Answers
Answer:
A
120
Step-by-step explanation:
With all the parallel lines involved, the central figure is a parallelogram. These 4 sided figures have the odd property of having their opposite angles equal.
What that means, in plain English is that <NRL = <NML
Both of these angles = 120
Here's the cruncher. <NRL and <PRK are vertically opposite. They are therefore equal.
The answer to your question is 120 which is A
the answer is A good luck !
Related Questions
Pls help I am stuck, or having a brain fart I cant tell yet.
Answers
Answer:
-4r³s -3r² +2rs -5
Step-by-step explanation:
The powers of r in each of the terms from left to right are ...
3, 1, 0, 2
Arranging these in descending order gives the sequence of terms ...
-4r³s -3r² +2rs -5
what is the measure of PRQ
Answers
The angle of intersecting chords is found by adding the two arcs intercepted by the angle and dividing that by 2.
PRQ = (102 + 70) / 2
PRQ = 172 /2
PRQ = 86 degrees.
When two chords cross within a circle, the angle created is one-half the total of the arcs intercepted by the angle and its vertical angle. The measure of ∠PRQ is 86°.
What is the Angles of Intersecting Chords Theorem?When two chords cross within a circle, the angle created is one-half the total of the arcs intercepted by the angle and its vertical angle.
The measure of ∠PRQ is,
∠PRQ = (102°+70°)/2
∠PRQ = 172° / 2
∠PRQ = 86°
Hence, the measure of ∠PRQ is 86°.
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A direct variation function contains the points( -8,-6) and (12,9). Which equation represents the function ?
Answers
Answer:
y = (3/4)x
Step-by-step explanation:
1) Find the slope of the line. As we go from ( -8,-6) to (12,9), x increases by 20 and y increases by 15. Thus, the slope, m, is m = rise / run = 15/20 = 3/4
2) Recognize that the y-intercept is zero (0) because this is direct variation; the line goes thru the origin.
3) write the equation of the line: y = mx + b becomes y = (3/4)x
[tex]\bf (\stackrel{x_1}{-8}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{12}~,~\stackrel{y_2}{9}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{9-(-6)}{12-(-8)}\implies \cfrac{9+6}{12+8}\implies \cfrac{15}{20}\implies \cfrac{3}{4}[/tex]
[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-6)=\cfrac{3}{4}[x-(-8)]\implies y+6=\cfrac{3}{4}(x+8) \\\\\\ y+6=\cfrac{3}{4}x+6\implies y=\cfrac{3}{4}x[/tex]
What is the frequency of the function y = 3sin2x
a. 2/3
b. 3
c. 2
d. None of the above.
Answers
Answer:
d. None of the above.
Step-by-step explanation:
The period is the change in x required to make a change of 2π in the argument to the sine function:
2x = 2π
x = π
The frequency is the reciprocal of the period, so is 1/π. There are no matching answer choices.
The frequency of the function y = 3sin(2x) is 2, making the correct answer c. 2.
The frequency of the function y = 3sin(2x) is 2.
To determine the frequency of a sine function, you look at the coefficient in front of the x within the sine function. In this case, the coefficient is 2, so the frequency is 2.
Therefore, the correct answer is c. 2.
s the following relation a function?
x y
1 −2
1 −3
2 1
3 −2
yes
no
Answers
Answer:
no
Step-by-step explanation:
This is not a function because the same x value goes to 2 different y values x=1 goes to both -2 and -3. This would fail the vertical line test
Please answer this question correctly for 25 points and brainliest!!
Answers
Answer:
35°
Step-by-step explanation:
The measure of an inscribed angle is half the measure of the subtended arc.
x = 70°/2 = 35°
Find the tenth term in the following geometric sequence. 8, 4, 2, 1, . . .
a) 13
b) 0.0078
c) 0.0156
d) 12.5
Answers
Answer:
c) 0.0156
Step-by-step explanation:
The general term a[n] of a geometric sequence is given in terms of the first term a[1] and common ratio r as ...
a[n] = a[1]r^(n-1)
The given sequence has an initial term of a[1]=8 and a common ratio of 4/8=1/2. Then the general term is ...
a[n] = 8(1/2)^(n-1)
The 10th term is then ...
a[10] = 8(1/2)^(10-1) = 8(1/2)^9 = 8/512
a[10] = 0.015625 ≈ 0.0156
If you horizontally stretch the quadratic parent function f(x)=x^2 by a factor of 3. What is the equation
Answers
Answer:
G(x)=(1/3x)^2
Step-by-step explanation:
Ap ex
A line is drawn through (–7, 11) and (8, –9). The equation y – 11=-4/3 (x + 7) is written to represent the line. Which equations also represent the line? Check all that apply.
