if you move point toward point B along BC how does m_ABC change? How do mZBAC and mZACB change? What happens to these
angles if you move point C away from point B along BC?
Answers
Answer:
i think its abc stays same, bac gets smaller, and acb gets bigger
for the second part, abc same, bac bigger, acb smaller
Step-by-step explanation:
if you picture the triangle in your head that probably would help
If we take point C closer towards point B, then ∠ABC will remain the same, the measurement of ∠BAC will decrease, and the measurement of ∠ACB will increase. Similarly, If we take point C far from point B, ∠ABC will remain the same, the measurement of ∠BAC will increase, and the measurement of ∠ACB will decrease.
What is an angle?Angle is formed by two lines or rays which have a common endpoint. Angle has two sides.
Here Given in the question that Point C is movable and it moves towards point B.
If we change the position of C nearer to point B keeping points B and A fixed in angle ∠ABC the side BC length will decrease but the gap between AB and BC will remain the same. Therefore ∠ABC will remain the same.
If we change the position of C nearer to point B keeping point B and A fixed in angle ∠BAC, point C will get closer to point B for which the gap between AB and AC will decrease. Therefore the measurement of ∠BAC will decrease.
If we change the position of C nearer to point B keeping points B and A fixed in angle ∠ACB, point C will get far from point A as point A is fixed for which the gap between AC and CB will increase. Therefore the measurement of ∠ACB will increase.
Therefore if we take point C closer towards point B, then ∠ABC will remain the same, the measurement of ∠BAC will decrease, and the measurement of ∠ACB will increase.
If we take point C far from point B, then the thing will be reversed except ∠ABC.
Therefore If we take point C far from point B, ∠ABC will remain the same, the measurement of ∠BAC will increase, and the measurement of ∠ACB will decrease.
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Related Questions
the town of sharon hill is a perfect squre with an area of 9 squares miles the length of each side of town measure how long ?
Answers
Answer:
2.25
Step-by-step explanation:
Since its a perfect square and you know the area, all you have to do it divide 9 by 4
Equivalent ratio word problems (basic)
Ingredient
Amount
Graham crackers
2
Chocolate squares
8
Marshmallows
3
How many s'mores can Kora make if she has 20 graham crackers?
Repo
Stuck? Watch a video or use a hint.
Answers
A company ships two different products, one in smaller packages that weighs 12 pounds and the other in a 20-pound package. A shipment of nine packages weighs a total of 124 pounds. What is
the total weight of the smaller packages?
Answers
Answer:
The total weight of the smaller packages is 84 lb
Can someone help please?
Answers
Answer:
It’s either A or C. However I’m mostly going with C. For C tells us 2 hours and 23 minutes have passed. I hope this helps.
Step-by-step explanation:
Please correct me if I am wrong.
only 1 question!
Please help I’ll mark brainliest!!!
Answers
Answer:
Wouldn’t y be 4 and x be 1?
Answer:
Y = -1X + 5
Step-by-step explanation:
I just solved it, it was a long problem, I don't wanna talk you through it. I think I'm correct.
Hope this helps! Let me know!
In Level 1, Nora earned 16 points because her bridge passed inspection. Then, she lost 25 points because part of her bridge collapsed! What was Nora's score at the end of Level 1?
Answers
Answer:
-9 points
Step-by-step explanation:
Your answer should be a polynomial in standard form. ( d^2 +3) (d^2 +2d +1)
Answers
Answer:d^4+2d^3+4d^2+6d+3
Step-by-step explanation:
Given: Triangle ABC is right isosceles. X is the
midpoint of AC. AB = BC
Prove: Triangle AXB is isosceles.
Answers
Answer:
Step-by-step explanation:
From the figure attached,
Point X is the midpoint of line AC.
