Question 9 options:
The angle measures of triangle LMN are given:
The measure of angle L is (5x−10)° .
The measure of angle M is 30°.
The measure of angle N is (11x)° .
What is the value of x?
Answers
Answer:
x = 10 degree
Step-by-step explanation:
Since the sum of the angles of a triangle is 180 degree, you can establish this equation:
180 = 5x-10 + 30 + 11x
180 = 5x + 11x - 10 + 30
180 = 16x + 20
180 - 20 = 16x
160 = 16x
x = 10
Related Questions
someone please answer this its confusing me
Answers
the line AB will be congruent to line DC so 8t + 7 = 9t - 2 which gives you t = 9
line AD will also be congruent to line BC so 4s + 1 = 2s + 25 which gives you s = 12
FOR BRAINLIEST! which expression is the simplest form of - (4x^3+x^2) + 2(x^3-3x^2)?
Answers
step by step
Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is
shown:
RS = √(-4) (-3))² + (7 − 5)²
= √(-1)² + (2)²
= √1 + 4
= √5
-
What error, if any, did Heather make?
A. She substituted incorrectly into the distance formula.
B. She subtracted the coordinates instead of adding them.
C. She made a sign error when simplifying inside the radical.
OD. She made no errors.
Answers
The distance between points R and S is \(\sqrt{ (185)\). The correct answer is D. She made no errors.
Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:
RS = √(-4) (-3))² + (7 − 5)²
= √(-1)² + (2)²= √1 + 4
= √5
The error is with the order of subtraction in the formula for the distance between two points.
Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.
The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;
dAB = \(\sqrt{ ((x^2 - x1)^2 + (y2 - y1)^2)\)
Comparing the given question with the formula above, we have;
A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.
Therefore, we have;
RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)
On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS
= \(\sqrt{ (8^2 + 11^2)RS\)
= \(\sqrt{ (64 + 121)RS\)
= \(\sqrt{ (185)\)
Therefore, the distance between points R and S is \(\sqrt{ (185)\).
From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.
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What plus what equals -8 ?
Answers
Answer:
-4+-4
Step-by-step explanation:
Two number whose sum equal to - 8 are - 11 and 4.
We have to given that,
To find two numbers whose sum equal to - 8.
Now, Let us asume that,
Two numbers are - 11 and 4.
Sum of both numbers are,
- 11 + 4
= - 8
Hence, Two number whose sum equal to - 8 are - 11 and 4.
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What values of x
and y
satisfy the system of equations {8x+9y=−36 x+7y=1}
Enter your answer as an ordered pair, like this: (42, 53)
If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475),
enter it like this: (42/53, 64/75)
If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."
Answers
The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.
To solve the given system of equations:
Equation 1: 8x + 9y = -36
Equation 2: x + 7y = 1
We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:
From Equation 2, we can solve for x:
x = 1 - 7y
Substituting this value of x into Equation 1:
8(1 - 7y) + 9y = -36
8 - 56y + 9y = -36
-47y = -44
y = 44/47
Substituting the value of y back into Equation 2 to find x:
x + 7(44/47) = 1
x + 308/47 = 1
x = 1 - 308/47
x = (47 - 308)/47
x = -261/47
Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).
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I don’t know how to do this problem help me!!
Answers
\(x-9z^5+4z+11+2z^5+14=-5z^5-3z+25\\x=2z^5-7z\)
Therefore, it's \(2z^5-7z\).
10-10=69.420!!!!!!!!!!
which measurement is more precise: 12.3 meters or 16.52 meters ?
Answers
Answer:
16.52
Step-by-step explanation: There are more sig figs
The measurement 16.52 meters is more precise
PrecisionPrecision is how close or dispersed the measurements are to each otherPrecision is the quality, condition, or fact of being exact and accuratePrecision is the quality or state of being precise How to solve this problem?The steps are as follow:.
The measurement is said to be more precise when it has more digit after decimal point.Here, there are given two measurements which are 12.3 meters and 16.52 metersSince there are two digits after decimal points in 16.52 metersThere is only one digit after decimal point in 12.3 meters.There are more digits after decimal point in 16.52 meters so it is more precise than 12.3 meterSo, the measurement 16.52 meters is more precise
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What’s the answer to this?
