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
PilotLPTM [1.2K]
1 year ago
14

Geometry question I need help with it

Mathematics
1 answer:
Snowcat [4.5K]1 year ago
6 0

Answer:

True, False, False, False

Step-by-step explanation:

I'll find the lengths of all sides of the drawing before answering individual answers so that it's less confusing.

1) The question says that QR is a perpendicular bisector of TS. This means that the length of TQ and QS is the same. Also, since both triangles TRQ and SRQ share the same side RQ, and the angle between the two segments is 90 degrees, the two triangles are congruent (RTQ and RSQ) using SAS.

2) Side RT and TS will have the same length since the two triangles are congruent. (2x+1) = (4x-3) --> -2x = -4 --> x = 2. We can conclude that x = 2.

3) Now that we know that x = 2, we can find the length of side RS by replacing the x with 2. 4(2)-3 is 5, so RS = 5.

4) We can use the Pythagorean theorem to find RQ (Hypotenuse^2 = Other two sides added after being squared individually). Since the hypotenuse of triangle RSQ is RS which is 5, and one side is 4, we can input those into our equation. (5)^2 = (4)^2 + (RQ)^2. --> 25 = 16 + (RQ)^2 --> 9 = (RQ)^2 --> RQ = 3.

5) Since the two triangles RTQ and RSQ are congruent, side TQ and SQ also have the same length, since CPCTC (Corresponding parts of congruent triangles are congruent). QS is 4, so TQ will also be 4. This means that ST will be 8 (4+4). ST = 8

Now that we have all the clues, all we need to do is choose True or False.

RS = 5 is TRUE

RS = 4 is FALSE

ST = 10 is FALSE

QR = 4 is FALSE

You might be interested in
HELPPPP PLEASEEE!!! I NEED HELPP
zhenek [66]

Answer:

≥≤ are used when the number is less/greater or equal than some thing.

>< are used when a number is strictly less/greater than some thing.

1) a number x is less than 0 or at least 3

A number x is less than 0 is written as: x < 0.

x is at least 3 is written as: x ≥ 3.

Then we can write the statement as:

x < 0  ∨ x ≥ 3.

where ∨ means "or"

2) a number x is less than or equal to 4 and greater than -1

x less than or equal to 4 is written as: x ≤ 4

x is greater than -1 is written as: x > - 1.

We can write the statement as:

-1 < x ≤ 4

3) a number x is less than 8 and greater than or equal to 5

x is less than 8 is written as: x < 8

x is greater than or equal to 5 is written as: x ≥ 5.

Then the statement can be written as:

5 ≤ x < 8,

6 0
2 years ago
Find the length of the arc intercepted by central angle 0 = 250° in a circle with radius r =
andrew11 [14]

Answer:

6

Step-by-step explanation:

4 0
3 years ago
Is the decimal for 4 over 3 a repeating decimal ? expain
Alenkasestr [34]

Yes, the decimal form of \frac{4}{3}is indeed a repeating decimal. The expression is equivalent to 1 \frac{1}{3}, which is also 1.3333333 or "1.3 bar", signifying that the 3 will repeat infinitely.

5 0
3 years ago
Read 2 more answers
PLEASE HELP 20 POINTS
labwork [276]

Answer:

Step-by-step explanation:

You can simply count the number of unit cubes.

There are 11 cubic units.

6 0
3 years ago
Help me with all three problems please this is due tommorow and I don't wanna fail this semester!
Vinil7 [7]
Ahh I hate those books; alright, check out this picture for the answers.

3 0
3 years ago
Other questions:
  • PLEASE HELP!!!
    13·2 answers
  • Please answer this if you know 100% how to do it
    9·2 answers
  • What is the midpoint of the segment shown below (-11,0) (9,-1)
    12·2 answers
  • ASAP ANYONE PLEASE tell me if I’m right !
    11·2 answers
  • Two ice skaters push against each other. The skater on the left has a mass of 70.0 kg and the skater on the right has a mass of
    6·1 answer
  • Which system is equivalent to StartLayout Enlarged left-brace 1st Row 5 x squared + 6 y squared = 50 2nd row 7 x squared + 2 y s
    6·2 answers
  • It took a ball 4 minutes to roll 146 feet. What was this ball's average speed, in feet per second? (round to the nearest hundred
    8·2 answers
  • If $x - 2x + 3x = 100$, what is the value of $x$?
    8·1 answer
  • Divide: 0.364 ÷ 7<br> 5.2<br> 0.52<br> 0.052<br> None of these is correct.
    7·2 answers
  • )) A group of cyclists went bike riding during a 7-day vacation. They biked 129 miles in the
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!