Since coordinates of the midpoint of the segment joining endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Therefore, coordinates of the point X will be,
= [tex](\frac{0+2a}{2},\frac{2a+0}{2})[/tex]
= (a, a)
From triangle AXB,
Length of AB = 2a
Length of AX = [tex]\sqrt{(a-0)^2+(a-2a)^2}[/tex]
= [tex]a\sqrt{2}[/tex]
Length of BX = [tex]\sqrt{(a-0)^2+(a-0)^2}[/tex]
= [tex]a\sqrt{2}[/tex]
Length of AX = BX = [tex]a\sqrt{2}[/tex]
Therefore, triangle AXB is an isosceles triangle.
HELPPP 16 POINTS. It was estimated that 325 people would attend game night, but 315 people actually attended.
What is the percent error, to the nearest percent, of the estimate? Enter the answer in the box.
Answers
Answer:
3%
Step-by-step explanation: 315/325 as a percent would be 96.92%. After finding that, we would do 100 - 96.92, yielding 3.08, 3.08 to the nearest percent would result in 3%
Answer:
the answer to the nearest percent is 3%
What are rational numbers
Answers
Answer:
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers
Answer:
C. it cannot be a whole number
Step-by-step explanation:
The heights of American men aged 18 to 24 are approximately Normally distributed with a mean of 68 inches and a standard deviation of 2.5 inches. Only about 5% of young men have heights outside the range
Answers
(Hope that helps (= The given says the height distribution is normally distributed with the mean height equal to 68 inches. In this case, the bell-shaped curve has a vertical symmetry at 68 inches. This means, half of the mean exceeds 68 inches while the other half has height below 68 inches.
The height range out of which only 5% of the young American men (from age 18 to 24) lie is [63.35, 72.65] (in inches)
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have
[tex]X \sim N(\mu, \sigma)[/tex]
(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] )
then it can be converted to standard normal distribution as
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
[tex]P(Z \leq z) = P(Z < z) )[/tex]
Also, know that if we look for Z = z in z tables, the p value we get is
[tex]P(Z \leq z) = \rm p \: value[/tex]
For this case, let we take:
X = height of American men from age 18 to 24[a,b] = range of height (the values of X) outside which there lies only 5% of American men.Then, according to the given data, we have:
[tex]X \sim N(\mu = 68, \sigma = 2.5)[/tex]
where [tex]\mu[/tex] is mean value of X and [tex]\sigma[/tex] is standard deviation of X (both in inches).
Also, we can write:
[tex]P(X < a) + P(X > b) = 5\% = 0.05[/tex]
Since normal distribution is symmetric about its mean, we can take a and b equidistant from the mean, so as to get a symmetric range which makes much more sense than taking an asymmetric range which doesn't comply with the nature of values of X.
Thus, we have:
[tex]\mu - a = b - \mu\\b = 2\mu - a[/tex]
From this result and [tex]P(X < a) + P(X > b) = 5\% = 0.05[/tex], we get:
[tex]P(X < a) + P(X > 2\mu -a) = 0.05[/tex]
Converting X to Z(the standard normal distribution), we get;
[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]
[tex]P(X < a) + P(X > 2\mu -a) = 0.05\\\\P(Z < z = \dfrac{x-\mu}{\sigma} = \dfrac{a-68}{2.5}) + P(Z > \dfrac{2(68) - a - 68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z > \dfrac{68-a}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z > -\dfrac{a-68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z \leq \dfrac{a-68}{2.5}) = 0.05 \: \: \: \: (\because P(Z > -k) = P(Z \leq k))\\\\2P(Z < \dfrac{a-68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) = 0.025[/tex]
Using the z-tables, we get the value of Z for which p-value is 0.025 as
-1.96
Thus, we get:
[tex]\dfrac{a-68}{2.5} = -1.96\\\\a = 68 + (-1.96 \times 2.5)\\a = 63.35[/tex]
Thus, we get: [tex]b = 2\mu - a = 2(68) - 63.35 = 72.65[/tex]
Thus, the range is [a,b] = [63.35, 72.65]
Thus, the height range out of which only 5% of the young American men (from age 18 to 24) lie is [63.35, 72.65] (in inches)
Learn more about standard normal distribution here:
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PROBLEM SOLVING You need two bottles of fertilizer to treat the flower garden shown. How many bottles do you need to treat a
similar garden with a perimeter of 105 feet?
