Answer:
m∠BCD = 90°
∠BCD is a right angle
Step-by-step explanation:
If a ray bisects an angle, that means it divides the angle into two equal parts in measure
∵ Ray CE bisects ∠BCD
→ Means divide it into two angles BCE and ECD which equal in measures
∴ m∠BCE = m∠ECD = [tex]\frac{1}{2}[/tex] m∠BCD
∵ m∠BCE = 3x - 6
∵ m∠ECD = 2x + 11
→ Equate them to find x
∴ 3x - 6 = 2x + 11
→ Add 6 to both sides
∵ 3x - 6 + 6 = 2x + 11 + 6
∴ 3x = 2x + 17
→ Subtract 2x from both sides
∵ 3x - 2x = 2x - 2x + 17
∴ x = 17
∵ m∠BCE = [tex]\frac{1}{2}[/tex] m∠BCD
→ Substitute x in the measure of ∠BCE to find it, then use it to
find m∠BCD
∵ m∠BCE = 3(17) - 6 = 51 - 6
∴ m∠BCE = 45°
∵ 45 = [tex]\frac{1}{2}[/tex] m∠BCD
→ Multiply both sides by 2
∴ 90 = m∠BCD
∴ m∠BCD = 90°
→ The measure of the acute angle is less than 90°, the measure of
the obtuse angle is greater than 90°, and the measure of the
right angle is 90°
∴ ∠BCD is a right angle
does anybody know this????
Answer:
(f - g)(x) = -x² + 3x + 7 ⇒ D
Step-by-step explanation:
In the expression x - a, you will subtract a from x
Let us solve the question using this fact
∵ f(x) = 3x + 1
∵ g(x) = x² - 6
→ We need to find (f - g)(x), which means subtract g from x
∵ (f - g)(x) = (3x + 1) - (x² - 6)
→ The negative sign before (x² - 6) will change their signs
∵ - (x² - 6) = -(x²) + -(-6)
→ Remember (-)(+) = - and (-)(-) = (+)
∴ - (x² - 6) = -x² + 6
→ Substitute it in (f - g)(x)
∴ (f - g)(x) = 3x + 1 - x² + 6
→ Add the like terms
∴ (f - g)(x) = 3x - x² + (1 + 6)
∴ (f - g)(x) = 3x - x² + 7
→ Re-arrange the terms from the greatest power of x
∴ (f - g)(x) = -x² + 3x + 7
Guys PLZZZ help meeeess
Answer:
Answer to 1. 2. 3.
Step-by-step explanation:
1. Pairs of socks: 1, 4, 5, 10
Cost in dollers: 2.50, 10, 12.50, 25
you can buy 10 pairs of socks for 25$
2. Miles: 35, 280, 420
Gallons: 1, 8, 12
Mr. fink cand drive 280 miles on 8 gallons of gas.
3. Pages 1, 2, 3, 4, 5, 6
Stickers: 9, 18, 27, 36, 45, 54
Jenny has 54 stickers in her unicorn sticker book.
In the bronze medal game of the 2014 FIBA Asia Cup, and with his team down by two points, Philippines guard Paul Dalistan was fouled while attempting a three-pointer at the buzzer. He missed the shot and headed to the free throw line for three foul shots. Dalistan’s free throw percentage is 84.6.
Complete Question
Question: In the bronze medal game of the 2014 FIBA Asia Cup... In the bronze medal game of the 2014 FIBA Asia Cup, and with his team down by two points, Philippines guard Paul Dalistan was fouled while attempting a three-pointer at the buzzer. He missed the shot and headed to the line for three foul shots.
