All categories

2 years ago

M and n are parallel, find the value of x and y

Mathematics

2 answers:

Otrada [13]2 years ago

8 0

Answer:

Step-by-step explanation:

2x - 6 = x + 14 {Vertically opposite angles are congruent}

2x = x + 14 +6 {Add 6 to both sides}

2x = x + 20

2x -x = 20 {Subtract 'x' from both sides}

x = 20

m // n,

y = x + 14 {corresponding sides are congruent}

y = 20+ 14

y = 34

VLD [36.1K]2 years ago

8 0

Answer:

x = 20 , y = 34

Step-by-step explanation:

2x - 6 and x + 14 are vertically opposite angles and are congruent, so

2x - 6 = x + 14 ( subtract x from both sides )

x - 6 = 14 ( add 6 to both sides )

x = 20

Then

2x - 6 = 2(20) - 6 = 40 - 6 = 34

y and 2x - 6 are alternate angles and are congruent , so

y = 34

You might be interested in

Number four please help. Whatever helps gets a Brainly award

pashok25 [27]

29.99 + 35.00 + 3.25 + 3.25 = 71.49

125.00 - 71.49 = 53.51

53.51 ÷ 22.50 = 2.4 = 2

She can buy 2 pairs of shoes.

Hope this helps!!
~Kiwi

8 0

3 years ago

How to solve |x-1|=|x-2| geometrically?

S_A_V [24]

Answer:

x=3/2 or 1.5

Step-by-step explanation:

Screenshot below should help :)

4 0

3 years ago

Read 2 more answers

DESPERATE WILL GIVE BRAINLIST AND THANKS

Illusion [34]

Answer: What you must do for this case is to graph each of the ordered pairs that you have in the table to obtain the dispersion chart. Note that in your table you have eight ordered pairs, therefore, your scatter chart must have eight pairs.

Step-by-step explanation:

7 0

2 years ago

I will give brainliest if this is answerd in 10 min it is timed here it is:this is worth 100 pts

Jobisdone [24]

Answer:

customary system:

miles

ounces

metric system:

deciliters

kilometers

centigram

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Roll the number cube to find the observed frequency. Which statements are true? Check all that apply

ch4aika [34]

Answer:

(a) and (c)

Step-by-step explanation:

Given

See attachment for complete question

Required

Select all true statements

First, calculate the total observed frequency;

$Total = 11 + 16 + 14 + 20 + 12 + 17$

$Total = 90$

(a): Relative frequency of 4 is 2/9

Relative frequency is calculated by:

$RF= \frac{Observed\ Frequency}{Total}$

For roll 4

$Observed\ frequency = 20$

So, the relative frequency is:

$RF = \frac{20}{90}$

Simplify

$RF = \frac{2}{9}$

(a) is true

(b): Experimental probability of 3 greater than its theoretical probability

The experimental probability is its relative frequency;

For roll 3

$Observed\ frequency = 14$

The experimental probability is:

$Pr = \frac{14}{90}$

Simplify

$Pr = \frac{7}{45} = 0.156$

To calculate the theoretical probability, w have:

$S = \{1,2,3,4,5,6\}$ ---- sample space

$n(S)= 6$

$n(3) = 1$ --- number of times 3 occur

The theoretical probability is:

$Pr = \frac{1}{6} = 0.167$

The theoretical probability is $greater\ than\ the$ experimental probability.

(b) is false

(c): Experimental probability of 2 greater than its theoretical probability

Using the explanations in (b), we have:

For roll 2

$Observed\ frequency = 16$

The experimental probability is:

$Pr = \frac{16}{90}$

Simplify

$Pr = \frac{8}{45} = 0.178$

To calculate the theoretical probability, we have:

$n(S)= 6$

$n(2) = 1$

The theoretical probability is:

$Pr = \frac{1}{6} = 0.167$

The experimental probability is $greater\ than\ the$ theoretical probability.

(c) is true

(d): Relative frequency of 5 is 2/13

For roll 5

$Observed\ frequency = 12$

The relative frequency is:

$RF = \frac{12}{90}$

Simplify

$RF = \frac{2}{15}$

(d) is true

7 0

2 years ago