Find the measure of the third angle in each of the following triangles. The triangles are not drawn to scale.
a.
A triangle has two of its angles labeled 60 degrees and 60 degrees.
b.
A right triangle has the angle between the hypotenuse and one of the legs labeled 30 degrees.
a. The measure of the missing angle is
nothing. ​(Simplify your​ answer.)
b. The measure of the missing angle is
nothing. ​(Simplify your​ answer.)

Answer:

1 1/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

n = 41

There are 41 students on each bus.

Answer:

Line A is represented by the function f(x) = 2x + 1.

Step-by-step explanation:

9514 1404 393

Answer:

  A

Step-by-step explanation:

Reflection across a line reverses the orientation of the figure from CW to CCW, or vice versa. Each point on the image is the same distance from the line of reflection as the corresponding point on the preimage.

These characteristics are manifested in figure A.

__

Figure B represents a translation to the right; Figure C represents both rotation and translation. Figure D is translation up and to the right.

_____

Additional comment

When vertices of a figure are labeled, their orientation (CW or CCW) is easy to identify. When they are not, it isn't always easy. It helps when the figure has no particular symmetry, as here. We can, for example, consider the sides in order from shortest to longest. That would make the orientation CCW on the left of figure A, and CW on the right. Figure A is the only figure in which the orientation changes.

  CW=clockwise; CCW=counterclockwise

Answer:

Sum: 17 + 11 = 28

Difference: 17 - 11 = 6

Step-by-step explanation:

The sum of x and y is 28. In other words, x plus y equals 28 and can be written as equation A:

x + y = 28

The difference between x and y is 6. In other words, x minus y equals 6 and can be written as equation B:

x - y = 6

Now solve equation B for x to get the revised equation B:

x - y = 6

x = 6 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 28

6 + y + y = 28

6 + 2y = 28

2y = 22

y = 11

Now we know y is 11. Which means that we can substitute y for 11 in equation A and solve for x:

x + y = 28

x + 11 = 28

X = 17

Summary: The sum of two numbers is 28 and their difference is 6. What are the two numbers? Answer: 17 and 11 as proven here:

Sum: 17 + 11 = 28

Difference: 17 - 11 = 6

Answer:

17 +11 = 28

hope this helps

13/51 hours per pound

EXPLANATION

= 2 3/5 hours : 10 1/5 pound

= 13/5 hours : 51/5 pound

= 13/5 × 5/51 hours per pound

= 65/255 hours per pound

= 13/51 hours per pound

#LearnWithEXO

The given curve has equation

r(θ) = 9 + 8 cos(θ)

and its derivative is

dr/dθ = -8 sin(θ)

When θ = π/3, we have r (π/3) = 13, and dr/dθ (π/3) = -4√3.

Differentiate these with respect to θ :

dy/dθ = dr/dθ sin(θ) + r(θ) cos(θ)

dx/dθ = dr/dθ cos(θ) - r(θ) sin(θ)

In polar coordinates, we have

y(θ) = r(θ) sin(θ)

x(θ) = r(θ) cos(θ)

and when θ = π/3, we have y (π/3) = 13√3/2 and x (π/3) = 13/2.

The slope of the tangent line to the curve is dy/dx. By the chain rule,

dy/dx = dy/dθ • dθ/dx = (dy/dθ) / (dx/dθ)

dy/dx = (dr/dθ sin(θ) + r(θ) cos(θ)) / (dr/dθ cos(θ) - r(θ) sin(θ))

When θ = π/3, the slope is

dy/dx = (-4√3 sin(π/3) + 13 cos(π/3)) / (-4√3 cos(π/3) - 13 sin(π/3))

dy/dx = (-4√3 (√3/2) + 13 (1/2)) / (-4√3 (1/2) - 13 (√3/2))

dy/dx = - 1/(17√3)

So, the tangent line has slope -1/(17√3) and passes through (13/2, 13√3/2). Using the point-slope formula, its equation is

y - 13√3/2 = -1/(17√3) (x - 13/2)

y = -(x - 338)/(17√3)

Answer:

6.75

Step-by-step explanation:

First, I just gave you the answer.

Second, just use it.

9514 1404 393

Answer:

  center (-5, 3)

  radius 3

Step-by-step explanation:

Compare the given equation to the standard form equation of a circle:

  (x -h)² +(y -k)² = r² . . . . . . circle with center (h, k) and radius r

This shows us that ...

  -h = +5   ⇒   h = -5

  -k = -3   ⇒   k = 3

  r² = 9   ⇒   r = √9 = 3

Then the circle center is (h, k) = (-5, 3), and the radius is r = 3.

Answer:

uhhhh I can't explain how but the answer is B. -39,366.

Answer:

$29

Step-by-step explanation:

Answer:

The ages of all three brothers are 4,6,8 years.

Step-by-step explanation:

Here n is the smallest of the three consecutive even integers, the condition gives you this equation

2n + 3*(n+2) + (n+4) = 34.

2n + 3n + 6 + n + 4 = 34

6n = 24

n = 4.

Answer. The ages are 4, 6 and 8 years.

Hope this helps you.

The ages of the three brothers are 6, 8, and 10 years, respectively.

Let the ages of the three brothers be \(x\), \(x+2\), and \(x+4\).

The sum of the first even integer, three times the second even integer, and twice the third even integer is fifty:

\[x + 3(x+2) + 2(x+4) = 50\]

Simplify the equation:

\[x + 3x + 6 + 2x + 8 = 50\]

Combine like terms:

\[6x + 14 = 50\]

Subtract 14 from both sides:

\[6x = 36\]

Divide by 6:

\[x = 6\]

So, the ages of the three brothers are 6, 8, and 10 years, respectively.

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#SPJ3

The sample will also be normally distributed, with same mean as the population, so µ = 70.5, but the standard deviation would be divided by the square root of the sample size, so σ = 2.6/√5 ≈ 1.16.

N(70.5, 1.16)

The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.

A normal distribution is a probability distribution that is used to represent events with a default behaviour and accumulated potential departures from it.

As it is given that the heights of male seniors in high school closely follow a normal distribution N(µ,σ) = N(70.5,2.6), where the units are inches.

Therefore, the mean will be the same (µ = 70.5), but the standard deviation for the sample size of the heights of five male seniors, can be written as,

[tex]s=\dfrac{\sigma}{\sqrt n} = \dfrac{2.6}{\sqrt5} = 1.16[/tex]

Hence, The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.

Learn more about Normal Distribution:

https://brainly.com/question/12421652

Answer:

Inspect the graph to see if any vertical line drawn would intersect the curve more than once.

Step-by-step explanation:

If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.

Answer: An isosceles triangle has two sides of equal length. The length of one of the equal sides is two more than 3 times the length of the third side. If the perimeter is 46m, find the length of each side.

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

The perimeter is equal to the lengths of all the sides.

Let x equal the two sides that are equal to each other.

Then the 3rd side is 2x - 1 which is 2 times the length of the equal side minus 1.

So the perimeter 23 = x + x + (2x-1)

Now solve for x

23 = x + x + 2x - 1

add 1 to both sides

24 = x + x + 2x

24 = 4x

x = 6

The two equal sides would be 6 feet each

The other side would be 2(6) - 1 = 11

The perimeter is 6 + 6 + 11 = 23

Answer:

87 / 100 I do believe will be your answer.

Step-by-step explanation:

1 is the greatest common divisor of 87 and 100, and therefore the result can't be further reduced. I hope this helps!

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1.6 pounds of lettuce costs :

1 pound of lettuce costs :

Answer:

Step-by-step explanation:

Let the width is x, then the area is:

Solving we get:

So correct choice is B

The rate of inflation between year 1 and year 2, based on the CPI, is  c. 33.33%.

The Consumer Price Index (CPI) allows us to calculate inflation. To find the inflation across these years, use the formula:

= (CPI₂ - CPI₁) / CPI₁ x 100%

Solving gives us:

= (200 - 150) / 150 x 100%

= 33.3%

In conclusion, the inflation is 33.3%.

Find out more at https://brainly.com/question/17329174.

Answer:

A

Step-by-step explanation:

Answer:

The Correct answer is A

Step-by-step explanation:

Answer:

since 7 is a prime number, the prime factors are 1 and 7.

Step-by-step explanation:

Answer:

1 and 7

Step-by-step explanation:

Since 7 is a prime number (meaning that there are no other factors that can be multiplied to equal 7) the prime factors of 7 would be 1 and itself.

I attached a photo below that shows the factor tree for 7.

Hope this explanation clears up any confusion you may have had! Let me know if you have any other questions :D

Answer:

The answer is D

Step-by-step explanation:

-7.6+4.17= -3.43x

3.54-1.32= 2.22

Answer:

- sin (x)

Step-by-step explanation:

hope this helps :)

Answer:  tan(-x) cos(-x) = -sin(x)

Step By Step Explanation:

tan(-x) cos(-x)

Use the negative angle Identity to get:

Cos (x) (-tan(x))

Remove the parenthesis to get:

-Cos (x) tan (x)

Express with sin,cos to get:

-sin(x)

I got my explanation from www.symbolab.com

https://www.symbolab.com/solver/simplify-calculator/tan%5Cleft(-x%5Cright)%20cos%5Cleft(-x%5Cright)%20%3D?or=input

,  Hope this Helps :)

Have a great day!!

Answer:

A. Personal vacation expenses

Step-by-step explanation:

Because everything else either helps the community or is a required expense

Answer:

1.5

Step-by-step explanation:

3 3/4 ÷ 2 1/2

3/2

= 1.5