Which of the following equations could be solved to determine the length of QR?

Answer: 1/6

Step-by-step explanation:

Step-by-step explanation:

To do this, we will substitute the x values to their corresponding equations,

1)

[tex]2x + 5 \\ = 2(7) + 5 \\ = 14 + 5 \\ = 19[/tex]

Given 2x + 15 = 19

Calculated 2x + 15 = 19

Given = Calculated, this solution is correct.

2)

[tex]3 + x + 2 -x \\ = 3 + 3 + 2 - 3 \\ = 8 - 3 \\ = 5[/tex]

Given 3 + x + 2 - x = 16

Calculated 3 + x + 2 - x = 5

Given not equal to calculated, this solution is incorrect.

3)

[tex] \frac{x + 2}{5} \\ = \frac{8 + 2}{5} \\ = \frac{10}{5} \\ = 2[/tex]

Given (x+2)/5 = 2

Calculated (x+2)/5 = 2

Given = Calculated, this solution is correct.

4)

[tex]6 = 2x - 8 \\ 2x - 8 = 6[/tex]

[tex]2x - 8 \\ = 2(7) - 8 \\ = 14 - 8 \\ = 6[/tex]

Given 2x - 8 = 6

Calculated 2x - 8 = 6

Given = Calculated, this solution is correct.

5)

[tex]14 = \frac{1}{3} x + 5 \\ \frac{1}{3} x + 5 = 14[/tex]

[tex] \frac{1}{3} x + 5 \\ = \frac{1}{3}(18) + 5 \\ = \frac{18}{3} + 5 \\ = 6 + 5 \\ = 11[/tex]

Given 1/3x + 5 = 14

Calculated 1/3x + 5 = 11

Given not equal to Calculated, this solution is not correct.

Therefore the Correct solutions are 1,3 and 4.

9514 1404 393

Answer:

  267.9 m

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

In this geometry, the angle of depression is the angle of interest. The "adjacent" side of the triangle is the distance to the boat. The "opposite" side is the height of the cliff.

  tan(15°) = height/(1000 m)

  height = (1000 m)tan(15°)

  height ≈ 267.9 m

The cliff is about 267.9 meters tall.

Answer:

x=20

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

i hope this helps you <3

Answer:

3^12

Step-by-step explanation:

Answer:

Arithmetic

Step-by-step explanation:

Sequences:

A sequence is called arithmetic if the difference between consecutive terms is the same.

A sequence is called geometric if the quotient between consecutive terms is the same.

In this question:

28 - 22 = 22 - 16 = 16 - 10 = ... = 6

Difference is always 6, that is, each term is the previous one subtracted by 6. So the sequence is arithmetic.

Answer:

vertical angles

Step-by-step explanation:

bc they are across from eachother

Answer:

26

Step-by-step explanation:

If the data is in order, the median is the middle value.

If there are two values in the middle, you add them together and divide by 2

So [tex]\frac{25+27}{2} =26[/tex]

Answer:

15

Step-by-step explanation:

In this problem we need to use the numbers given. So in the problem it states that k = 20 and v = 10. We can replace the letters in the equation for the numbers that it equals so the equation can make sense so 25 - 20 + 10 because k is 20 and v is 10 I simply just replaced the letters with the numbers given in the problem. Then we can just subtract 25 - 20 which is 5 and add 10 which leaves you at a final answer of 15. Hope this helped!

Answer:

A.

✔ Aida’s Work

Step-by-step explanation:

E 2021

Answer:

let x represent the number tickets

number of ticket=6

cost of the travelling insurance per ticket =$18

total cost= $1056

(x+x+x+x+x+x+18)= $1,056

6x + 18 = $1,056

Answer:

2

Step-by-step explanation:

y = mx + b

    m = slope

    b = y-intercept

y = -1/3x + 2

    b = 2

Answer:

since negative 1/3 is the slope and x is the point on the x axis , 2 is the y intercept

9514 1404 393

Answer:

  4096∠0°

Step-by-step explanation:

The polar form of the base value is 2∠120°. Then the 12-th power is ...

  (2^12)∠(12×120°) = 4096∠0° . . . . or θ = 0 radians, as you wish

_____

I prefer the simpler notation r∠θ, rather than ...

  r(cos(θ) +i·sin(θ))   or   r·cis(θ)   or   r·e^(iθ)

You might not see this notation very often in areas outside of electrical engineering.

Answer:

Angle 1 = 40

Step-by-step explanation:

Angle 1 and Angle 2 are alternate angles. So,

2x + 20 = 3x + 10

3x - 2x = 20 - 10

x = 10

Angle 1 = 2x + 20 = 2 x 10 + 20 = 40

Answer:

-63, 38

Step-by-step explanation:

1st number = x

2nd number = x+101

x+x+101=-25

2x=-126

x=-63

1st number = x = -63

2nd number = x+101 = 38

Answer:

x=38

y= -63

Step-by-step explanation:

x+y=-25

y=x-101

x+(x-101)= -25

2x=-25+101

2x=76

x=76/2

x=38

y=x-101

y=38-101

y= -63

Answer:

18.0 cm

Step-by-step explanation:

[tex]hyp^{2} = opp^{2} + adj^{2}[/tex]

[tex]hyp^{2} = 6^{2} + 17^{2}[/tex]

[tex]hyp^{2} = 325[/tex]

[tex]hyp = 5\sqrt{13}[/tex]

[tex]= 18.028 cm[/tex]

Answer:

85

Step-by-step explanation:

255 ÷ 3 = 85

85×2= 170 This is how much student tickets were sold.

255 - 170= 85

85 adult tickets were sold.

Answer:

$6000×3%=180 for a month

so for for years

=6000x48×3%=R8 640

Step-by-step explanation:

1 year has 12 month so you will say 4 year's × 12 Month's it will give you 48 so you Multiply by his deposited money ×Percent

formula=Deposit money×Year's×Percent

Answer:

1.8

Step-by-step explanation:

here u go <3

The mass of one kitten is 1.8 Kg

Mean, median, and mode are the measures of central tendency, used to study the various characteristics of a given set of data. A measure of central tendency describes a set of data by identifying the central position in the data set as a single value. We can think of it as a tendency of data to cluster around a middle value. In statistics, the three most common measures of central tendencies are Mean, Median, and Mode. Choosing the best measure of central tendency depends on the type of data we have.

The arithmetic mean of a given data is the sum of all observations divided by the number of observations. For example, a cricketer's scores in five matches are as follows: 12, 34, 45, 50, 24. To find his average score in a match, we calculate the arithmetic mean of data using the mean formula:

Mean = Sum of all observations/Number of observations

Mean = (12 + 34 + 45 + 50 + 24)/5

Mean = 165/5 = 33

Given:

Total kittens= 46

So,

Mean= Total mass/ number of kittens

mean= 0.8* + 1*3 + 1.2*4+ 1.4 * 6+ 1.6*8+ 1.8*8+ 2*7+ 2.2*5 + 2.4 * 2 + 2.6*1+3.8*1 / 46

=80.4/ 46

= 1.75

Learn more about mean here:

https://brainly.com/question/15323584

#SPJ2

Answer:

2,178

Step-by-step explanation:

Multiply all the numbers together in other words do the length of the base times the width of the base then multiply the product by the height of the prism.

(11)(11)18

Answer:

50%

Step-by-step explanation:

Answer:

I think question is wrong

Step-by-step explanation:

3z-4>8z+2

3z-4+4>8z+2+4

3z>8z+6

[tex] \frac{3}{3} z > \frac{8z + 6}{3} \\ z > 8z + 2[/tex]