Answers
The measures in this problem are given as follows:
1. x = 14.
2. m < 1 = 58º.
3. m < 2 = 122º.
How to obtain the measures?Angles 1 and 2 are supplementary, as the angle 1 and the consecutive interior angle with angle 2 are corresponding angles, meaning that they are congruent, and then the angles are supplementary with their consecutive interior angles.
When two angles are supplementary, the sum of their measures is of 180º, hence the measure of x is obtained as follows:
m < 1 + m < 2 = 180
2x + 30 + 8x + 10 = 180
10x + 40 = 180
10x = 140
x = 140/10
x = 14.
Then the angle measures are obtained as follows:
m < 1 = 2(14) + 30 = 58º.m < 2 = 8(14) + 10 = 122º.More can be learned about parallel and transversal lines at https://brainly.com/question/24607467
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Related Questions
PLEASE HELP ME SOLVE THIS.
STEP-BY STEP
THANK YOU !!!
I really don't know how to calculate this question.
(3 tan 45°)(4 sin 60°)-(2 cos 30°)(3 sin 30°)
Answers
Answer:
[tex]9\,\sin(60^\circ)[/tex], which is equal to [tex]\displaystyle \frac{9\sqrt{3}}{2}[/tex].
Step-by-step explanation:
An angle of [tex]45^\circ[/tex] corresponds to an isosceles right triangle: the length of the two legs (adjacent and opposite) would be equal. Accordingly:
[tex]\displaystyle \tan(45^\circ) = \frac{\text{Opposite Leg}}{\text{Adjacent Leg}} = 1[/tex].
Let [tex]A[/tex] denote the measure of an angle. Double-angle identity for sine:
[tex]2\, \sin(A) \cdot \cos(A) = \sin(2\, A)[/tex].
By this identity:
[tex]\begin{aligned}& (2\, \cos(30^\circ)) \cdot (3\, \sin(30^\circ)) \\ &= 3\, (2\, \cos(30^\circ) \cdot \sin(30^\circ)) \\ &= 3\, \sin(2 \times 30^\circ) \\ &= 3\, \sin(60^\circ)\end{aligned}[/tex].
([tex]A = 30^\circ[/tex] in this instance.)
Hence:
[tex]\begin{aligned}&(3\, \tan(45^\circ)) \cdot (4\, \sin(60^\circ)) - (2\, \cos(30^\circ)) \cdot (3\, \sin(30^\circ)) \\ &= 12\, \sin(60^\circ) - 3\, \sin(60^\circ) \\ &= 9\, \sin(60^\circ)\end{aligned}[/tex].
[tex]\displaystyle \sin(60^\circ) = \frac{\sqrt{3}}{2}[/tex]. Therefore, [tex]\displaystyle 9\, \sin(60^\circ) = \frac{9 \sqrt{3}}{2}[/tex].
Evaluate 5 + 8x when x = 2
Answers
I’ll mark you if you get the right answer and I have another problem so if you can find it pls help!
Answers
Answer:
D
Step-by-step explanation:
1/2 * 3/4 equals 0.375 which is less than .5
.5= 1/2
so therefore, im right i guess.
According to the U.S. Census Bureau, 11% of children in the United States lived with at least one grandparent in 2009 (USA TODAY, June 30, 2011). Suppose that in a recent sample of 1550 children, 214 were found to be living with at least one grandparent. At a 2% significance level, can you conclude that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
Answers
Answer:
The pvalue of the test is 0.0001 < 0.02, which means that we reject the null hypothesis and accept the alternate hypohteis that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%.
Step-by-step explanation:
Proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
This means that the null hypothesis is:
[tex]H_0: p = 0.11[/tex]
And the alternate hypothesis is:
[tex]H_a: p > 0.11[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.11 is tested at the null hypothesis:
This means that [tex]\mu = 0.11, \sigma = \sqrt{0.11*0.89}[/tex]
Suppose that in a recent sample of 1550 children, 214 were found to be living with at least one grandparent.
This means that:
[tex]n = 1550, X = \frac{214}{1550} = 0.1381[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.1381 - 0.11}{\frac{\sqrt{0.11*0.89}}{\sqrt{1550}}}[/tex]
[tex]z = 3.54[/tex]
Pvalue of the test and decision:
This is the probability of finding a sample proportion above 0.1381, which is 1 subtracted by the pvalue of Z = 3.54.
[tex]z = 3.54[/tex] has a pvalue of 0.9999
1 - 0.9999 = 0.0001
The pvalue of the test is 0.0001 < 0.02, which means that we reject the null hypothesis and accept the alternate hypohteis that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%.
When there is no solution when solving a quadratic equation with the quadratic formula, how does it affect the x-intercept of a parabola?
Answers
Answer:
Step-by-step explanation:
it just means that the parabola never touches the x axis is all
Find the value of the variables or indicated side length in each isosceles triangle.
Answers
Answer:
x = 9°
y = 39°
Step-by-step explanation:
7x = 63
x = 9°
3y + 63 = 180
3y = 117
y = 39°
Find the amount of tax and the tax rate. Round to nearest hundredth of a percent.