Answers
Answer:
first one
Step-by-step explanation:
Answer: it is the second one 3 162
Step-by-step explanation:
If 2x+y=4 and 2x-y=8, then what does 3x-y equal?
Answers
THE TRICK IS TO FIND THE VALUE OF X AND Y FIRST.
I WILL USE SUBSTITUTION TO SOLVE THIS SYSTEM OF EQUATIONS.
\(y = 4 - 2x......(3)equation\)
\(2x - (4 - 2x) = 8 \\ 2x - 4 + 2x = 8 \\ 2x + 2x = 8 + 4 \\ 4x = 12 \\ \frac{4x}{4} = \frac{12}{4} \\ x = 3\)
\(y = 4 - 2(3) \\ y = 4 - 6 \\ y = - 2\)
THEN FOR 3X-Y PLUG IN THE VALUES YOU FOUND FOR X AND Y
\( = 3(3) - ( - 2) \\ = 9 + 2 \\ = 11 \\ 3x - y = 11\)
ATTACHED IS THE SOLUTION
Four friends shared 7 chocolate bars. Each of them was given an equal share of the chocolate bars. How many chocolate bars did each person get?
A: 4/7
B : 6/8
C: 1 1/4
D: 1 3/4
Answers
We are given:
There were 7 chocolate bars, evenly shared between 4 friends
Number of Bars one person will get:
Number of bars one person will get = Number of Bars / Number of Friends
Number of Bars = 7 / 4
but since this number does NOT match any of the given options, we will convert it to a mixed fraction
The number of bars one person will get will be \(1\frac{3}{4}\), written as a mixed fraction.
Therefore, the correct answer is option D
Answer:
4 friends =7 chocolate
1 friend =7/4 chocolate =1 3/4 part of chocolate.
How do I show a parallelogram that is not a rectangle with an area of 18 square units( the smallest square on the grid has an area of 1 square unit)
Answers
First, draw a horizontal line segment of length 6 units. Then, draw a vertical line segment of length 3 units starting from the right end of the horizontal segment. Draw another horizontal line segment of length 6 units starting from the top end of the vertical segment, parallel to the first horizontal segment. Finally, draw a vertical line segment of length 3 units starting from the left end of the second horizontal segment, parallel to the first vertical segment. This should form a parallelogram with an area of 18 square units.
The parallelogram should look something like this:
```
+---+
/ /|
+---+ |
| | |
| | +
| |/
+---+
```
The horizontal sides have a length of 6 units, and the vertical sides have a length of 3 units. The area can be calculated as base times height, which in this case is 6 units times 3 units, or 18 square units.
in triangle JKL, angle JKL is a right angle, line KM is an altitude, JL=20, ML=4. Find KM
Answers
9514 1404 393
Answer:
KM = 8
Step-by-step explanation:
The ratio of long side to short side is the same for all of the triangles in this geometry:
KM/ML = JM/KM
KM² = ML·JM = 4(20-4) = 64
KM = √64 = 8
The length of KM is 8 units.
In Bridget's class, 35% of the students chose pizza as their favorite food. If 14 of the students chose pizza as their favorite food, how many students are in the class?
Answers
Answer:
40 students are in the class :)
Step-by-step explanation:
35%=14
1%=14/35=0.4
0.4*100=40=100%
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
Approximate -10 + √30 to the nearest tenth.
O-5.5
O-4.5
04.5
O5.5
Answers
Answer:
(b) -4.5
Step-by-step explanation:
Choosing the correct answer here is not the same as knowing what the correct value is.
EstimateYou know that √30 < √100 = 10, so the sum must be negative. That is, 10 subtracted from a positive number less than 10 will give a negative result.
You know that 25 < 30 < 36, so √25 < √30 <√36. That is, √30 will be between 5 and 6. If we say √30 ≈ 5.5, then the sum is ...
-10 +√30 ≈ -10 +5.5 = -4.5
__
Additional comment
Of course, a calculator can tell you the value to the desired precision.
❗️❗️❗️Find the length of side x in simplest radical form with a rational denominator.❗️❗️❗️
Plzzz helppppp
Answers
Answer:
3
Step-by-step explanation:
In a 30-60-90 triangle, the ratio of the shorter side to the longer side length is \(1:\sqrt{3}\). Therefore:
\(x=\sqrt{3} \cdot \sqrt{3}= \\\\\sqrt{3}^2= \\\\3\)
Hope this helps!
Answer: 3
Step-by-step explanation:
Oh the joys of a 30, 60, 90 triangle, what makes this great is the fact that there is a common ratio. The lengths go as follows:
1 , \(\sqrt{3}\), 2
So in this case the 1 is the \(\sqrt{3}\), and the hypotenuse is 2\(\sqrt{3}\), thats because in a 30, 60, 90 triangle the hypotenuse must always be twice the length of the smallest side in the triangle.
Okay so now we are left with the weird middle side of the triangle. And basically you multiply \(\sqrt{3}\) to \(\sqrt{3}\) = 3.
1 , \(\sqrt{3}\), 2
multiply by \(\sqrt{3}\)
\(\sqrt{3}\), 3, 2\(\sqrt{3}\)
-2log (6x + 1) = -6.
Answers
17. Rob purchased a boat three years ago. The boat decreased by 7% each year. Three years
later, the value of the boat was $32,174.28. Which equation initially models the value of Rob's
boat?
A. y = 40,000(0.93)*
B. y = 40,000(1.07)*
C. y = 32,174.28 (0.93)*
D. y = 32,174.28 (1.07)*
Answers
Answer:
The correct equation that initially models the value of Rob's boat is option A, y = 40,000(0.93)*.
Since the value of the boat decreased by 7% each year, the value of the boat after three years can be represented by:
y = 40,000(0.93)^3
where y is the value of the boat after three years, and 40,000 is the initial value of the boat.
Simplifying this equation, we get:
y = 40,000(0.7951)
y = 31,804
However, we know that the actual value of the boat after three years was $32,174.28. This means that our initial assumption that the boat decreased by 7% each year is incorrect and we need to adjust the equation accordingly.
To find the correct equation, we can use the formula for exponential decay:
y = a(1 - r)^t
where y is the final value, a is the initial value, r is the rate of decay (expressed as a decimal), and t is the time in years.
In this case, we know that the final value of the boat is $32,174.28, and that the boat was owned for three years. We also know that the value of the boat decreased by 7% each year.
So we can set up an equation:
32,174.28 = 40,000(0.93)^3
Simplifying this equation, we get:
32,174.28 = 31,804.00
This equation is approximately true, which means that the initial value of the boat was $40,000 and the correct equation that initially models the value of Rob's boat is:
y = 40,000(0.93)^t
where t is the time in years.
The price of a computer fell 20% this year. If the computer now costs $750, how much did it cost last year?
(step-by-step if possible)
Answers
Answer:
$937
Step-by-step explanation:
P(1-20/100)=750- 1 is the object the you take away the percentage that is in
fraction form
P(1-.2)=75-take it from fraction form to decimal form
P(.8)=750-this is the final product of the equation above
750/.8-Take the current price and the decimal and divide
75000/80- take the .8 and add two 0's to get the whole accurate amount
937.5-Price before the price fell
Sorry I'm not the best at explaining things hoped this helped!
The mean for the data in the dot plot is 5. What is the absolute deviation for the data point at 7?
Answers
Answer:
The answer is 2. Hope this helps!
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Which of the following is a solution of y> Ix| - 5?
O (-4,1)
O (-1,-4)
O (4, -1)
Hurry plz
Answers
Answer:
O (-4,1)
I hope I helped you^_^
What is the perimeter of the figure?
Answers
Answer:
21.2 yd
Step-by-step explanation:
8 + 6 + 7.2 = 14 + 7.2 = 21.2
21.2 yd
To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle.
rewrite without an exponent
Answers
Answer:
\(\frac{1}{3^{4} } \\\\\frac{1}{81}\)
Step-by-step explanation:
Answer: -81, the product would just be 3∧4 but negative
the line Plus shows the differences some students jumped during a field day competition what fraction of the students jumped 5 1/2
Answers
Answer:
⅛
Step-by-step explanation:
Each mark (x) on the plot presents the distance that each student jumped.
There are 24 marks there, so it means there is a total of 24 students whose distance jumped were recorded.
Number of students that jumped 5½ ft = 3
Fraction of the students that jumped 5½ ft = no of students that jumped 5½ ft / total number of students
= 3/24
Simplify/reduce the fraction
= 1/8
The wholesale price of an X-BOX-X is $400.00 .It was then marked up 30% and sold online. What is the online price?
Answers
Answer:
$520
Step-by-step explanation:
1% of x is x times 0.01.
that means 10%of x is x times 0.1.
400 times 0.1 is 40.
40 is 10% of 400.
it was marked up by 30% so we need to times by 3.
40 times 3 is 120.
it was marked up so its addition.
400+120=520
A bottle contains 2 liters. The bottle leaks 80 milliliters of water every 3 minutes
Answers
The full question: A bottle contains 2 liters of water. The bottle leaks 80 milliliters of water every 3 minutes. Will the bottle be empty in 1 hour? Explain why or why not. (1 liter = 1,000)
The bottle will NOT be empty in an hour. However, it will leak 26.6 milliliters in a minute, so 1.596m in an hour.
Hope that helps!
The Function h is defined by the following rule.
h(x) = 2x-2
Complete the function table.
Answers
Answer:
\(\fbox {See below} \downarrow\)
Step-by-step explanation:
\(\textsf {The function is :}\)
\(\boxed {h(x) = 2x - 2}\)
\(\textsf {Finding the missing values :}\)
\(\mathsf {h(-4) = 2(-4) - 2 = -10}\)\(\mathsf {h(-2) = 2(-2) - 2 = -6}\)\(\mathsf {h(1) = 2(1) - 2 = 0}\)\(\mathsf {h(4) = 2(4) - 2 = 6}\)\(\mathsf {h(5) = 2(5) - 2 = 8}\)\(\textsf {The table :}\)
\(\left[\begin{array}{ccc}x&f(x)\\-4&-10\\-2&-6\\1&0\\4&6\\5&8\end{array}\right]\)
a shirt was originally marked as $24.95 rings up at the register as 19.96 what is the percent discount on the shirt
Answers
Answer:
The discount is 20% off
hope this helps!
look at attachment!!!!
Answers
Answer:
x = 5
Step-by-step explanation:
We know that BD = 2x - 1 and BC + CD = BD. Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:
BC + CD = BD
x - 3 + 7 = 2x - 1
x + 4 = 2x - 1
x + 5 = 2x
5 = x
Thus, x = 5
Checking the validity of our answer:
We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:
5 - 3 + 7 = 2(5) - 1
2 + 7 = 10 - 1
9 = 9
Thus, our answer is correct.
You travel in a car at an average rate of 55 miles per hour on the highway and 35 miles per hour in the city.
a. How long does it take you to travel 16.5 highway miles and 7 city miles?
b. How long does it take you to travel 44 highway miles and 28 city miles?
Answers
According to the given information, it takes 0.5 hours to travel 16.5 highway miles and 7 city miles and 1.6 hours to travel 44 highway miles and 28 city miles.
What is the average rate?
The average rate is a measure of the average speed at which something occurs over a period of time. It is calculated by dividing the total amount of something by the total time it took to occur.
The formula for the average rate or average speed is:
Average speed = Total distance traveled / Total time taken
a. To find the time it takes to travel 16.5 highway miles and 7 city miles, we can use the formula:
time = distance/speed
The time it takes to travel 16.5 highway miles is:
time on highway = 16.5 / 55 = 0.3 hours
The time it takes to travel 7 city miles is:
time in city = 7 / 35 = 0.2 hours
The total time it takes to travel both distances is:
total time = time on highway + time in city = 0.3 + 0.2 = 0.5 hours
Therefore, it takes 0.5 hours (or 30 minutes) to travel 16.5 highway miles and 7 city miles.
b. To find the time it takes to travel 44 highway miles and 28 city miles, we can use the same formula:
time on highway = 44 / 55 = 0.8 hours
time in city = 28 / 35 = 0.8 hours
total time = time on highway + time in city = 0.8 + 0.8 = 1.6 hours
Therefore, it takes 1.6 hours (or 96 minutes) to travel 44 highway miles and 28 city miles.
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