Answers
Answer:
[tex]y=-\frac{4}{3}x+\frac{5}{3}[/tex]
[tex]4x+3y=5[/tex]
Step-by-step explanation:
we have
[tex]y-11=-\frac{4}{3}(x+7)[/tex] -----> equation of the line into point slope form
step 1
Find the equation of the line into slope intercept form
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept (value of y when the value of x is equal to zero)
For x=0
[tex]y-11=-\frac{4}{3}(0+7)[/tex]
[tex]y=-\frac{28}{3}+11[/tex]
[tex]y=\frac{5}{3}[/tex]
therefore
[tex]b=\frac{5}{3}[/tex]
substitute
[tex]y=-\frac{4}{3}x+\frac{5}{3}[/tex] ----> equation of the line into slope intercept form
step 2
Find the equation of the line in standard form
[tex]Ax+By=C[/tex]
we have
[tex]y=-\frac{4}{3}x+\frac{5}{3}[/tex]
Multiply by 3 both sides
[tex]3y=-4x+5[/tex]
[tex]4x+3y=5[/tex] ---> equation of the line in standard form
BRAINLIEST
write the algebraic expression
"the sum of 22 and four times a number"
Answers
The answer would be:
Let n be "a number"
22 + 4n
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
22+4x
Step-by-step explanation:
The number should be x as a letter symbol.
The sum should be add sign.
22+4x is the correct answer.
I hope this helps you, and have a wonderful day!
At Dante party 16 children share 192 crayons. At Maria party 13 children share 234 crayons. Each party splits the crayons equally among the children attending. How many more crayons does each child at Maria's party get than each child at Dante's party?
Answers
Answer:
Each child in Maria's party got 6 crayons more that each child in Dante's party
Explanation:
1- In Dante's party:
192 crayons are equally split among 16 children
This means that:
Each child got [tex]\frac{192}{16} = 12[/tex] crayons
2- In Maria's party:
234 crayons are equally split among 13 children
This means that:
Each child got [tex]\frac{234}{13}=18[/tex] crayons
3- getting the difference:
Difference = 18 - 12 = 6 crayons
This means that:
Each child in Maria's party got 6 crayons more that each child in Dante's party
Hope this helps :)
Will give brainliest
Series to Sigma Notation
Write the following series in sigma notation.
6+10+14+18+22+26+30
Example image shown below.
Answers
[tex]\displaystyle\\\sum_{n=1}^7(4n+2)[/tex]
Driving a piling into a harbor bottom, a pile driver sinks the piling 24 inches on the first stroke, 18 inches on the second stroke, and 13 1/2 inches on the third stroke. If the sequence is continued, how far will the piling be driven down on the 5th stroke?
Answers
Answer:
7.6 inches to the nearest tenth.
Step-by-step explanation:
18/24 = 3/4.
13.5 / 18 = 3/4.
This is a Geometric sequence with common ratio 3/4 or 0.75.
We need to find the fifth term of the sequence.
5th term = a1 (r)^(5 - 1)
= 24 * (0.75)^(5-1)
= 24 * 0.316406
= 7.6 inches.
The piling will be driven down 9 inches on the 5th stroke following the decreasing pattern of the pile driver.
The sequence of the piling being driven down by the pile driver shows a decreasing pattern. To predict the depth on the 5th stroke, we need to identify the pattern of decrease.
First stroke: 24 inches
Second stroke: 18 inches (24 - 6 = 18)
Third stroke: 13.5 inches (18 - 4.5 = 13.5)
Looking at the pattern, the reduction from the first to the second stroke is 6 inches, and from the second to the third stroke is 4.5 inches.
We can infer that the pattern of decrease is by 1.5 inches each time (6 - 4.5 = 1.5). So:
Fourth stroke decrease: 4.5 - 1.5 = 3 inches
Third stroke depth: 13.5 inches
Fourth stroke depth: 13.5 - 3 = 10.5 inches
Fifth stroke decrease: 3 - 1.5 = 1.5 inches
Fourth stroke depth: 10.5 inches
Fifth stroke depth: 10.5 - 1.5 = 9 inches
16. Peter works part time for 3 hours every day and Cindy works part time for 2 hours every day.
a. If both of them get $4.50 an hour, write an inequality to compare Peter’s and Cindy’s earnings.
b. What should Cindy’s per-hour income be so that she earns at least $14 a day? Write an inequality and an explanation of how to solve it.
