1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lemur [1.5K]
3 years ago
14

Triangles Q R S and X Y Z are shown. Angles Q S R and X Z Y are right angles. Angles Q R S and X Y Z are congruent. The length o

f Y Z is 9, the length of X Z is 12, and the length of hypotenuse X Y is 15. Given △QRS ~ △XYZ, what is the value of tan(Q)? Three-fifths Three-fourths Four-fifths Four-thirds

Mathematics
2 answers:
kumpel [21]3 years ago
7 0

Answer:

Three-fourths

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

∠QSR≅∠XZY ---> given problem

∠QRS≅∠XYZ ---> given problem

so

△QRS ~ △XYZ ----> by AA Similarity theorem

Remember that, if two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

That means

\frac{QS}{XZ}=\frac{QR}{XY}=\frac{RS}{YZ}

∠Q≅∠X

∠R≅∠Y

∠S≅∠Z

<em>In the right triangle XYZ</em>

Find the tangent of angle X

tan(X)=\frac{YZ}{XZ} ---> opposite side angle X divided by adjacent side angle X

substitute the given values

tan(X)=\frac{9}{12}

Simplify

tan(X)=\frac{3}{4}

Remember that

∠Q≅∠X

so

tan(Q)=tan(X)

therefore

tan(Q)=\frac{3}{4} ---->Three-fourths

tekilochka [14]3 years ago
6 0

Answer:

B

Step-by-step explanation:

I took the test on E2020.

You might be interested in
Which ordered pair is a solution to the system of inequalities?<br> y&gt;−2 and x+y≤4
Kamila [148]

Answer:-2,-3

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
NEED ANSWERS QUICKLY! CORRECT ANSWER GETS BRAINLIEST
dolphi86 [110]

Answer/Step-by-step explanation:

Quotient is simply the ratio of the first numerator to the second numerator:

Let's \frac{x_1}{y}\;and\;\frac{x_2}{y} are two fractions in same terms.

Thus, \frac{x_1}{y}\div\frac{x_2}{y} {Divided by a fraction is equal to multiplied by its reciprocal}

=\frac{x_1}{y}\times\frac{y}{x_2}

Quotient is simply the quotient of their numerators.

Example could be:

\frac{2}{7}\div\frac{3}{7}

\frac{2}{7}\times\frac{7}3}

\frac{2}{3}

2 is first numerator and 3 is the second numerator.

<u><em>~lenvy~</em></u>

3 0
2 years ago
Can someone please tutor me on Alger because that’s my most failing class and I often need help with simple problems every one c
kotykmax [81]

Enlist your parents help to find you a decent tutor, it is much better to meet face to face.

4 0
3 years ago
What is 2 2/3 x 15 plz help for my hw
SIZIF [17.4K]
The answer is 40.You should change the 2 2/3 to improper fraction and the times it with 15.
3 0
3 years ago
Read 2 more answers
17- 9=6<br> I really need help with this one
Ymorist [56]

Answer:

It's not right.

Step-by-step explanation:

8 is not equal to 6

5 0
3 years ago
Other questions:
  • a rectangle had a width of 5m+12. Its length was twice the width. what was the length of the rectangle? and what was the perimet
    7·1 answer
  • What is the algebraic expression for the following word phrase: the sum of 5 and 2x?
    12·1 answer
  • Six people share 3/5 pound of peanut equally what the fraction amount they recieve
    12·1 answer
  • If a fair-number cube with sides numbered from 1 to 6 is tossed 240 times, approximately how many times would the fair-number cu
    15·1 answer
  • QUESTION
    9·1 answer
  • URGENT HELP MEEEEE!!!:D
    9·2 answers
  • Please i need help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    7·1 answer
  • Ms. Drohan's dog weighs 11 pounds 8 ounces. Ms. Granahan's dog weighs 245 ounces. Whose dog weighs more? A.
    7·2 answers
  • a television program is 60 minutes long, and 20% of the time is taken up by commercials. How many minutes of commercials are the
    10·1 answer
  • (b) Scott added 8 fish to his pond each day for 64 days. What was the total change in the number
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!