Given that the measure of ∠x is 30°, and the measure of ∠y is 60°, find the measure of ∠z.

Final answer:

The reflection of point (4, -2) across the y-axis is (-4, -2), and the reflection of point (7, -4) across the x-axis is (7, 4).

Explanation:

When a point is reflected across the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. Therefore, the reflection of the point (4, -2) across the y-axis is (-4, -2).

Similarly, when a point is reflected across the x-axis, the y-coordinate changes sign while the x-coordinate remains unchanged. This means the reflection of the point (7, -4) across the x-axis is (7, 4).

Answer:

yes you are correct 50 is 5 times as many as 10 because 10 times 5 is 50 thank me later

Step-by-step explanation:

The statement is indeed correct: 50 is 5 times as many as 10. This understanding comes from the powers-of-ten notation system. We can also relate this to the concept of order of magnitude; the order of magnitude of 50 is 10², providing an approximation of its size in powers of ten.

The question is asking if the number 50 is 5 times as many as 10. In mathematics, if you multiply 10 by 5, you do get 50, so the statement is indeed correct. This concept is part of multiplication and understood by using the powers-of-ten notation system, which is based on increases of ten.

The powers-of-ten notation system is the basis of our counting system, where each digit's place is ten times greater than the digit to its right. This notation system is used because humans have ten fingers and started counting with them.

An interesting approach is to relate this to order of magnitude. The order of magnitude of 50 is 10² because it's closer to 10² (100) than 10³ (1000). The order of magnitude only changes when you pass the square root of 10 (~3.16). Since 5 is greater than 3.16, when you multiply it by 10, it surpasses 10² (100), giving the order of magnitude as 10³. This is slightly off from the actual value of 50, illustrating how order of magnitude provides an approximation, not an exact value.

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Answer:

417÷3=139 Batteries for all cars

Answer: 1,251 batteries

Step-by-step explanation: 417x3=b

417x3=1,251

Answer:

8 inches

Step-by-step explanation:

if the house is actually 96 feet then you would have to divide 96 by 12 since the question states that one inch equal 12 feet and by dividing you would come up with the length by inches for the blueprint.

96/12=8

Answer:

um, 49....

Step-by-step explanation:

where is B and what happened to C

Answer:

23/50

Step-by-step explanation:

.46

There are 2 numbers after the decimal so we put it over 1 plus 2 zero's

46/100

Divide the top and bottom by 2

46/2 = 23

100/2 = 50

23/50  

This is simplest form since 23 is prime and it does not go into 50 evenly

A point on anywhere on the circumference of a circle that is distant from the center of the circle equals the: radius.

The radius of a circle is the distance from the center of a circle from any point on the circumference of the circle.

Therefore, any point that is on a circle with the distance to the center of the circle equals: C. radius.

Learn more about the radius on:

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Answer:

a) Overall average = 76%

b) Average of first and sixth marks = 75%

Step-by-step explanation:

Let's call the marks a, b, c, d, e and f, in this order.

Then, we can write the following equations:

(a+b)/2 = 0.72 -> a + b = 1.44 (eq1)

(b+c)/2 = 0.75 -> b + c = 1.5 (eq2)

(c+d)/2 = 0.77 -> c + d = 1.54 (eq3)

(d+e)/2 = 0.78 -> d + e = 1.56 (eq4)

(e+f)/2 = 0.79 -> e+ f = 1.58 (eq5)

If we sum all equations, we have:

a + 2b + 2c + 2d + 2e = f = 7.62 (eq6)

Then, we make (eq6) - (eq2) - (eq4):

a + b + c + d + e + f = 4.56 (eq7)

a) The find the overall average, we just need to divide (eq7) by 6:

Overall average = (a + b + c + d + e + f)/6 = 0.76 = 76%

b) First we need to make (eq7) - (eq2) - (eq4):

a + f = 1.5

Then, the average is:

Average = (a+f)/2 = 0.75 = 75%

Final answer:

The overall average of the six marks is 63.5%, and the average of the first and sixth marks is 75.5%. The calculation involves setting up algebraic equations from the given average pairs and solving for the totals and individual marks.

