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
jonny [76]
3 years ago
7

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:
taurus [48]3 years ago
5 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
You took a sample and calculated the following sample statistics: n = 5 x = 0 Q 1 = 0 M o d e = 0 s 2 = 2 Construct a set of sam
Andreyy89

Answer:

hhnnnuuurrgggh

Step-by-step explanation:

5 0
3 years ago
Pls help it is due today
strojnjashka [21]
50 students I believe
7 0
3 years ago
Read 2 more answers
Ellis has 29 nickels, 45 dimes, 14 quarters, and 18 fifty-cent piece. How much money does he have
egoroff_w [7]

Answer:

$18.45

Step-by-step explanation:

1.45 in nickels

4.5 in dimes

3.5 in quarters

9 in fifty cent piece

now you add them

1.45+4.5+3.5+9=

4 0
3 years ago
Read 2 more answers
Boxes of cereal normally cost £2.89 each, but a supermarket has a special offer: Boxes of Cereal 3 for the price of 2
Agata [3.3K]

Answer:

9 boxes

Step-by-step explanation:

Boxes of Cereal 3 for the price of 2, the the price of the 3 boxes of cereals must be : 2 × £2.89 = £5.78

Boxes Megan can buy for the offer = £20 ÷ £5.78  = 3.46 (to 3 s.f.)≈ 3

3 × 3 =9 packs

But they actually only cost : 3 × £5.78  = £17.34

Therefore after buying the offer Megan has £20 - £17.34 = £ 2.66 left, which is not enough to buy a single pack, so the answer is 9.

5 0
3 years ago
Write the equation of the line that passes through (3, 4) and (2, –1) in slope-intercept form.
Alona [7]
First find the slope. 4+1/3-2 = 5/1 or 5. Plug in your points to find b. 4=5(3)+b. 4=15+b. b=-11. SO the equation is y=5x-11.
6 0
3 years ago
Other questions:
  • What is the total amount of a new vehicle if the standard vehicle price is $14,530 options cost $1,717 and a destination charge
    15·1 answer
  • Find the range of the data.<br> 73, 69, 78, 68, 70, 86, 80, 72<br> The range is
    8·2 answers
  • The silver bar is 15cm long. The bar is melted and the silver is then made into a cuboid. The base of the cuboid is 10cm by 10 c
    12·1 answer
  • The standard kilogram (fig. 1.1a) is a platinum–iridium cylinder 39.0 mm in height and 39.0 mm in diameter. what is the density
    7·1 answer
  • PLEASE HELP ME!!!
    6·2 answers
  • Jeff is having a dinner party. He has a large rectangular table that seats 10 people on each long side and 4 people on the two e
    7·1 answer
  • PLEASE HELP ASAP!!! ):
    7·1 answer
  • Find the slope for (2, 150) and (4,130)
    15·1 answer
  • HELP <br><br> What is the equation of the trend line in the scatter plot ?
    14·1 answer
  • Question in picture below will mark brainliest.<br><br>Thanks :)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!