1. Watch the video of Dalistan preparing to take his first shot. Before he shoots, what is the probability that Philippines will win the game? Lose the game? Send it into overtime? Dalistan’s free throw percentage is 84.6%
Answer:
a
The probability that Philippines will win the game is [tex]P(A) = 0.6055 [/tex]
b
The probability that Philippines will lose the game is [tex]P(B) = 0.00365[/tex]
c
The probability that the game will be sent to overtime is [tex]P(C) = 0.06 [/tex]
Step-by-step explanation:
From the question we are told that
The probability of Paul Dalistan making a shot is p = 0.846
The probability of Paul Dalistan not making the shot is [tex]q = 1- p = 1- 0.846=0.154[/tex]
Paul Dalistan team was down by two points
This mean that for Paul Dalistan's team to win the game he must make the 3 free throws
So the probability that Philippines will win the game is mathematically represented as
[tex]P(A) = p^3 [/tex]
=> [tex]P(A) = 0.846^3[/tex]
=> [tex]P(A) = 0.6055 [/tex]
Gnerally for Paul Dalistan's team to loss the game it means that Paul Dalistan did not make any of the free shot
Hence the probability that Philippines will loss the game is
[tex]P(B) = q^3[/tex]
=> [tex]P(B) = (0.154 )^3[/tex]
=> [tex]P(B) = 0.00365[/tex]
Generally for the game to be sent to overtime then the game must be tied and for the game to be tied, Paul Dalistan have to make 2 out of the three shots
Hence the probability that game will go to overtime is
[tex]P(C) = 3 * 0.846 * 0.154 * 0.154[/tex]
[tex]P(C) = 0.06 [/tex]
Jessie read three books in one week. At this rate, how many books will she read in 3 weeks?
Answer:
Jessie will read 9 books in 3 weeks.
Step-by-step explanation:
3 x 3 = 9
Answer: 9
Step-by-step explanation: If you need an equation, you can create one:
t = total number of books read
w = weeks
t = 3w
The 3 is there because she reads 3 books weekly, so you multiply the number of weeks by the number of books she reads.
Plug in 3 weeks:
t = 3(3)
t = 9 books
Jessie reads 9 books in 3 weeks.
Which ordered pair is a solution to the system of inequalities
Y<3x-1
Y>|x-2|
A. (-2,0)
B. ( 0,1)
C. (4,4)
D. (3,-1)
Please Need i ASAP
I will give brainliest the correct answer!
What is the range of the linear equation graphed?
A. R: -1 < y < 3
B. R: 3 < y < -1
C. R: - 1 <= y <= 3
D. R: 3 <= y <= - 1
Answer:
A. R: -1 < y < 3
Helen has two more than twice the number of Gail's pokemon cards. If you increase the number of Gail's pokemon cards by 10, she will have the same number of pokemon cards as Helen has. How many pokemon cards does Gail have?
Answer:
Gail will have 8 cards before adding those 10, 18 if she added those 10.
Step-by-step explanation:
When Gail has 8 cards then Helen would have 18 cards, whicj is twice more than double that of Gail's.
Answer:over 10
Step-by-step explanation:
Get sticke bugged lol
PLEASE HELP NOW!!!!
WILL MARK BRAINLIEST AND ALL THAT JAZZ!!
The rule for significant digits in multiplication is, the answer should reflect the number in the problem with the
most significant digits
b. fewest significant digits
a. Most significant digits
Answer:
b
Step-by-step explanation:
BCCCCCC
Estimate 2 perfect squares 15 would be between.
1. 3 and 4
2. 4 and 5
3. 2 and 3
4. 6 and 7
find the difference between the product of -9.5 and 6.4 and their sum
Answer:
-60.8-(-3.1)= -57.7
Explain:
(-9.5)6.4 = -60.8
(-9.5) + 6.4 = -3.1
i need help finding the value of x
Answer:
Step-by-step explanation:
Dante and Erica just returned from a comic bookstore that sells new and used comic books.
Dante spend $10.25 on 2 new and 3 old books, and Erica spend 13.75 on 10 used and 3 new
ones. Which system of equations can be used to find how much the new and old books costs?
Sabendo que as retas r, s e t são paralelas, determine o valor de x na imagem a seguir
a)3
b)3,2
c)3,5
d)4
Answer:
x = 3.2
Step-by-step explanation:
Aquí, queremos encontrar el valor de x en la imagen de arriba.
Matemáticamente eso sería;
x / 4 = (x + 16) / (20 + 4)
x / 4 = (x + 16) / 24
Cruz multiplicar 24 * x = 4 (x + 16)
24x = 4x + 64
24x - 4x = 64
20x = 64
x = 64/20 x = 3,2
From the transversal proportionality theorem of parallel lines r,s,t. the value of x is 3.2.
