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Answers
Step-by-step explanation:
1)
7x+20°+3x=180°{straight angle}
10x=180-20
x=160/10
x=16°
again,
y=7x+20{vertically opposed angle r equal}
7×16+20132°stay safe healthy and happy.Answer:
1. x = 20
y = 120
2. x = 263
Step-by-step explanation:
•••
As AOB is a line,
( 7x - 20 ) + 3x = 180
7x - 20 + 3x = 180
10x - 20 = 180
10x = 180 + 20 = 200
10x = 200
x = 200/10 = 20
Then, as COD is a line,
y + 3x = 180
y + 3(20) = 180
y + 60 = 180
y = 180 - 60 = 120
•••
2. Draw a parallel line AB and CD.
Then,
Angle BAE + Angle y = 180 [Co-interior angles]
56 + y = 180
y = 180 - 56 = 124
Angle DCE + Angle z = 180
41 + z = 180
z = 180 - 41
z = 139
Now, z + y = 139 + 124 = 263
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Related Questions
The number of students attending summer school at a local community college has been decreasing each year by 7%. If 847 students currently attend summer school at this rate continues, find the number of students attending summer school in 4 years.
Answers
Answer:
≈ 634
Step-by-step explanation:
n = 847(1 * .07)^4
n = 847(0.93)^4
n = 633.60005247
n ≈ 634
[tex]\int\{-2+(x^{2} +3x)^(6/5) - x^3} \, dx[/tex]
Answers
Apply sum rule:
- 2dx + (x^2 +3x) 6/5dx = x^3dx
2dx = 2x
(x^2 + 3x) 6/5dx = 6/5 (x^3/3 + 3x^2/2)
x^3dx = x^4/4
-2x + 6/5 (x^3/3 + 3x^2/2) - x^4/4
Add constant
-2x + 6/5 (x^3/3 + 3x^2/2) - x^4/4 + c
If 154 pounds is the lightest weight, then
pounds is the heaviest.
170
163
169
Answers
Answer:
169 Pounds
Step-by-step explanation:
...
What is the length of the diagonal of a non -regulation tennis court with length 20 feet and width 15 feet
Answers
Answer:
25 feet
Step-by-step explanation:
using the sides 20 and 15, use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the 2 side lengths and the diagonal.
[tex]a^{2} +b^{2} =c^{2} \\20^{2} +15^{2} =c^{2} \\400+225=c^{2} \\625=c^{2} \\25=c[/tex]
(no links) Please Help!
Answers
Answer:
Part A: D Part B: B
Step-by-step explanation:
This question is so free
In ΔPQR, the measure of ∠R=90°, QP = 85, RQ = 13, and PR = 84. What ratio represents the cosecant of ∠P?
Answers
Given:
In ΔPQR, the measure of ∠R=90°, QP = 85, RQ = 13, and PR = 84.
To find:
The cosecant of ∠P.
Solution:
In a right angle triangle,
[tex]\text{cosec}\theta =\dfrac{Hypotenuse}{Perpendicular}[/tex]
It is also written as:
[tex]\text{cosec}\theta =\dfrac{Hypotenuse}{Opposite}[/tex]
In triangle PQR, QP is the hypotenuse because ∠R=90°.
[tex]\text{cosec}P =\dfrac{QP}{RQ}[/tex]
[tex]\text{cosec}P =\dfrac{85}{13}[/tex]
Therefore, the required trigonometric ratio is [tex]\text{cosec}P =\dfrac{85}{13}[/tex].
When Rashaad goes bowling, his scores are normally distributed with a mean of 175
and a standard deviation of 13. Using the empirical rule, determine the interval that
would represent the middle 68% of the scores of all the games that Rashaad bowls.
Answers
Answer:
The interval (162, 188)would represent the middle 68% of the scores of all the games that Rashaad bowls.
Step-by-step explanation:
As per the empirical rule of normal distribution, for any normally distributed curve, the values lie between the extreme values i.e
(μ - σ) and (μ + σ).
Given
μ = 175
σ = 13
(μ - σ) = 175 -13 = 162
(μ + σ) = 175 + 13 = 188
Hence the required interval is 162, 188
Pls help!!
Jody has 15 pound bag of potatoes. She uses 3/4 of the bag to make potato salad. How many pounds of potatoes does Jody use for the potato salad?
Answers
Answer:
11.25
Step-by-step explanation:
15x3/4=45/4=11.25pounds
A study was conducted and two types of engines, A and B, were compared. Fifty experiments were performed using engine A and 75 using B. The average gas mileage for A was 36 mpg, and 42 mpg for B. Assume population standard deviations for A and B are respectively 6 and 8. A. Find the point estimate. (2 pts) B. Find the margin of error. (3 pts) C. Construct the 95% confidence interval for the difference of population mean gas mileages for engines A and B and interpret the results(5 pts)
Answers
Answer:
a) -6 mpg.
b) 2.77 mpg
c) The 95% confidence interval for the difference of population mean gas mileages for engines A and B and interpret the results, in mpg, is (-8.77, -3.23).
Step-by-step explanation:
To solve this question, we need to understand the central limit theorem, and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Gas mileage A: Mean 36, standard deviation 6, sample of 50:
So
[tex]\mu_A = 36, s_A = \frac{6}{\sqrt{50}} = 0.8485[/tex]
Gas mileage B: Mean 42, standard deviation 8, sample of 50:
So
[tex]\mu_B = 42, s_B = \frac{8}{\sqrt{50}} = 1.1314[/tex]
Distribution of the difference:
Mean:
[tex]\mu = \mu_A - \mu_B = 36 - 42 = -6[/tex]
Standard error:
[tex]s = \sqrt{s_A^2+s_B^2} = \sqrt{0.8485^2+1.1314^2} = 1.4142[/tex]
A. Find the point estimate.
This is the difference of means, that is, -6 mpg.
B. Find the margin of error
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = zs = 1.96*1.4142 = 2.77[/tex]
The margin of error is of 2.77 mpg
C. Construct the 95% confidence interval for the difference of population mean gas mileages for engines A and B and interpret the results(5 pts)
The lower end of the interval is the sample mean subtracted by M. So it is -6 - 2.77 = -8.77 mpg
The upper end of the interval is the sample mean added to M. So it is -6 + 2.77 = -3.23 mpg
The 95% confidence interval for the difference of population mean gas mileages for engines A and B and interpret the results, in mpg, is (-8.77, -3.23).
Which of the following graphs is the same as y = log1/2x?
Answers
Answer:
x=2^-y
A
Step-by-step explanation:
x | y
1 | 0
2 | -1
4 | -2
Line A passes through the point (-8, 3) and is perpendicular to the line represented by the equation
y = -4x + 9. Line A can be expressed as an equation of the form y = mx + b.
Part A
What is the value of m for line A?
Part B
What is the value of b for line A?
Answers
Answer:
Did u get the answers ?
Step-by-step explanation:
I need help lol
Answer: A: -4 B:-29
Step-by-step explanation:
find 5 consecutive odd numbers where the sum of the first three numbers is 15 greater than the sum of two numbers
Answers
Answer:
The five odd numbers are:
23, 25, 27, 29, and 31
Step-by-step explanation:
A random odd number is written as:
2*n + 1
Where n is an integer.
Then 5 consecutive odd numbers will be:
2*n + 1
2*(n + 1) + 1
2*(n + 2) + 1
2*(n + 3) + 1
2*(n + 4) + 1
Now we want that the sum of the first 3 numbers to be 15 greater than the sum of the two last numbers, then:
(2*n + 1) + (2*(n + 1) + 1) + (2*(n + 2) + 1) = 15 + (2*(n + 3) + 1) + (2*(n + 4) + 1)
Now we just need to solve this for n:
(2*n + 1) + (2*n + 3) + (2*n + 5) = 15 + (2*n + 7) + (2*n + 9)
6*n + 9 = (15 + 7 + 9) + 4*n
6*n - 4*n = 15 + 7 + 9 - 9
2*n = 15 + 7 = 22
n = 22/2 = 11
Then the five numbers are:
(2*11 + 1) = 23
(2*(11 + 1) + 1) = 25
(2*(11 + 2) + 1) = 27
(2*(11 + 3) + 1) = 29
(2*(11 + 4) + 1) = 31
Which graph represents an odd function?
please hurry its timed
Answers
Considering it's definition, an odd function is represented by the second function given.
What defines an odd function?An odd function is defined by the following rule:
f(x) = -f(x).