Answers
Answer:
Part A)
4.50 × 3 > 4.50 × 213.5 0 > 9Part B)
r ≥ 7Explanation:
1) The earnings are calculated multiplying the number of hours by the hourly rate.
2) The hourly rate of both Peter and Cindy is the same: $ 4.50 / hour
3) Let the variable used for computing the number of hours be h.
4) The number of hours Peter works every day is 3 hours, so, using the letter P to name Peter's earnings, the expression to calculate his earnings is:
P = 4.50 × 35) Similarly, the expression to calculate Cindy's earnings would be:
C = 4.50 × 2Answering part A)
You have to write an inequality to compare Peter's and Cindy's earnings:
4.50 × 3 > 4.50 × 213.5 0 > 9This is, the earnings of Peter are greater than the earnings of Cindy.
Part B),
You have to write an inequality to calculate Cindy's per-hour income so that she earns at least $ 14 a day.
Here, C ≥ 14, because the sign ≥ means greater than or equal to, meaning the the earnings are greater than or equal to 14.Thus, since she works 2 hours per day, the inequality becomes 2 × r ≥ $ 14, where r is the per-hour income.To solve it follow these steps:Given: 2r ≥ 14
Divide both sides by 2: r ≥ 14 / 2
Simplify: r ≥ 7
That means that Cindy's per-hour income should be at least $7 and hour so that she earns $14 a day.
The function k(x) = (g · h)(x) is graphed below, where g is an exponential function and h is a linear function.
If g(x) = -3 x , which option below give the formula for h?
A.) h(x) = -3x
B.) h(x) = -2x
C.) h(x) = 2x
D.) h(x) = 3x
Answers
Without the equation for k(x), we can't definitively determine the formula for h(x). However, if we knew k(x), we'd divide it by g(x) (-3x in this case) to find h(x). For instance, if k(x) is 6x, h(x) will be -2.
Explanation:To find the formula for h, we need to divide k(x) by g(x). The formula for the function k should be given in addition to the graph in order for us to solve this. Assuming that g(x) is indeed -3x, we would divide the formula for k(x) by -3x to find h(x). However, without the expression for k(x), we can't definitively select an option for h(x) from your list.
Example:
If k(x) was 6x, and g(x) was -3x, h(x) would be -2. You would find this by dividing k(x), which is 6x, by g(x), which is -3x; resulting in -2. So, for this example, option B would be correct.
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What is the simplest form of the expression below?
[tex]\frac{x^2yz}{y^2}[/tex]×[tex]\frac{y}{2x}[/tex]
A. [tex]\frac{xz}{2}[/tex]
B. [tex]\frac{2x^3z}{y^2}[/tex]
C. [tex]\frac{x^2z}{2y^2x}[/tex]
D. z
Answers
Answer:
[tex]\text{A.}\quad\dfrac{xz}{2}[/tex]
Step-by-step explanation:
[tex]\dfrac{x^2yz}{y^2}\times\dfrac{y}{2x}=\dfrac{x^2yzy}{2xy^2}=\dfrac{1}{2}\cdot\dfrac{x^2}{x}\cdot\dfrac{y^2}{y^2}\cdot\dfrac{z}{1}\\\\=\dfrac{xz}{2}[/tex]
Can someone help me with this question
5 gallons 3 quarts + 4 gallons 2 quarts=?
Answers
Step-by-step explanation:
5 gallons 3 quarts +4 gallons 2 quarts
5.3
+
4.2
=9.5 gallons
Answer: 10 gallons and 1 quart.
Explanation: 5 gallons + 4 gallons = 9 gallons. 3 quarts + 2 quarts = 5 quarts, and 4 quarts make a gallon. So, 10 gallons and 1 quart.
Can anyone help me with this?
