15. Two angles are supplementary. One
angle is 8 times larger than the other.
Find the measure of the two angles.

In the expression "5p - 10," the term "5p" represents the coefficient. It indicates that the variable "p" is multiplied by 5 in the equation.

In the expression "5p - 10," the term "5p" represents the coefficient. In algebraic expressions, the coefficient is the numerical value that multiplies a variable. It determines the scale or magnitude of the variable's contribution to the expression. In this case, the coefficient "5" indicates that the variable "p" is multiplied by 5.

The coefficient provides information about the relationship between the variable and the expression. It helps determine the impact of changes in the variable on the overall expression. For example, if "p" represents the number of tickets, the coefficient "5" implies that each ticket contributes a value of 5 to the expression. Understanding the coefficient is crucial for evaluating and simplifying algebraic expressions, solving equations, and interpreting mathematical relationships. It allows us to quantify the effect of the variable within the given expression and facilitates further calculations and analysis.

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Answer:

distributive property of multiplication over addition

Step-by-step explanation:

The requried simplified value of x and y is 25 and 101 for which the two triangles became similar.

Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.

Here,
In one triangle, A = 31° and B = 97° . In a second triangle, D = (x+ 6)° and E = (y- 4)°.

For the condition, being the two triangles similar, their corresponding also should be similar.

A = D
31 = x + 6
x = 25

Similarly,
B = E
97 = y - 4
y = 101

Thus, the requried simplified value of x and y is 25 and 101 for which the two triangles became similar.

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Answer:

I think 15

Step-by-step explanation:

15+16+17+18+19+20=105

if it was 14 it would equal to 99

Answer:

X = 11

Step-by-step explanation:

Answer:

a: 42 =  2*3*7

b: 31 = 31*1

c: 36 = 2*2*3*3

d: 45 = 3*3*5

Cada descomposición es unica.

Step-by-step explanation:

Sabemos que todo número entero puede ser reescrito como un producto de números primos.

Esta descomposición es única, dado que una vez tenemos un número escrito como producto de primos, esos números primos no pueden descomponerse en otra cosa, por lo que se concluye que una descomposición en primos es única.

a: 42

Para obtener la descomposición, podemos comenzar dividiendo por primos, comenzando por los más bajos.

En este caso, podemos comenzar por 2:

42/2 = 21

asi, podemos reescribir:

42 = 2*21

Ahora ya tenemos un factor que es primo, el 2, y un factor que no lo es, el 21.

Asi que debemos reescribir el 21 como producto de primos.

Y sabemos que 3*7 = 21, donde ambos 3 y 7 son primos, entonces:

42 = 2*21 = 2*3*7

42 = 2*3*7

así hemos reescrito 42 como un producto entre números primos.

b. 31

31 es un número primo, por lo que su descomposición es:

31 = 31*1

c. 36

Comenzamos dividiendo por 2.

36/2 = 18

36 = 2*18

Volvemos a dividir por 2 el 18.

18/2 = 9

18 = 2*9

reemplazando eso en nuestra descomposición obtenemos:

36 = 2*18 = 2*2*9

9 es impar así que no podemos dividir por 2, pasamos al próximo número primo, el 3.

9/3 = 3

9 = 3*3

Reemplazando eso, obtenemos:

36 = 2*2*3*3

d. 45

no podemos dividir por 2, puesto que es un número impar, así que pasamos al próximo primo, el 3.

45/3 = 15

45 = 3*15

Ahora descompongamos el 15.

15/3 = 5

15 = 3*5  (notar que 3 y 5 son primos)

Reemplazando eso, obtenemos:

45 = 3*15 = 3*3*5

45 = 3*3*5

Answer:

5\(\sqrt{2}\)

Step-by-step explanation:

The diagonal divides the square into 2 right triangles.

let s be the side of the square with the diagonal being the hypotenuse.

Applying Pythagoras' identity to one right triangle, gives

s² + s² = 10² , that is

2s² = 100 ( divide both sides by 2 )

s² = 50 ( take the square root of both sides )

s = \(\sqrt{50}\) = \(\sqrt{25(2)}\) = \(\sqrt{25}\) × \(\sqrt{2}\) = 5\(\sqrt{2}\)

Answer:

14.25 hours

Step-by-step explanation:

We know

2.25 hours = 1 yard

13.5 hours = 6 yards

1/3 yard = 2.25 / 3 = 0.75 hours

To find how long it takes him to complete 6 1/3 yards, we take

13.5 + 0.75 = 14.25 hours

So, he spent 14.25 hours mowing yards.

