What are the values of x and y

9514 1404 393

Answer:

Step-by-step explanation:

Angles are related in this geometry by being either congruent or supplementary. Corresponding and vertical angles are congruent; any linear pair of angles is supplementary.

The given angle 5 is on the southwest corner of the intersection of the parallel line with the transversal. All southwest and northeast angles are congruent to that. That is, angles 4, 5, 6, 7, 8, 9 will all have the same measure. The remaining angles will have the supplementary measure.

Angles 4, 5, 6, 7, 8, 9 are 82°

Angles 1, 2, 3, 10, 11, 12 are 98°

_____

As you know, supplementary angles total 180°, so each is found by subtracting the other from 180°: 180° -82° = 98°.

Answer:

obtuse

Step-by-step explanation:

Let 5 = a, 7 = b, 10 = c

if a^2 + b^2 = c^2, then the triangle is a right triangle by the converse of the Pythagorean Theorem

If a^2 + b^2 > c^2, then the triangle is an acute triangle by Theorem 8-4

if a^2 + b^2 < c^2, then the triangle is an obtuse triangle by Theorem 8-3

a^2 = 25

b^2 = 49

c^2 = 100

25 + 49 < 100, therefore the triangle is an obtuse

Answer:

y = 2x² - 72 = 0

Step-by-step explanation:

2(x - 6)(x + 6) = 0

2(x² - 36) = 0

2x² - 72 = 0

The quadratic equation with roots 6 and -6 and a leading coefficient of 2 is 2x² - 72 = 0 represents the quadratic equation.

A quadratic equation with roots at 6 and -6 can be written in factored form as:

(x - 6)(x + 6) = 0

To find the quadratic equation with the leading coefficient of 2, we multiply both sides of the equation by 2:

2(x - 6)(x + 6) = 0

Expanding the equation:

2(x² - 36) = 0

Distributing the 2:

2x² - 72 = 0

Therefore, the quadratic equation with roots 6 and -6 and a leading coefficient of 2 is:

2x² - 72 = 0

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Answer:

= 50

Step-by-step explanation:

Answer:

B. A regular polygon is a shape with sides that are all equal to each other.

We see that for shape B, the sides are not equal to each other, as some sides are longer than others.

Hope this helps!

Answer:

120

Step-by-step explanation:

We know that 36 is 30% of total items

So our equation would be 36/? = 30/100

From there we cross multiply so 36x100 = 3600

From there, we divide 3600 by 100

Therefore, your answer is 120

Answer: y+1 = -2(x-2) is the correct answer

Step-by-step explanation: I just took the exam :)

Answer:

48 units

Step-by-step explanation:

36 is 75% of what number

36 = .75n

n = 36/.75

n = 48

Answer:

Beck actually caught 45 fish

Step-by-step explanation:

System of Equations

We call the following variables:

x = number of fish Ally caught

y = number of fish Beck caught

They caught a total of 75 fish, thus:

x + y = 75      [1]

If Ally had caught twice as much fish as she actually did, and Beck had caught three times as many fish as he actually did, then Ally would have caught 75 fewer fish than Beck, thus:

3y = 2x + 75      [2]

From [1]:

x = 75 - y      [3]

Substituting in [2]:

3y = 2(75 - y) + 75

Operating:

3y = 150 - 2y + 75

Simplifying:

5y = 225

Dividing by 5:

y = 45

Beck actually caught 45 fish

Answer:

Beck caught 45 fish

Step-by-step explanation:

a = number of fish Ally caught

b = number of fish Beck caught

They caught a total of 75 fish, so we have:

b + a = 75  

From the facts in our question we know Ally would have caught 75 fewer fish than Beck.

3b = 2a + 75  

a = 75 - b

3b = 2(75 - b) + 75

3b = 150 - 2b + 75

5b = 225

5b ÷ 5 = 225 ÷ 5

b = 45

Beck caught 45 fish.

Answer:

1 8/21

Step-by-step explanation:

5/7 = 15/21

2/3 = 14/21

15/21+14/21=29/21

Answer:

15 is answers

x=5

Step-by-step explanation:

4x-5

4×5-5

20-5

15

Answer:

can you zoom in on the questions?

Step-by-step explanation:

Answer:

No, no puedo ayudarte aunque te deseo buena suerte

Answer:

the price !!

Step-by-step explanation:

the price of donut holes depends on the number of them!! you cant tell the price without the donuts !!

a way to think of it could be "the price can't exist without the product (the donuts) so, the price dependent on the donuts. its the dependent!"

i really hope this helps!

Answer:

x = 19/22

Step-by-step explanation:

8x-12+36x = 26

44x - 12 = 26

44x = 38 (add 12 on both sides)

x = 19/22 (divide bot sides by 44 and simplify)

Answer:

The prevalence rate of flu cases requiring hospitalization thus far in 2018 is:

= 0.13%

Step-by-step explanation:

a) Data and Calculations:

Population of Portland, ME = 70,000

Number of flu cases requiring hospitalization on February 1st, 2018 = 43

Number of flu cases requiring hospitalization on July 4th, 2018 = 90

The prevalence rate of flu cases requiring hospitalization thus far in 2018 = 90/70,000 * 100 = 0.13%

b) The prevalence rate represents the proportion of the population of Portland, ME, who have the flu at the time that the Maine Public Health Department reported the number of flu cases requiring hospitalization on July 4th, 2018.

Answer:

x<-10

Step-by-step explanation:

You can write this inequality:

5-x>15

Solving it:

5-x>15

-x>10

x<-10

For f to be continuous at some point x = c, you require that

• f(c) exists and is finite, and

• the limits of f as x approaches c from either side match, and their value must be f(c)

For f to be differentiable at x = c, you require that

• f is continuous at c (i.e. the above conditions are all met), and

• the derivative f ' is continuous at c

Without having the graph of f ', you can assess whether the last condition is met by some function by mentally tracing a tangent line to the graph as you get closer to c. If the slope of the tangent doesn't change, then the function is differentiable. This is usually accompanied by jumps or sharp corners in the graph.

Some examples:

• every polynomial is both continuous and differentiable

• the absolute value function |x| is continuous but not differentiable at x = 0

• 1/x is neither continuous nor differentiable at x = 0

(a) Neither continuous nor differentiable

Why? f has a vertical asymptote at x = -2 and f (-2) does not exist. f is not continuous, and therefore not differentiable.

(b) Neither continuous nor differentiable

Why? From the left, f is approaching 2.5, while from the right, it's approaching 5.

(c) Neither continuous nor differentiable

Why? The limits from either side of x = 2 match and are equal to 0.5, but f (2) itself does not exist (which is indicated by the point being a hollow circle).

If the circle was instead filled in, so that f (2) = 0.5, then f would be continuous there, but still not differentiable. Notice the sharp corner. Or, using the tangent-line analysis, the slope of the tangent to the left of x = 2 is negative, but to the right it would be positive.

(d) Both continuous and differentiable

Why? f doesn't have any special features at x = 3 that would suggest it's not continuous nor differentiable.

(e) Neither continuous nor differentiable

Why? Similar reasoning as in (a). There's another vertical asymptote, but the graph shows f (4) = 1. However, the limits from either side of x = 4 are positive infinity, not 1.

Answer:

The answer is 30%

Step-by-step explanation:

((5-3.5)/5) × 100%

Answer:

30%

Step-by-step explanation:

the other guy is right

Answer:

4x² + 16x + 15 = 0

Step-by-step explanation:

We'll begin by determining the solutions to the graph.

The solutions to the graph is obtained by taking the values where the graph cut through the x–axis. This is illustrated below:

The solutions to the graph are:

x = –1.5 or –2.5

Finally, we shall determine the equation for the graph as follow:

x = –1.5 or x = –2.5

x = –3/2 or x = –5/2

Cross multiply

2x = –3 or 2x = –5

Rearrange

2x + 3 = 0 or 2x + 5 = 0

Combine

(2x + 3)(2x + 5) = 0

Expand

2x(2x + 5) + 3(2x + 5) = 0

4x² + 10x + 6x + 15 = 0

4x² + 16x + 15 = 0

Thus, the equation for the graph is:

4x² + 16x + 15 = 0

Answer:

77 = m∠D  =  m∠E

Step-by-step explanation:

In a triangle the sum of the measures of the angles = 180.  So m∠D  + m∠E + m∠F = 180

Let  m∠D = m∠E = x

Then x + x + 26 = 180

2x + 26 = 180

2x = 154

x = 77 = m∠D  =  m∠E

Answer:

[tex]y = 4x[/tex]

Step-by-step explanation:

Given

[tex]x = 44[/tex]

[tex]y = 176[/tex]

Required

Determine the relationship between x and y

First, we calculate the unit rate, using:

[tex]y = kx[/tex]

Where k is the unit rate.

Substitute 176 for y and 44 for y

[tex]176 = k * 44[/tex]

Divide both sides by 44

[tex]\frac{176}{44} = \frac{44*k}{44}[/tex]

[tex]\frac{176}{44} = k[/tex]

[tex]4 = k[/tex]

[tex]k = 4[/tex]

Substitute 4 for k in [tex]y = kx[/tex]

[tex]y = 4x[/tex]

Hence, the relationship between x and y is: [tex]y = 4x[/tex]

Answer:

x=5

Step-by-step explanation:

subtract 4x from both sides

7x-4x=4x-4x+15

3x=15

divide by 3 on both sides

3x/3=15/3

x=5

Answer: 11/12 or if you want to pit it in decimal

Use 0.90

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

7 5/6 x3 =23.5

Answer:

The cost of one admission ticket is 47.5