All categories

3 years ago

HELP.

Mathematics

2 answers:

Fynjy0 [20]3 years ago

6 0

The third option is the correct answer.
Show that the midpoint of MP = ((a + b)/2, c/2) and the midpoint of QN = ((a + b)/2, c/2)

Ostrovityanka [42]3 years ago

3 0

1 option is false, because it shows that lines QM and PN are parallel.

2 option is false, because it shows that the diagonals of parallelogram have different lengths.

3 option is true, becuase if you find the coordinates of midpoints of both diagonals and these coordinates coincides, then these midpoints are placed in one point on the coordinate plane. This means that diagonals of a parallelogram bisect each other.

4 option is false, because it shows that opposite sides of parallelogram are congruent.

Answer: correct choice is option 3.

You might be interested in

*Will give brainliest* A ladder, leaning against a wall, makes an angle of 20° with the ground. The foot of the ladder is 3 m fr

Fantom [35]

Answer:

The answer is 3.64m

This is because if you draw a diagram, and label all the sides of the triangle (opp, hyp, adj), the adjacent angle is 3m. You can now use the sine rule to find the hypotenuse (length of ladder) by doing: cos 30= 3/h. You divide cos 30 by 3 and you get the answer of 3.64m rounding to 2 decimal places.

3 0

3 years ago

Read 2 more answers

How are I supposed to do this ?

ad-work [718]

Answer:

Step-by-step explanation:

1. binomial polynomial

2. 2 terms

3. 4 is the constant term

4. - 1/10 x^3 is the leading term

5. -1/10 is the leading coefficient.

8 0

4 years ago

Inverse Trigonometry solve the questions below

RideAnS [48]

Answer:

1. θ = 34.85°

2. x = 36.31°

3. x = 39.80°

Step-by-step explanation:

1. Determination of θ.

Adjacent = 11.9

Hypothenus = 14.5

Angle θ =?

Cos θ = Adjacent /Hypothenus

Cos θ = 11.9 / 14.5

Cos θ = 0.8207

Take the inverse of Cos

θ = Cos¯¹ 0.8207

θ = 34.85°

2. Determination of x

Opposite = 9 m

Hypothenus = 15.2 m

Angle x =?

Sine x = Opposite /Hypothenus

Sine x = 9 / 15.2

Sine x = 0.5921

Take the inverse of Sine

x = Sine¯¹ 0.5921

x = 36.31°

3. Determination of x

Opposite = 10 in

Adjacent = 12 in

Angle x =?

Tan x = Opposite / Adjacent

Tan x = 10 / 12

Tan x = 0.8333

Take the inverse of Tan

x = Tan¯¹ 0.8333

x = 39.80°

8 0

3 years ago

Four tomatoes and eight avocados cost $10. Six tomatoes and fourteen avocados cost $17.

Sedaia [141]

Answer:

(a)

A single avocado costs $1

A single tomato costs $0.5

(b)

An avocado costs twice as much as a tomato

Step-by-step explanation:

Represent the tomatoes with T and the avocados with A.

So, we have:

$4T + 8A = 10$ --- (1)

$6T + 14A = 17$ --- (2)

Solving (a): The price of each

Multiply (1) by 1.5

$1.5(4T + 8A = 10)$

$6T + 12A = 15$ --- (3)

Subtract (3) from (2)

$(6T + 14A = 17) - (6T + 12A = 15)$

$6T - 6T + 14A - 12A = 17 - 15$

$14A - 12A = 17 - 15$

$2A = 2$

Divide both sides by 2

$A = 1$

Substitute 1 for A in (1)

$4T + 8A = 10$

$4T + 8(1) = 10$

$4T + 8 = 10$

Make 4T the subject

$4T = 10 - 8$

$4T = 2$

Divide both sides by 4

$T = \frac{2}{4}$

$T = 0.5$

Solving (b): Analysis

In (a), we have:

$T = 0.5$

$A = 1$

<em>We can say that an avocado costs twice as much as a tomato</em>

7 0

3 years ago

The combined (verbal + quantitative reasoning) score on the GRE (Graduate Record Exam) is normally distributed with mean 1049 an

mash [69]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Normal distribution :

Mean (m) = 1049

Standard deviation (sd) = 189

Number of samples (n) = 16

A) What is the probability that one randomly selected student scores above 1100 on the GRE?

Obtain the z score

Zscore = (x - m) / sd

Zscore = (1100 - 1049) / 189

Zscore = 51 / 189 = 0.2698412 = 0.27

Using the z-table

P(X > 100) = 1 - P(X < 100) = 1 - 0.6064 = 0.3936

B) The sample mean = population mean

Hence sample mean = 1049

The sample standard deviation = standard error

Standard Error (SE) = sd / sqrt(n)

SE = 189/4 = 47.25

Hence shape = normal, standard deviation = 47.25, mean = 1049

C.) P(X < 1100)

Zscore = (x - m) / SE

Zscore = (1100 - 1049) / 47.25

Zscore = 51 / 47.25 = 1.0793650 = 1.08

Using the z-table :

P(X < 1100) = 0.8599

D.) P(X > 1100)

Zscore = (x - m) / SE

Zscore = (1100 - 1049) / 47.25

Zscore = 51 / 47.25 = 1.0793650 = 1.08

Using the z-table :

P(X > 1100) = 1 - P(X < 1100) = (1 - 0.8599) = 0.1401

E) if n = 64

SE = 189 / sqrt(64) = 189 / 8 = 23.625

P(X > 1100)

Zscore = (x - m) / SE

Zscore = (1100 - 1049) / 23.625

Zscore = 51 / 47.25 = 2.1587301 = 2.16

Using the z-table :

P(X > 1100) = 1 - P(X < 1100) = (1 - 0.9846) = 0.0154

The probability decreases as the same distribution hinges towards a Boal distribution with increasing sample size.

3 0

3 years ago