Answers
Answer:
x = 60°
Step-by-step explanation:
First find <E by applying the angles of intersecting chords theorem.
Based on the theorem, we would have the following equation:
m<E = ½(arc CA + arc BD)
Substitute
m<E = ½(170° + 70°)
m<E = ½(240)
m<E = 120°
Let's find x:
x = 180° - m<E (supplementary angles)
x = 180° - 120° (substitution)
x = 60°
Related Questions
Composite scores on the ACT are normally distributed with a mean of 21 and a standard deviation of 5. find the Z score for a student that gets a 31
Answers
Answer:
[tex]Z = 2[/tex]
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 21 and a standard deviation of 5.
This means that [tex]\mu = 21, \sigma = 5[/tex]
Find the Z score for a student that gets a 31
This is Z when X = 31. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{31 - 21}{5}[/tex]
[tex]Z = 2[/tex]
Hey guys can you please help me?? Thank you!
Answers
44+51=95
180-95=85
85/17=5
answer: 5
Answer:
17x+44+51 = 180
x=5
Step-by-step explanation:
The angles in a triangle add to 180, so set up the equation by adding the measures of each angle on one side and putting 180 on the other side, then solve:
17x+44+51 = 180
17x+95=180
17x=85
x=85/17=5
Hope this helps :)
plz help i will give brainliest!! and if you post a link im going to report you
Answers
Answer:
hey, sorry i cant see the image so whats the problem here? i would gladly help!
Step-by-step explanation:
Consider the sequence 1, 3, 9, 27, 81, … Which statement describes the sequence? The sequence diverges. The sequence converges to 1. The sequence converges to ∞. The sequence converges to –∞.
ANSWER: A
Answers
Answer:
a
Step-by-step explanation:
just took it!
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary
Answers
Answer:
5. 10 cm
6. 12 in
7. 5 mi
8. 13 cm
Step-by-step explanation:
5. 6² + 8² = x²
36 + 64 = x
36 + 64 = 100
√100 = 10
6. 15² - 9² = x²
225 - 81 = 144
√144 = 12
7. 3² + 4² = x²
9 + 16 = x
9 + 16 = 25
√25 = 5
8. 12² + 5² = x²
144 + 25 = x
144 + 25 = 169
√169 = 13
Consider this expression (x+9)(x-2)-9×_6
What expression is equivalent to the given expression
Answers
Answer:
x^2 -2x-24
Step-by-step explanation:
Answer: (x+4)(x-6)
Step-by-step explanation: Plato Answer
The ratio of Alex's toy cars to Jim's is 8:3. How many toy cars do they have altogether, if Alex has 40 more cars than Jim?
Answers
Answer:
88
A:J
8:3
a - 40 = j
8y - 40 = 3y
5y = 40
y = 8
8 *11 = 88
Step-by-step explanation:
Hope i helped! have a nice day
Answer:
88
Step-by-step explanation:
I know this because I used a secret method my parents told me that I can't tell anyone.
How many different 10-letter arrangements are possible using the letters in the word AUTOMOBILE?
Answers
Answer:
1,814,400
Step-by-step explanation:
the formula would be: nPr / x_1 ! x_2!....
since there are 2 O's and it is a 10-LETTER ARRANGEMENT, the equation would now be:
10P10 / 2!
10P10 would simplify down to 10! so you would have :
10! / 2!
if you simplify this above: you would get 1,814,400
A recipe for pancakes requires 3/4 cup of oil. If Mr. Darcy wants to triple the recipe, how much oil will he need?
Answers
Answer:
2.25, or 2 1/4 or 9/4.
Step-by-step explanation:
3/4 times 3 = 9/4
The price of a video game was reduced from $60 to $45. By what percentage was the price of
the video game reduced?
F 15%
G 25%
H 75%
4096
Someone please help
Answers
Answer:
G. 25%
Step-by-step explanation:
given : The price of a video game was reduced from $60 to $45 .
$60 - $45 = $15
then, the percentage was the price of the video game reduced :-
reduction in price/previous price x 100 = 15/60 x 100 = 25%
the percentage was the price of the video game reduced = 25%
if the radius of an argon atom is 0.0000000000098m, write in scientific notation
Answers
Answer:
90
Step-by-step explanation:
The following confusion matrix for a classification method with Class 0 and Class 1 was found by Data Mining: Confusion Matrix Predicted Class Actual Class 0 1 0 105 53 1 32 110 What are the percent error rates for Class 0 and Class 1? a. 31.65% and 22.54%, respectively b. 33.54% and 22.54%, respectively c. 10.71% and 41.25%, respectively d. 45.37% and 46.67%, respectively
Answers
Answer:
b. 33.54% and 22.54%, respectively
Step-by-step explanation:
Confusion Matrix
Predicted Class
Actual Class 0 1 Total
0 105 53 158
True Positive False Negative
TP FN
1 32 110 142
False Positive True Negative
FP TN
Total Error Rate = FN +FP/ P +N
Total Error Rate = 53+32/ 105+32+53+110
Total Error Rate = 85/300 = 28.33%
Error Rate for Class 0 = FP/ FP+TP= 32/142 = 22.53%
Error Rate for Class 1= FN/ FN+TP= 53/ 158= 33.54%
The water level at a local pier rises and falls with the tide. Yesterday, the maximum depth of the water at the pier was 8 feet, and the minimum depth was 4 feet. High tide occurred at 12:00 am and low tide occurred at 12:20 pm. Which function models the depth, in feet, of the water at the pier yesterday, as a function of the time t in minutes past high tide?
