What is the perimeter of the shape?
2 yd
3 yd
5 yd
4 yd
2 yd
6 yd

Answer:

29

Step-by-step explanation:

There is a triangle embedded in triangle MNO, which is triangle PQO, and these are similar triangles in that their corresponding sides are always in the same ratio, which in this case is 2:1, as MP = MO due to the midpoint definition, and therefore MO is twice as long as MP. Same for NO and QO.

Now that we know the ratio, we can set 6x-4 = 2(-5x+64)

6x-4 = -10x +108

16x = 112

x = 7

Plug x back in for PQ, -5(7)+64 = 29

The measure of PQ is 22 units.

A triangle's third side is stated to be parallel to the line segment uniting its two midpoints, and it is also half as long as the third side.

Given:

PQ = 5x + 62, and MN = 6x-4

Now, using Mid- Point Theorem

PQ= 1/2 MN

-5x+ 62 = 1/2( 6x - 4)

-5x+ 62 = 3x - 2

-5x- 3x = -2 - 62

-8x = -64

x= 8

and, PQ= 5x+ 62 = -5(8) + 62 = -40 + 62 = 22

Hence, the measure of PQ is 22 units.

Learn more about mid point theorem here:

https://brainly.com/question/13677972

#SPJ2

Answer:

mark me as a brainleast

Step-by-step explanation:

iam not undeerstand on your qiestion write it beautiful words

Answer:

12376 huevos

Step-by-step explanation:

Son 68 gallinas en 26 corrales por tanta se multiplicaría

26 x 68=1768 estas serian el total de las gallinas en todos los corrales, aparte te dicen que cada pone un huevo al día, entonces como te piden cuantos huevos serán en 7 días sería:

1768 x 7= 12376

1768= a los huevos de cada gallina en un día ya que te dice que cada una pone un huevo en cada día.

Answer:

3:2

Explanation:

Let's call the trains A and B

Train A moves from Howrah to Patna in 9 hours

Train B moves from Patna to Howrah in 16 hours

Assuming it takes 30 miles to OR from each destination,

Then train A travels 30 miles in 9 hours

Train B travels 30 miles in 16 hours

Train A's speed is 30/9= 3.33 miles per hour

Train B's speed is 30/16= 1.88 miles per hour

Ratio of their speeds(approximately,train A to train B)= 3:2

Answer:   7 years

Step-by-step explanation:

let x be the age of Mary

so John's age will be 2x

the equation becomes

2x+x=21

3x=21

x=21/3

x=7

Answer:

Step-by-step explanation:

Let Mary's age = x years

John's age = 2 * x = 2x

The sum of their ages = 21

x + 2x = 21

3x = 21

Divide both sides by 3

x = 21/3

x = 7

Mary's age = 7 years

Answer: 3x

Step-by-step explanation: just need points

Answer:

91 days

Step-by-step explanation:

Given that,

A planet is at a distance of 98,000,000 km from the centre of the star.

It orbits at an average speed of 45,000 km/h.

The speed of an object is given by the distance covered divided by the time taken. So,

[tex]v=\dfrac{d}{t}\\\\t=\dfrac{d}{v}\\\\t=\dfrac{98,000,000}{45,000}\\\\t= $$2177.77\ h[/tex]

or

t = 90.74 days ≅ 91 days

So, the planet take 91 days to orbit the star.

Answer:

A. (3x-2)^2

B. 5x-4y

5x=4y

Step-by-step explanation:

9514 1404 393

Answer:

  π, √3, 3√2

Step-by-step explanation:

A number is irrational if it is not a decimal number of finite length or a repeating decimal number.

The irrational numbers in the group are shown below.

Answer: You take around 4,500 steps a day

Step-by-step explanation:

Answer:

The correct option is (b).

Step-by-step explanation:

The formula for the side of a cube of surface area SA is as follows :

[tex]s=\sqrt{\dfrac{SA}{6}}[/tex]

When SA = 180 m²

[tex]s=\sqrt{\dfrac{180}{6}}\\\\s=\sqrt{30}[/tex]

When SA = 120 m²

[tex]s=\sqrt{\dfrac{120}{6}}\\\\s=\sqrt{20}\\\\=2\sqrt5[/tex]

Difference,

[tex]=30-2\sqrt5[/tex]

So, the correct option is (b).

Answer:

10 times

Step-by-step explanation:

there are a total of 200 coins

each time he makes a selection the probability of selecting a dime is 40/200 or 1/5

if he makes 50 selections, the probability is 1/5(50) which is 10 times

Answer:

63.5

Step-by-step explanation:

Answer:

The area and the perimeter of the picture are:

Step-by-step explanation:

To find the area of that figure, you can find the area how if it was a rectangle and next subtract the area of the triangle in the upper part. The area of a rectangle could be found by the next formula:

As you can see in the picture, the base is 16 cm and the height is 12 cm, then we replace in the formula:

Now, we calculate the area of the triangle to subtract to the area we found and obtain the real area, the formula to obtain the area of a triangle is:

The height of the triangle is 8 cm, and the base is 8 cm too, because you subtract to the base of the rectangle (16 cm) the measurements in the upper part (16 - 4 - 4 = 8), Now, we replace in the formula:

We subtract to the found area:

To find the perimeter, you must add all the sides of the picture, but, as you can see, there is a side that doesn't have the measurent, this is the hypotenuse of the triangle used before, but how we know the other sides, we can use Pythagorean theorem:

Where:

So, we replace in the theorem:

At last, we add all the sides of the picture begining by the base and going by the left side:

[tex] \huge{ \green{ \boxed{ \boxed{ \sf{ \blue{hi}}}}}}[/tex]

Money is a crucial incentive to work motivation. It is a medium of exchange and the means by which employees can purchase things to satisfy their needs and desires. It also serves as a scorecard by which employees assess the value that the organization places on their services

Brainliest please

Answer:

10.32

Step-by-step explanation:

20.64 divided by 2

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { 14 }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{2 + \sqrt{3} }{2 - \sqrt{3} } + \frac{2 - \sqrt{3} }{2 + \sqrt{3} } [/tex]

[tex] \\= \frac{2 + \sqrt{3} }{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} } + \frac{2 - \sqrt{3} }{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } [/tex]

[tex] \\= \frac{2 \: (2 + \sqrt{3} )+ \sqrt{3} \: (2 + \sqrt{3} )}{ ({2})^{2} - ({ \sqrt{3} })^{2} } + \frac{2 \: (2 - \sqrt{3} ) - \sqrt{3} \: (2 - \sqrt{3} ) }{ ({2})^{2} - ( { \sqrt{3} })^{2} } [/tex]

[tex]\\ = \frac{4 + 2 \sqrt{3} + 2 \sqrt{3} + 3 }{4 - 3} + \frac{4 - 2 \sqrt{3} - 2 \sqrt{3} + 3}{4 - 3} [/tex]

[tex]\\ = \frac{7 + 4 \sqrt{3} }{1} + \frac{7 - 4 \sqrt{3} }{1} [/tex]

[tex] \\= 7 + 4 \sqrt{3} + (7 - 4 \sqrt{3} )[/tex]

[tex] \\= 7 + 4 \sqrt{3} + 7 -4 \sqrt{3} [/tex]

[tex] \\= 14[/tex]

[tex] (a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}[/tex]

Answer:

Step 1: 8x - 12 = 1; Step 2: 8x = 13

Step-by-step explanation:

Given equation:

4(2x - 3) = 1

Step 1: open the parenthesis

4(2x - 3) = 1

8x - 12 = 1

Step 2: collect like terms

8x - 12 = 1

8x = 1 + 12

8x = 13

step 3: divide both sides by the coefficient of x

8x = 13

x = 13/8

The correct steps to solve the equation:

Step 1: 8x - 12 = 1; Step 2: 8x = 13

Answer:

.79 cents a pound is the lowest unit price for apples

Step-by-step explanation:

Answer:

y= 6/19

hope it helps

Answer: A. Sea otter (5 meters below sea level) Fish(1 meter below sea level) and Bird (4 meters above sea level)

B. Fish is closest to sea level by only 1 meter, Bird is 4 meters above sea level, so it would be second, and Sea Otter is the farthest from Sea level because it is 5 meters under sea level

Step-by-step explanation: that is my explanation, and to explain what i said, 0 is sea-level

Answer:

If the probability is that it WILL rain 1/5.  Then the remaining chances are the number it will not rain.  The denominator tells us that there are at total of 5 chances.  That leaves a 4/5 chance it will not rain.

Step-by-step explanation:

Answer:

man you are right it is difficult

Value of x = 13°

Hope it helps you...

Answer:

5 11/30

Step-by-step explanation:

convert both to least common denominator then solve

Answer:

the answer to this question is 5.366666666

Answer:

10·b = 60

Step-by-step explanation:

The given system of equation is presented as follows;

5·a + 5·b = 25...(1)

-5·a + 5·b = 35...(2)

Given that the coefficient of a in equation (1) is equal in magnitude but opposite in sign to the coefficient of 'a' in equation (2), to eliminate the variable 'a' when using the elimination method, we add both equations as follows;

5·a + 5·b + (-5·a + 5·b) = 25 + 35 = 60

5·a - 5·a + 5·b + 5·b = 60

5·a - 5·a = 0

5·b + 5·b = 10·b

∴ 5·a - 5·a + 5·b + 5·b = 60 = 0 + 10·b = 10·b

∴ 10·b = 60

Answer:

3/5

Step-by-step explanation:

Total number of marbles = 5 + 15 + 5 = 25

Number of blue marbles = 15

Probability of blue marbles:

= 15/25

=3/5

Hope it helps......