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2 years ago

What theorem can be used to prove the 2 triangles similar?

Mathematics

1 answer:

ASHA 777 [7]2 years ago

6 0

Answer:

C. SSS

Step-by-step explanation:

$\frac{AB}{SQ} = \frac{AC}{SR} = \frac{BC}{QR} = 2$

Thus, the ratio of the corresponding side lengths of both triangles are equal. This implies that all three corresponding side lengths of both triangles are proportional to each other.

Consequently, based on the SSS Criterion, we can conclude that both triangles are similar to each other.

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The larger of two numbers is twice the smaller increased by five. Find the two numbers if three times the larger exceeds double

melomori [17]

Answer:

Larger number is 13 and Smaller number is 4.

Step-by-step explanation:

Let the larger number be x.

Also let the smaller number be y.

We need to find the two numbers.

Given:

The larger of two numbers is twice the smaller increased by five.

framing in equation form we get;

$x=2y+5$ ⇒equation 1

Also Given:

Three times the larger exceeds double the smaller by 31

$3x=2y+31$ ⇒equation 2

Now Substituting the value of x from equation 1 in equation 2 we get;

$3(2y+5) = 2y+31$

Now Using Distributive property we get;

$6y+15 = 2y +31$

Combining the like terms we get;

$6y-2y = 31-15$

Now Using Subtraction property we get;

$4y =16$

Now Using Division property we get;

$\frac{4y}{4}=\frac{16}{4}\\\\y =4$

Now Substituting value of y in equation 1 we will find the value of x.

$x=2y+5\\\\x = 2\times4+5\\\\x=8+5\\\\x=13$

Hence Larger number is 13 and Smaller number is 4.

3 0

2 years ago

Please help me with this question. what is the area?

chubhunter [2.5K]

The formula for that area would be A=1/2xbxh so you would do A=1/2x3.5x3 and that equals 5.25

3 0

2 years ago

Round rhis number to the nearest thousand 3,842,532

deff fn [24]

Rounding to nearest 10: 3,842,530

Rounding to nearest 1,000:3,843,532

3 0

2 years ago

Read 2 more answers

please someone help I know the answer but I don't know how to place it on the scales below. (15 Points)

guapka [62]

Given:

a. 35% of 150 g

b. 113% of $55

To find:

The correct values for the given blanks.

Solution:

a. 35% of 150 g

Here, the percent part is 35% and percent whole is 100%.

35% of 150 g is:

$\dfrac{35}{100}\times 150=52.5$

So, the number part is 52.5 g and the whole number is 150 g.

Therefore, the percent part is 35%, number part is 52.5 g and the whole number is 150 g.

b. 113% of $55 g

Here, the percent part is 113% and percent whole is 100%.

113% of $55 is:

$\dfrac{113}{100}\times 55=62.15$

So, the number part is $62.15 and the whole number is $55.

Therefore, the percent part is 113%, number part is $62.15 and the whole number is $55.

6 0

2 years ago

Prove that the two circle shown below are similar 9.01

liraira [26]

Answer:

If you draw the linear line to their similar points and set equal then solve you can see their similar.... also can someone come help me answer my question? I NEED HELP PLS ANYONE!!

Step-by-step explanation:

4 0

3 years ago