If the relationship is proportional, what is the missing value from the table? X y 8 6 16 ? O 8 09 O 12 O 14

Which postulate or theorem justifies this statement: ∠ 11 + ∠ 10 = 180°

Trava [24]

Answer:

Same-side Interior Angles theorem justifies ∠ 11 + ∠ 10 =180°

Step-by-step explanation:

To Prove:

∠ 11 + ∠ 10 =180°

Proof:

Consider lines are Parallel,then

Corresponding Angles are Equal

∴ ∠ 10 = ∠ 12 say (equation 1)

Now by Linear Pair postulate we have,

∴ ∠ 11 + ∠ 12 = 180° say (equation 2)

Now by replacing ∠12 by ∠ 10 from equation 1 in equation 2 we get

∴ ∠ 11 + ∠ 10 = 180°

Hence proved the above statement.

7 0

3 years ago

A telephone pole has a wire attached to its top that is anchored to the ground. the distance from the bottom of the pole to the

kirza4 [7]

The height of the pole is 96 feet

In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the legs a, b and the hypotenuse c, often called the Pythagorean equation:[1]

$a^{2}+b^{2}=c^{2},$

Create a diagram of the scenario first. You would have a right triangle with a hypotenuse (longest side) of h + 4, a longest leg of h - 68, and one leg of length h to represent the pole.

Set up the equation $h^2 + (h - 68)^2 = (h + 4)^2$ using the Pythagorean theorem ( $a^2 + b^2 = c^2$ ).

$h^2 + (h - 68)^2 = (h + 4)^2$

On simplifying we get

$h^2+h^2-136h+4624 = h^2+8h+16$

$2h^2-136h+4624=h^2+8h+16$

$h^2-144h+4608=0$

Solving using quadratic formula

$h_{1,\:2}=\frac{-\left(-144\right)\pm \sqrt{\left(-144\right)^2-4\cdot \:1\cdot \:4608}}{2\cdot \:1}$

$h_1=\frac{-\left(-144\right)+48}{2\cdot \:1},\:h_2=\frac{-\left(-144\right)-48}{2\cdot \:1}$

h1 = 96 feet , h2 = 48 feet

If height would have been 48 feet then the other side would have a negative value as as 48 - 68 = -20 .

Hence the height of the pole is 96 feet

Learn more about Pythagoras theorem here :

brainly.com/question/343682

#SPJ4

7 0

2 years ago

A room 9.5 m long and 6 m wide is surrounded by a verandah 1.25 m wide. Calculate the cost of

oksano4ka [1.4K]

Answer:

Step-by-step explanation:

Area of room = 6×9.5=57m2

Area of room including verandah = 12×8.5=102m2

So area of verandah = 102−57=45m2

So cost of cementing the floor of this verandah = 45×80=3600rupees

5 0

3 years ago

An equiangular triangle has one angle of measure 2x+8. What is x?

lina2011 [118]

Answer:

$x=26\\$

Step-by-step explanation:

The sum of the interior angles of a triangle add up to $180^{\circ}$ . Therefore, an equiangular triangle will have each of its angles equal to $60^{\circ}}$ . We can then set up the following equation:

$2x+8=60, \\2x=52, \\x=\fbox{$26$}$ .

3 0

3 years ago

Read 2 more answers

PLEASE HELP ME!!

Natali [406]

First put your numbers in order from least to greatest (These are negative numbers so that means that the smallest number is the one farthest away from zero)

-49, -43, -39, -18, -14, -12, -9

Mean is adding all the numbers together and dividing the sum by how many numbers there are in the data set

-49 + (-43) + (-39) + (-18) + (-14) + (-12) + (-9) = -184

There are seven numbers so divide -184 by 7:

-184 ÷ 7 ≈ 26.29

Median is the number in the middle. Take away the smallest number and the biggest number on each layer until you get to the middle

-49, -43, -39, -18, -14, -12, -9

-43, -39, -18, -14, -12

-39, -18, -14

-18 <-------------------Median

Mode is whatever number appears the most often in the data. In this case all the numbers appear only once so there is no mode

Range is subtracting the largest number by the smallest number

-9 - (-49) = 40

2. Data in order

13, 13, 13, 15, 21, 23, 25, 37

Outlier is the number that is a number that is rather far from the other number in the data

a. In this case the outlier is 37

b. 13 + 13 + 13 + 15 + 21 + 23 + 25 + 37 = 160

160 ÷ 8 = 20

c. 13 + 13 + 13 + 15 + 21 + 23 + 25 = 123

123 ÷ 7 = 17.57

Hope this helped!

~Just a girl in love with Shawn Mendes

6 0

3 years ago

Read 2 more answers

If the relationship is proportional, what is the missing value from the table? X y 8 6 16 ? O 8 09 O 12 O 14​

If the relationship is proportional, what is the missing value from the table? X y 8 6 16 ? O 8 09 O 12 O 14