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Marysya12 [62]
3 years ago
15

What information is necessary to prove two triangles are similar by the SAS similarity theorem?

Mathematics
2 answers:
Irina18 [472]3 years ago
4 0

Answer:

If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.

Step-by-step explanation:

Airida [17]3 years ago
4 0

Answer:

You need to show that two sides of one triangle are proportional to two corresponding sides of another triangle, with the included corresponding angles being congruent.

Step-by-step explanation:

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In 2007, there were more than 8.14 million cars for sale. The number of cars then decreased by 23% per year. Write an exponentia
tatuchka [14]

Answer:

In 2013 there were approximately 2.2 million cars for sale.

Step-by-step explanation:

Since the number of cars is decreasing by 23% per year, it is a decay model. This types of decay can be expressed in the following expression:

cars(x) = cars(2007)*(1 - 0.23)^{x - 2007}

Where x is the year, cars(2007) is the number of cars in 2007. Applying this data we have:

cars(x) = 8.14*(0.77)^{x - 2007}

If we want to know the number of cars in 2013, we need to apply that value to x and solve the expression.

cars(2013) = 8.14*(0.77)^{2013 - 2007}\\cars(2013) = 8.14*(0.77)^{5} = 2.20332

In 2013 there were approximately 2.2 million cars for sale.

7 0
3 years ago
In the triangle, find x, y, u, v
igomit [66]

x=9 units, y=12 units, u=24 units and v=32 units

Step-by-step explanation:

The question is on similarity.

The ratio of corresponding sides should be equal for the triangles to be similar.

Finding x

20/5=(3+x )/3

apply cross product

60=15+5x

60-15=5x

45=5x

45/5=x

9=x

Finding y

20/5=(4+y)/4

Apply cross product

80=20+5y

80-20=5y

60=5y

60/5 =y

12=y

Finding u after replacing values of x and y

60/20 = (12+u)/12

perform cross product

720=240 +20 u

720-240 =20u

480 =20 u

480/20 =u

24 =u

Finding v after replacing values of x and y

60/20 = (16+v)/16

perform cross product

960=320+20v

960-320 = 20v

640=20v

640/20 =v

32= v

Learn More

Ratio of sides in similar triangles :brainly.com/question/11717086

Keywords ; triangle, find, x,y,u,v

#LearnwithBrainly

8 0
4 years ago
Alberto has 62 pennies, 41 nickels,and 29 dimes. What stratelgy can Alberto use to find the total number of coins? Describe it a
nordsb [41]
Alberto can add all of the numbers of coins up to find the total number of coins. Now, you can add the recent total to 343 to get the FINAL amount of coins.
6 0
3 years ago
Will drank 3⁄4 of a cup of milk at breakfast and 5⁄6 of a cup of milk at lunch. How much milk did he drink in total?
coldgirl [10]

Answer:

1  7/12   cups

Step-by-step explanation:

3/4 + 5/6

LCM of 4 and 6 is 12 so we have

9/12 + 10/12

=19 / 12

= 1  7/12 cups of milk


5 0
3 years ago
A vacuum cleaner costs $68, and the full-replacement extended warranty costs $22. if the manufacturer sells 360,920 vacuum clean
olasank [31]

The cost of the 15 percent of replaced vacuum cleaner which are sold under warranty is $3,681,384. Option b is correct.

<h3>What is percentage ?</h3>

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

A vacuum cleaner costs $68, and the full-replacement extended warranty costs $22.

The manufacturer sells 360,920 vacuum cleaners under warranty and must replace 15% of them to honor the warranties. Thus, the number of vecuum cleaner replaced by manufacturer is,

n=\dfrac{15}{100}\times360,920\\n=54138

The cost of one vacuum cleaner is $68. Thus the cost of 54138 vcacuum cleaner is,

C=54138\times68\\C=3681384

Hence, the cost of the 15 percent of replaced vacuum cleaner which are sold under warranty is $3,681,384. Option b is correct.

Learn more about the percentage here;

brainly.com/question/24304697

8 0
3 years ago
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