Reduce the fraction
Answers
[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\bf \cfrac{-20t^5u^2v^3}{48t^7u^4v}\implies \cfrac{-20}{48}\cdot \cfrac{t^5u^2v^3}{t^7u^4v^1}\implies \cfrac{-5}{12}\cdot \cfrac{v^3v^{-1}}{t^7t^{-5}u^4u^{-2}}\implies \cfrac{-5}{12}\cdot \cfrac{v^{3-1}}{t^{7-5}u^{4-2}} \\\\\\ \cfrac{-5}{12}\cdot \cfrac{v^2}{t^2u^2}\implies \cfrac{-5v^2}{12t^2 u^2}[/tex]
Grading Scale 2 has the following weights- Tests- 60% Quiz- 15% Homework- 10% Final Exam- 15% What do you need to score on the Final Exam to make an 78 in the class if your grades are- Show steps. Test Grades- 85 Quiz- 87 Homework- 68 Final Exam- ??
a. 85(60) + 87(15) + 68(10) + X(15) = 78 X = 49.33
b. 85(6.0) + 87(1.5) + 68(1.0) + X(1.5) = 78 X = 53.62
c. 85(.60) + 87(.15) + 68(.10) + X(.15) = 78 X = 47.67
d. 85(.60) + 87(1.5) + 68(.10) + X(1.5) = 78 X = 35.59
Answers
Answer:
c. 85(.60) + 87(.15) + 68(.10) + X(.15) = 78; X = 47.67
Step-by-step explanation:
The weighted average is the sum of products of score and weight. Choice C has the percentage weights properly expressed as decimal values.
___
The other equations could work if the final score of 78 were weighted by the corresponding equivalent of 100%. (X is wrong in the other choices as well.)
__
The attachment shows the "work". Given that choice C is the only correct equation, we presumed that the value of X was correct. The equation solver confirms this. If you want to do it by hand, compute the sum of products, subtract that sum, then divide by 0.15.
X = (78 -70.85)/.15 = 7.15/.15 = 47 2/3
Find the perimeter and the area of the composite figure
a. What is the approximate perimeter of the concrete region? Use 3.14 for π
b. What is the exact area of the concrete region? Leave answers in terms of π.
Answers
Answer:
Part A) The approximate perimeter of the concrete region is [tex]P=64.66\ yd[/tex]
Par B) The exact area of the concrete region is [tex]A=(8\pi+162.4)\ yd^{2}[/tex]
Step-by-step explanation:
Part A) What is the approximate perimeter of the concrete region?
we know that
The perimeter of the composite figure is equal to
[tex]P=\pi r+2(15.2)+ 11.5+10.2[/tex]
The radius of semicircle is
[tex]r=8/2=4\ yd[/tex]
substitute
[tex]P=(3.14)(4)+2(15.2)+ 11.5+10.2=64.66\ yd[/tex]
Part B) What is the exact area of the concrete region?
we know that
The area of the composite figure is equal to the area of semicircle plus the area of rectangle plus the area of triangle
so
[tex]A=\frac{1}{2} \pi r^{2} +(15.2)(8)+\frac{1}{2}(10.2)(8)[/tex]
The radius of semicircle is
[tex]r=8/2=4\ yd[/tex]
[tex]A=\frac{1}{2} \pi (4)^{2} +(15.2)(8)+\frac{1}{2}(10.2)(8)[/tex]
[tex]A=8\pi+121.6+40.8[/tex]
[tex]A=(8\pi+162.4)\ yd^{2}[/tex]
Translate "Five is less than twenty-three" into a mathematical expression.
Answers
Answer:
5< 23
Step-by-step explanation:
we know that
A mathematical expression of five is 5
A mathematical expression of less is <
A mathematical expression of twenty-three is 23
therefore
"Five is less than twenty-three" is equal to
5< 23
Answer:
5<23
Step-by-step explanation:
Here are some common facts:
* Mathematical expression of five is 5
* Mathematical expression of less is <
* Mathematical expression of twenty-three is 23
Based on the facts given above, we can conclude that:
"Five is less than twenty-three" is equal to
5< 23
Tags: mathematical expression, mathematical expression case study, translation of expressions
Janet and Nadia each play basketball. Nadia has won twice the number of games Janet has. Is it possible for Janet to have won 10 games if the sum of the games Nadia and Janet have won together is 24?
Answers
Answer: It is not possible for Janet to have won 10 games.
Step-by-step explanation:
Let be "x" the number of games Janet won.
We know that Nadia has won twice the number of games Janet has and the sum of the games Nadia and Janet have won together is 24.
