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
NemiM [27]
2 years ago
10

ΔEFG is located at E (0, 0), F (−7, 4), and G (0, 8). Which statement correctly classifies ΔEFG?

Mathematics
1 answer:
MariettaO [177]2 years ago
6 0

Answer:

ΔEFG is an isosceles triangle.

Step-by-step explanation:

Given:

E (0, 0),

F (−7, 4),

G (0, 8)

ΔEFG

Solution:

Distance formula

Distance d = \sqrt{(x_2-x_1)^2 +( y_2-y_1)^2

Step 1: Finding the length of  EF

By using distance formula,

EF = \sqrt{(-7 - 0)^2 + (4-0)^2}

EF = \sqrt{(49) + (16)}

EF = \sqrt{(49) + (16)}\\EF = \sqrt{65}\\

Step 2: Finding the length of  FG

By using distance formula,

FG = \sqrt{(0-(-7))^2+(8-4)^2}\\FG = \sqrt{(7)^2 +(4)^2}\\FG = \sqrt{49 +16}\\FG = \sqrt{65}

Step 2: Finding the length of  GE

GE= \sqrt{(0-0)^2 + (0-8)^2}\\\\GE =\sqrt{(-8)^2}\\GE = \sqrt{64}\\GE = 8

Thus we could see that the sides EF = FG

So it is  a isosceles triangle.

You might be interested in
Find the perimeter and the area of the polygon with the vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)
Irina-Kira [14]

Answer:

a) The perimeter of the rectangle =

= 22 units

b) The area of the rectangle

= 30 square units

Step-by-step explanation:

We solve the above question using the formula

= √(x2 - x1)² + (y2 - y1)²

When we are given vertices (x1, y1) and (x2, y2)

The vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)

We have to find the length of the sides

Side A

(-1, -2), (-6, -2)

= √(-6 - (-1))² +( -2 -(-2))²

= √-5² + 0²

= √25

= 5 units

Side B

(-6, -2), (-6, -8)

= √(-6 - (-6))² + (-8 - (-2))²

= √(-6 +6)² + (-8 +2)²

= √0² + -6²

= √36

= 6 units

Side C

(-6, -8), (-1, -8)

= √(-1 - (-6))² +(-8 - (-8))²

= √(-1 + 6)² + (-8 + 8)²

=√ 5² + 0²

= √25

= 5 units

Side D

(-1, -2), (-1, -8)

= √(-1 -(-1))² + (-8 - (-2))²

= √(-1 + 1)² + ( -8 + 2)²

= √0 + -6²

= √0 + 36

= √36

= 6 units

From the above calculation,

Side A = Side C = 5 units

Side B = Side D = 6 units

Hence, this polygon is a quadrilateral called the RECTANGLE.

Therefore:

a) The perimeter of the rectangle =

2L + 2W

= 2(5) + 2(6)

= 10 units + 12 units

= 22 units

b) The area of the rectangle

= Length × Width

= 5 units × 6 units

= 30 square units

4 0
3 years ago
ANSWER QUICK AND I WILL MAKE YOU BRAINLIEST
alekssr [168]

Answer:

The width of the window should be 7.6\ ft and the height of the window should be 3.8\ ft

Step-by-step explanation:

we know that

The circumference of a semicircle (window) is equal to

C=\pi r

we have that

C=12\ ft

\pi=3.14

substitute and solve for r

12=(3.14)r

r=12/3.14=3.8\ ft

so

the width of the window is equal to the diameter of the semicircle

so

The width of the window should be 3.8*2=7.6\ ft and the height of the window should be 3.8\ ft

4 0
3 years ago
Find all solutions for a triangle with c=70 c=24 and a=25
Slav-nsk [51]

Answer:

see the attachments for the two solutions

Step-by-step explanation:

When the given angle is opposite the shorter of the given sides, there will generally be two solutions. The exception is the case where the triangle is a right triangle (the ratio of the given sides is equal to the sine of the given angle). If the given angle is opposite the longer of the given sides, there is only one solution.

When a side and its opposite angle are given, as here, the law of sines can be used to solve the triangle(s). When the given angle is included between two given sides, the law of cosines can be used to solve the (one) triangle.

___

Here, the law of sines can be used to solve the triangle:

A = arcsin(a/c·sin(C)) = arcsin(25/24·sin(70°)) = 78.19° or 101.81°

B = 180° -70° -A = 31.81° or 8.19°

b = 24·sin(B)/sin(70°) = 13.46 or 3.64

5 0
2 years ago
Read 2 more answers
Please help been stuck on this for 40 minutes
choli [55]

we have given y interms of x.

we have given that add 2 to x.

which means y=x+2

so we have x=2 ,y=x+2=2+2=4.

so when x=2 ,y=4.

x=4,y=x+4=4+2=6..

y=x+2,y=6+2=8.

3 0
3 years ago
Read 2 more answers
A very small dinosaur , the microraptor was only 1.3 feet long. one of the largest dinosaures the diplodocus was about 91 feet l
Norma-Jean [14]
  A very small dinosaur , the microraptor was only 1.3 feet long. one of the largest dinosaures the diplodocus was about 91 feet long. how many times as long as the microraptor was the diplodocus ?  =78 feet
4 0
3 years ago
Other questions:
  • You jog 2 kilometers in 12 minutes. At this rate, how long will it take you to complete a 5 kilometer race, when using ratios an
    13·2 answers
  • Determine whether the samples are independent or dependent. Upper A data set includes the weight of 140 students before and afte
    9·1 answer
  • Only the smartest can answer
    15·1 answer
  • Which number is a rational number?​
    5·1 answer
  • Sherry bought a dozen daisies are $8.76 how much does a single daisy cost
    7·2 answers
  • A model of a volcano has a height of 12 in., and a diameter of 12 in.
    8·2 answers
  • 1. Which are true of x = log10 31,500? Select all that apply.
    13·1 answer
  • Question from my math test.
    14·1 answer
  • The value of Huda’s business computer is decreasing by 15% each year. Its value, in dollars, x years from now will be 3,000 1 17
    12·1 answer
  • Morton needs to have his car repaired. The auto repair shop charges a fixed dollar amount for labor, plus another dollar amount
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!