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
nikklg [1K]
3 years ago
11

SOLVE THIS EXTREMELY IMPORTANT EQUATION

Mathematics
1 answer:
finlep [7]3 years ago
6 0

Answer:

<em>Option B; EF = ( About ) 4.47 units, Perimeter of Δ EFG = ( About ) 12.94 units</em>

Step-by-step explanation:

If we were to consider the height of this triangle EFG, it would be 4 units of length, supposedly splitting base GF into two ≅ parts, each 2 units of length. First let us name the point drawn to base GF ⇒ point H, so that the height of Δ EFG ⇒ EH. Now as EH splits GF into two ≅ parts, by Converse to Coincidence Theorem, Δ EFG ⇒ Isosceles Δ;

EH and FH are legs of a right triangle EFH, so that Pythagorean Theorem can be applied to solve for the length of EF and EG, knowing that as Δ EFG ⇒ Isosceles Δ, EF ≅ EG;

( EH )^2 + ( FH )^2 = ( EF )^2,

( 4 )^2 + ( 2 )^2 = ( EF )^2 ⇒ take square of 4 & 2,

16 + 4 = ( EF )^2 ⇒ combine like terms,

( EF )^2 = 20 ⇒ take square root on either side to solve for EF,

EF = √ 20 =<em> ( About ) 4.47 units</em> = EG,

Perimeter of Δ EFG = EF + GF + EG = 4.47 + 4 + 4.47 = <em>( About ) 12.94 units,</em>

<em>Solution; Option B</em>

You might be interested in
The midpoint of PQ is M(, –1). One endpoint is Q(3, –5). Which equations can be solved to determine the coordinates of P? Check
valkas [14]

<u>Comment</u>

If I don't know what was before the comma in M(, –1) I can't solve this

6 0
3 years ago
What is the equation of the line? Graph of a line in the coordinate plane through the origin and the point begin ordered pair 1
Margarita [4]

Here the line passes through (0,0) and (1,3).

First we need to find the slope , and for that we need to use the following formula

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

On substituting the values from the point, we will get

m=\frac{3-0}{1-0}=3

Now we will use slope intercept form, which is

y = mx+ b

Where m is the slope and b is the y intercept

And on substituting the values of x and y from the point (1,3) and slope, m = 3, we will get

3 = 3(1)+b

3=3+b

b =0

Substituting the values of m and b in the slope intercept form, we will get

y= 3x

4 0
3 years ago
Read 2 more answers
A Tessellation has no________. A) gaps or overlaps B) translations C) repeated figures
ozzi
A tessellation has no A) gaps or overlaps, as a tessellation is all about repeated figures, which can be translated onto other figures, this produces a pattern.<span />
8 0
3 years ago
An aircraft flew 5 hours with the wind. The return trip took 6 hours against the wind. If the speed of the plane in still air is
Yakvenalex [24]

Answer:

Speed of wind = 23.63 miles per hour

Plane speed in still air = 260 miles per hour

Step-by-step explanation:

Given:

Time taken with wind = 5 hour

Time taken against wind = 6 hour

Assume;

Speed of wind = s

So,

Speed of Plane with wind = (260 + s) miles per hour

Speed of Plane against wind = (260 - s) miles per hour

Distance = speed x time

So,

(260 + s)5 = (260 - s)6

1,300 + 5s = 1,560 - 6s

11s = 260

s = 23.63 miles per hour

Speed of wind = 23.63 miles per hour

Plane speed in still air = 260 miles per hour

5 0
3 years ago
I don't know how to find a different angle from this. PLEASE HELP FIND X!!!! THANKS!!!
timama [110]

The intersection of the two red rays forms a set of vertical angle pairs. In such a pair, angles opposite one another have the same measure, so the angle opposite the one labeled 93 degrees also has measure 93 degrees.

The red ray on the right together with the black ray pointing directly to the right form a pair of supplementary angles, whose measures add up to 180 degrees. This means the angle adjacent to the one labeled 128 degrees has measure 180 - 128 degrees.

In any triangle, the interior angles' measures add up to 180 degrees. So we have

? + 93 + (180 - 128) = 180

? + 93 - 128 = 0

? = 128 - 93

? = 35

8 0
3 years ago
Other questions:
  • You start an account with $500 and an interest rate of 6% compounded yearly. How much is in the account after 3 years?
    9·1 answer
  • CHECK MY ANSWER. Geometry. Do not bother answering if you don't know what you're doing. In a 30-60-90 triangle, what is the leng
    15·1 answer
  • Which pair of lines have the same slopes and y-intercepts?
    7·1 answer
  • 2.333333333 rounded to the nearest tenth
    13·2 answers
  • YeOOoOoOOoOoOooOoOOOoOOoooooOoOOOooO,
    5·1 answer
  • What is 7x1??????????????????????????
    5·1 answer
  • A teacher grades 27 tests in 3 hours How many tests can the teacher grade in 8 hours if he works at the same rate
    7·2 answers
  • Please help mee<br><br><img src="https://tex.z-dn.net/?f=7%20-%20%28%20-%203%29" id="TexFormula1" title="7 - ( - 3)" alt="7 - (
    7·1 answer
  • Taylor is twice as old as jessi if you add their ages together you get 27 hold old are Taylor and jessi
    13·1 answer
  • Callie is installing a rectangular walkway up to her house. The width of the walkway is 5 feet and the length is 27 feet. She ne
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!