Then, we express this situation with this equation:
[tex]x+2x=24[/tex]
So, let's check if it is possible for Janet to have won 10 games. Substitute [tex]x=10[/tex] into the expression:
[tex]10+2(10)=24\\\\10+20=24\\\\30=24\ (This\ is\ not\ true)[/tex]
Therefore, it is not possible for Janet to have won 10 games.
Answer:
not possible
Step-by-step explanation:
Let be "x" the number of games Janet won.
We know that Nadia has won twice the number of games Janet has and the sum of the games Nadia and Janet have won together is 24.
Then, we express this situation with this equation:
So, let's check if it is possible for Janet to have won 10 games. Substitute into the expression:
Therefore, it is not possible for Janet to have won 10 games.
(.......) is an example of :?
Answers
For this case we have that by definition the distributive property establishes:
[tex](a + b) (c + d) = ac + ad + bc + bd[/tex]
We have the following expression:
[tex](y ^ 2 + y) (x ^ 4 + 3x ^ 3-2x ^ 3) =[/tex]
Applying the distributive property we have:
[tex]y ^ 2 (x ^ 4 + 3x ^ 3-2x ^ 3) + y (x ^ 4 + 3x ^ 3-2x ^ 3)[/tex]
So, the given example is an example of distributive property.
ANswer:
Option B
How to find the distance between two points
Answers
Answer:
Use the distance formula:
d = sqrt. ( y2 - y1)^2 + (x2 - x1)^2)
Please mark me brainliest :D Thanks!!
How do I find the length of the sides of a right triangle?
Answers
Answer:
A^2+B^2=C^2
Step-by-step explanation:
(A)^2+(B)^2+(A)+(B)+2Cos(a)=C^2
Answer:
with a ruler?
If a plane flies 900 mph in calm air and the rate of the wind is r miles per hour then the rate of the plane flying with the wind can be represented as
Answers
The number if marbles of different colors stored in a hat is listed below: 4 red marbles 10 green marbles 7 blue marbles. Without looking in the hat, dan takes out a marble at random. He replaces the marble and then takes out another marble from the hat. What is the probability that dan takes out a blue marble in both draws?
Answers
Answer:
1/9
Step-by-step explanation:
There are a total of 21 marbles. In the first draw, there are 7 blue marbles out of 21. In the second draw, since he replaces the marble, there are still 7 blue marbles out of 21. So the probability is:
P = (7/21)²
P = 1/9
Solve for n. 6n − 7 = 11
a. 3
b. -3
c. -1/3
d. 1/3
Answers
[tex]
6n-7=11 \\
6n=18 \\
n=\boxed{3}
[/tex]
The answer is a.
Hope this helps.
r3t40
how many times greater is the value of the digit 8 in 82.77 than the value of the digit 8 in 20.18
answers
1. 10 times
2. 100 times
3. 1,000 times
4. 10,000 times
if you know the answer plz answer fast I am timed on this test
Answers
Answer:
Option 3. 1,000 times
Step-by-step explanation:
we know that
The value of digit 8 in 82.77 is equal to 80
The value of digit 8 in 20.18 is 0.08
so
Divide 80 by 0.08
80/0.08=1,000 times
The value of the digit 8 in 82.77 is greater than and the value of the digit 8 in 20.18 by 1000.
The value of each digit in 82.77 is:
8 = tens
2 = units
7 = tenth
7 = hundredth
The value of each digit in 20.18 is:
2 = tens
0 = units
1 = tenth
8 = hundredth
The value of 8 in 82.77 is tens(10) and the value of 8 in 20.18 is hundredth (0.01).
Difference in value = 10 / 0.01 = 1000
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Need help with finding the value of x
Answers
a^2 + b^2 = c^2
7.8^2 + x^2 = 8.8^2
60.84 + x^2 = 77.44
x^2 = 16.6
x = 4.1cm
Answer:
The value of x = 4.1 cm
Step-by-step explanation:
From the figure we can see a circle, with chord 15.6 cm
A right angled triangle with hypotenuse 8.8 cm
To find the value of x
By using Pythagorean theorem,
Base² + Height² = Hypotenuse²
Here Base = x, Height = 15.6/2 = 7.8 cm and Hypotenuse = 8.8 cm
x² + 7.8² = 8.8²
x² = 8.8² - 7.8²
= 77.4 - 60.84
= 16.56
x = √16.56 = 4.07 ≈ 4.1 cm
Therefore the value of x = 4.1 cm