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2 years ago

Which triangles illustrate the Side Angle Side Similarity theorem (abbreviated S A S).

Mathematics

2 answers:

Anni [7]2 years ago

8 0

Triangle a,b and d are the answers.

<h3>How to find the side angle side (SAS)?</h3>

"SAS" is when you know the two sides and the angle between them. Use the cosine theorem to calculate the unknown edge, then use the sine and cosine theorem to find the smaller of the other two angles, and then use the three angles that are 180 ° to find the last angle. .. The side of the

angle refers to the two rays or line segments that form the angle. In the figure below, the rays BA and BC are the sides of the angle ABC. An angle is formed by rotating a ray around its endpoint.

Edge-side assumptions-> If the two sides and edges of a triangle are congruent with the two sides and the edges of another triangle, the two triangles are congruent by the side-angle assumptions.

Learn more about triangles here:brainly.com/question/3999145

#SPJ2

worty [1.4K]2 years ago

6 0

Answer:

Triangles a, b, and d

Step-by-step explanation:

The three triangles have a side length measurement, an angle measure, then another side length measurement

in that order (the order matters)

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It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel

Olegator [25]

The length of train is 120 meters

The speed of train is 25 meter per second

Solution:

The speed is given by formula:

$speed = \frac{distance}{time}$

Given that,

It takes a train 60 seconds to completely drive through a bridge of 1260 m

And 90 seconds to completely drive through a tunnel of 2010 m

Let the length of the train be "x"

The total distance travelled by the train across the bridge is given by:

total distance = x + 1260 + x = 2x + 1260

[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

Therefore, the speed is given as:

$speed = \frac{2x+ 1260}{60}$

The total distance travelled by the train through the tunnel is given by:

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

Therefore, the speed is given as:

$speed = \frac{2x+ 2010}{90}$

The speed of the train was the same in both cases.

Equate both speeds

$\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}$

$\frac{x+630}{30} = \frac{x+1005}{45}$

$45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120$

Thus length of train is 120 meters

Find the speed of train:

$speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25$

Thus speed of train is 25 meter per second

5 0

3 years ago

When Marika bought her house she paid 80% of the purchase price of the house with a loan. She paid the remaining 49,400 of the p

Maurinko [17]

Let

x-----> the purchase price of the house

we know that

1) Marika paid $80\%$ of the purchase price of the house with a loan

2) Marika paid the remaining $\$49,400$ of the purchase price with her savings

3) $\$49,400$ represent the $20\%$ of the purchase price

$0.20x=49,400$

Solve for x

Divide by $0.20$ both sides

$0.20x/0.20=49,400/0.20$

$x=247,000$

therefore

the answer is

the purchase price of the house is $\$247,000$

3 0

3 years ago

Customer: "I see that the amount I owe has been reduced from $90.00 to $75.00." Employee: "Yes, the discount has saved you _____

dusya [7]

Answer:

15 dollers or 22.5%

Step-by-step explanation:

thank you i hope this helps

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4 years ago

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LiRa [457]

Thats like geometry
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5 0

3 years ago

I need help with this answer?

Bumek [7]

Answer:

dont u have the answer

Step-by-step explanation:

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3 years ago