Answers
The value of x from the diagram is 50 degrees. Vertical angles are angles that meets at a point of intersection.
Vertical anglesVertical angles are angles that meets at a point of intersection. From the given diagram 150 and 50+2x are vertical angles showing that they are equal to each other. Hence;
50 + 2x = 150
2x = 150 - 50
2x = 100
Divide both sides by 2
2x/2 = 100/2
x = 50
Hence the value of x from the diagram is 50 degrees
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Related Questions
For the functions f(x)=2x^2+3x+9 and g(x)=−3x+10 find (f⋅g)(x) and (f⋅g)(1)
Answers
Step-by-step explanation:
f(x)=2x²+3x+9
g(x) = - 3x + 10
In order to find (f⋅g)(1) first find (f⋅g)(x)
To find (f⋅g)(x) substitute g(x) into f(x) , that's for every x in f (x) replace it by g (x)
We have
(f⋅g)(x) = 2( - 3x + 10)² + 3(- 3x + 10) + 9
Expand
(f⋅g)(x) = 2( 9x² - 60x + 100) - 9x + 30 + 9
= 18x² - 120x + 200 - 9x + 30 + 9
Group like terms
(f⋅g)(x) = 18x² - 120x - 9x + 200 + 30 + 9
(f⋅g)(x) = 18x² - 129x + 239
To find (f⋅g)(1) substitute 1 into (f⋅g)(x)
That's
(f⋅g)(1) = 18(1)² - 129(1) + 239
= 18 - 129 + 239
We have the final answer as
(f⋅g)(1) = 128Hope this helps you
what is the factorization of 2x^2+28+98
Answers
Answer:
[tex]2(x^2+63)[/tex]
Step 1:
To solve this, we have to add the terms without any variables together.
[tex]2x^2+28+98\\2x^2+126[/tex]
Step 2:
To factor this, we have to find the multiples of 2x^2 and 126.
[tex]2x^2 = 2x, x\\126 = 63, 2[/tex]
Now, we can factor these numbers like this:
[tex]2(x^2+63)[/tex]
When we multiply the numbers, we get 2x^2 + 126, and when we separate 126, we get our original question, so that means our factoring is correct.
solve the inequality -2/11 j _< 8
Answers
Answer:
j ≥ -44
Step-by-step explanation:
-2/11 j ≤ 8
Multiply each side by -11/2 to isolate j. Flip the inequality since we are multiplying by a negative
-11/2 * -11/2 j ≥ 8 * -11/2
j ≥ -44
Answer:
[tex]j\geq -44[/tex]
Step-by-step explanation:
The inequality given is:
[tex]\frac{-2}{11}j\leq 8[/tex]
To solve the inequality, we must get the variable j by itself.
j is being multiplied by -2/11. To reverse this, we must multiply by the reciprocal of the fraction.
Flip the numerator (top number) and denominator (bottom number) to find the reciprocal.
[tex]\frac{-2}{11} --> \frac{-11}{2}[/tex]
Multiply both sides of the equation by -11/2.
[tex]\frac{-11}{2} *\frac{-2}{11} j \leq 8*\frac{-11}{2}[/tex]
[tex]j\leq 8*\frac{-11}{2}[/tex]
Since we multiplied by a negative number, we must flip the inequality sign.
[tex]j\geq 8*\frac{-11}{2}[/tex]
Multiply 8 and -11/2
[tex]j\geq 8*-5.5[/tex]
[tex]j\geq -44[/tex]
The solution to the inequality is: [tex]j\geq -44[/tex]
Which represents the solution of the graphed system of equations, y=x^2-2x and y=-2x-1
Answers
Answer:
x = √(-1) = i
Since the value of √(-1) is not real.
The system has no real solution.
Step-by-step explanation:
The solution to the system of equations is at the point where they intercept each other.
y1 = y2
For the given equation;
y=x^2-2x and y=-2x-1
To get the where they intercept, we will equal both equations;
y=x^2-2x = -2x-1
x^2 - 2x = -2x - 1
x^2 - 2x + 2x + 1 =0
x^2 +1 = 0
x^2 = -1
x = √(-1) = i
Since the value of √(-1) is not real.
The system has no real solution.
A research study investigated differences between male and female students. Based on the study results, we can assume the population mean and standard deviation for the GPA of male students are µ = 3.5 and σ = 0.05. Suppose a random sample of 100 male students is selected and the GPA for each student is calculated. What is the probability that the random sample of 100 male students has a mean GPA greater than 3.42?
Answers
Answer: 0.0548
Step-by-step explanation:
Given, A research study investigated differences between male and female students. Based on the study results, we can assume the population mean and standard deviation for the GPA of male students are µ = 3.5 and σ = 0.05.
Let [tex]\overline{X}[/tex] represents the sample mean GPA for each student.
Then, the probability that the random sample of 100 male students has a mean GPA greater than 3.42:
[tex]P(\overline{X}>3.42)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{3.42-3.5}{\dfrac{0.5}{\sqrt{100}}})\\\\=P(Z>\dfrac{-0.08}{\dfrac{0.5}{10}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>1.6)\\\\=1-P(Z<1.6)\\\\=1-0.9452=0.0548[/tex]
hence, the required probability is 0.0548.
PLZ IM ON THE CLOCK!!!!! A sports memorabilia store makes $6 profit on each football it sells and $5.50 profit on each baseball it sells. In a typical month, it sells between 35 and 45 footballs and between 40 and 55 baseballs. The store can stock no more than 80 balls total during a single month. What is the maximum profit the store can make from selling footballs and baseballs in a typical month? $457.50 $460.00 $462.50 $572.50
Answers
Answer:
460
Step-by-step explanation:
Answer:
460
Step-by-step explanation:
Question 14 (5 points)
Which of the following gives the correct intercept points and vertex point for the function f(x) = x2 + 3x - 18?
A. y-intercept: (0,18); vertex point: ( – ; – 20_); xintercepts: (-3, 0) and (6,
0)
B. y-intercept: (0, -18); vertex point: (-1, – 19); x-intercepts: (-3, 0) and (-6,
0)
C. y-intercept: (0, -18); vertex point: ( - 2/3, - 20 1/4); x-intercepts: (3, 0) and (-
6,0)
D. y-intercept: (0, 18); vertex point: (-1, – 19); x-intercepts: (3,0) and (6, 0)
Answers
Answer:
C. y-intercept: (0, -18); vertex point: ( [tex]-\frac{2}{3}[/tex], [tex]-20\frac{1}{4}[/tex]); x-intercepts: (3, 0) and (-
6,0)
Step-by-step explanation:
Hope it helped
Answer:
C. y-intercept: (0, -18); vertex point: ( - 2/3, - 20 1/4); x-intercepts: (3, 0) and (-
6,0)
Step-by-step explanation:
It's a positive parabola, so that means it opens upward. Crossing the x-axis at -6 and 3 it's minimum is -20 and crosses the Y-axis at -18.
surface area of a equilateral by hand
Answers
surface area of a equilateral by hand a 140.4 cm and 9cm
What is the slope of the line x = 4?
Answers
Answer:
slope is undefined
Step-by-step explanation:
x = 4 is the equation of a vertical line parallel to the y- axis.
The slope of a vertical line is undefined
Answer:
Undefined
Step-by-step explanation:
If the line is strait up like x = 4 that means it is undefined.
Which of the following functions is graphed below?
Answers
Answer:
B.
Step-by-step explanation:
The function above the x-axis looks like a parabola, so it must have an x^2 term. It also has an open circle, so it must have a > symbol.
The function below the x-axis has a closed circle, so it must have a <= symbol. It is also a 3rd degree polynomial.
Answer: B.
Each marble bag sold by Carmen's Marble Company contains 3 purple marbles for every 4 blue marbles. If a bag has 28 blue marbles, how many purple marbles does it contain?
Answers
Answer:
21 purple marbles
Step-by-step explanation:
my explanation is i looked at it like a ratio so ¾= x/28
then i took 28 ÷ 4 which equals 7, then i took 7 and multiplied it by 3 which gave me 21, so the answer is 21 purple marbles
Which of the following is an exterior angle of triangle BHE? Yes or no
Answers
Answer:
Im not 100% sure, but I think it is:
No
No
No
Yes
Help, no time left; almost !
Answers
Answer:
x = 50
Step-by-step explanation:
Since the triangle has 2 congruent sides then it is isosceles, thus the base angles are congruent, that is x and x
The sum of the angles in a triangle = 180°, thus
x + x + 80 = 180
2x + 80 = 180 ( subtract 80 from both sides )
2x = 100 ( divide both sides by 2 )
x = 50
what is the measure of SR?
Answers
Answer:
RS = 8
Step-by-step explanation:
Given:
Secant QU = internal secant segment PU + external secant segment PQ = 7 + 9 = 16
Secant QS = internal secant segment RS + external secant segment RQ = (3x - 5) + 8
To find the measure of RS, we need to find the value of x.
Thus, recall the "Two Secant Theorem"
According to the theorem,
(RS + RQ)*RQ = (PU + PQ)*PQ
Thus,
[tex] (3x - 5 + 8)*8 = (7 + 9)*9 [/tex]
[tex] (3x + 3)*8 = (16)*9 [/tex]
[tex] 24x + 24 = 144 [/tex]
Subtract 24 from both sides
[tex] 24x + 24 - 24 = 144 - 24 [/tex]
[tex] 24x = 120 [/tex]
Divide both sides by 24
[tex] \frac{24x}{24} = \frac{120}{24} [/tex]
[tex] x = 5 [/tex]
Plug in the value of x into (3x - 5) to find the measure of RS
RS = 3(5) - 5 = 15 - 7
RS = 8
A movie earned $438 million at the box office in
2013. That is 24% more than book of the same
name earned. Estimate how much the book
earned?
Round your answer to the nearest hundredth of
a million dollars.
Answers
Answer:
332.88 million
Step-by-step explanation:
you do the thing
You can take 76% of 438 to find the answer
The temperature, T^0Celcius, of an object, t minutes after it is removed from a head source, is given byT=55e^((-0.1t) )+15. Find the temperature of the object at the instant it is removed from the heat source.
Answers
Answer:
60°C
Step-by-step explanation:
This is a great example of a problem that looks really complicated, but can be broken down and easily understood!
First, we want to know the temperature the instant it is removed from the heat source. In that case, the time that has elapsed after it has been removed is 0, so we're looking for:
[tex]T(0)=55e^{-0.1(0))}+15=55e^{0}+15[/tex]
Now, any number raised to to the power of zero is 1, so this becomes:
[tex]T(0)=55(1)+15=60[/tex]
For more information on why any number raised to the zero power is 1, I highly recommend researching if it interests you. One of the most intuitive ways is to think of the pattern of exponents:
[tex]3^{3}=3*3*3=27[/tex]
[tex]3^{2}=3*3=9[/tex]
[tex]3^{1}=3[/tex]
You might notice that with each decrease in power, it can be read as dividing the expression by three, so following that pattern gives:
[tex]3^{0}=\frac{3}{3}=1[/tex]
And if we follow the division pattern, we do end up going into negative exponents correctly:
[tex]3^{-1}=\frac{1}{3^{1}}[/tex]
[tex]3^{-2}=\frac{1}{3^{2}}=\frac{1}{9}[/tex]
[tex]3^{-3}=\frac{1}{3^3}=\frac{1}{27}[/tex]
How many solutions does the following equation have? −4(x+5)=−4x−20
Answers
Answer:
Infinite Solution!
Step-by-step explanation:
First, We simplify the right side.
Distribute -4, -4x-20=-4x-20
Now we add +4x to both sides, now the equation stands as -20=-20
We know when the solution is same #= same #. We have infinite solution!
please help me out with these questions. Its trigonometry.
Find the value of the lettered angles
In case the pic's not clear;
[tex] \cos \alpha = \sin(50 + \alpha ) [/tex]
Answers
Answer: i) θ = 30°, 60°, 210°, & 240°
ii) θ = 20° & 200°
Step-by-step explanation:
i) sin (2θ) = cos 30°
[tex]\sin(2\theta)=\dfrac{\sqrt3}{2}\\\\.\quad 2\theta=\sin^{-1}\bigg(\dfrac{\sqrt3}{2}\bigg)\\\\.\quad 2\theta=60^o\qquad 2\theta=120^o\\\\.\quad \theta=30^o\qquad \theta=60^o[/tex]
To include all of the solutions for one rotation, add 360/2 = 180 to the solutions above. θ = 30°, 60°, 210°, 240°
If you need ALL of the solutions (more than one rotation), add 180n to the solutions. θ = 30° + 180n & 60° + 180n
*********************************************************************************************
ii) cos α = sin (50 + α)
Use the Identity: cos α = sin (90 - α)
Use Transitive Property to get: sin (50° + α) = sin (90° - α)
50° + α = 90° - α
50° + 2α = 90°
2α = 40°
α = 20°
To find all solutions for one rotation, add 360/2 = 180 to the solution above.
