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
Sveta_85 [38]
3 years ago
15

Suppose triangle TIP and triangle TOP are isosceles triangles. Also suppose that TI=5, PI=7, and PO=11. What are all the possibl

e lengths TP$? Enter the possible values, separated by commas.

Mathematics
1 answer:
Ede4ka [16]3 years ago
7 0
<h3>Two answers: 5, 7</h3>

====================================================

Explanation:

A drawing may be helpful to see what's going on. Check out the diagram below. This is one way of drawing out the two triangles. The locations of the points don't really matter, and neither does the the orientation of how you rotate things. What does matter is we have the right points connected to form the segments mentioned.

----------

For now, focus on triangle TIP only. In order to have this be isosceles, we must make TP = 5 or TP = 7.

If TP = 5, then it's the same length as TI.

If TP = 7, then it's the same length as PI.

In either case, we have exactly two sides the same length (the other side different) which is what it means for a triangle to be isosceles.

----------

Let's consider triangle TOP. For it to be isosceles, we must have two sides the same length. We already locked in TP to be either 5 or 7 in the previous section above. So there's no way that TP could be 11 units long to match up with PO = 11.

If TP = 5, then OT must also be 5 units long so that triangle TOP is isosceles.

If TP = 7, then OT = 7 for similar reasoning.

Either way, TP only has two choices on what it could be.

----------

In short, we basically just write the first two values given to us to get the two triangles to be isosceles. We can't use TP = 11 as it would make triangle TIP to be scalene (all sides are different lengths).

You might be interested in
Tual School
Lady_Fox [76]

Answer:

The absolute value equation to represent the scenario is |x - 250| = 25. Also, the minimum amounts and maximum amounts that the artist received for her products is $225 and $275 respectively.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the amount the artist can receive for the goods, hence:

|x - 250| = 25

x - 250 = 25 or -(x - 250) = 25

x = 275 or x = 225

The absolute value equation to represent the scenario is |x - 250| = 25. Also, the minimum amounts and maximum amounts that the artist received for her products is $225 and $275 respectively.

5 0
2 years ago
Use substitution to solve the system of equation<br><br> x=y+6<br> x+y=10
DiKsa [7]
X = 8
Y = 2 Your welcomeeeeee
6 0
2 years ago
Read 2 more answers
20 POINTS! TTM
g100num [7]

A relation is (also) a function if every input x is mapped to a unique output y.

In terms of graphical representation, this implies that a graph represents a function if there doesn't exist a vertical line that intersects the graph more than once. So:

  1. The first graph is exactly a vertical line, so it's not a function.
  2. The second graph represents the function y=x, so it's a function: you can see that every possible vertical line crosses the graph only once.
  3. The third graph is not a function, because you can draw vertical lines that cross the graph twice.
  4. Similarly, in the fourth graph you can draw vertical lines that cross the graph twice
  5. The fifth graph is a function, because every vertical line crosses the graph once
  6. The last graph is a function, although discontinuous, for the same reason.
8 0
3 years ago
Read 2 more answers
How much is 50 dollars
Black_prince [1.1K]
Answer
50 dollars
Explanation
4 0
2 years ago
Read 2 more answers
Please solve this...question..it may come in my exam.#math problem fast solve it and help me​
ehidna [41]

Answer:

n + y

Step-by-step explanation:

a² - b² = (a +b)(a - b)

\frac{n^{2}-y^{2}}{n+y} ÷ \frac{n - y }{n + y } = \frac{(n + y)(n - y)}{(n + y)}*\frac{(n + y)}{(n - y)}\\\\    

    { (n + y) in the denominator and numerator will be cancelled ;

       (n - y) in the denominator and numerator will be cancelled

                    = n + y

3 0
3 years ago
Other questions:
  • Logbase3 (x+2)= log base3 (2x^2-1) steps 1 through 6
    11·1 answer
  • How do I plot these on the number line?? Answers quick!
    7·1 answer
  • You make $0.75 for every newspaper you sell. Write and solve an equation to find how many newspapers n you have to sell to buy t
    7·2 answers
  • Repost: I don't want anyone to give me the answer. I just need to know the best way to solve it.
    7·1 answer
  • Please, ASAP help 20 points
    13·1 answer
  • The best fitting straight line for a data set of X-values plotted against y-values is
    14·1 answer
  • PLEASE!!! I'LL GIVE YOU MY HOUSE IF YOU CAN ANSWER THIS!!! PLUS BRAINLIEST ANSWER! Y= 1\2x-2. COMPLETE THE ORDERED PAIRS (2,_) (
    7·1 answer
  • EASY QUESTION ASAP Is y = 5x + 6 and 10x – 2y = 3 a parallel, perpendicular or neither. Please explain !
    13·1 answer
  • What is the value of x?
    5·2 answers
  • What is the value of this expression -3/4+(1/10 divided by 2/5)?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!