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3 years ago

Which postulate or theorem proves that Δ QRS and Δ TRS are congruent?

Mathematics

2 answers:

Oliga [24]3 years ago

8 0

HL congruence theorem cuz it’s a right triangle with congruent hypotenuse

Akimi4 [234]3 years ago

6 0

Answer:

SAS

Step-by-step explanation:

Triangles QRS and TRS share the same side which is congruent by the reflexive property and perpendicular angles. They also have another congruent leg as marked on the diagram. These forms side-angle-side or SAS.

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PLs help...............

alexdok [17]

Answer:

The third one

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Match the numbers! EASYYYYY

oee [108]

Answer:

a=0.17

b=2/9

c=1/4

Step-by-step explanation:

1/5 is equal to 0.2 and a is lower than 1/5. The only option that is lower than 1/5 is 0.17. We know that c is greater than b because it's shown on the number line. 2/9 is equal to 0.22 and 1/4 is equal to 0.25. So, 1/4 is greater than 2/9 and c is greater than b. So that would make c = 1/4, and by default 2/9 and b are the only ones left so b= 2/9.

8 0

4 years ago

Round 6,311 to the nearest thousand

algol13

Answer:

6,000

Step-by-step explanation:

3 0

3 years ago

If f(x)=2-x^1/2 and g(x)+x^2-9, what is the domain of g(x)/f(x)?

Dominik [7]

As far a domain, you only care about the denominator and radicals.

f(x) = 2 - √x is the denominator, so it can't be 0.
Also x is under a radical, so x can't be negative.
Set the denominator equal to 0 to find the excluded values.

2 - √x = 0
-√x = -2
√x = 2
x = 4, so 4 is an excluded value

The domain is all real numbers greater than or equal to 0, except 4.
[0, 4) U (4, ∞)
0 ≤ x < 4 U x > 4

6 0

4 years ago

. The manager of a local small bank wants to estimate the average daily balance of all the checking accounts. Assume a random sa

MaRussiya [10]

Answer:

A 95% confidence interval estimate of the population mean (average) daily balance of all the checking accounts is $274.32 to $331.68

Step-by-step explanation:

Consider the provided information.

A random sample of 21 checking accounts at the bank are chosen,

That means n=21

df = n-1

df = 21-1=20

We need to Construct and interpret a 95% confidence interval.

Determine t critical value for 95% confidence interval.

0.95=1-α

α=0.05

The sample size is small and it is a two tailed test.

From the t value table confidence interval is 2.086

An average daily balance is $303 and a standard deviation of $63.

$CI=\bar x\pm t_c \times \frac{s}{\sqrt{n}}$

Substitute the respective values.

$CI=303\pm 2.086 \times \frac{63}{\sqrt{21}}$

$CI=303\pm 28.68$

$CI=274.32\ or\ 331.68$

A 95% confidence interval estimate of the population mean (average) daily balance of all the checking accounts is $274.32 to $331.68

3 0

4 years ago