Item 1
Use the figure to find the measures of the numbered angles.

Parallel lines a and b are intersected by a transversal t. Angle 1 and angle 99 degrees are supplementary angles. Angle 1 and angle 3 are vertical angles. Angle 2 and angle 99 degrees are vertical angles. Angle 99 degrees and angle 4 degrees are corresponding angles on the same side of the transversal. Angle 1 and angle 5 are corresponding angles on the other side of the transversal. Angle 5 and angle 7 are vertical angles. Angle 6 and angle 4 are vertical angles.

Answer:

x = 12.5

Step-by-step explanation:

From the diagram,

Applying

tanФ  = Opposite/Adjacent...................... Equation 1

From the diagram,

Given: Opposite = 16, Adjacent = x, Ф = 52°

Substitute these values into equation 1

tan52° = 16/x

make x the subject of the equation

x = 16/tan52°

x = 16/1.27994

x = 12.5.

Answer:

A cubic function

Step-by-step explanation:

I graphed it and connected the lines on desmos then compared to the types of calculus graphs on the search engine.

Answer:

8p=c

Step-by-step explanation:

For questions like this, it isn't asking for a numerical answer or anything complicated. It's mainly just using common sense and figuring out what you would do if you had actual numbers instead of variables. You would multiply the amount of pounds (p) by the cost per pound of $8, and that would be your answer (c). I hope I could help.

Answer:

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.

This means that [tex]n = 533, \pi = \frac{351}{533} = 0.6585[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 - 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6247[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 + 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6923[/tex]

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

Answer:

Probability [Both ball red without replacement] = 26 / 77

Step-by-step explanation:

Given:

Number of white ball in beg = 6 balls

Number of black ball in beg = 3 balls

Number of red ball in beg = 13 balls

Find:

Probability [Both ball red without replacement]

Computation:

Probability of first red ball = Number of red ball in beg / [Total balls in beg]

Probability of first red ball = 13 / [6 + 3 + 13]

Probability of first red ball = 13 / 22

Probability of Second red ball = Number of remaining red ball in beg / [Total balls in beg without replacement]

Probability of Second red ball = [13 - 1] / [6 + 3 + 12]

Probability of Second red ball = 12 / 21

Probability [Both ball red without replacement] = [Probability of first red ball][Probability of Second red ball]

Probability [Both ball red without replacement] = [13/22][12/21]

Probability [Both ball red without replacement] = 26 / 77

Answer: x=23/30

Step-by-step explanation: Hope this help :D

Answer:

I heard it's not b

Step-by-step explanation:

was A the correct answer?

Answer:

3/7

Step-by-step explanation:

You want to seperate the numbers from the variable.

Answer:

subject?

Step-by-step explanation:

Answer:

Hey! Sorry im too late lol but here-

Step-by-step explanation:

Example of tangent in the real world-

When a stone gets tied at one end of a string & the other end is rotated, then the stone will form a circle.

How you know the tangent and radius are perpendicular:

The radius is formed vertically and is completely straight, while the tangent is completely straight but horizontal. You can draw a right triangle angle between the radius and tangent line by adding a third line, and a right angle is 90 degrees. So, this forms a perpendicular line.

Hope this helped :))

Part A: The path of the ball in relation to the curved path of the thrower

Part A: The path the ball takes is perpendicular to the hand, bat or feet  at the point of last contact

Reason for the selection:

Part A

A real world example of tangents is the direction of a ball immediately it is released and the circular path of the motion, that provides the force input that is given to the ball to cause it to move in the required direction

The tangent is the path the ball takes immediately it is moving without contact to the bat, hand or feet that causes it to move

The circular path is the motion of the hand, leg, bat or feet that makes before the ball is released

The radius is the hand, leg, or bat that rotates in a circular path, so as to move the ball

Part B

How the radius is perpendicular to the tangent

The radius, such as the leg kicking a ball is perpendicular to the tangent of the which is the path of the ball because a kick to send the ball into air, the orientation of leg at the point the ball leaves is perpendicular to the angle of elevation with which the ball is launched

Learn more about tangents here:

https://brainly.com/question/16300584

Answer: 5

Step-by-step explanation:

Answer:

4 ssquare units

Step-by-step explanation:

Answer:

-6 + 2 = -4

Step-by-step explanation:

-6 + 2 = -4

Answer:

60  36   24

Step-by-step explanation:

5             3            2

25x +9x + 4x =   5472

38x  = 5472

x =  144

25(144) = 3,600         9(144) = 1,296           4(144) = 576

  60²  = 3,600                   36²= 1,296               24² = 576

3,600 + 1,296+576 =  5,472

Answer:

3 tenths

Step-by-step explanation:

Answer:

38 stickers

Step-by-step explanation:

20+27=47

47+6=53

53-4=49

49-11=38

20+27+6-(4+11)=38 stickers

Answer:

11

Step-by-step explanation:

Scale factor 0.5 means 1/2

so multiply base length with scale factor

22×0.5 = 11

Answer:

Step-by-step explanation:

c^2 = a^2 - b^2

13^2 - 5^2 = -12

Answer:

Step-by-step explanation:

Answer:15-2x=-45

15-2=13

13=-45

Step-by-step explanation:

I hope that helps you!