It is given that r, s, t are parallel to each other. The length of the sides is given as 16, 20, 4, x. we need to find the value of x.
What is the transversal proportionality theorem?If two or more parallel lines are cut by two transversals, then they divide the transversals proportionally.
From the transversal proportionality theorem,
When r, s, t are parallel to each other then a / x = b / y
so,
[tex]\rm \frac{16}{x} = \frac{20}{4} \\\rm x = \frac{16}{5} \\\rm x = 3.2[/tex]
Therefore, from the transversal proportionality theorem of parallel lines r,s,t. the value of x is 3.2.
Learn more about the transversal proportionality theorem here:
https://brainly.com/question/4087830
Samuel buys office supplies for his home business. The office supplies cost $175.79 before taxes. The sales tax rate is 8.25%. What is the amount of sales tax Samuel will pay?
Answer:
175.79* .0825 = 14.50 + 175.79 = 190.29 $190.25
Step-by-step explanation:
The amount of sales tax Samuel will pay is $14.50
Sales tax rateGiven the following information
cost of office supplies = $175.79 sales tax rate = 8.25%Get the amount of sales tax:
Amount of sales tax = 8.25% of $175.79
Amount of sales tax = 0.0825 * 175.79
Amount of sales tax = $14.50
Hence the amount of sales tax Samuel will pay is $14.50
Learn more on sales tax here: https://brainly.com/question/9437038
Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, the results from other research suggest that the antioxidants in foods such as blueberries can reduce and even reverse these age-related declines, at least in laboratory rats (Joseph et al., 1999). Based on these results, one might theorize that the same antioxidants might also benefit elderly humans. Suppose a researcher is interested in testing this theory. The researcher obtains a sample of adults who are older than 65, and gives each participant a daily dose of a blueberry supplement that is very high in antioxidants. After taking the supplement for 6 months, the participants are given a standardized cognitive skills test and produce a mean score of . For the general population of elderly adults, scores on the test average μ and form a normal distribution with σ=9.
(a)-Can the researcher conclude that the supplement has a significant effect on cognitive skill? Use a two-tailed
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
Yes the researcher can conclude that the supplement has a significant effect on cognitive skill
b
[tex]d = 0.5778 [/tex]
c
The result of this hypothesis test shows that there is sufficient evidence to that the supplement had significant effect.The measure of effect size is large due to the large value of Cohen's d (0.5778 > 0.30 )
Step-by-step explanation:
From the question we are told that
The sample size is n=16
The sample mean is [tex]M = 50.2[/tex]
The standard deviation is [tex]\sigma = 9[/tex]
The population mean is [tex]\mu = 45[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o \mu =45[/tex]
The alternative hypothesis is [tex]H_a \mu \ne 45[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{M - \mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{50.2 - 45}{\frac{9}{\sqrt{16} } }[/tex]
=> [tex]z = 2.31 [/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z > z )[/tex]
[tex]p-value = 2 * P(Z > 2.31 )[/tex]
From the z-table
[tex]P(Z > 2.31 ) = 0.010444[/tex]
=> [tex]p-value = 2 * 0.010444 [/tex]
=> [tex]p-value = 0.021 [/tex]
From the obtained values we see that [tex]p-value < 0.05[/tex]
Decision Rule
Reject the null hypothesis
Conclusion
There is sufficient evidence to conclude that the supplement has a significant effect on the cognitive skill of elderly adults
Generally the Cohen's d for this study is mathematically represented as
[tex]d = \frac{M - \mu}{\sigma }[/tex]
=> [tex]d = \frac{50.2 -45}{9 }[/tex]
=> [tex]d = 0.5778 [/tex]
Green, blue, purple,
Give me brainest
Answer:
purple
Step-by-step explanation:
because the color green and blue suck
Answer:
Red sus. Vote him bois.
Step-by-step explanation:
lol (Brainliest)
Can anyone answer this by sending a photo with 20-30 different numbers in a set so that I can do a project by making a class chart? This is in my Prob/Stats Class. All I need is the set of numbers; the rest I can do. Thank you!
This is for 30 points.
