Mathematics: The coordinates of the vertices of parallelogram MATH are M(-7,5), A(6,5), T(4,-2), and H(-9,-2). What are the coordinate of G, the point of intersection of diagonals MT and ?

The coordinates of the vertices of parallelogram

Ответ:

mylittleponeyfbrarit

17.06.2021

Mathematics

G = (-1.5,1.5)

Step-by-step explanation:

Given

M = (-7,5)

A = (6,5)

T = (4,-2)

H = (-9,-2)

Required

Determine the coordinate of G

From the complete question, G is at the intersection of MT and AH.

So, G is calculated using midpoint formula

$G = \frac{1}{2}(x_1 + x_2, y_1 + y_2)$

For MT:

M = (-7,5) T = (4,-2)

$G = \frac{1}{2}(-7 + 4, 5 -2)$

$G = \frac{1}{2}(-3, 3)$

Open bracket

G = (-1.5,1.5)

To show that G = (-1.5,1.5)

We have:

A = (6,5) H = (-9,-2)

$G = \frac{1}{2}(x_1 + x_2, y_1 + y_2)$

$G =\frac{1}{2}(6-9,5-2)$

$G = \frac{1}{2}(-3, 3)$

Open bracket

G = (-1.5,1.5)

Hence, the coordinates of G is:

G = (-1.5,1.5)

0,0(0 оценок)

Ответ:

amandafutch24

10.05.2023

Mathematics

x = 25.9

Step-by-step explanation:

Apply law of sines.

$\frac{23}{ \sin(22) } = \frac{x}{ \sin(25) }$

$\frac{23}{ \sin(22) } \times \sin(25) = x$

x = 25.9

0,0(0 оценок)

The coordinates of the vertices of parallelogram MATH are M(-7,5), A(6,5), T(4,-2), and H(-9,-2). What are the coordinate of G, the point of intersection of diagonals MT and ?

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question