Answer:

x = 30

Step-by-step explanation:

15 - 2x = -45

+ 2x to both sides

15 = 2x - 45

+ 45 to both sides

60 = 2x

divide both sides by two

x = 30

Answer:

(n-4)(n-7)

Step-by-step explanation:

hopefully that helps

Answer:

C = 81.69 ft

Step-by-step explanation:

Given the following data;

Diameter = 26 ft

To find the circumference of a circle;

Mathematically, the circumference of a circle is given by the formula;

Circumference of circle, C = πd

Where;

d represents the diameter of the circle.

Substituting into the formula, we have;

C = 3.142 * 26

C = 81.69 ft

Given:

The expression is:

[tex]2.74x-7.9[/tex]

To find:

The expressions that can be set equal to the given expression to form an equation that has no solution.

Solution:

We have,

[tex]2.74x-7.9[/tex]                     ...(i)

An expression whose constant term is different from the given expression but the variable term is same as the given expression, i.e., 2.74, is the required expression.

The expression with same variable term and different constant term is:

[tex]2.74x+7.9[/tex]                    ...(ii)

Because on equating (i) and (ii), we get

[tex]2.74x-7.9=2.74x+7.9[/tex]

[tex]-7.9=7.9[/tex]

This statement is false for any value of x. So, the equation [tex]2.74x-7.9=2.74x+7.9[/tex] has no solution.

Therefore, the correct option is C.

Answer:

Let's solve for h.

y=a3x−h+k

Step 1: Flip the equation.

a3x−h+k=y

Step 2: Add -a^3x to both sides.

a3x−h+k+−a3x=y+−a3x

−h+k=−a3x+y

Step 3: Add -k to both sides.

−h+k+−k=−a3x+y+−k

−h=−a3x−k+y

Step 4: Divide both sides by -1.

−h

−1

=

−a3x−k+y

−1

h=a3x+k−y

Answer:

h=a3x+k−y

Let's solve for k.

y=a3x−h+k

Step 1: Flip the equation.

a3x−h+k=y

Step 2: Add -a^3x to both sides.

a3x−h+k+−a3x=y+−a3x

−h+k=−a3x+y

Step 3: Add h to both sides.

−h+k+h=−a3x+y+h

k=−a^3x+h+y

Answer:

k=−a^3x+h+y

Step-by-step explanation:

The required values are h = 1 and k = 4 the given cube root function.

The cube root function is a function that takes the cube root of its input. The formula for the cube root function is:

f(x) = ∛x

The graph is given in the question, as shown.

To find the symmetric center of the cube root function, we need to find the point on the function that is equidistant from the two opposite sides of the function graph.

Since the given cube root function is an odd function, it is symmetric about the point (1, 4).

So, the symmetric center of the cube root function is the point (1, 4).

Thus, h = 1 and k = 4

Therefore, the required values are h = 1 and k = 4 the given cube root function.

Learn more about the cube root function here:

https://brainly.com/question/29082141

#SPJ2

The complete question would be as:

Answer:

x - y = 3(x + 2)

Step-by-step explanation:

The difference of x and y is the same as 3 times the sum of x and 2

x - y = 3(x + 2)

x - y = 3x + 6

9514 1404 393

Answer:

  a. the volume of cube y is 125 times the volume of cube x

Step-by-step explanation:

The volume of cube x is ...

  V = s³ = (1 in)³ = 1 in³

The volume of cube y is ...

  V = (1 in + 4 in)³ = (5 in)³ = 125 in³

The volume of cube y is 125 times the volume of cube x.

Answer:

1539.4 rounded

Step-by-step explanation:

Have a great day

Answer:

(-5,-10)

it is in quadrant 3 (quadrant III)

Step-by-step explanation:

Mark as Brainliest

Answer:

(-5,-10) In Quadrant III

Step-by-step explanation:

When reflecting a point accross the x-axis, the y-coordinate of the point changes signs

Ex. Positive to Negative and vice versa

Therefore, (-5,10) reflected accross the x-axis becomes (-5,-10)

Since both x and y coordinates are negative, the point falls in the third quadrant, or Quadrant III

Answer: 1 minute and 43 seconds faster

Step-by-step explanation:

Answer:

1 minute and 43 seconds faster

Step-by-step explanation: