The triangle EFG is an isosceles triangle as side EF is congruent to side EG.
How to determine a triangle according to its sides
In this question we have a triangle whose vertices are known. We need to define the figure according to the congruency among its sides. Two sides are congruent when both have the same length. There are three kinds of triangles:
Scalene - Three sides of different length.Isosceles - Two sides of equal length.Equilateral - All sides are of equal length.Sides are formed each pair of vertices. The length of each side can be found by means of Pythagorean theorem:
l = √[(Δx)² + (Δy)²]
First, write the locations of the vertices:
E(x, y) = (1, 4), F(x, y) = (5, 4), G(x, y) = (1, 0)
Second, determine the length of every side of the triangle:
EF = √[(5 - 1)² + (4 - 4)²]
EF = 4
FG = √[(1 - 5)² + (0 - 4)²]
FG = √[4² + (- 4)²]
FG = 4√2
EG = √[(1 - 1)² + (0 - 4)²]
EG = 4
By direct comparison, we conclude that the triangle EFG is an isosceles triangle.
To learn more on isosceles triangles: https://brainly.com/question/10147636
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The sum of Mrs. son's age and her age was 70 two years ago Q's age was 5 less than twice her son's age . Write a system and solve to find their ages
Step 1: Set up a table.
Algebra Age Problems
Step 2: Fill in the table with information given in the question.
John is twice as old as his friend Peter. Peter is 5 years older than Alice. In 5 years, John will be three times as old as Alice. How old is Peter now?
Let x be Peter’s age now. Add 5 to get the ages in 5 yrs.
Algebra Age Problems
Write the new relationship in an equation using the ages in 5 yrs.
In 5 years, John will be three times as old as Alice.
2x + 5 = 3(x – 5 + 5)
2x + 5 = 3x
Isolate variable x
x = 5
Answer: Peter is now 5 years old.
Plz help me plz fugugughfufgfhvjgu
Answer:
B is the only one i know, sorry.
Step-by-step explanation:
Hope this helped
solve the equation 3y + 9 2/5 = 28. explain the steps and properties you used. :)
Answer: division properties
Step-by-step explanation:
Paul built a triangular garden in his backyard, which is enclosed by a rectangular fence. How much of the backyard is not covered by the garden
Answer: 476m²
Step-by-step explanation:
Find the area of the triangle and then subtract it from the area of the rectangle.
Area of triangle = 1/2 * base * height
= 1/2 * 8 * 6
= 24m²
Area of rectangle:
= Length * Width
= 25 * 20
= 500m²
Area not covered by garden:
= 500 - 24
= 476m²
An is an operation that reverses the effect of another operation.
Answer:
Inverse operation
Step-by-step explanation:
Basically it is an operation that reverses the effect of another operation.
or miki5 $ 5.15
There were 41 tickets sold for an event. Tickets for children cost $1.50 and tickets for adults cost $2.00.
Total receipts for the event were $73.50. How many of each type of ticket were sold?
-
How many type of tickets were sold?
In ΔLMN, l = 810 cm, m = 620 cm and ∠N=166°. Find the length of n, to the nearest centimeter.
Answer: 1420
Step-by-step explanation:
A 100oz. bottle of Tide costs $10.57. What is the cost per ounce?
Answer:
About $0.11 per ounce i believe.
Step-by-step explanation:
just divide the price by 100.
please answer, will be greatful!
Answer: 160cm^3
Step-by-step explanation:
cuboid volume l*w*h
so im guessing square base l=w so 4x4=16 and height 10x16=160
Answer:
160[tex]cm^{3}[/tex]
Step-by-step explanation:
Length a : 4
width b :4
height c :10
What is m
Enter your answer in the box
Answer:
m = 2
Step-by-step explanation:
∠ GLI = 90°
∠ GLH + ∠ HLI = ∠ GLI , that is
9m + 25m + 22 = 90
34m + 22 = 90 ( subtract 22 from both sides )
34m = 68 ( divide both sides by 34 )
m = 2
Then
∠ HLG = 9m = 9 × 2 = 18°
Find the value of y
y
+
59
Find the area of the polygon
Answer:
[tex] 687.5 \: {ft}^{2} [/tex]
Step-by-step explanation:
Area of polygon = Area of square + Area of triangle
[tex] = {25}^{2} + \frac{1}{2} \times 25 \times (30 - 25) \\ \\ = 625 +\frac{1}{2} \times 25 \times5 \\ \\ = 625 + \frac{1}{2} \times 125 \\ \\ = 625 + 62.5 \\ \\ = 687.5 \: {ft}^{2} [/tex]
Find the exact value pf cos 2x if sin x = - 4/5 (Quadrant III)
Answer:
[tex]\displaystyle \cos(2x)=-\frac{7}{25}[/tex]
Step-by-step explanation:
We want to find:
[tex]\displaystyle \cos(2x)\text{ given that }\sin(x)=-\frac{4}{5}[/tex]
And x is in QIII.
Recall that sine is the ratio of the opposite side to the hypotenuse.
Therefore, the adjacent side is (we can ignore the negative for now).
[tex]a=\sqrt{5^2-4^2}=\sqrt{25-16}=\sqrt{9}=3[/tex]
So, the adjacent side is 3, the opposite side is 4, and the hypotenuse is 5.
Using the double angle identity, we can rewrite:
[tex]\cos(2x)=\cos^2(x)-\sin^2(x)[/tex]
Since x is in QIII, cosine is positive, sine is negative, and tangent is negative.
Using the above values, we can conclude that:
[tex]\displaystyle \cos(x)=\frac{3}{5}\text{ and } \sin(x)=-\frac{4}{5}[/tex]
Substitute:
[tex]\displaystyle \cos(2x)=\Big(\frac{3}{5}\Big)^2-\Big(-\frac{4}{5}\Big)^2[/tex]
Evaluate:
[tex]\displaystyle \cos(2x)=\frac{9}{25}-\frac{16}{25}=-\frac{7}{25}[/tex]
Area of composite. A. 157.21. B. 304. C. 506.42
Answer:
A. 157.21. is the answer
Step-by-step explanation:
I hope this helps
Consider the equation x^2-x-20=0
NEED HELP ASAP!!! Will mark brainlyist
Answer:
x=−4 or x=5 This is the awnser to x^2-20=0
Can anyone please give me an example of a polynomial with nine roots?
Answer:
Step-by-step explanation:
x^9 + 3x^8 +2x^7 +4=0
Hey,I'm not sure enough...i guess if the highest power is 9 then we get 9 roots..sorryvif I'm wrong:')
25^-1.5 ?????????? Help
Answer:
25^-1.5=0.008
Step-by-step explanation:
Meghan made $458 in her last paycheck if she would like to save at least $175 of it, how much can she spend
Answer:
283
Step-by-step explanation:
458-175=283
and you have your answer.
Joanna, Mary, Betty, and Leah ran a race. Joanna's time was 13.03 seconds, Mary's was 13.284 seconds,
Betty's was 13.62 seconds, and Leah's was 13.9 seconds. In what order did they finish? Who won
Answer:
1st-joanna
2nd-Mary
3rd-Betty
4th-leah
Step-by-step explanation:
joanna won the race
Answer:
Joanna won followed by Leah ,then Betty and lastly Marry
PLEASE PLEASE HELP. I will make you brainlest.
Answer: 15 √ 2
Step-by-step explanation:
Equilateral triangles have three equal side lengths, three equal angles of 60 degrees, and three equal altitudes.
You would think that the height of an equilateral triangle would also be equal to it's sides, but it's not. The formula for height is: side/2 x √3
10√6 / 2 * √ 3 = 15 √ 2
The decimal form: 21.2
2x - 3 > -4x + 6 whats the answer to this
Answer:
x > 3/2
Step-by-step explanation:
2x - 3 > -4x + 6
Add 4x to each side
2x+4x - 3 > -4x+4x + 6
6x-3 > 6
Add 3 to each side
6x-3+3>6+3
6x>9
Divide each side by 6
6x/6 >9/6
x > 3/2
A cheeseburger and fries are $14.95 with a discount of 15%. What is the amount of discount and the sales price?
Answer:
12.7075
Step-by-step explanation:
Answer:
I would go on quizlet and find the answer
Step-by-step explanation:
PLEASE HURRY IM ALREADY HAVING AN AWFUL DAY :)
WILL. GIVE BRAINLIEST
Answer:
3 4 1
Step-by-step explanation:
Three spheres with a diameter of 6 cm just fit inside a
cylinder with the same diameter.
Calculate the volume of the cylinder that is left empty.
Use 3.14 for Pi.
Answer:
Step-by-step explanation:
A marshmallow bag cost $1.50 how much would 4 bags cost
Answer:
$6
Step-by-step explanation:
1.50 * 4
6
Hope it is useful
Answer:
6 dollars
Step-by-step explanation:
$1.50 * 4
How can we make a quadratic function one-to-one? Write the process down below.
Answer: Quadratic Function: A function with the highest power of variable as 2.
Vertex: The lowest or highest point on the graph of a quadratic function.
Two Types of Problems: Finding quadratic function (a) given the vertex and another point; and (b) given three points.
Step-by-step explanation:
Find the proper answer
(Geometry)
If you were in a hot air balloon 500 m over Lady Bird Lake, at what angle of depression would you look at a point on the ground 800 m
horizontally from the balloon?
ROUND TO THE NEAREST WHOLE DEGREE
Answer:
Set up trig ratio using tangent.
Tan theta = opp/adj
Tan theta = 500/800
Tan^-1 (500/800) = 32 degrees
Please help, it would really make my day! I’ll give branliest if it’s correct! :-)
Evaluate 4a when a=7
The value is:
Answer:
28
Step-by-step explanation:
