Can you use the SAS postulate, the AAS theorem, or bothto prove the triangles are congruent

In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer . Roy answered all t

katovenus [111]

Answer:

20 questions

Step-by-step explanation:

Given

$Correct \Marks= +5$

$Incorrect\ Marks= -2$

$Score\ Obtained = 30$

$Number\ of\ correct\ answers = 10$

Required

Number of questions answered

First, we need to get the total correct marks obtained by Roy

This is calculated by multiplying the correct marks by number of correct answers

$Total = +5 * 10$

$Total = +50\ marks$

Subtract this from the total scores obtained; This gives the total incorrect answer obtained by Roy

$Incorrect = Scores\ Obtained - Total$

$Incorrect = 30 - (+50)$

Open bracket

$Incorrect = 30 - 50$

$Incorrect = -20$

Divide this by -2 to get the number of incorrect answers

$Incorrect\ Answers = \frac{-20}{-2}$

$Incorrect\ Answers = 10$

Add this to the number of correct answers to give the total number of question answered

$Total = Correct\ Answers + Incorrect\ Answers$

$Total = 10 + 10$

$Total = 20$

Hence, Roy answered a total of 20 questions

3 0

3 years ago

The area of a triangular block is 49 square inches. If the base of the triangle is twice the height, how long are the base and t

andrezito [222]

1) Formula: area = height * base / 2

2) Call x the height:

height = x

base = 2x

3) State the equation:

(x)(2x) = 49 in^2

4) Solve the equation:

2x^2 = 49 in^s

x^2 = (49/2) in^2

x = √(49/2) in

x = 7√2 / 2 in = 3.5 √2 in

5) Solution:

height = 3.5 √2 in and base = 7√2 in

6) Verification: area = (7√2 in) (3.5√2 in) = 49 in^2

Answer: height = 3.5√2 in and base = 7√2 in.

5 0

3 years ago

¿Cuántas esferas hay en la figura 20?

scoundrel [369]

Answer:

418

Step-by-step explanation:

fig 2 = fig 1 + 5

fig 3 = fig 2 + 7 or fig 1 +5+7 16

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

4+5+7+9+11+13+15+17+18+19+21+23+25+27+29+31+33+35+37+39

8 0

3 years ago

A school requires an entrance exam score that is in the top 3% of the population in order to be accepted. If an entrance exam ha

Troyanec [42]

The answer is letter C.) 603.40

The minimum required score can solved using the equation
MRS = mean + (zscore)(SD)

where z score of 0.03 is 1.88

MRS = 500 + (1.88)(55)
MRS = 603.40

Thank you for posting your question. I hope you found what you were after. Please feel free to ask me more.

3 0

2 years ago

Suppose that 50% of all babies born in a particular hospital are boys. If 6 babies born in the hospital are randomly selected, w

WINSTONCH [101]

Using the binomial distribution, it is found that there is a 0.3438 = 34.38% probability that fewer than 3 of them are boys.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$