Answers
Answer:
5
Step-by-step explanation:
you divide 42 by 2,then get 21 so you divide that by 105 and get 5 :))
which of the equation is graphed below
A.) y=1/4x+1
B.) y=-1/4x+1
C.) y=4x+1
D.) y=-4x+1
Answers
Find the distance between V (4.4) and X (5.8). Round to the nearest tenth, if necessary. about units
Answers
Answer:
V= 5 X=6
Step-by-step explanation:
How do you calculate the x-intercept of a line written in Standard Form?
Answers
y=0 , solve for x
x=0 , solve for y
Here is an example: (solving for x)
2x + 3y = 6
2x + 3(0) = 6
2x = 6
2x/2 = 6/2
x = 3
Here is an example: (solving for y)
2x + 3y = 6
2(0) + 3y = 6
3y = 6
3y/3 = 6/3
y = 2
SOME 1 HELP WITH 11 PLZZZZ
Answers
Answer: Tiffany got 45 questions right! Hope this helped.
Step-by-step explanation:
The exact same experiment was conducted 16 times. How many times
should the results have been similar for them to be valid?
A. 8
B. 10
C. 7
D. 16
Answers
Due in 3 minutes please help
Answers
Answer:
1847 - 24% decrease
1848 - 68.42% increase
Hope this helps.
Photons of red light have a wavelength of approximately $7\times 10^{-7}$ meters. The energy of a photon is inversely proportional to its wavelength. A photon with 2000 times the energy as a photon of red light will have a wavelength that can be written as $a\cdot 10^b$ meters, where $1\le a < 10$. (In other words, in scientific notation.) What is $a+b$ written as a decimal?
Answers
Answer:2.97 ×10 − 19 J
PLEASE HELP HELP PLEASEEEEEEEEEEEEE
Answers
Answer:
D
Step-by-step explanation:
So it needs to go down because its negative. So B and C are out. Now if you look at the y intercept (4), you just have to look at which graph has a y intercept that's positive. So that's D
Look at the triangle show on the right. The Pythagorean Theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. Margaret uses this theorem to simplify and rewrite the expression (b/r)^2 + (a/r)^2 using the triangle shown. Which trigonometric identity can she prove with her expression? *
Answers
Answer:
[tex]cos^2\theta + sin^2\theta = 1[/tex]
Step-by-step explanation:
Given
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2[/tex]
Required
Use the expression to prove a trigonometry identity
The given expression is not complete until it is written as:
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = (\frac{r}{r})^2[/tex]
Going by the Pythagoras theorem, we can assume the following.
a = Oppositeb = Adjacentr = HypothenuseSo, we have:
[tex]Sin\theta = \frac{a}{r}[/tex]
[tex]Cos\theta = \frac{b}{r}[/tex]
Having said that:
The expression can be further simplified as:
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = 1[/tex]
Substitute values for sin and cos
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = 1[/tex] becomes
[tex]cos^2\theta + sin^2\theta = 1[/tex]
Vera ordered a soup, salad, and sandwich to share with her friends. The probabilities of each item being ready first are as follows: \text{P(Soup ready first}) = \dfrac15P(Soup ready first)= 5 1 start text, P, left parenthesis, S, o, u, p, space, r, e, a, d, y, space, f, i, r, s, t, end text, right parenthesis, equals, start fraction, 1, divided by, 5, end fraction \text{P(Salad ready first}) = 0.45P(Salad ready first)=0.45start text, P, left parenthesis, S, a, l, a, d, space, r, e, a, d, y, space, f, i, r, s, t, end text, right parenthesis, equals, 0, point, 45 \text{P(Sandwich ready first}) = 35\%P(Sandwich ready first)=35%
Answers
PLEASE HELP ASAP, WILL MARK BRAINLIEST
Answers
Answer:
[tex] \sqrt{5} < 2.9 \\ = true \\ \\ 4 > \sqrt{23} \\ = false \\ \\ \frac{ \sqrt{30} }{5} < \frac{7}{5} \\ = true[/tex]
Hopes it helps you ☺️☺️Thank you ☺️☺️
A poll conducted the day before the student- body presidential election at a midwestern university showed that 53.9 percent favored Mario, the rest favoring Yin Ling. The margin of error was 4.2 percentage points. Should Yin Ling have conceded the election?
Answers
Answer:
No
Step-by-step explanation:
The confidence interval of the percentage of people that favored Mario = number of votes favoring Mario ± Margin of error
The confidence interval = 53.9% ± 4.2% = (49.7%, 58.1%)
This means that between 49.7% to 58.1% of the people would have voted for Mario.
Hence Yin Ling would not have won the election, since there is a probability that 50% would have voted for Mario
When you flip a biased coin the probability of getting a tail is 0.46.
Find the probability of getting a head.
Answers
Answer:
54%
Step-by-step explanation:
Getting a head or a tail are two mutually exclusive events. Thus, given that probability of getting a tail is 0.46, the probability of getting a head is 0.54.
What are mutually exclusive events?Two events are mutually exclusive or disjoint if they cannot both occur at the same time.
P(getting a head) + P(getting a tail) = 1
(Getting a head and getting a tail are mutually exclusive events. This implies that when we toss a coin, we either get a head or a tail.)
P(getting a head) + 0.46 = 1
P(getting a head) = 1 - 0.46 = 0.54
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The solution of 12x+12=8x is?
Answers
Answer:
x = - 3
Step-by-step explanation:
Solve by isolating x on one side of the equation.
12x+12=8x
-12 -12
12x=8x-12
-8x
4x=-12
4x/4=-12/4
x = - 3
You start at (-2, 2). You move up 1 unit and left 3 units. Where do you end?
Answers
Answer:
(-5, 3)
Step-by-step explanation:
Moving up one will give you (-2, 3) and moving left three brings you to (-5, 3).
Which graph represents the solution set for the compound inequality below?
Answers
Answer:
Option 1
Step-by-step explanation:
First inequality:
-x/3>=-3 => x<9
Second inequality:
x>=17
two in 1 more points
Answers
Answer:
Your photo wont show up
Step-by-step explanation:
Answer:
Hello
1. B. 2.35 * 10^11
2. A. 3 * 10^-2
Jane and Jillian are hiking around a hill and one complete circle is 8 miles long. They start together but hike in opposite directions. Both start to hike at 8:00 AM. Jane's hiking speed is 3 mph and Jillian's hiking speed is 5 mph. How long will it take before they meet? At what time will they meet? In how many hours? What time will they meet at?
Answers
Answer:
It will tale 1 hour before they meet and they will meet agin at 9 :00 AM.
Step-by-step explanation:
Speed of Jane, [tex]v_1=3[/tex] mph
and the speed of Jillian, [tex]v_2= 5[/tex] mph.
Length of one complete circle = 8 miles.
Both are moving in the opposite direction, let the starting point is at O, and met at the point P after time, t, as shown in the figure.
Let the length covered by Jane via path OAP= x miles.
[tex]\Rightarrow x= 3t[/tex] [as distance= speed x time]
[tex]\Rightarrow t=x/3 \cdots(i)[/tex]
The length covered by Jillian via path OBP [tex]= 8-x[/tex] miles
[tex]\Rightarrow 8-x= 5t[/tex] [as distance = speed x time]
[tex]\Rightarrow t=(8-x)/5 \cdots(i)[/tex]
Now from equation (i) and (ii),
[tex]\frac{x}{3} = \frac{8-x}{3}[/tex]
[tex]\Rightarrow 5x=3(8-x)[/tex]
[tex]\Rightarrow 5x+3x=24[/tex]
[tex]\Rightarrow x=3[/tex]
So, the distanc covered by Jane = 3 miles and
the distanc covered by Jillian = 8-3=5 miles
From equation (i), time taken, t = 3/3= 1 hour.
So, it will tale 1 hour before they meet.
As the startion time was 8:00 AM, so the will agin meet at 9 :00 AM.