In ∆ABC, m∠BAC=4x+10,m∠ABC=12x-6,and m∠BCA=3x+5

Use the given information to find the value of x (1 point). Show your work (2 points)
Now that you know x, find the measure of each angle. Show your work (2 points each).
m∠BAC
m∠ABC
m∠BCA
Find the measure of angle 1 and angle 2 (2 points each)
m∠1
m∠2
Angle BAC and Angle FAC are examples of what type of angle pair? (1 point)
Angle BCE and Angle DCA are examples of what type of angle pair? (1 point)
Answer:

Answer:

Step-by-step explanation:

c

Answer: 1:1 or 2:1

Step-by-step explanation:

Answer:

The father is 40 and his son is 10

Step-by-step explanation:

Answer:

The two problems/expressions are the same because of the negative and positive rule.

Step-by-step explanation:

+ - = -

- + = -

- - = +

+ + = +

Answer:

-850

Step-by-step explanation:

you do multiplication first, then do the addition

Answer:

Im going to steal all of ur points

Step-by-step explanation:

Answer:

a) A sample of 256 was used in this survey.

b) 45.14% probability that the point estimate was within ±15 of the population mean

Step-by-step explanation:

This question is solved using the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

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.

a. How large was the sample used in this survey?

We have that [tex]s = 25, \sigma = 400[/tex]. We want to find n, so:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

[tex]25 = \frac{400}{\sqrt{n}}[/tex]

[tex]25\sqrt{n} = 400[/tex]

[tex]\sqrt{n} = \frac{400}{25}[/tex]

[tex]\sqrt{n} = 16[/tex]

[tex](\sqrt{n})^2 = 16^2[tex]

[tex]n = 256[/tex]

A sample of 256 was used in this survey.

b. What is the probability that the point estimate was within ±15 of the population mean?

15 is the bounds with want, 25 is the standard error. So

Z = 15/25 = 0.6 has a pvalue of 0.7257

Z = -15/25 = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

45.14% probability that the point estimate was within ±15 of the population mean

Answer:

The bowl of glass 1 is cylindrical. The inside diameter is 5 cm and the inside height is 6 cm.

The bowl of glass 2 is composed of a hemisphere attached to cylinder. The inside diameter of both the hemisphere and the cylinder is 6 cm. The height of the cylinder is 3 cm.

The bowl of glass 3 is an inverted cone. The inside diameter is 6 cm and the inside slant height is 6 cm.

Answer:

According to the passage, whales weight 300,000 pounds on average. Narwhales weigh 2,000 pounds on average.

Step-by-step explanation:

Since the question is extremely vague, I'll just answer what's the weight of whales and the weight of narwhals.

According to the paragraph, blue whales weigh 3×[tex]10^{5}[/tex] pounds.

This is what we call scientific notation. You could solve it normally, or you could use a faster method.

Scientific notation states that the first number that you see, the three, is the first part of the answer. The exponent on the number of zero's that there is.

That means that the answer to 3×[tex]10^{5}[/tex] you get 300,000.

Let's do the same thing to Narwhales.

2×[tex]10^{3}[/tex] is 2,000.

Answer: 부동산 수수료 계산기 에 의해 작동 계산 하는 간단한 방정식을 : 합의 된 지급 비율 속성의 / 100 × 가격을. 예를 들어 주택 소유자가 주택을 $ 200,000에 판매하고 수수료율 이 5 % 인 경우 방정식 은 (5/100) x 200,000 = $ 10,000 수수료가 됩니다.2020 년

Step-by-step explanation:

Answer:

No, it isnt a proportional relationship relationship. False.

Answer:

We conclude that the constant of dilation is: 4

Step-by-step explanation:

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

The coordinates of the image point can be determined by multiplying the coordinates of the original point by a certain scale factor.

Given the point A'(12, 4) is the image of A(3, 1).

It is clear that the image point A'(12, 4) is enlarged 4 times of the original point A(3, 1).

It means the image point A'(12, 4) is determined when the original point A(3, 1) is dilated by a scale factor of 4.

i.e.