This means that for example:
If f(1) = -1, then f(-1) = 1.If f(2) = 0, then f(-2) = 0.If f(3) = 5, then f(-3) = -5.The only graph for which this relation is valid in this problem is the second graph, from which all examples off the numeric values were taken, hence an odd function is represented by the second function given.
More can be learned about odd functions at https://brainly.com/question/2284364
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Slope = 4
Y-intercept = -1
Answers
Answer:
y = 4x -1
Step-by-step explanation:
You use the equation y = mx + b
m is the slope, so you just substitute 4 for m, and b is the y-intercept, so you substitute -1 for b
Solve the rational equation:
1 1 1
x-2x+3 5
O A. X=-6.09, x= 5.09
B. There is no solution.
O C. x=-3.09, x= 2.09
D. X=-3, x= 2
Answers
………………. ……………
The solutions for the equation 23 - x² - 2x = 0 are:
x = 4
x = -6
Option A is the correct answer.
We have,
To solve the rational equation:
1/(x - 1) - 1/(x + 3) - 1/5 = 0
We need to find the common denominator and combine the fractions on the left-hand side.
The common denominator is (x - 1)(x + 3)(5).
Multiplying each term by the common denominator:
[(x + 3)(5) - (x - 1)(5) - (x - 1)(x + 3)] / [(x - 1)(x + 3)(5)] = 0
Simplifying:
[5(x + 3) - 5(x - 1) - (x - 1)(x + 3)] / [(x - 1)(x + 3)(5)] = 0
[5x + 15 - 5x + 5 - (x² + 3x - x - 3)] / [(x - 1)(x + 3)(5)] = 0
[5x + 15 - 5x + 5 - x² - 3x + x + 3 ] / [(x - 1)(x + 3)(5)] = 0
Simplifying further:
[23 - x² - 2x ] / [(x - 1)(x + 3)(5)] = 0
Now, we set the numerator equal to zero since a fraction is zero if and only if its numerator is zero:
23 - x² - 2x = 0
To solve the quadratic equation 23 - x² - 2x = 0, we can rearrange it to the standard form:
x² + 2x - 23 = 0
Now, we can solve it using factoring, completing the square, or the quadratic formula. Let's solve it using the quadratic formula:
The quadratic formula states that for an equation in the form
ax² + bx + c = 0, the solutions for x are given by:
x = (-b ± √(b² - 4ac)) / (2a)
For our equation x² + 2x - 23 = 0, the coefficients are a = 1, b = 2, and
c = -23.
Substituting these values into the quadratic formula:
x = (-2 ± √(2² - 4(1)(-23))) / (2(1))
Simplifying:
x = (-2 ± √(4 + 92)) / 2
x = (-2 ± √96) / 2
x = (-2 ± 4√6) / 2
Simplifying further:
x = -1 ± 2√6
Therefore,
The solutions for the equation 23 - x² - 2x = 0 are:
x = -1 + 2√6 = 3.89 = 4
x = -1 - 2√6 = -5.89 = -6
Learn more about equations here:
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what is 5 1/2 + 2 1/7
Answers
Answer:
[tex]7\frac{9}{14}[/tex]
Step-by-step explanation:
5 1/ 2 +2 1/ 7
= 11/ 2 +2 1/ 7
= 11/ 2 + 15/ 7
= 107/ 14
=7 9/ 14
Answer:
7 9/14
Step-by-step explanation:
Combine the whole numbers and fractions together:
(5 + 2) + ( 1/2 + 1/7)
The whole numbers part is:
5 + 2 = 7
For the fractions part:
The Least Common Multiple (LCM) of 2 and 7 is 14. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:
1/2 + 1/7 = 1 × 7 + 1 × 2
--------- ------- = 7 /14 + 2/14 = 7 9/14
2 × 7 + 7 × 2
determine a if x-2 is a factor of f(x)=x^4-3x^3+ax^2-16x+20
Answers
Answer:
x-2 is factor so 2 is zero of f(x) =x^4-3x^3+ax^2-16x+20
Step-by-step explanation:
2^4-3×2^3+a×2^2-16×2+20
solve this Answer is come.THANK YOU.
If (x - 2) is a factor of the polynomial f(x) = x⁴ -3x³ + ax² -16x + 20.
Then the value of a is -17.
What is a polynomial?An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
Given:
A polynomial,
x⁴ -3x³ + ax² -16x + 20.
If x - 2 is a factor the x = 2 is the zeros of the polynomial.
When x = 2,
then,
x⁴ -3x³ + ax² -16x + 20 = 0
2⁴ -3(2)³ + a(2)² -16(2) + 20 =0
48 + 20 + 4a = 0
4a = -68
a = -17
Therefore, the value of a is -17.
To learn more about the Polynomials;
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Find the value of the expression 3+4r+n3 n=1 and r=2
Answers
Answer:
14
Step-by-step explanation:
I'll show you how I did it.
3+4r+n3=?
3+(4*r)+(n*3)=?
3+8+3=?
11+3=14
Jill owe $4 dollars to Jennifer, $4 to Michelle, and $4 to Eileen. How much does she owe altogether?
Answers
Answer:
12
Step-by-step explanation:
4+4+4=12 :)
Answer:12
Step-by-step explanation:
Add the fraction : 3/5 + 5 2/5 + 1/6
Answers
Answer:
37/6 or 6 1/6
Step-by-step explanation:
make all the denominators the same and add the numerators
Which expression is equivalent to7sqrt x^2/ 5 sqrt y^3
?Assume y/=0,
Answers
Answer:
7sq rt = 2.6457513110645907 = sqrt y^3
Step-by-step explanation:
Kong took 15%, percent fewer seconds than Nolan took to complete his multiplication timed test. Kong took 85 seconds.
How many seconds did Nolan take?
Answers
Answer:
Step-by-step explanation:
Which means that Nolan took 100 seconds. This is all from Khan Academy so it's correct!!
THIS QUESTION IS WORTH 50 POINTSMatt and his friends hike 42 mi over a holiday weekend. they hike for 5 hours on saturday, 6 hours on sunday, and 3 hours on monday. they go hiking the following weekend. if they hike at the same rate as they hiked over the holiday weekend, how long will it take to hike 12 mi
Answers
256-x²/4
factorise in process
Answers
Answer:
[tex]16^2-(\dfrac{x}{2})^2=(16+\dfrac{x}{2})(16-\dfrac{x}{2})[/tex]
Step-by-step explanation:
The given expression is : [tex]256-\dfrac{x^2}{4}[/tex].
We need to factorize it.
We know that, 16² = 256
So,
[tex]256-\dfrac{x^2}{4}=(16)^2-(\dfrac{x}{2})^2[/tex]
We know that, [tex]a^2-b^2=(a-b)(a+b)[/tex]
[tex]16^2-(\dfrac{x}{2})^2=(16+\dfrac{x}{2})(16-\dfrac{x}{2})[/tex]
Hence, this is the required solution.
Una persona compra borregos, cabras y puercos jabalí. Son 100 animales vivos en total y paga $100 mil pesos. Cada borrego costó $500 pesos, tres cabras cuestan $4000 y cada puerco jabalí $3500.
Si denotamos con la variable xel número de borregos comprados por la persona, con y el número de cabras y con z el número de puercos jabalí, escribe las ecuaciones que representan las relaciones entre x,y,zde acuerdo a la información proporcionada.
Answers
Answer:
I'm sorry I just need points
Step-by-step explanation:
Can someone help me with this?
Answers
Answer:
add to 180, equal, add to 180, equal
Step-by-step explanation:
<1 + <2 = 180
<1 = <3
<3 + <4 = 180
<2 = <4
-4, 1, 8, 4, 8, 7, 10, -5, -2, 7
Work out the mean temperature
Please help me the homework is due tomorrow
Answers
explain why you rename 4 1/4 to find 4 1/4- 3/4
Answers
Answer:
Because it is a mixed fraction and it should be renamed in order to solve your problem, for the other one CAN NOT be converted into a mixed fraction.
A smartphone costs $250. Sales tax is 7%. What is the total cost, including tax?
The cost of the smartphone, with tax, is $
Answers
Answer:17.5
Step-by-step explanation:
Our output value is 250
We represent the unknown value wit “x”
250= 100%
x= 7%
By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
250/x = 100%/7%
Again, the reciprocal of both sides gives
x/250= 7/100
X= 17.5
17.5=7% of 250
Can someone please help me with both I will mark u brilliant
Answers
Answer: Question 5 is 18
Question 6 is 11
Step-by-step explanation: