All categories

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.

You might be interested in

A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,420 ft Determine the flag's width and

ElenaW [278]

The answer is 80ft 140ft

5 0

2 years ago

Many people feel that the drying of pavement marking paint is much too slow. You spend several days looking for the fastest dryi

slavikrds [6]

Answer:

Step-by-step explanation:

Using<em> Simple Random Sampling</em>, we can estimate the sample size by the formula

$\bf n=\frac{Z^2S^2}{e^2}$

where

n = sample size

Z = the z-score corresponding to the confidence level 99.5%

S = the assumed standard deviation = 3 seconds

e = margin of error = 2 seconds

<em>It is worth noticing that the higher the confidence level, the larger the sample should be. </em>

The z-score corresponding to a confidence level of 99.5% can be obtained either with a table or the computer and equals

Z = 3.023

Replacing the values in our formula

$\bf n=\frac{(3.023)^23^2}{2^2}=20.5616\approx 21$

So the size of the sample should be at least 21.

7 0

2 years ago

HELP PLEASE!!!!

kumpel [21]

Answer:

The rational numbers are $\frac{11}{3}, 6.25, 0.01045,\sqrt{\frac{16}{81}},0.\bar{42}$ and the irrational functions are $\sqrt{48},\sqrt{\frac{3}{16}}$ .

Step-by-step explanation:

A rational number can be expressed in the form of $\frac{p}{q}$ , where p and q are integers and q is not equal to 0. For example $2,3.5,\frac{2}{5},...$ .

An irrational function can not be expressed in the form of $\frac{p}{q}$ , where p and q are integers and q is not equal to 0. For example $\sqrt{2},\sqrt{3},\sqrt{5},...$ .

If any number is multiplied by a irrational number then the resultant number is an irrational number.

By the above definition we can conclude that:

The number $\frac{11}{3}$ is a rational number.

$\sqrt{48}=\sqrt{16\times 3}=4\sqrt{3}$

Therefore $\sqrt{48}$ is an irrational number.

$6.25=\frac{625}{100}=\frac{25}{4}$

Therefore 6.25 is a rational number.

$0.01045=\frac{1045}{100000}=\frac{209}{20000}$

Therefore 0.01045 is a rational number.

$\sqrt{\frac{16}{81}}=\frac{4}{9}$

The number $\frac{16}{81}$ is a rational number.

$\sqrt{\frac{3}{16}}=\frac{\sqrt{3}}{4}$

The number $\frac{3}{14}$ is an irrational number.

$0.\bar{42}=\frac{42}{99}$

Therefore $0.\bar{42}$ is an irrational number. The numbers with recursive bar are always rational numbers.

3 0

3 years ago

Given the function f(x) = -5|x + 1| + 3, for what values of x is f(x) = -12? O X= -2. x = 1 O x= -2 x = 4 O x = 2. x = 4 O x = 2

puteri [66]

The values are x= -2 and x =4 of the given function f (x) =-5|x+1| +3

<h3>What is function?</h3>

Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

According to the question,

The given function is

$f(x) = -5|x + 1| + 3$

Here f(x) = -12

Substitute f(x) and solve for x

$- 12 = -5|x + 1| + 3$

By subtracting 3 on both sides

$- 12 - 3 = -5|x + 1| + 3 - 3$

$- 15 = -5|x + 1|$

By dividing -5 on both sides

$3 = |x + 1|$

We get absolute values for the function.

$x + 1 = 3 , x + 1 = -3$

By subtracting 1 on both sides

$x + 1 - 1 = 3 - 1 = 2\\\\x + 1 - 1 = - 3 - 1 = -4\\\\x = 2 , x = - 4$

Therefore, the values of x are 2 and - 4 of the given function f (x) =-5|x+1| +3

Learn more about function here: brainly.com/question/12431044

#SPJ1

4 0

1 year ago

Coverage for injury and property damage sustained by others for which you or covered residents of your household are legally res

lana66690 [7]

Answer:

Liability insurance

Step-by-step explanation:

Liability insurance provides protection against claims resulting from injuries and damage to people and/or property. Liability insurance covers legal costs and payouts for which the insured party would be found liable. Provisions not covered include Intentional damage, contractual liabilities, and criminal prosecution.

5 0

2 years ago