Explanation:

To calculate the overall average and the average of the first and sixth marks, we need to use some algebra. Since we know the average of the first two, second two, and so on, we can set up equations to find the individual scores.

Let the individual marks be represented as A, B, C, D, E, and F. From the given information, we can say:

(A + B) / 2 = 72

(B + C) / 2 = 75

(C + D) / 2 = 77

(D + E) / 2 = 78

(E + F) / 2 = 79

To find the overall average, sum all equations:

A + B = 144

B + C = 150

C + D = 154

D + E = 156

E + F = 158

Adding all these together, we get 2(A + B + C + D + E + F) = 762. Then, the total sum of the six marks A + B + C + D + E + F = 381. The overall average is 381 divided by 6, which equals 63.5%

To find the average of the first and sixth marks, we can use the first and last equations we have set up:

A + B = 144

E + F = 158

Now we add the two to get A + B + E + F = 302. However, we need only the sum of A and F. Since A + B + C + D + E + F = 381, we can subtract the sum of B, C, D, and E, which we find from the other equations:

Subtract (B + C + D + E) from 381 (Total sum), we get:
381 - (150 + 154 + 156)/2 = 381 - 230 = 151

This leaves A + F = 151. Dividing by 2, we get that the average of the first and sixth marks is 75.5%

Answer:

[tex]3n[/tex]

Step-by-step explanation:

If the initial number is n, one less than n is n - 1, and one more than n is n + 1. so we have:

[tex]n - 1 + n + n + 1=3n[/tex]

At first I thought this answer was too easy, so I tried for n is 6.

[tex]3*6=18\\5+6+7=18[/tex]

This is really cool! Hope this helps!

Answer:

Dont count me if I'm wrong but if you divide 225 by 30 you get 7.5

So your answer should be 7.5

Step-by-step explanation:

The submarine's speed in feet per second is 7.5 feet per second.

The submarine's speed in feet per second can be calculated by dividing the distance traveled by the time taken. In this case, the submarine sank 225 feet in 30 seconds, so its speed would be 225 feet / 30 seconds = 7.5 feet per second.

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Answer:

2 6 10 14

Explanation:

Nth term works by having n as the term's place in the sequence.

So the first term , n=1 and you work it out from there

Second term, n=2 and you work it out from there

And so on

So:

4×1 = 4 - 2 = 2

4×2 = 8 - 2 = 6

4×3 = 12 - 2 = 10

4×4 = 16 - 2 = 14

Answer:

4

Step-by-step explanation:

If two variables are proportional then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]    ...(i)

where, k is constant of proportionality.

The given equation is

[tex]s=4c[/tex]       ...(ii)

where,

s = number of cups of seltzer.

c = cups of cranberry juice.

On comparing (i) and (ii), we get

Independent variable: [tex]x=c[/tex]

Dependent variable: [tex]y=s[/tex]

Constant of proportionality: [tex]k=4[/tex]

Therefore, the constant of proportionality is 4.

Answer:

The answer is 0

Step-by-step explanation: The question can be rewritten to 19-19 so the answer would be 0

Answer:

here

x = -19 + 19

  = 0

the value of x is 0.

Step-by-step explanation:

Answer: 6.25.

Step-by-step explanation:

Let's put your question into a proper proportional form, because it is a ratio that is equal.

[tex]\frac{5}{12} = \frac{x}{15}[/tex]

To solve proportions, you have to cross-multiply in the direction that has numbers, which is 5 and 15, then divide to 12.

[tex]5 * 15 / 12 = 6.25[/tex]

The answer you should get by doing this is 6.25.

Answer:

x=6.25

Step-by-step explanation:

Cross multiply

5/12=x/15

12*x=15*5

12x=75

Divide both sides by 12 to isolate the variable x

x=6.25

Or, multiply both sides by 15 to "reverse" the division being done to x

5/12=x/15

15*5/12=x/15*15

6.25=x

(3) KC

Step-by-step explanation:

This is because KC would be a radius and a radius has one end point on the circle while the other is inside. Chords would have both endpoints on the circle.

Final answer:

The segment KC is not a chord of circle K because the center of a circle is not on the circumference, thus KC does not connect two points on the circle's edge like AC, BC, and AB.

Explanation:

A chord in a circle is defined as a line segment with both endpoints on the circle. Given a circle K with points A, B, and C on its circumference, the line segments AC, BC, and AB would all be considered chords of circle K, because they connect two points on the circle's circumference. However, KC cannot be a chord because point K is described as the center of the circle, not a point on its circumference.

Answer:

the greatest common factor here is 5, because 5 is it's own biggest number that is a factor of 15. so factoring this problem using 5 (gcf), would leave you with 5(x-3) because you divided each number by the gcf (5)

The horizontal asymptote is at y=4, shown by the green dashed line. This indicates the behavior of the function as x becomes very large in magnitude.

The blue dot marks the y-intercept at (0,6).

To find the graph that represents the function [tex]\( f(x) = \frac{2}{x-1} + 4 \)[/tex], let's analyze its characteristics step by step:

1. Identify the Type of Function

The function [tex]\( f(x) = \frac{2}{x-1} + 4 \)[/tex] is a rational function, specifically a transformed version of the reciprocal function.

2. Vertical Asymptote

The denominator [tex]\( x - 1 = 0 \)[/tex] gives the vertical asymptote, which is [tex]\( x = 1 \)[/tex]. This means the graph will approach but never touch the line [tex]\( x = 1 \)[/tex].

3. Horizontal Asymptote

For large values of x, the term [tex]\( \frac{2}{x-1} \)[/tex] approaches zero. Thus, the horizontal asymptote is determined by the constant term, which is [tex]\( y = 4 \)[/tex].

4. Y-Intercept

To find the y-intercept, set [tex]\( x = 0 \)[/tex]:

[tex]\[ f(0) = \frac{2}{0-1} + 4 = 2 + 4 = 6 \][/tex]

So, the y-intercept is at (0, 6).

5. Behavior around Asymptotes

6. Additional Points

It might be helpful to calculate the function's value at a couple of additional points for a more accurate graph. For instance, calculate [tex]\( f(2) \)[/tex] and [tex]\( f(-1) \)[/tex].

7. Sketching the Graph

Considering these characteristics, the graph:

Here is the graph of the function [tex]\( f(x) = \frac{2}{x-1} + 4 \)[/tex]. As analyzed:

(Graph is give below)

It has a vertical asymptote at x=1, represented by the red dashed line. The function goes to negative infinity as x approaches 1 from the left and to positive infinity as x approaches 1 from the right.

The complete question is here:

Which graph represents the function [tex]$f(x)=\frac{2}{x-1}+4$[/tex] ?

Answer:

Step-by-step explanation:

hello :

h(x) = x² – 5x + 7

h(-2) = (-2)² – 5(-2) + 7 =4+10+7 =21

h(-5) = (-5)² – 5(-5) + 7= 25+25+7 =57

h(-8) = (-8)² – 5(-8) + 7 = 64+40+7=111

Answer:

49 is equal to 7 times 7

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

First find out how many gumballs there are in total. In this case, 70. Then see how many there are of the thing you are trying to find the probability of getting, in this case, 14. Finally see how many times the smaller goes into the larger, in this case, 5. There is a 1 in 5 chance, also known as 20%

Answer:

20% or 1/5

Step-by-step explanation:

24 + 5 + 18 + 14 + 9 = 70

14/70 = 1/5 = 0.2 = 20%

Answer:

32.59

That's what my calculator said

also I use acellus too Hi friend!

Answer:

32.59

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]

where a is the first term and r the common ratio )

4[tex](\frac{8}{9}) ^{n-1}[/tex] ← is the n th term expression

with a = 4 and r = [tex]\frac{8}{9}[/tex]

The sum of n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a(1-r^n)}{1-r}[/tex], thus

[tex]S_{20}[/tex] = [tex]\frac{4((1-\frac{8}{9}) ^{20}) }{1-\frac{8}{9} }[/tex]

      = [tex]\frac{4(1-\frac{8^{20} }{9^{20} } )}{\frac{1}{9} }[/tex]

      = 36( 1 - 0.0948)

      = 36(0.905)

      = 32.59 ( to the nearest hundredth )

Answer:

(x+3)m

Step-by-step explanation:

Area of a rectangle = Length × width

Given the area = (x²-9)m²

Width = (x-3)m

Length of the rectangle = Area/Width

Length of the rectangle = x²-9/x-3

= x²-3²/x-3

Note that according to different of two square, a²-b² = (a+b)(a-b)

Therefore x²-3² = (x+3)(x-3)

Length of the rectangle

= (x+3)(x-3)/x-3

= x+3

The length of the rectangle is (x+3)m

The expression representing the length of the rectangle is (x - 3) meters.

To find the length of the rectangle, you need to divide the given area by the width.

In this case, the area of the rectangle is represented by the expression x^2 - 9x, and the width is represented by the expression x - 3.

So, you can find the length by dividing the area by the width:

Length = Area / Width

Length = (x^2 - 9x) / (x - 3)

Now, let's simplify this expression. You can factor the numerator:

x^2 - 9x = x(x - 9)

So, the expression for the length becomes:

Length = (x(x - 9)) / (x - 3)

Now, you can cancel out the common factor of (x - 9) in the numerator and denominator:

Length = x

Therefore, the length of the rectangle is simply x meters.

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Option A, F(x) = x, is the correct linear parent function because it represents a straight line with a slope of 1 that passes through the origin.

The linear parent function is the simplest form of a linear equation, which is described by a straight line with a slope of 1 and goes through the origin (0,0) on a coordinate plane. Among the options given, the correct answer is A. F(x) = x. This function represents a straight line that has a slope (gradient) of 1 and passes through the origin, making it the parent function for all linear equations. Options B, C, and D are not linear parent functions; B represents a linear function with a y-intercept of 1, C is a reciprocal function, and D is a quadratic function.

Answer:

The answer that is responded to this one is what you should get

Step-by-step explanation:

Answer:

x = 3 and y = 2

Step-by-step explanation:

I graphed both equations on the graph below.

If this answer is correct, please make me Brainliest!

Answer:

d) The z-value is -0.31

Step-by-step explanation:

-Given that Natalia's saving is $470,  mean claim amount is $490 and the standard deviation is $65

-Let Natalia's savings be X

#The z-value is calculated using the formula:

[tex]z=\frac{X-\mu}{\sigma}\\\\=\frac{470-490}{65}\\\\=-0.30\approx -0.31[/tex]

Hence, Natalia's z-value is -0.31

Answer:

[tex]18 0 - 60 = 120 \\ \\ \frac{120}{360} \times \pi {r}^{2} \\ \frac{1}{3} \times 3.14 \times 4 \times 4 \\ = 16.75 {u}^{2} [/tex]

Answer B is correct.

Answer: last one

Step-by-step explanation:

Did it

Answer:

c

Step-by-step explanation:

just did it

Answer:

[tex]f(x) = |x+6|[/tex]

Step-by-step explanation:

Let be [tex]f(x) = |x|[/tex] the parent absolute value function. A translation of such function has the form of [tex]f(x) = |x-k|[/tex], where [tex]k \in \mathbb{R}[/tex]. Then, the right choice is:

[tex]f(x) = |x+6|[/tex]

Answer:

A = a^2 + 2a * √((a^2)/4 + h^2)

Step-by-step explanation:

This is the overall formula because I don't see the attachment for any pyramid

The answer is 200 ft²