Answer : I believe it's D

Your answer should be c, A logical arrangement of deductions that leads to the conclusion that a statement is always true.

It seems to be the most proper answer that we have been given.

Please give me brainliest i only need 2 more!

Answer:

C. 2x + 12

Step-by-step explanation:

2(10) + 2(x-4)

= 20 + 2x - 8

= 2x + 20 - 8

= 2x + 12

Answer:

Step-by-step explanation:

One of the Answers is C

Five number summary consist of b. First quartile, a. Standard deviation, c. Minimum value, e. Maximum value i Mode, h. Variance, f. Third quartile, j. Mean, g. interquartile range, d. median.

If the data are graphed symmetrically, the distribution demonstrates 0% skewness regardless of how long or fat the tails are. When the median of a data set is utilized, 50% of the data points in the collection have values lower than or equal to the median, and 50% of them have values greater than or equal to the median. The middle score in the set is known as the median. The first step in calculating the median is to order the data points from smallest to greatest. The median in an odd-numbered set will be the value that falls exactly in the middle of the list. You must determine the average of the two middle numbers in a set of even numbers. The average is determined by summing up each value individually and dividing that sum by the total number of observations.

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Answer:

first answer:-1.75

second:-15.75

third:-40.25

Step-by-step explanation:i am too lazy srry

The equivalent multiplier of 2.08% increase is 1.0208

To convert a given percentage into multiplier, first either add or subtract the percentage from 100 and, then convert it to a decimal.

Here given that the,

Percentage increase = 2.08%

Thus to find, an increase of 2.08% is equivalent to multiplier is ,

(100 + 2.08) / 100

= 102.08 / 100

= 1.0208

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Answer:

the area A of a triangle is given by the formula A=1\2 bh where b is the base and h is the height : solve the formula for the height.

1 answer

·

Top answer:

A=1/2 bh multipy 2 at both side of the equation 2A = bh divide b at both side , then we will get h h = 2A/b

Step-by-step explanation:

The average value fave using the formula fave = (1 / (b - a)) ∫[a,b] 7 sin(4x) dx. The definite integral of f(x) over the interval [a, b] is:

∫[a,b] 7 sin(4x) dx = -7/4 [cos(4x)] [from a to b]

To find the average value fave of the function f(x) = 7 sin(4x) on the given interval, we need to calculate the definite integral of the function over the interval and then divide it by the length of the interval.

The given interval is specified as [−, ], where the lower and upper limits are missing. To proceed with the calculation, we need the specific values for the lower and upper limits of the interval. Please provide the missing values so that we can compute the average value of the function.

Once we have the interval limits, we can calculate the definite integral of f(x) = 7 sin(4x) over that interval. The integral of sin(4x) with respect to x is evaluated as -cos(4x) / 4. Therefore, the definite integral of f(x) over the interval [a, b] is:

∫[a,b] 7 sin(4x) dx = -7/4 [cos(4x)] [from a to b]

Next, we need to find the length of the interval, which is given by b - a.

Finally, we can compute the average value fave using the formula:

fave = (1 / (b - a)) ∫[a,b] 7 sin(4x) dx

By plugging in the specific values for a, b, and evaluating the definite integral, we can calculate the average value fave of the function f(x) over the given interval.

Please provide the missing values for the interval, and I'll be able to assist you in finding the average value fave in a more specific manner.

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(a)If log₄​x = 5, the base is 4 and the logarithm is 5 , then x = 1024. (b) If log₆​x = 8 the base is 6 and the logarithm is 8  then x = 1679616.

(a) In the equation log₄​x = 5, the base is 4 and the logarithm is 5. To solve for x, we need to rewrite the equation in exponential form. In exponential form, 4 raised to the power of 5 is equal to x. Therefore, x = 4^5 = 1024.

(b) In the equation log₆​x = 8, the base is 6 and the logarithm is 8. Rewriting the equation in exponential form, 6 raised to the power of 8 is equal to x. Hence, x = 6^8 = 1679616.

In both cases, we used the property of logarithms that states: if logₐ​x = y, then a raised to the power of y equals x. By applying this property, we can convert the logarithmic equations into exponential form and find the values of x.

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The quotient of the division x - 3 | 4x^2 + 3x + 2 is 4x + 15

From the question, we have the following parameters that can be used in our computation:

x - 3 | 4x^2 + 3x + 2

Using the long division method of quotient, we have

x - 3 | 4x^2 + 3x + 2

The division steps are as follows

          4x + 15

x - 3 | 4x^2 + 3x + 2

          4x^2 - 12x

------------------------------------------------

              15x + 2

              15x - 45

------------------------------------------------

                        47

Hence, the quotient is 4x + 15

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Answer:

17

Step-by-step explanation:

If you get a 15% discount off of 20$

( 20 times .15 = 3 ) which gives us the discount amount.

you then minus the total by the discounted amount

( 20 - 3 = 17 )

Answer:

4(y-3)

4y-12

I hope this helped.

Answer:

2 x 2 x 2 x 2

Step-by-step explanation: 16 outcomes

The statement "P(A or B) = P(A) + P(B)" is False.

The correct statement is "P(A or B) = P(A) + P(B) - P(A and B)," which is known as the general law of addition for probabilities. This law takes into account the possibility of events A and B overlapping or occurring together.

The general law of addition for probabilities states that the probability of either event A or event B occurring is equal to the sum of their individual probabilities minus the probability of both events occurring simultaneously. This adjustment is necessary to avoid double-counting the probability of the intersection.

Let's consider a simple example. Suppose we have two events: A represents the probability of flipping a coin and getting heads, and B represents the probability of rolling a die and getting a 6. The probability of getting heads on a fair coin is 0.5 (P(A) = 0.5), and the probability of rolling a 6 on a fair die is 1/6 (P(B) = 1/6). If we assume that these events are independent, meaning the outcome of one does not affect the outcome of the other, then the probability of getting heads or rolling a 6 would be P(A or B) = P(A) + P(B) - P(A and B) = 0.5 + 1/6 - 0 = 7/12.

In summary, the general law of addition for probabilities states that when calculating the probability of two events occurring together or separately, we must account for the possibility of both events happening simultaneously by subtracting the probability of their intersection from the sum of their individual probabilities.

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The 99 percent confidence interval for the mean score of all subjects lies greater than 63.464 and less than 78.936.

Given:

No. of samples (n)= 16

df = n-1 = 16 -1 = 15

The mean score is 71.2

The standard deviation = 10.5.

So, from the t-distribution of critical values table through the above-mentioned details. We get the values:

Alpha / 2 = 0.005

z = 99/100 + 0.005 = .99 + .005 = .995

Sample mean = xbar = 76.2

t = 2.947

The formula for standard error = E = value of t (at z, and df) / S.D./sqrt(n)

i.e. E = 2.947 x 10.5 / sqrt 16 = 7.736

I = 71.2 +/- E =  71.2 +/-  7.736

99 percent confidence interval - 71.2 +/- 7.736

Adding both sides 7.736 for range. We get,

63.464 < u < 78.936

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Answer:

Step-by-step explanation:

Because changing from centimeters to meters does not affect the value of the correlation, the correlation will remain 0.964.

The effect does have on the correlation of the two variables should be that it remain the same i.e. 0.964.

Since there is the changing from centimeters to meters so this does not impact the correlation value due to which it remain the constant i.e. 0.964.

Also, the correlation coefficient should be unit -less and the value should always ranged between -1 to 1.

Therefore, it remains the constant.

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Answer:

6

Step-by-step explanation:

Answer:

20% and Rate

Step-by-step explanation:

percent is associated with "is" ex (18 is what)

base is associated with "of" ex( of 90)

Rate is (what percent)

you are missing the rate

P=B*R

18=90*R

18=90*R

18/90=(90*R)/90

0.2=R

0.2*100 =20%

Answer:

8

Step-by-step explanation:

4/9 of 18 is 8

Answer:

1. 130°

2. corresponding

3. congruent

Step-by-step explanation: