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Nadusha1986 [10]
2 years ago
5

Tell whether the triangles are similar. Explain.

Mathematics
2 answers:
Marina86 [1]2 years ago
4 0

Answer:

Step-by-step explanation:

We can use the AA Similarity Theorem that says that if two corresponding pairs of angles are congruent then the two triangles are similar.

11.

On the big triangles we are given one angle is 90° , one angle is 51° and

we know that the sum of all angles in a triangle is 180.

Calculate the missing angle in the big triangle:

180 -90-51 = 39°

Also in the picture we see a given angle of 102° that is adjacent to the 39° angle and another missing angle adjacent that form together 180° given the 2 triangles sin on a straight line.

Calculate the third missing angle

180 -39-102 = 39°

The green triangles are similar because of AA Similarity Theorem.

A= 39°=39° angles with same measure are congruent

A=90°=90° all right angles are congruent

12.

We have 2 vertical angles here and we know that vertical angles are congruent. Is given one of the vertical angle is 29° so the other vertical angle is 29° as well.

We are also given an angle of 88° and given that the sum of angles in a Δ is 180° we can find the third angle in that Δ.

180-29-88 = 63°

On the Δ that is on the right side we are given an angle of 91° and an adjacent angle along a straight line so they must form together 180°.  91+89 = 180

So the third angle in the Δ is 180-29-89 = 62.

We can see here that the angles are not congruent so the yellow triangles are NOT similar.

Nata [24]2 years ago
3 0

Answer:

Similar

Step-by-step explanation:

They are similar because they are the same shape

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A circle has been split into 8 sectors each of which can be colored as 4 different colors, and no consecutive sectors are colore
Eva8 [605]

Answer:

5832 ways

Step-by-step explanation:

Since the circle has 8 sectors and there is 4 colour,

Assuming the sectors are numbered 1 to 8,

Sector 1 : can be coloured with any of the 4 colour in 4 ways

Sector 2 can be coloured with any of the remaining 3 colours in 3 ways

Sector 3 in 3 ways without using the colour in sector 2

Sector 4 in 3 ways without using the colour in sector 3

Sector 5 in 3 ways without using the colour in sector 4

Sector 6 in 3 ways without using the colour in sector 5

Sector 7 in 3 ways without using the colour in sector 6

Sector 8 in 2 ways without using the colours in sector 1 and 7

Number of ways of colouring = 4*3*3*3*3*3*3*2 = 5832 ways

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2 years ago
What happens when an image is reflected over y = -x
notka56 [123]

Answer:

Well, it's pretty simple. If your reflecting something over the y axis the X will change if it's negative or positive. So if it's -x and you flip it over it becomes a positive x. If you flip it over the x-axis the Y is the one that change to a negative or positive.

So if the shape flips over the y-axis, the X points will turn negative. for example, one of the points is (1,4) it will turn to (-1,4)

Step-by-step explanation:


7 0
3 years ago
Sam and Bruno were computing how many kilometers they rode in the 3 bike trips they took last month. In order, they rode 45.7, 4
Eddi Din [679]

Answer:

We are given number of miles the 3 bike trips they took last month = 45.7, 40.9, and 38 miles.

Sam and Bruno were computing how many kilometers.

Also one kilometer equals 0.621 miles.

From this we can see than 1 kilometer is smaller unit and a mile is a larger unit.

In order to convert number of miles into kilometers, we need to divide each number of mile by 0.621 miles.

We always divide a larger value by a smaller value to get the smaller unit.

Therefore,

Bruno is correct. When going from a larger unit to a smaller unit you need to divide.

Step-by-step explanation:

Hopefully this helped, if not HMU and I will get u a better answer.

<em>-Have a great day! :)</em>

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3 years ago
Write an expression meaning 4 less than 5 times a number
Rudiy27

Answer:

Expression: 5 x n - 4

4 0
2 years ago
Read 2 more answers
The demand function Q and cost function C(Q) of a commodity are given by the equations \[ Q = 20 - 0{,}01P\]
BartSMP [9]

The total revenue of the function is the product of the quantity and the price

The total revenue in terms of P is TR = 20P - 0.01P^2

<h3>How to determine the total revenue?</h3>

The demand and the cost functions are given as:

Quantity function, Q = 20 - 0.01P

Cost function, C(Q)=60+6Q

The total revenue is calculated as:

TR = Q * P

Substitute Q = 20 - 0.01P in the above equation

TR = P * [20 - 0.01P]

Evaluate the product

TR = 20P - 0.01P^2

Hence, the total revenue in terms of P is TR = 20P - 0.01P^2

Read more about total revenue at:

brainly.com/question/25623677

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