Answers
Answer: C, Bottom Left
Step-by-step explanation:
The function that models the depth, in feet, of the water at the pier yesterday, as a function of the time t in minutes past high tide is: 2 cos(π/740t)+6.
What is function model?Amplitude
A = 8 - 6
A = 2 ft
Average depth
A = (4 + 8)/2
A = 6 ft
Hence:
A+B=8
-A+B=4
1/2t=12×60×20=740
w=2π/t=π740
When t=0
d=2sin4+6=8
4=π/2
Hence:
d(t)=2 sin(π/740t + 4)+6
2 cos(π/740t)+6
Therefore the function that models the depth, in feet, of the water at the pier yesterday, as a function of the time t in minutes past high tide is: 2 cos(π/740t)+6.
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What percent of 80 is 20? Answer pla
Answers
Answer:
25%
Step-by-step explanation:
[tex] \frac{20}{80} = \frac{1}{4} = 0.25 = 25\%[/tex]
The height of the equilateral triangle below is 15 units. What is the value of x?
An equilateral triangle is shown. A perpendicular bisector cuts the triangle into 2 equal parts. They hypotenuse has a measure of x.
15 StartRoot 3 EndRoot
30 StartRoot 3 EndRoot
StartFraction 15 Over StartRoot 3 EndRoot EndFraction
StartFraction 30 Over StartRoot 3 EndRoot
Answers
Answer: b
Step-by-step explanation: on edge
Answer: C. 30 StartRoot 3 EndRoot
Step-by-step explanation:
Took the test/exam
What is the slope of the line below? If necessary, enter your answer as a
fraction in lowest terms, using the slash ( 1 ) as the fraction bar. Do not enter
your answer as a decimal number or an equation.
Answers
The slope of line shown in the graph is 1.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have two points from the graph as (8, 8) and (5, 5)
So, the slope of line
Slope = (5- 8)/ (5-8)
slope= (-3)/ (-3)
slope = 1
Also, rise 3 units and run 3 units
Then, slope= Rise/ Run
slope= 3/3
Slope= 1
This, the required slope is 1.
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27. A bag contains 2 red and 4 yellow apples. Brandon selects 2 apples at random. What
is the probability that he has chosen 2 yellow apples?
Answers
Answer:12/30
Step-by-step explanation:
Total apple =6
Yellow apples = 4
4/6
3/5
(4/6)*(3/5)= 12/30
A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained if she wishes the estimate to be within three percentage points with 99% confidence, assuming that (a) she uses the estimates of 22.6% male and 18.1% female from a previous year
Answers
Answer:
A sample size of 1380 should be obtained.
Step-by-step explanation:
Minimum sample size:
The minimum sample size is of:
[tex]n = (\frac{z}{E})^2(p_1(1-p_1) + p_2(1-p_2))[/tex]
In which z is the critical value, related to the confidence level, E is the desired margin of error, [tex]p_1[/tex] and [tex]p_2[/tex] are the proportions.
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
Estimates of 22.6% male and 18.1% female from a previous year
This means that [tex]p_1 = 0.226, p_2 = 0.181[/tex].
Within 3 percentage points, minimum sample size:
This is n for which [tex]E = 0.03[/tex]. So
[tex]n = (\frac{z}{E})^2(p_1(1-p_1) + p_2(1-p_2))[/tex]
[tex]n = (\frac{1.96}{0.03})^2(0.226*0.774 + 0.181*0.819)[/tex]
[tex]n = 1379.4[/tex]
Rounding up:
A sample size of 1380 should be obtained.
What does an equal sign mean mathematically?
Answers
Answer:
It means that the both sides of the expression in the given equation must be/are congruent.
Hope this helps!
For which of the following compound inequalities is there no solution?
Answers
Answer:
(a)[tex]6m \le - 36[/tex] and [tex]m + 24 > 20[/tex]
Step-by-step explanation:
Required
Which of a to d has no solution
(a)[tex]6m \le - 36[/tex] and [tex]m + 24 > 20[/tex]
We have: [tex]m + 24 > 20[/tex]
Sole for m
[tex]m >20 - 24[/tex]
[tex]m >-4[/tex]
[tex]6m \le - 36[/tex]
Divide by 6
[tex]m \le -6[/tex]
So, we have:
[tex]m \le -6[/tex] and [tex]m >-4[/tex]
[tex]m \le -6[/tex] implies that: m = -6,-7,-8,-9.....
[tex]m >-4[/tex] implies that m = -3,-2,-1,0.....
Hence, there is no solution
The two-way frequency table below shows the results taken from a survey of 500 randomly selected
adults aged 25 to 49. They were surveyed on their preference between two brands of pasta sauces. In
another survey of people aged 25-49, a total of 400 people preferred Sauce B. Based on the data
below, how many of those 400 people would be expected to be age 40-44?
Answers
Answer:242
Step-by-step explanation:
bc you have 25 to49 adults divide and subtracts & you get 242 , hope this helps !
83 people out of 400 people would be expected to be age 40-44.
What is probability?Probability is the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
As, 400 people choose sauce B.
In the given table there 302 people who choose sauce B, in which 63 people belongs to group 40-44
So, 63/302= x/400
302*x=63*400
x=83.
Hence, 83 people out of 400 belongs to group 40-44 who choose sauce B.
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what is 10.1 = 8+7m plsssssss i neeed help
Answers
Answer:
m= 0.3
Step-by-step explanation:
10.1 = 8 + 7m
-8 -8
2.1 = 7m
2.1/7 = 0.3
Answer:
Subtract 8 from both sides of the equation
Simplify
Divide both sides of the equation by the same term
m=0.3
Choose 1 answer
A 4/9 of 3/4
B 4/12 of 5/12
C 1/3 of 9/12
Answers
HMP is isosceles triangle with base MP, also NP⊥OM and NM = OP Name the postulate or theorem you can use to prove NHM = OHP
Answers
Answer:
HL theorem
Step-by-step explanation:
since NP⊥OM, so, L H is a right angle.
and NM = OP as hypotenuse
HL theorem
NP is perpendicular to OM
<NHO=90°NM =OP given
So the triangles are congruent
Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 2/5. If they have three children, what is the probability that exactly three of their three children will have that trait? Round your answer to the nearest thousandth.
Answers
Answer:
any details?
Step-by-step explanation:
What is the lowest whole number for hypotenuse c when using the formula [tex]\sqrt{a^2+b^2}[/tex] and a = b?
Answers
9514 1404 393
Answer:
0
Step-by-step explanation:
If a=b, you are asking for a whole number c such that ...
c = √(a² +a²) = a√2
If 'a' is a whole number, the only whole numbers that satisfy this equation are ...
c = 0 and a = 0.
0 = 0×√2
The lowest whole number c such that c = √(a²+b²) and a=b=whole number is zero.
__
√2 is irrational, so there cannot be two non-zero whole numbers such that c/a=√2.
_____
Additional comment
If you allow 'a' to be irrational, then you can choose any value of 'c' that you like. Whole numbers begin at 0, so 0 is the lowest possible value of 'c'. If you don't like that one, you can choose c=1, which makes a=(√2)/2 ≈ 0.707, an irrational number. The problem statement here puts no restrictions on the values of 'a' and 'b'.
February has 28 days. It rained on [tex]\frac{3}{4}[/tex] of the days in February. What was the total number of rainy days during this month?
Answers
Answer:
21
Step-by-step explanation:
28x3/4
Arrange the vehicles in descending order according to the altitudes at which they operate.
Vehicle Altitude (feet)
sailboat 0
submarine -1,500
glider 5,000
airship 3,000
A.
sailboat, submarine, glider, airship
B.
submarine, sailboat, airship, glider
C.
airship, glider, submarine, sailboat
D.
glider, airship, sailboat, submarine
Answers
Answer:
airship, glider, submarine, sailboat
For Limit of StartFraction x squared minus 4 x minus 12 Over x minus 2 EndFraction as x approaches 2 minus =
✔ infinity
and Limit of StartFraction x squared minus 4 x minus 12 Over x minus 2 EndFraction as x approaches 2 plus=
✔ negative infinity
. These limits indicate there is an asymptote of
.
Answers
Answer:
x=2
Step-by-step explanation:
Just did the assignment
The given rational function, that is, (x² - 4 · x - 12) / (x-2), has no horizontal asymptotes but one vertical asymptotes at x = 2.
How to determine the asymptotes of a rational function
A rational function has a horizontal asymptote if and only if the limit exists for x tending to ±∞. Rational functions have a limit if and only if the grade of the denominator is equal to or greater than the grade of the numerator. A vertical asymptote exists for all values of x such that the denominator equals 0.
Based on these facts, we conclude that the given rational function has no horizontal asymptotes but one vertical asymptotes at x = 2.
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Angle R and 92 are supplementary angles. What equation can you use to solve for R?
R+180=92
R+90=92
R+92=180
R+92=90
180+92=R
Answers
Answer:
Your answer is R+92=180
Step-by-step explanation:
Supplementary means angles that add up to 180, so R+92=180 has to be correct.