c to both sides:21c + 45c = 0Combine the terms on the left side:
66c = 0;Divide both sides by 66 to solve for c:c = 0Therefore, the solution to the equation is c = 0.
elvin read 3/7 of the pages of the book he has 56 pages left to read how many pages has he already read
the perimeter of a rectangle is 332 cm and the width is 76 cm. Find the rectangle's length
332/2 =166
166-76 = 90
length = 90 cm
One movie club charges a $100 membership fee and $10 for each movie. Another club charges no membership fee but movies cost $15 each. Write and solve an equation to find the number of movies you need to buy for the cost of each movie club to be the same.
HELP!!!
The expression 0.08x+(x−200) models the final price of a computer with an instant rebate in a state that charges a sales tax. The tax is on the original price.
Which expression represents the amount of tax that is paid on the computer?
x−200
0.08x
1.08x
0.08x−200
Thank you For Posting This Question And Here Is How To Find The Answer:
X is the Original Cost
8% is the Tax Rate
0.08x is the Amount You Pay In Tax
So the Answer is B!
Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s).
A scientist measures the diameter of a bacteria cell and yeast cell. She finds the diameter of a bacteria cell to be 0.0000021 meters and the diameter of a yeast cell to be 0.00000398 meters.
The approximate diameter of the bacteria cell is represented by point ----------
on the number line.
The approximate diameter of the yeast cell is represented by point -----------
on the number line.
The diameter of the bacteria cell is approximately ----------
times smaller than the diameter of the yeast cell.
The approximate diameter of the bacteria cell shows that it would be best represented on the number line by point 2 x 10⁻⁶.
The approximate diameter of the yeast cell is best represented by the point 3 x 10⁻⁶.
Compared to the yeast cell, the approximate diameter of the bacteria cell is approximately 2 times smaller.
What points best represent the diameters of the yeast and bacteria cells?To find the power of 10 that the first whole number needs to be multiplied by, count the number of zeros and the whole number.
The number of zeros and the first whole number for 0.0000021 is 6 so this is the number to multiply 10 by:
= 2 x 10⁻⁶
The same would apply to the number 0.00000398 as there are also five zeros so it becomes:
= 3 x 10⁻⁶
How much larger than the bacteria cell is the yeast cell?You can find this as:
= Diameter of yeast cell / Diameter of bacteria cell
= 0.00000398 / 0.0000021
= 1.89
= 2 approx.
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Multiply. 7x3/4 Enter your answer as an improper fraction, in simplified form.
The simplified form of fraction 21/4 is 3 4/7.
We have,
To multiply 7 by 3/4, you can multiply the numerator (7) by the numerator (3) and the denominator (4) by the denominator (1):
= 7 x 3 = 21 (numerator)
= 1 x 4 = 4 (denominator)
So, the result is 21/4.
However, we can simplify this improper fraction further.
Since 21 and 4 have a common factor of 7, we can divide both the numerator and denominator by 7:
21 ÷ 7 = 3 (numerator)
4 ÷ 7 = 4/7 (denominator)
Therefore,
The simplified form of fraction 21/4 is 3 4/7.
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Is 7/45 a terminting or repeating decimal
7/45 is a non-terminating and repeating decimal.
What is a rational number?A rational number is a number that can be written in the form of p/q where q is not equal to zero.
Example:
1/2 is a rational number because it is terminating.
19/3 is a rational number because it is non-terminating and recurring.
We have,
7/45
= 0.155555555555
This means,
It is non-terminating.
It is a repeating decimal.
Thus,
7/45 is a non-terminating and repeating decimal.
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Would you be more or less likely to take a job in which the type of work is enjoyable to you? Why?
Solve sx+tx=r for x.
Carl Drove the following distance for the XYZ delivery company from January through July 914, 740, 815, 550, 815, 1250, 740 what was the means distance miles
Kate is allowed to work no more than 20 hours a week. She has already worked 13 hours this week. At most, how many more hours CAN she work? Write an inequality and solve.
The number of hours in a week of Kate should be less than or equal to 20. Then the inequality is x + 13 ≤ 20.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.
Kate is allowed to work no more than 20 hours a week.
She has already worked 13 hours this week.
Let in this week, the number of hours remaining will be x.
then the inequality equation will be given as
13 + x ≤ 20
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write the chemical symbol for the ion with 12 protons and 10 electrons
How to graph the function. compare the graph with the graph of f(x)=x
r - 6183 = 6766 Please put answer down below.
Simplify 6 to the power of negative 3 over 6 to the power of 5.
A. 6 to the power of 8
B. 6 to the power of negative 2
C. 1 over 6 to the power of 8
A scuba diver is swimming 15 feet below the water’s surface. The diver swims up slowly at 0.5 feet per second for 4 seconds; and then stops to look at an eel. Finally, the diver swims up for 3 more seconds at 0.4 feet per second. What is the diver’s new depth? Enter your answer in the box.
Answer:
-11.8
Step-by-step explanation:
because the scuba diver was below sea level and the key word is below sea level which is negative
Tyler orders a meal that cost $15 if the tax rate is 6.6% how much will the sales tax be on Tyler's Meal?
Answer:
There would be $ 0.99 sales tax on the meal.
Step-by-step explanation:
Given,
The cost of the meal ordered by him = $15,
sales tax rate percentage = 6.6%,
Thus, the amount of the sales tax = 6.6% of the cost of the meal
= 6.6% of 15
[tex]=\frac{6.6\times 15}{100}[/tex]
[tex]= \frac{99}{100}[/tex]
[tex]= \$ 0.99[/tex]
The sales tax will be $0.99 on Tyler's meal.