Answer:
i figured out how to attach lol
Step-by-step explanation:
What is the equation olf the line that is parallel to the gven line and has an x-intercept of 3? Oy-x+3 Oy-x+2 Oy=-x+3 Oy=-x+2
Answer:
It’s D
Step-by-step explanation:
The equation of the parallel line is y = x - 3, the correct option is C.
What is y-intercept of a function?The intersection of the graph of the function with the y-axis gives y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.
Assume that we've got: y = f(x)
At y-axis, we've got x = 0, so putting it will give us the y-intercept.
Thus, y-intercept of y = f(x) is y = f(0)
We are given that;
x-intercept = 3
Now,
we can find the equation of the line parallel to the given line and passing through the point (3, 0):
The given line has an equation of y = x + 3. This is already in slope-intercept form, so we can see that the slope is 1. The parallel line will have the same slope of 1.
The point that the parallel line passes through is (3, 0). We can use this point and the slope to write the equation of the parallel line in point-slope form:
y - 0 = 1(x - 3)
y = x - 3
Therefore, the slope intercept will be y=x-3
Learn more about y-intercept here:
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What is the scale of a map if 1 cm on a map represents 20 km in real life?
Answer:
1cm: 20km
Step-by-step explanation:
Give an example of a fraction that results in a repeating decimal. Explain how to round the decimal number to the the nearest thousandth.
Select whether each value for x will make the inequality below a True or False statement. x + 2 > 5.8
3 True or False
6 True or False
7.1 True or False
5/3 True or False
19/5 True or False
45/7 True or False
Answer:
Pretty Sure It's, B, C, F, H
Step-by-step explanation:
Because, If you put each in decimal form and compare it with 5.8, just find out the bigger number and BOOM, you got ya answer!
Answer:
B C F H
Step-by-step explanation:
hope this helps can i please have brainliest that would be great
Solve using elimination.
2x - 3y = -1
3x + 4y = 24
a.) (0,6)
b.) (1,1)
c.) (4,3)
d.) (8,0)
The smallest x-ray has a wave length of 5.9 x 10^-8 meters
The largest infrared light wave length is about 9.8.x 10^-7 meters.
Subtract these weve lengths to see how much larger the wavelength of infared lights is than an X-ray.
Answer:
theb correct answer is d VHow does your body’s flexibility naturally change as you age?
Step-by-step explanation:
Find an equation in standard form of the parabola passing through the points (1, -2), (2, -2), (3, -4)?
9514 1404 393
Answer:
y = -x^2 +3x -4
Step-by-step explanation:
We are given two points with the same y-value, so we know the axis of symmetry lies halfway between their x-coordinates, at ...
x = (1 +2)/2 = 3/2
Then the vertex form of the equation can be written ...
y = a(x -3/2)^2 +k
__
We can use two of the points to find the values of 'a' and 'k'.
For (x, y) = (1, -2)
-2 = a(1 -3/2)^2 +k = a/4 +k
For (x, y) = (3, -4)
-4 = a(3 -3/2)^2 +k = 9a/4 +k
Subtracting the first of these equations from the second, we have ...
(9a/4 +k) -(a/4 +k) = (-4) -(-2)
2a = -2
a = -1
Then k can be found from the first equation.
-2 = -1/4 +k
k = -1 3/4
So, the vertex form equation is ...
y = -(x -3/2)^2 -7/4
__
Expanding this, we can find the standard form.
y = -(x^2 -3x +9/4) -7/4)
y = -x^2 +3x -4
i will give u brainliest
Answer:
7 and the remainder is 0
Step-by-step explanation:
what is the equivalent fraction of 4/5
Answer:
16/20
Step-by-step explanation:
Can you help me solve for a?
Answer:
10
Step-by-step explanation:
We can look at the denominators(bottom numbers in a fraction), and find a relationship. 15 is 5 times 3, so let's multiply 2 by 5 to get z!
2(5)=10
Express 30 ^1/3 in simplest radical form.
Answer:
10
Step-by-step explanation:
What is the equation of the line that as the same slope as the line 3x − 6y = −12 and the same y-intercept as the line −5x + 7y = −21?
Answer:
3x - 6y = -21
Step-by-step explanation:
The Y and X must stay the same for the same slope while the constant will change depending on the y-intercept.
What are the partial products of 364 x 257?