α = 20°, 200°
If you need ALL of the solutions (more than one rotation), add 180n to the solution. α = 20° + 180n
Which ideas from the excerpt would be most appropriate to include in a summary? Select three options. Popular novels from the past often ask provocative questions that are important to consider today. Many Americans have given up and say that the nation is no longer great or a land of dreams. John Wayne, nicknamed Duke, was an iconic Hollywood actor and filmmaker. President Reagan believed that John Wayne would argue that he was not the last American hero, because there are many more. Duke Wayne died as a symbol of the Hollywood dream industry.
Answers
Answer:
Short answer A,B,D
Step-by-step explanation:
The ideas from the excerpt would be most appropriate to include in a summary are;
Popular novels from the past often ask provocative questions that are important to consider today. Many Americans have given up and say that the nation is no longer great or a land of dreams. President Reagan believed that John Wayne would argue that he was not the last American hero, because there are many more. What is a summary of a passage?Summary is known to be a form of quick or short review of what has happened in a specific passage.
The summary is regarded as a statement that present the main points of a passage as seen above.
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Item 25
The linear function m=45−7.5b represents the amount m (in dollars) of money that you have after buying b books. Select all of the values that are in the domain of the function.
0
1
2
3
4
5
6
7
8
9
10
Item 25
The linear function m=45−7.5b represents the amount m (in dollars) of money that you have after buying b books. Select all of the values that are in the domain of the function.
0
1
2
3
4
5
6
7
8
9
10
Answers
Answer:
5
Step-by-step explanation:
Suppose that your uncle is decorating his house for christmas.He uses 300 strands of lights each containing 150 light bulbs.Each light bulb consumes 4 watts of power. If he illuminates his light for 5 hours a day for 30 days and power in his area sells for $0.08/kWh, how much will he end up paying to light his home for the holidays?
Answers
Answer:
$14.4
Step-by-step explanation:
From the question;
There are 300 strands of light each containing 150 light bulbs. Altogether, there are;
300 x 150 light bulbs = 45000 light bulbs.
Also;
Each bulb consumes 4 watts of power. Since there are 45000 light bulbs, the total power consumed by all the bulbs is;
45000 x 4 watts = 180000watts
Next convert the total power consumed to kW by dividing by 1000. i.e
180000watts = 180kW
Therefore, total power consumed is 180kW
He lights up for 5 hours a day for 30 days. This means that the total number of hours he lights his home for those 30 days is:
30 x 5 hours = 150 hours.
Now since power in his area sells for $0.08/kWh, this means that;
1kWh costs $0.08
Then;
180kWh will cost [180kWh x $0.08 / 1kWh] = $14.4
Therefore, he will end up paying $14.4 to light his home for the holidays.
m−4+m−5 how do I solve this ?
Answers
Answer:
2m - 9
Step-by-step explanation:
To simplify this, we need to combine like terms. m + m = 2m and -4 - 5 = -9 so the simplified version would be 2m - 9.
Mary wants to make brownies to make brownies she needs 7/12 of a cup of flour per batch of brownies if Mary has 7 cups of flour then how many batches of brownies can mary make?
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
12
▹ Step-by-Step Explanation
[tex]7/\frac{7}{12} \\\\= 7 * \frac{12}{7} \\\\= \frac{84}{7} \\\\= 12[/tex]
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
The length of human pregnancies from conception to birth varies accordingly to a distribution that is approximately normal with mean 266 days and standard deviation 16 days. a study enrolls a random sample or 16 pregnant women. what are the mean and standard deviation of the sampling distribution of Xbar? What is the probability the average pregnancy length exceed 270 days?
Answers
Answer:
The answer is below
Step-by-step explanation:
Given that mean (μ) = 266 days, standard deviation (σ) = 16 days, sample size (n) = 16 women.
a) The mean of the sampling distribution of Xbar ([tex]\mu_x[/tex]) is given as:
[tex]\mu_x=\mu=266\ days[/tex]
The standard deviation of the sampling distribution of Xbar ([tex]\sigma_x[/tex]) is given as:
[tex]\sigma_x=\frac{\sigma}{\sqrt{n} } =\frac{16}{\sqrt{16} }=4[/tex]
b) The z score is a measure in statistics used to determine by how much the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]
For x > 270 days:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{270-266}{\frac{16}{\sqrt{4} } }=1[/tex]
The probability the average pregnancy length exceed 270 days = P(x > 270) = P(z > 1) = 1 - P(z < 1) = 1 - 0.8413 = 0.1587 = 15.87%
What would be the Excel Formula to solve this question?
Deb and Rusty know that buying a house will save them money on taxes because they get to deduct the interest they pay to the bank each year and the property taxes they pay each year. First create a separate worksheet from the amortization schedule. Title this worksheet Analysis. In this worksheet, create a column titled Income starting at $90,000 and increasing at 3% for 20 years. What is their income after 20 years?
Answers
Answer:
Income after 20 years = 162550.01
Step-by-step explanation:
In cell B2, enter 90000
In cell B3, enter +B2*1.03
Copy cell B3 to cells B4:B22
Set number format for column B to 2 decimal places.
Read cell B22 = 162550.01
Income after 20 years = 162550.01
Their income after 20 years would be; 72,550 dollars.
What is income tax?Income tax is a tax applied on individuals or entities concerning income or profit earned by them.
The income after 20 years can easily be determine by using compounding
Thus the formula;
Future Value = Present Value (1 + I)^ 20
= 90,000 (1 + 0.03)^ 20
= 162,550 dollars
Income can be determing by subtracting Pv from Fv i.e
Income = 162,550 - 90,000 = 72,550
Calculation on excel sheet;
A B C D
1 90,000 1.03 = A1 x1.03 = C1-A1
2 = D1 1.03 = A2 x 1.03 = C2-A2
20 = D19 1.03 = A20 x 1.03 = A20 - C20
Thus, In work sheet colunm D will show the income on investment.
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What is 4sqrt7^3 in exponential form?
Answers
Answer:
[tex]\boxed{7^{\frac{3}{2} } \times 4}[/tex]
Step-by-step explanation:
[tex]4 (\sqrt{7} )^3[/tex]
Square root can be written as a power.
[tex]4(7^{\frac{1}{2} })^3[/tex]
Multiply the exponents.
[tex]4(7^{\frac{3}{2} })[/tex]
Answer:
A (7^3/4)
Step-by-step explanation:
ed 2020
In the diagram, line a is the perpendicular bisector of KM. Line a is a perpendicular bisector of line segment K M. It intersects line segment K M at point L. Line a also contains point N. Line segment K L is 6 x + 4. Line segment K N is 9 x minus 5. Line segment N M is 7 x + 7. What is the length of KM? 22 units 40 units 44 units 80 units
Answers
Answer:
D. 80 :)
Step-by-step explanation:
The solution is : The value of segment LM is 9x + 5.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
Consider the image below.
A perpendicular bisector is a line segment that bisects another line segment into two equal parts and is perpendicular to this line segment.
So from the diagram below we know:
KL = LM
line a is ⊥ to KM
∠NLK = 90°
Since the angle measure of ∠NKL is not provided we cannot determine the value of x.
So, the value of segment LM is 9x + 5.
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Complete question:
Line a is a perpendicular bisector of line segment K M. It intersects line segment K M at point L. Line a also contains point N. Line segment K L is 9 x +5. Line segment K N is 14 x minus 3. What is the length of segment LM? units
Can someone help me with this one
Answers
Answer:
b^2
------
2a
Step-by-step explanation:
-6ab^3 10b
-------------- * -----------
5a -24 ab^2
Rewriting
-6ab^3 10b
-------------- * -----------
-24 ab^2 5a
Canceling like terms
b 2b
-------------- * -----------
4 a
Canceling the 2 and 4
b b
-------------- * -----------
2 a
b^2
------
2a
Answer:
b²/2a
Step-by-step explanation:
[(-6ab³)/5a]*[(10b)/(-24ab²)]
-60ab^4/-120a²b²= ( when divide ,subtract the exponents)
b²/2a
Find the total area of the prism.
Answers
Answer:
A=1,728
Step-by-step explanation:
To find the area of a prism, you must find the area of one side, then multiply it by so it would be Width*Hight*Depth, W*H*D.
The width is 12, the hight is 12, and the depth is 12 so you can write
A=12*12*12
Multiply 12 by 12
A=144*12
Multiply 12 by 144 to get your final total area
A=1,728
Hope this helps, feel free to ask follow-up questions if confused.
Have a good day! :)
which formula would be used to find the measure of angle 1
Answers
Answer:
Option (4)
Step-by-step explanation:
By the Angle of intersecting secants,
"If two lines intersect outside a circle, then the measure of the angle between these lines or secants will be one half of the difference between the intercepted arcs."
From the picture attached,
Angle between the secants = ∠1
Measure of intercepted arcs are a° and b°.
By this theorem,
m∠1 = [tex]\frac{1}{2}(a-b)[/tex]
Option (4) will be the answer.