A(3, 1) → A'(4(3), 4(1)) → A' (12, 4)

Therefore, the rule of dilation by a scale factor 4 is:

P(x, y) → P'(4x, 4y)

Hence, we conclude that the constant of dilation is: 4

Answer:

88.89%

Step-by-step explanation:

Calculation for what is the minimum percentage of quiz scores between 4.8 and 8.4

The calculated minimum percentage value of quiz scores between

First step is to calculate the lower k value using this formula

k=(x1−m)/s

Where:

x1 represent first random value 4.8

x2 represent second random value 8.4

m represent mean 6.6

s represent standard deviation 0.6

Let plug in the formula

k=(4.8−6.6)/0.6

k=−1.8/0.6

k=−3

Second step is to calculate the upper k value

k=(x2−m)/s

k=(8.4−6.6)/0.6

k=1.8/0.6

k=3

Now let calculate the minimum percentage

Using this formula

Minimum percentage=1−1/k^2

Let plug in the formula

Minimum percentage=1−1/3^2

Minimum percentage=1−1/9

Minimum percentage=1−0.1111

Minimum percentage=0.8889*100

Minimum percentage=88.89%

Therefore the minimum percentage of quiz scores between 4.8 and 8.4 is 88.89%

Answer:

75%

Step-by-step explanation:

5.2−6.40.6=−2  and 7.6−6.40.6=2.

This means that 5.2 lies 2 standard deviations below the mean and 7.6 lies 2 standard deviations above the mean.

According to Chebyshev's Theorem, at least 75% of data values lie within 2 standard deviations of the mean.

Therefore, we can say that 75% is the minimum percentage of quiz scores between 5.2 and 7.6.

Answer:

option 1

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

1.2 times 50 = 60

60 - 40 = 20

40/20 = 2

100/2 = 50

50%

The percentage of the profit when he sells them for $1.20 will be 50%.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

A dealer buys 50 apples for $40. Then the cost of each apple is given as,

⇒ $40 / 50

⇒ $0.80 per apple

Then the percentage of the profit is calculated as,

P = [($1.20 - $0.80) / $0.80] x 100

P = ($0.40 / $0.80) x 100

P = 0.50 x 100

P = 50%

The percentage of the profit when he sells them for $1.20 will be 50%.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ2

Answer:

6 just 6

Step-by-step explanation:

6 is the greatezst and the all have the common factor of 6

Answer:

I think that the pack of card will be 40

Answer:

here this should be the answer

Answer:

$ 59.5

Step-by-step explanation:

Calculation for how much is the store's profit

First step is to calculate the store's cost

Store's cost= 170/100 * $85

Store's cost =$144.5

Now let calculate the store's profit

Store'sProfit=$144.5-$85

Store's Profit=$ 59.5

Therefore the store's profit will be $59.5

Answer:

0.75%

Step-by-step explanation:

Total amount to generate at fundraiser = $8000

Amount donated by Bethany family = $60

The percentage of Bethany's donation towards the fundraiser is :

Let percentage = x

x% of 8000 = 60

x/100 * 8000 = 60

0.01x * 8000 = 60

80x = 60

Divide both sides by des by 80

80x / 80 = 60 / 80

x = 0.75

Answer:

the awnser to that is 1/64

Step-by-step explanation:

Answer:

∠2

Step-by-step explanation:

∠2 + ∠3 = 90°

complimentary angles add up to 90°

Answer:

x=4

Step-by-step explanation:

2x-9=-1

u add 9 on both sides so its 2x=8

then divide by 2 on each side  and it gives u 4

Answer:

x=4

Step-by-step explanation:

You are right

Answer:

216 ft

Step-by-step explanation:

The equation for area of a cube is [tex]6a^{2}[/tex] where a is the length of one edge.

Plug in the edge length of 6 for this problem

[tex]6(6^{2} )[/tex]=6x36=216

Answer: Scale factor = 2

=====================================================

Explanation:

Pick on any pair of corresponding sides. I'll pick the right-most sides of each figure. For figure A, that would be the side of 40 units. Figure B has this corresponding side be 80 units long.

The scale factor is 80/40 = 2. This shows that figure B has sides 2 times longer compared to the corresponding sides on figure A.

So in short all you do is divide the corresponding side lengths. We divide in the format (figureB)/(figureA) because of the transition from A to B, and not the other way around.

Answer:

5/6hour=5/6×60=300/6=50

8tasks in 50minutes

1task=50/8=61/4minutes

A)robot completes task in 61/4minutes

B)#tasks per hour

#of tasks×time tasks to do task<or=60

no×6.25=60

6-25n=60

n=60/6.25=96

A robot can complete a tasks in one hour

Answer:

The L.C.M. of 18 and 45 is 90.

Answer:

90

Step-by-step explanation:

18/3

6/3

2/3

45/3

15/3

5/3

Take 5/3 and 2/3

5*3*2*3

90

Answer:

23

Step-by-step explanation:

2+2+3+4+5+6 = 23