Cost of item: $52
Selling price: $71.97
Answers
Answer:
Amount of Tax = $19.97
Tax Rate = 28%
Step-by-step explanation:
Amount of Tax = $71.97 - $52 = $19.97
Tax Rate = 19.97/71.97 × 100
= 0.28 × 100 = 28%
Expand 68*104.........
Answers
Answer:
7072
Step-by-step explanation:
hello any one whant to be my freind
Answers
Answer:
sure
Step-by-step explanation:
Answer:
forever and always
Step-by-step explanation:
Write an expression to represent the perimeter of the figure below. Simplify. pls helpp
Answers
Step-by-step explanation:
perimeter of a rectangle is 2(length + width)
p= 2[ (2x -3) + (x+2 )]
combines like terms
p = 2 ( 3x -1 )
p = 6x -2
Find the sum of the first 36 terms of the following series, to the nearest integer. 9,12,15
Answers
Answer:
3885
Step-by-step explanation:
The sum of the first 35 terms will be 3885.
What is an arithmetic progression?The sequence in which every next number is the addition of the constant quantity in the series is termed as the arithmetic progression.
A number series is a number-based sequence. In the number series questions, we must identify the rules that lead to the formation of a number series.
Given that the series is 9, 15, 21, ..., The 35th term of the sequence will be calculated as,
Sn = n /2 [ ( 2a + ( n - 1 ) d]
Sn = 35 / 2 [ ( 2 x 9 + ( 35 - 1 ) 6)]
Sn = 35 /2 { 18 + ( 34 x 6 ) ]
Sn = 35 / 2 x 222
Sn = 3885
Hence, the sum of the 35 terms of the series will be 3885.
To know more about an arithmetic progression follow
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Determine which polynomial is a perfect square trinomial. Explain your answer.
Group of answer choices
A. 49x2 − 28x + 16
B. 9a2 − 30a + 25
C. 25b2 − 45b − 81
D. 16x2 − 24x − 9
Answers
Answer:
The answer is B. 9a2-30a+25
Step-by-step explanation:
First of all, the second sign is going to be +, so you can toss out C and D without checking.
Then you take the square root of the two ends, multiply them, multiply by two and see if it matches.
sqrt(49) * sqrt(16) = 7 * 4 = 28
28 * 2 = 56
56 <> 28
So toss A.
sqrt(9) * sqrt(25) = 3 * 5 = 15
15 * 2 = 30
So the answer is B
(3a - 5)^2 = 9a^2 - 30a + 25
By the way, use ^ to indicate an exponent.
Find the lateral surface area of the prism below in square yards.
Answers
Answer:
Step-by-step explanation:
Answer: 14*2 * 3
=> 6 * 14
=> 84Please mark as brainliest for further answers :)12. Dua garis sejajar dipotong oleh sebuah garis
maka jumlah besar sudut dalam sepihak
sama dengan....
a. 360
b270
c180
d.90
Answers
Answer:
I do not know the Answer I'm just trying to get my point
Step-by-step explanation:
Thank you
Thank you
What can you tell about the mean of each distribution
1) There is a LARGE DIFFERENCE in the mean number of stray cats placed in homes by a New Leash on Life Animal Clinic each week and the mean number of stray cats placed in homes by No Ruff Stuff Animal Hospital each week.
2) There is a SMALL DIFFERENCE in the mean number of stray cats placed in homes by A New Leash on Life Animal Clinic each week and the mean number of stray cats placed in homes by No Ruff Stuff Animal Hospital each week
3) A New Leash on Life Animal Clinic placed more stray cats in homes than No Ruff Stuff Animal Hospital each week
4) No Ruff Stuff Animal Hospital placed more stray cats in homes than A New Leash on Life Animal Clinic each week
Answers
Answer: there is a small difference in the main number of stray cats placed in homes buy a new lease on life animal clinic each week and they’re mean number of stray cats place in homes by no raft staff animal hospital each week
Step-by-step explanation:
Answer:
There is a small difference in the mean number of stray cats placed in homes by A New Leash on Life Animal Clinic each week and ... each week.
Step-by-step explanation:
I got it right.
(two graphs: almost overlapped)
Same-side interior angles always add
up to 180°. If <4 and 46 are same-side
interior angles, what is the measure of «6?
t
44=123°
46 = [?]
o
46
Answers
Answer:
Solution given;
<6+ 4=180[co interior angle]
<6=180-123
<6=57° is your answer
if x=2y - 1 and 2x3y + 2, then x = ?
Answers
Answer:
the value of x is 7
Step-by-step explanation:
The computation of the value of the x is given below:
Given that
x = 2y - 1...........(1)
2x = 3y + 2.................(2)
Put the equation 1 in equation 2
i.e.
