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For the following set of triangles, fill in the blanks with the correct measure. Enter your answers as number only.
FILL IN THE BLANKS!

1) m∠A = _____˚

2) m∠B = _____˚

3) m∠C = _____˚

4) m∠X = _____˚

5) m∠Y = _____˚

6) m∠Z = _____˚

7) Segment AB = ___ units

8) Segment BC = ___ units

9) Segment AC = ___ units

10) Segment XY = ___ units

11) Segment YZ = ___ units

12) Segment XZ = ___ units

Answer:

Answer given below

Step-by-step explanation:

36, 48, 60....

16, 32, 48...

48 common in both.

Both will meet at 48 miles

So answer is 48 miles

Answer:

x15 y90 z13

Step-by-step explanation:

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Answer:

The square root of 50 is approximately 7.07.

Answer:

7.07106781187...

Step-by-step explanation:

its an irrational number

Answer:

X = 11

Step-by-step explanation:

Simplifying

X + 24 = 35

Reorder the terms:

24 + X = 35

Solving

24 + X = 35

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-24' to each side of the equation.

24 + -24 + X = 35 + -24

Combine like terms: 24 + -24 = 0

0 + X = 35 + -24

X = 35 + -24

Combine like terms: 35 + -24 = 11

X = 11

Simplifying

X = 11

Answer:

x+24=35

then collect like terms together, which means "x" terms in one side and numbers in one side:

x=35-(+24)

we need to change the signs when ever we change its place, like changing from one side to another

x=35-24

x=11. ✓

Answer:

  B.  6 2/3

Step-by-step explanation:

After subtracting the width of the picture from the width of the wall, we find the length of the space to be ...

  14 5/6 - 1 1/2 = (14 -1) +(5/6 -3/6) = 13 2/6 . . . feet

Dividing that space in half gives ...

  (13 2/6)/2 = (13/2) +(2/6)/2

  = 6 1/2 +1/6 = 6 3/6 + 1/6

  = 6 4/6 = 6 2/3 . . . . feet

The space on either side of the picture is 6 2/3 feet.

Answer:

Step-by-step explanation:

70*85/100 = 59.5 This is what you have right now.

You need 15.5 gross marks to get up to 75

As you can see, I'm sorry to say, you cannot do it.

Mind you, you would not miss by much. You could get about 74.5 if you got a hundred % on your final. This is just an estimate. I'm just trying to show you what you have to do to get near your goal. The 59.5 is accurate. So is the 15.5. Only your possible final grade is an estimate.

Answer:

$165.8 ;

$223.83 ;

Henry would pay less for the tablet on the website.

Step-by-step explanation:

Given :

Regular price = $829

On website :

80% discount off the regular price :

(100 - 80)% * regular price

20% * 829

0.2 * $829 = $165.8

At store :

70% off regular price :

(100 - 70)% * 829

0.3 * 829

= $248.7

10% off sale price :

(100 - 10)% * $248.7

0.9 * 248.7

= $223.83

Henry would pay less for the tablet on the website.

Using the x-intercept concept, the function has x-intercept of 4 when c = -2.

The x-intercepts of a function are the values of x when y = 0.

In this problem, the function is:

cx - 5y + 8 = 0.

When y = 0, we have that:

cx + 8 = 0

x = 4, hence:

4c = -8

c = -2.

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Answer:

x - 4 yards.

Step-by-step explanation:

Given:

Area of rectangle = 3x^2 - 12x square yards

Width = 3x yards

To find:

Length of rectangle

Solution:

The area of a rectangle is equal to the product of its length and width.

Area of rectangle = Length * Width

Substituting the given values, we get:

3x^2 - 12x = Length * 3x

Length =( 3x^2 - 12x )3x

Length = x-4

Therefore, the length of the rectangle is x - 4 yards.

Answer: The length of the rectangle is x - 4 yards.

Step-by-step explanation:

We can create an equation to solve this word problem, where the variable L = length.

3x  ×  L  = \(3x^2 - 12x\)

We need to solve for the variable L, to find the length of the rectangle.

First lets factor the right side of the equation to make it easier to divide with.

3x  ×  L  = \(3x^2 - 12x\)

We can factor out 3x from the right side of the equation.

3x  ×  L  = 3x(x - 4)

Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.

3x ×  L  = 3x(x - 4)

/3x           /3x

L = x - 4

The length of the rectangle is x - 4 yards.

Answer:

18.6

Step-by-step explanation:

Answer:

18.6

Step-by-step explanation:

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The arrow is at a height of 48 ft after approx. 3 - √6 s and after 3 + √6 s.

To find the time it takes for the arrow to reach a height of 48 ft, we can use the formula for the height of the arrow:

s = v0t - 16t^2

Here, s represents the height of the arrow, v0 is the initial velocity, and t is the time.

Given that the initial velocity, v0, is 96 ft/s and the height, s, is 48 ft, we can set up the equation:

48 = 96t - 16t^2

Now, let's solve this equation to find the time it takes for the arrow to reach a height of 48 ft.

Rearranging the equation:

16t^2 - 96t + 48 = 0

Dividing the equation by 16 to simplify:

t^2 - 6*t + 3 = 0

We now have a quadratic equation in the form of at^2 + bt + c = 0, where a = 1, b = -6, and c = 3.

Using the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

Plugging in the values:

t = (6 ± √((-6)^2 - 413)) / (2*1)

t = (6 ± √(36 - 12)) / 2

t = (6 ± √24) / 2

Simplifying the square root:

t = (6 ± 2√6) / 2

t = 3 ± √6

Therefore, the arrow reaches a height of 48 ft after approximately 3 + √6 seconds and 3 - √6 seconds.

In summary, the arrow takes approximately 3 + √6 seconds and 3 - √6 seconds to reach a height of 48 ft, assuming an initial velocity of 96 ft/s.

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Note the complete question is

The height of an arrow shot upward can be given by the formula s = v0*t - 16*t², where v0 is the initial velocity and t is time.How long does it take for the arrow to reach a height of 48 ft if it has an initial velocity of 96 ft/s?  

Solve (t-3)^2=6

The arrow is at a height of 48 ft after approx. ___ s and after ___ s.

The maximum value of the objective function is 50

We can find the value of the objective function, z, by plugging in the x and y values for each corner point into the equation z = x + 4y:

using the above as a guide, we have the following:

A: (1,1) -> z = 1 + 4 * 1 = 5

B: (3,8) -> z = 3 + 4 * 8 = 35

C: (6,11) -> z = 6 + 4 * 11 = 50

D: (7,4) -> z = 7 + 4 * 4 = 23

The maximum value of the objective function is 50, which occurs at corner point C: (6,11).

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Answer:

Step-by-step explanation:

we just have to substitute 0 in place of x

1-(0)³, 0³ is still 0, so we're left with 1-0=1

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Emory has the least siblings (1), is 29 years old, and gets paid $7.28 per hour. (Note the units included in the age (years) and wage ($ per hour) columns.)

Answer:

A.) Coefficient

Step-by-step explanation:

While it is a term, it says which word best describes it, so it would better be classified as a coefficient since coefficients have variables attached to them

Answer: Number of games lost = 23 and Number of games won = 59.

Step-by-step explanation:

Let x = Number of games lost, y = Number of games won.

y = 13 + 2x    (i)

x+ y = 82    (ii)

Substitute value of y from (i) in (ii) , we get

x+ 13 + 2x  = 82

⇒ 3x= 82-13

⇒ 3x = 69

⇒  x= 23      [Divide both sides by 3]

Put value of x in (i), y= 13+2(23) = 13+46=59

Hence, Number of games lost = 23 and Number of games won = 59.

answer:

y=(x+7/2)^2-73/4

Answer:

∠ QOR = 35°

Step-by-step explanation:

from the diagram

∠ POQ + ∠ QOR = ∠ POR , that is

24° + ∠ QOR = 59° ( subtract 24° from both sides )

∠ QOR = 35°

Answer:

Step-by-step explanation:

Given the limit expression:

Factor both the numerator and denominator:

so,

Now, divide the numerator and denominator by x:

So, the answer is the value of the limit = 1/2

The answer indicates the horizontal asymptote

what would be the equation of said horizontal asymptote?

It will be: y = 1/2

The zeros of the denominator when 2x + 1 = 0

x = -1/2

At this point, the limit approaches to infinity from the right and the left

From the right, it will be positive infinity

From the left, it will be negative infinity

See the following figure:

Miss Rose spent 65 percentage of her money.

Percentage is a way of expressing a fraction or a proportion as a fraction of 100. It is a number or ratio expressed as a fraction of 100, denoted by the symbol "%".

To find the percentage of Miss Rose's money that she spent, we can use the formula:

percentage = (part/whole) x 100

where "part" is the amount she spent, and "whole" is the initial amount of money she had.

In this case, Miss Rose had 120 and spent 78, so the percentage of her money that she spent is:

percentage = (78/120) x 100 = 65

Therefore, Miss Rose spent 65% of her money.

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The stars in order from the closest one to the farthest one are:

0.883, 0.886, 0.89, 1.25

so, the answer is A.

What is a sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms).

To put the given distances in order from the closest one to the farthest one, we need to arrange them in ascending order.

That means we need to start with the smallest value and move toward the largest value.

Looking at the given distances, we see that the smallest value is 0.883, followed by 0.886, then 0.89, and finally 1.25, which is the largest value.

Putting the given distances in ascending order, we get:

0.883, 0.886, 0.89, 1.25

Therefore, the stars in order from the closest one to the farthest one are:

0.883, 0.886, 0.89, 1.25

so, the answer is A.

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Answer:

I think it would be a

Step-by-step explanation:

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Answer:

11.405

Step-by-step explanation:

When rounding numbers, check the digit to the right of the one you're rounding to:

If a = 14.6 is rounded to 1 decimal place then:

If b = 3.25 is rounded to 2 decimal places then:

Therefore, to find the maximum value of a - b, subtract the smallest value of b from the largest value of a:

\(\implies \sf a_{max}-b_{min}=14.649999...-3.245=11.405\)

This ratio is using different measures (feet and yard), so the first step is converting yard to feet. The conversion rate is:

1 yard = 3 feet.

So we have that:

The numerator and denominator of the ratio are the same, so the ratio is equivalent to 1.