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
Goshia [24]
3 years ago
5

The vertices of pentagon PQRST are P(9, 7), Q(9, 3), R(3, 3), S(3, 7), and T(6, 9). Graph the pentagon and find the length of si

de PQ
Mathematics
1 answer:
lianna [129]3 years ago
6 0

Answer:

4

Step-by-step explanation:

You might be interested in
1. Based on the information given, can you determine that the quadrilateral must be a
zhenek [66]

<u>Solving Q1: Given BE = ED and AE = EC.</u>

Considering triangles ΔAED and ΔCEB;

1. AE = EC (given)

2. ∠AED = ∠CEB (vertical angles)

3. ED = EB (given)

ΔAED ≡ ΔCEB (Side-Angle-Side congruency of triangles)

∠DAE = ∠BCE and AD = BC (using CPCTC)

⇒ AD║BC (Converse of Alternate Interior angles theorem)


Similarly consider triangles ΔABE and ΔCDE;

1. AE = CE (given)

2. ∠BEA = ∠DEC (vertical angles)

3. BE = DE (given)

ΔABE ≡ ΔCDE (Side-Angle-Side congruency of triangles)

∠ABE = ∠CDE and AB = CD (using CPCTC)

⇒ AB║CD (Converse of Alternate Interior angles theorem)


Since we have AB║CD, AB = CD and AD║BC, AD = BC.

Therefore, quadrilateral ABCD is a parallelogram.

****************************************************************************************************

<u>Solving Q2: The parallelogram has the angle measures shown in the diagram.</u>

It is clearly visible that both the triangles are Isosceles triangles, so opposite sides in each triangle are equal.

Consider two triangles given in the problem, we have two sets of congruent angles and one included side is common in both triangles.

Using Angle-Side-Angle congruence of triangles, both the triangles would be congruent too.

Using CPCTC, we can say opposite sides of quadrilateral would be congruent.

Therefore, all sides in given quadrilateral are equal.

Hence, Given quadrilateral is a Rhombus.

7 0
3 years ago
HELP!!!!!!! Find the quotient: (x²−5x+8)÷(x+2).
lesantik [10]

Answer:

quotient =-2x-1

Step-by-step explanation:

solve it by synthetic division,

6 0
4 years ago
(Please correct answers only) (Will mark brainliest)
sergij07 [2.7K]
The answer is B., valid because people were chosen randomly
This would make it a valid survey
Hope this helps!
;3
8 0
3 years ago
Read 2 more answers
1 | 4
3241004551 [841]

b. c=4s

you multiply x times 4 to get y

3 0
3 years ago
There are 32 volunteers to donate blood. Unfortunately, n of the volunteers did not meet the heath requirements, so they couldn'
Daniel [21]

Answer:

The volunteers donated 470(32-n) millimeters of blood.

Step-by-step explanation:

Given:

Total Number of Volunteers = 32

number of Volunteers failed to donate = n

Amount of blood donated by each volunteer = 470 mm

We need to find the Total amount of blood donated by the Volunteers.

Solution:

First we will find the number of volunteers donated blood.

the number of volunteers donated blood is equal to Total Number of Volunteers minus number of Volunteers failed to donate.

framing in equation form we get;

the number of volunteers donated blood = (32-n)

Now we will find Total amount of blood donated by the Volunteers.

Total amount of blood donated by the Volunteers is equal to Amount of blood donated by each volunteer multiplied by the number of volunteers donated blood.

framing in equation form we get;

Total amount of blood donated by the Volunteers = 470(32-n)

Hence The volunteers donated 470(32-n) millimeters of blood.

5 0
3 years ago
Other questions:
  • I see that your new product is available for 412.50 on the website. How much is it if I buy it in the store? The website is a 25
    10·1 answer
  • How do you solve this equation x^1/4+1=0?
    15·1 answer
  • The school's square parking lot has an
    8·1 answer
  • What is the angle of a triangle
    12·1 answer
  • 1.
    13·1 answer
  • Hey guys can you answer this please because I badly need it right now please
    11·1 answer
  • Solve the system.
    14·1 answer
  • Penny has some money. After
    14·1 answer
  • Give your answer in simplest form .<br> 4/5 x 19 =
    14·2 answers
  • Which best describe the relationship between the two lines describe below?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!