Prove quadrilateral MATH, M (-4,-1) A(-3,2). T(3, 0), H(2, -3) is a rectangle

Answer:

Quadrilateral MATH is a rectangle

Step-by-step explanation:

Prove quadrilateral MATH, M (-4,-1) A(-3,2). T(3, 0), H(2, -3) is a rectangle

A rectangle is a quadrilateral whose opposite sides have the same lengths and are parallel.

We solve the above question using the formula below to find the length of its sides

= √(x2 - x1)² + (y2 - y1)² when we are given vertices(x1, y1) and (x2, y2)

For side MA

M (-4,-1) A(-3,2)

√(-3 - (-4))² + (2 - (-1))²

= √1² + 3²

= √1 + 9

= √10 units

For side AT

A(-3,2). T(3, 0)

√(3 - (-3))² + (0 - 2)²

= √6² + -2²

= √36 + 4

= √ 40 units

For side TH

T(3, 0), H(2, -3)

√(2 - 3)² + (-3 - 0)²

√-1² + -3²

= √1 + 9

= √10 units

For side MH

M (-4,-1) H(2, -3)

√(2 - (-4))² + (-3 - (-1))²

= √6² + 2²

= √36 + 4

= √40 units

From the above calculation, we can see that

Side MA = Side TH = √10 units

Side AT = Side MH = √40 units

Opposite sides are parallel to each other, hence quadrilateral MATH is a rectangle

Match each shape with its corresponding formula for area.

1. the line which divides a figure into two congruent mirror images
rotational symmetry
2. property where a figure can be folded along a line to create two congruent mirror images
line symmetry
3. property where a figure can be rotated less than 360° and still look the same
line of symmetry

Recopier et compléter chaque phrase.
....d'un repère est le seul point dont les ... sont
égales à zéro.
b. Tous les points situés au-dessus de l'... des abscisses
ont une ordonnée et ceux situés au-dessous, une
ordonnée
c Tous les points situés à gauche del... des ordonnées
ont une négative et ceux situés à droite, une ...
positive
d. Tous les points de l'axe des ... ont une abscisse
égale à zéro.
e. Tous les points de l'axe des ... ont une ordonnée
égale à zéro.

From 6am to 9am customers arrive in... From 6am to 9am customers arrive in droves to Betty's Bakery for her annual, 1 day only, cake sale. During that 3 hour period 1.75 customers enters the Bakery every minute. Betty and her staff can box cakes and check out customers only at the rate of 70 customers per hour. What is the average waiting time (minutes) for the customers who arrive in this 3-hour period of time?

Tony has begun to save money to buy a new video game. At the end of the first week, he has $8 in his savings. At the end of the second week he has $11 in savings, and after the third week he has $14.
Tony feels confident that he can continue this same pattern of saving money to buy the game.
Which function describes the sequence?

NUMBER THEORY The ratio of two less than a number to six more than that
number is 2 to 3. Which of the following numbers is it?
A8
B 18
C 22
D 24

HCF of 225 and 270 is?​

You roll a 6-sided die two times. What is the probability of rolling 1 and then rolling a 2

PLEASE HELP I WILL MARK BRAINLIEST

Justin get to the basketball game at 7:35 pm and it last for 3 hours and 27 minutes. what is the time now​

Emily has 6 pages of homework to do. If she can finish 3/8 a page in one
hour, how many hours will her homework take?

Angle A and angle B are complementary, and their measures
have a difference of 20°. What are the measures of the angles?

I need help please help me !!!! :(

Determining the Scale Factor of a Dilation Consider the dilation of pentagon ABCDE by a scale factor of If AB = 12, then A'B' A> If C'D' = 5, then CD = ​

PLEASEE HELP WILL GIVE BRAINLIEST

Can someone please help me with math

Can someone help me plzzz and thank you

Hannah Earns $68.00 per hour She is given a pay rise of 10% Workout how much extra money she gets per hour​

The height of the prism is 4 centimeters. What is the volume of the prism in cubic centimeters?
A.740 cm3
B.35.88 cm3
C.10.2cm
d.8.97 cm3

what are prime factors of 90​

Plz help so I can pass

Simplify: a(a+b+2)- 2(a²+ab+2a)+3(a+ab)​

Which of the following binomials is a factor of 22 + 7 −9 ?
A. − 3
B. + 1
C. 2 − 3
D. 2 + 9

Jenny runs a daycare center and charges $60 per day for each child. There are currently 50 children enrolled at the daycare. At a recent conference, Jenny was advised to lower her rates in order to stay competitive in her area. For each price decrease of $4 per day, the number of children enrolled at the center increases by two.
Write the equation that can be used to determine the number of price decreases, x, in dollars, for which the daycare center has a daily revenue of $2,800.
A.
(60 - 4x)(50 + 2x) = 2,800
B.
(60 + 4x)(50 - 2x) = 2,800
C.
(60 - 2x)(50 + 4x) = 2,800
D.
(60 + 2x)(50 - 4x) = 2,800

The volume of the Hawk’s refrigerator is 30 × 68 × 28.5 cubic inches.
The volume of the Lopez’s refrigerator is (30 × 68 × 28.5) + 16 cubic inches.
Without doing any calculations, which statement describes how the volume of
the Hawk’s refrigerator compares to the Lopez’s refrigerator?

A.
The volume of the Hawk's refrigerator is 16 cubic inches greater than the volume of the Lopez's refrigerator.

B.
The volume of the Hawk's refrigerator is 16 times less than the volume of the Lopez's refrigerator.

C.
The volume of the Hawk's refrigerator is 16 times greater than the volume of the Lopez's refrigerator.

D.
The volume of the Hawk's refrigerator is 16 cubic inches less than the volume of the Lopez's refrigerator.

guys what does integer mean in mathematicians , plss help i kind of forgot✌​

whats the 7482th digit of pi
find it if you can

what is 19 + 6x + 7 + 8x = 96

4(a + -5) in expanded form?

What is the area of the shaded portion of the trapezoid in the figure, in terms of? The figure is not drawn to scale. All of the given measurements are in feet.

Use the distributive property to write an equivalent expression
3(3W – 5x + 1)
Answer:
Submit Answer
help no file plz