All categories

3 years ago

By what theorem or postulate can you determine the value of x?

Mathematics

1 answer:

Yakvenalex [24]3 years ago

5 0

Answer:

Triangle Proportionality Theorem.

Step-by-step explanation:

See the attached diagram.

Two lines EG and FH are parallel and hence, EG will divide the sides DF and DH in the same ratio as per Triangle Proportionality Theorem.

So, we can write $\frac{DE}{EF} = \frac{DG}{GH}$

⇒ $\frac{3}{4.1} = \frac{2.3}{x}$

⇒ x = 3.14 cm. (Answer)

You might be interested in

Find the 97th term of the arithmetic sequence

kozerog [31]

<h2>Answer:</h2><h2>The 97th term in the series is 409</h2>

Step-by-step explanation:

The given sequence is 25, 29, 33, ....

The sequence represents arithmetic progression

In an AP, the first term is a1 = 25

The difference between two terms, d = 29 - 25 = 4

To find the 97th term,

By formula, $a_{n} = a_{1} + (n - 1) d$

Substituting the values in the above equation, we get

$a_{97} = 25 + (97 - 1) 4$

= 25 + (96 * 4)

= 25 + 384

= 409

The 97 th term in the given sequence is 409.

3 0

3 years ago

What is 244 divided by 60 with remainders

Troyanec [42]

244 divided by 60 = 4.0666

3 0

3 years ago

Read 2 more answers

Which of the following expressions is equivalent to5(x +10) +x ? Select all that apply . A.5x + 10 + x B. 5x + 50 + x C.6x + D.5

ipn [44]

The correct answers are: B and C. Please mark Brainliest if helpful, thx!

8 0

3 years ago

Until recently a number of professions were prohibited from advertising. In 1977, the U.S. Supreme Court ruled that prohibiting

umka2103 [35]

Answer:

the two groups differed in their attitudes toward advertising, significantly

Step-by-step explanation:

given that until recently a number of professions were prohibited from advertising. In 1977, the U.S. Supreme Court ruled that prohibiting doctors and lawyers from advertising violated their right to free speech. The paper "Should Dentists Advertise?" Journal of Advertising Research, June 1982) compared the attitudes of 101 consumers and 124 dentists to the questions "I favor the use of advertising by dentists to attract new patients".

Hypotheses would be

H-0: the groups do not differ

H-a: The two groups differ significantly

(two tailed chi square test)

Observed

Group Strongly agree Agree Neutral Disagree Strongly disagree Total

Consumers 34 47 9 6 5 101

Dentists 9 18 23 28 46 124

Expected is calculated as row total * column total / grand total for each cell

chi square = (obs - exp)^2/Exp for each cell added

chi square = 79.2716

rxc 5x2

df = 4x1 =4

p value <0.00001

Since p < alpha say 0.01, we reject null hypothesis.

the two groups differed in their attitudes toward advertising, significantly

3 0

4 years ago

Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 25 cards, which was 20% of the cards sold for

Rina8888 [55]

Answer:

125 cards

Step-by-step explanation:

20% = 0.2= 1/5

So because 25 is 1/5 0f the total number cards multiply 25 by 4 to get the other 80% and add the first 25 cards to that number.

(25 x 4) + 25= ?

100 + 25 = 125

therefore 125 cards were sold.

8 0

2 years ago