2(2y - 1) = 3y + 2
4y - 2 = 3y + 2
y = 4
So,
x = 8 - 1
= 7
Hence, the value of x is 7
NEED ANSWER ASAP,BRAINLIEST FOR CORRECT ANSWER. IM FAILING SCHOOL
Answers
Answer:
Step-by-step explanation:
D and F are alternate exterior angles
A , D , F , G are exterior angles. In this that are on the opposite sides are alternate exterior angles.
Alternate exterior angles:
1) D and F
2) A and G
The American Heart Association is about to conduct an anti-smoking campaign and wants to know the fraction of Americans over 33 who smoke. Step 1 of 2: Suppose a sample of 1267 Americans over 33 is drawn. Of these people, 913 don't smoke. Using the data, estimate the proportion of Americans over 33 who smoke. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answers
Answer:
The estimate for the proportion of Americans over 33 who smoke is 0.28.
Step-by-step explanation:
Proportion of Americans over 33 who smoke.
Number who smoke divided by the size of the sample.
In this question:
Sample of 1267.
913 don't smoke, so 1267 - 913 = 354 smoke. Then
[tex]p = \frac{354}{1267} = 0.28[/tex]
The estimate for the proportion of Americans over 33 who smoke is 0.28.
A competitive cliff diver jumps into
water 81 feet below. The distance d that the diver falls
in t seconds is given by the equation d = 16t^2. How
long does it take the diver to hit the water?
Answers
Answer:
2.25 seconds
Step-by-step explanation
[tex]d=16t^{2}[/tex]
[tex]d=81 feet\\t=?[/tex]
Because you know what distance equals you can plug it into the equation
[tex]81=16t^{2}[/tex]
From there you can solve by dividing the 16 over and then square rooting.
[tex]\frac{81}{16}=t^{2}[/tex]
[tex]5.0625=t^{2}[/tex]
You take the square-root to get rid of [tex]t^{2}[/tex]
[tex]\sqrt{5.0625} =\sqrt{t}^{2}[/tex]
[tex]t=2.25[/tex]
4th grade math please help
Answers
Answer:
Number one is D and Number 3 is also D
Step-by-step explanation:
Answer:
Hi
Step-by-step explanation:
Can someone help me please
Answers
Answer:
B
Step-by-step explanation:
A to B is a straight line and so is C to D
Answer:
B is the right answer
Step-by-step explanation:
I have did this before b
Which is another way to write this number? (3 x 1,000) + (3 x 10) (3 x 1/100) + (3 x 1/1000)
Answers
Answer:
3030.033 is another way to write the number
Which number is the additive inverse of
-472
-44
1
45
Answers
-472 would be 472
-44 would be 44
1 would be -1
45 would be -45
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 20,10,5
Answers
Answer:
arithmetic, divide by 2
Step-by-step explanation:
Answer:
This is a geometric sequence and the common ratio is equal to 1/2
Please help me i dont know what to do
Answers
Answer:
Help you with what?
rewrite the exponential function vsf(x) = 3 x so that the function is shifted three units to the right
Answers
Answer:
Step-by-step explanation:
To investigate the relationship between the selling price of a house, y , in dollars, and the size of the house x, in square feet, a local builder collected data on a random sample of 120 houses from a certain region. Assume that the conditions for inference for the slope of a regression line are met. The resulting 95 percent confidence interval for the population slope of the regression line relating price and size is given by (62,99). The local builder claims that the selling price of houses from the region increases by $104 for every extra square foot of space in the house. Which of the following best describes the conclusion that can be reached about this claim based on the confidence interval?
a. The claim is supported by the interval, since the interval does not contain the value 0.
b. The claim is supported by the interval, since all values in the interval are positive.
Ñ. The claim is supported by the interval, since the interval does not contain the value 104.
d. The claim is not supported by the interval, since the interval does not contain the value 0.
e. The claim is not supported by the interval, E since the interval does not contain the value 104.
Answers
Answer:
E) The claim is not supported by the interval, since the interval does not contain the value 104.
Step-by-step explanation:
A claim that the selling price increases by $104 for each square foot increase in space is not supported by the interval. The interval represents plausible values for the slope of the regression line, and the interval does not include the value 104.
The weekly average earnings of his drivers in a city is $980 with a standard deviation of $47. Assume that we select a random sample of 81 bus drivers. Compute the standard error of the mean
Answers
Answer: do the math, and after that know the definition of what the mean is and it will help you, its best to understand something.
Step-by-step explanation:
y
(0.1)
Find the coordinates of the point (x, y)
shown on the unit circle.
X=?
Y=?
Answers
Answer:
the coordinates of the point of x and y is -1÷ 2 and -√3÷ 2
Step-by-step explanation:
The computation of the coordinates of the point is shown below:
The angle is
= 4π ÷ 3
The radius is 1 unit
Now
x = rcos[tex]\theta[/tex], and y = rsin[tex]\theta[/tex]
Now
x = 1cos(4π ÷ 3) = -1÷ 2
y = 1sin(4π ÷ 3) = -√3÷ 2
hence, the corordinates of the point of x and y is -1÷ 2 and -√3÷ 2
Answer: x= -1/2 y= -root3/2
Step-by-step explanation: