The slope is 3 and the line passes through point (5, 17).

Answer:

[B] 68

Step-by-step explanation:

Given:

the figure in the picture

Solution:

Q - 124 + 56 =180

Since,  r is also 56 degrees that means S is 68 degrees because the sum of each angle has to add up to 180 degrees.

Step by step solving below:

Q = 180 - 124

Q = 56

56 (m∠Q) + 56 (m∠ R) = 112

S = 180 - 112

S = 68

Thus, the answer is [B] 68 which also means m∠ 68

Kavinsky

Answer:

mS = 68 (B)

Step-by-step explanation:

First, we are given mR, which is 56.

Next, we can figure out mQ by subtracting 124 from 180 (because it's a straight line) :: 180 - 124 = 56, SO, mQ = 56

Now, we know that the sum of all the interior angles is 180, so we'll subtract mR and mQ from that....

180 - (mR + mQ) >> 180 - (56 + 56) >> 180 - 112 = 68

therefore, mS = 68

The value of two inner angle other than x can be find out by subtracting 130° and 96° from 180° differently , because a straight line always make an angle of 180°

So ,

180° - 130° = 50 °

180° - 96° = 84°

Therefore , 50° and 84° are the two internal angle other than x

To find x ,

as the sum of all angles inside a triangle is 180°

50° + 84° + x = 180°

x = 180° - 134°

x = 46°

Answer:

RU = 10.5, QS = 18

Step-by-step explanation:

RT is 21, and RU is half of RT, making it 10.5

SU is 9, and QS is double of SU, making QS 18.

Answer:

24

Step-by-step explanation:

This line is going up by two.

To find the range just count the space between the Maximum and Minimum.

Or subtract the Minimum from the Maximum.

For this, the Minimum is 32.

The Maximum is 56.

Now that we know, let's subtract.

56 - 32 = 24

24 is the range.

Answer:

  C)  18

Step-by-step explanation:

Let x represent the largest of the five consecutive integers. Then (x -4) is the smallest, and the sum of the five of them is ...

  sum = 5((x +(x -4))/2 = 5x -10

That sum is 46 less than 9 times the smallest.

__

This relation can be written as ...

  5x -10 = 9(x -4) -46

  72 = 4x . . . . . . . . . . . . add 82-5x and simplify

  18 = x . . . . . . . . . divide by 4

The largest of the consecutive integers is 18.

_____

Additional comment

Here, we have used the variable to represent what the problem is asking for--the largest of the integers. Often, in consecutive integer problems, it is convenient to let a variable represent the middle (or average) value of the consecutive integers. If we do that here, then sum of the 5 integers would be 5x, and the relation to find x would be ...

  5x +46 = 9(x -2)

This resolves to 64=4x ⇒ x=16, so the largest integer is x+2=18. The number of steps is about the same, but the sum is easier to find, and there aren't as many constant terms to play with in solving for x.

Answer:

THE ANSWER IS 308

Step-by-step explanation:

the solution is in the picture

Answer:

Ok

Step-by-step explanation:

Given: DPH 90, DPF 90, HPG 38

Angle GPF = 180( straight angle) - 38 = 142.

Opposite angle HPG and EPG = 38

Angle DPE = 180 - 90 - 38 = 52.

Using the arrangements formula, it is found that there are 40,320 ways for these swimmers to finish.

The number of possible arrangements of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

In this problem, there are n = 8 swimmers, hence they can finish arranged in 8! ways, that is:

[tex]A_8 = 8! = 40320[/tex]

More can be learned about the arrangements formula at https://brainly.com/question/24648661

Answer:

1. 83 square inches

2. 7.065 square centimeters

Step-by-step explanation:

Hey there!

In order to find the area of the shaded region of the rectangle, you need to first find the area of the whole shape

The dimensions are 10 and 16 and if you multiply them together, you get 160

This means that the area of the whole shape is 160

Now they are asking for the area of the shaded shape, so we need to find the area of the white rectangle, and then subtract that area from 160

The dimensions for the white rectangle is 11 and 7

This means that the area of the white rectangle is 77

Now what we need to do is subtract 77 from 160

160-77=83

So the area of the shaded region is 83 square inches

Now to get to the second question

We need to find the area of the quarter circle

In order to find this, we need to first find the area of the whole circle, then divide that by 2

They gave us the radius already which makes it a lot easier (the radiues is 3)

All we need to do is input 3 into the formula for the area of a circle

[tex]\pi r^2[/tex]

In this case, since they are telling us to use 3.14 as pi, the equation would look like this:

[tex]3.14*3^2[/tex]

This can be simplified to [tex]3.14*9[/tex] which is equal to 28.26

So this is the area of the whole circle

But the question is asking for the area of a quarter of that circle

So what we need to do is divide 28.26 by 4 which is 7.065

So the area of the quarter circle is 7.065 square centimeters

Probability = number of desired outcomes / number of total outcomes

Multiples of 3 = 3, 6, 9, 12, 15, 18 = 6 possibilities

Total number of outcomes = 20

6 / 20 = 3 / 10

Answer: 3/10

Hope this helps!

Answer:

x = 25,

Step-by-step explanation:

(4x + 3) + (2x + 27) = 180 (Told they were a linear pair) (supplementary)

6x +30 = 180 (Combine like terms)

6x = 150 (Subtract 30 from both sides)

x = 25 (Divide both sides by 6)

m<RQS = 4(25) + 3

= 103 degrees

m<TQS = 2(25) + 27

= 77 degrees

Hope this helps

Answer:

729 ft cubed

Step-by-step explanation:

The formula is length time width times height. All of those are 9, so it is 9x9x9.

Answer:

729

Step-by-step explanation:

9 x 9 = 81

81 x 9 = 729

Answer:

51 is the area

Step-by-step explanation:

3 x 5 in the bottom equals 15. 4 x 9 equals 36 at the top rectangle. 36 + 15 = 51.

Answer:

42 is the reasonable prediction

Step-by-step explanation:

14/20 * 3/3=42/60=42

D. y=2sec[2(x+pi )]-2

Step-by-step explanation:

Answer:

4GB

Step-by-step explanation:

cause if you think about it if they already have used 2GB in half the month then its' reasonable to think it would be 4GB. simple math

Answer:

307.876080 ft^3

Step-by-step explanation:

307.876080 ft3

=======================================================

Explanation:

x = total number of students surveyed

According to the table, 0.075 of the students (aka 7.5%) have blond hair and blue eyes. This means 0.075x is the number of blond hair blue eye people.

Also, 0.125x is the number of brown hair blue eye people for similar reasoning as the previous paragraph.

We're told that "There are 4 more students with brown hair and blue eyes than blond hair and blue eyes"

So,

(BrownHair_BlueEyes) = (BlondHair_BlueEyes) + 4

0.125x = (0.075x) + 4

0.125x-0.075x = 4

0.05x = 4

x = 4/0.05

x = 80

There are 80 students surveyed.

Of those eighty students,  0.075x = 0.075*80 = 6 have blond hair and blue eyes; while 0.125x = 0.125*80 = 10 have brown hair and blue eyes. Notice how this is four more than the blond person count with blue eyes. This confirms we have the correct sample size.

The last step is to calculate how many of the students have black hair based on the sample size we just found.

The table shows 25% = 0.250 of the students have black hair, so 0.25x = 0.25*80 = 20 students have black hair

Answer:

±3

Step-by-step explanation:

I attached a photo it. hope this helps.

Answer:

[tex]x2 - 4 = 5 \\ x \times 2 = 5 + 4 \\ \frac{2x}{2} = \frac{9}{2} \\ x = 4 \frac{1}{2} \\ x = 4.5[/tex]

Answer:

it's a function

Step-by-step explanation:

none of the x are repeating

Answer:

its function

Step-by-step explanation:

none of the x are repetation

Let's see

Answer:

  y = 8

Step-by-step explanation:

A 3-4-5 right triangle, and its multiples, are the only ones with rational side lengths in the ratio 3:5. In other words, the 6y : 10y side ratios mean that ...

  3 : 4 : 5 = 6y : 64 : 10y

or

  64 = 8y

  y = 8 . . . . . . . divide by 8

Answer:

0.2637

Step-by-step explanation:

P(A) = 4 x (13/2) x 13^3/(52/5) = (rounded: 0.264) (Real answer: 0.2637)

Answer:

124733738E+19

Step-by-step explanation:

please consider as brainlest if i helped you

Answer:

=> 1.24733739e21

Step-by-step explanation:

=> 134355785131 times. 9283838383

=> 1.24733739e21

Answer:

Answer:

1,216 cm³

Step-by-step explanation:

Volume (composite space figure) = Volume (pyramid) + volume (prism)

Answer:

Step-by-step explanation:

Here, the equation is :

So, whatever values of x makes the equation 0 are the roots.

Hence,

1st x value

2nd x value

The roots are 3 and -5/2.

38×54= 2052

512×26= 13312

1115×20= 22300

38×48= 1824

712×48=34176

-> all of the answers are false

Answer:

70% of the fruits are lemons

Step-by-step explanation:

I divided 100 by 60, and then multiplied that number by 42;) Have a blessed day!

Answer:

70%

Step-by-step explanation:

put into a fraction:

42/60

Divide:

42/60=0.7

Convert:

0.7=70%