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
11111nata11111 [884]
3 years ago
11

In parallelogram QRST, diagonals QS and RT intersect at point E. Which statement must be true? QS ⊥ RT ΔRES ≅ ΔTEQ ∠RQS ≅ ∠SQT Δ

TQE ≅ ΔRQE
Mathematics
1 answer:
jek_recluse [69]3 years ago
5 0

Answer:

ΔRES ≅ ΔTEQ

Step-by-step explanation:

A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel to each other.

Opposite angles of a parallelogram are equal and the diagonals bisect each other. Each diagonal of a parallelogram separates it into two congruent triangles.

Given parallelogram QRST with diagonals QS and RT intersecting at point E

Therefore, the diagonals divide parallelogram QRST into congruent triangles, hence:

ΔRES ≅ ΔTEQ

You might be interested in
for a stem competition julienne constructed a model rocket the rocket can reach an average height of 545 ft. Find the difference
zhenek [66]
We have the following table:
 545-534.2 = 10.8
 545-556.4 = -11.4
 545-554.0 = -9
 545-535.3 = 9.7
 write them as a positive and negative rational numbers
 positive:
 9.7 = 9 7/10
 10.8 = 10 4/5
 negative:
 -11.4 = -11 2/5
 -9 = -9
 the differences from least to greatest
 -11 2/5
 -9
 9 7/10
 10 4/5
8 0
3 years ago
Help plsssss just some math Ik the answer just want to check
neonofarm [45]
A c d hope this will help u
3 0
3 years ago
Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, negative 2, and 2
Tasya [4]

Answer:

f(x) = x3 + 3x2 − 4x − 12

Step-by-step explanation:

A polynomial which falls tot he left and rises to the right is a function with a positive leading coefficient. Its formed by the x-intercepts or zeros x = -3, -2 and 2. The zeros form the factors (x+3)(x+2)(x-2). Multiply the factors using the distributive property to find the function in standard form.

(x+3)(x+2)(x-2)

(x^2 + 3x + 2x + 6)(x-2)

(x^2 + 5x + 6)(x-2)

x^3 + 5x^2 + 6x -2x^2 - 10x - 12

x^3 + 3x^2 - 4x - 12

4 0
3 years ago
PLZZZZ HURRY ILL GIVE BRAINLEST POINTS PLZZZZ I NEED A 100% ON THIS TEST
PSYCHO15rus [73]

Answer:

y=2/3x-1 is 3/2

y=-2/3x-1 is x=3/2

y=-3/2x-1 is x= 2/3

Step-by-step explanation:

3 0
3 years ago
The perimeter of a triangle is not greater than 12 and the lengths of sides are natural numbers.
weqwewe [10]

Answer:

3 triangles

Step-by-step explanation:

Perimeter of triangle = a + b + c

Given that :

P = 12

and a, b, c are natural numbers

Let :

Side A = a

Side B = b

Side C = 12 - (a + b)

Side A + side B > side C - - - (condition 1)

a + b > 12 - (a + b)

a + b > 12 - a - b

a + a + b + b > 12

2a + 2b > 12

2(a + b) > 12

a + b > 6

Side A - side B < side C

a - b < 12 - (a + b)

a - b + a + b < 12

2a < 12

a < 6

b < 6 (arbitrary point)

Going by the Constraint above :

The only three possibilities are :

(2, 5, 5)

(3, 4, 5)

(4, 4, 4)

Total number of triangle = 3

Equilateral triangle (all 3 sides equal) = (4, 4, 4) = 1

Isosceles triangle (only 2 sides equal) = (2, 5, 5) = 1

3 0
3 years ago
Other questions:
  • Lucy has decided to go on a vacation for five days and she has up to $2,500 to spend. Her plane ticket cost $367 and her hotel r
    10·2 answers
  • Which is the best reason why step 1 is a good first step in the solution shown?
    13·1 answer
  • Q. You are carpeting a boardroom which measures 16 feet by 14.5 feet with a carpet that costs $18.50 per square foot of finished
    15·2 answers
  • PLEASE HELP<br><br> Determine which relation is a function.
    13·2 answers
  • There are 15 cartons that each contain a dozen eggs. Of all of the eggs ,5 are cracked? Round to the nearest percent, if necessa
    11·2 answers
  • <img src="https://tex.z-dn.net/?f=3x%20%2B%207%20%3D%2013" id="TexFormula1" title="3x + 7 = 13" alt="3x + 7 = 13" align="absmidd
    15·2 answers
  • The value of your quarters (in cents) is a function of , the number of quarters you have. Write an equation that represents this
    10·1 answer
  • If the volume of a cylinder is 90 inches and what is the volume of a cone?
    12·1 answer
  • Please help I need u I have a picture to explain
    15·1 answer
  • Can someone help me this is Algebra 2 thank you
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!