Answer:
The answer is below
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, isosceles triangle, right angled triangle.
Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion.
AA similarity theorem states that two corresponding angles of two triangles are congruent then the two triangles are similar.
We can see that from triangle EFG and triangle GHJ that:
∠JHG = ∠GFE (given)
Also, ∠EGF = ∠JGH (vertical opposite angles are equal).
Since two angles of triangle EFG and two angles of triangle GHJ are equal, then the two triangles are said to be similar by AA similarity theorem.
Two angles of triangle EFG and two angles of triangle GHJ are equal, then the two triangles are said to be similar by AA similarity theorem.
Here, we have,
A triangle is a polygon with three sides and three angles.
The types of triangles are scalene triangle, equilateral triangle, isosceles triangle, right angled triangle.
Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion.
AA similarity theorem states that two corresponding angles of two triangles are congruent then the two triangles are similar.
We can see that from triangle EFG and triangle GHJ that:
∠JHG = ∠GFE (given)
Also, ∠EGF = ∠JGH (vertical opposite angles are equal).
Since two angles of triangle EFG and two angles of triangle GHJ are equal, then the two triangles are said to be similar by AA similarity theorem.
To learn more on triangle click:
brainly.com/question/29126067
#SPJ6
find the surface area of a cube having edge 1 units
Answer:
surface area = 6a^2 = 6
hence are = 6 unit.sq
Solve 1/3b + 57 = 3
What is the constant on the
variable side? What is its
inverse? Do to both sides.
What is the coefficient?
Divide on both sides.
Answer: b=-18
Step-by-step explanation:
1/3b+57=3
Subtract 57
1/3b=-54
Divide by 1/3 (basically you’re dividing by 3)
p=-18
Hurry!! Worth 10 points
Answer:
C, i think this is correct!
pls help and fast i need it done soon
Answer:
53
Step-by-step explanation:
I hope this helps. I hope its right.
What do the following two equations represent?
y - 2 = x + 20
y - 2 = -(x+20)
Answer: Perpendicular lines
Step-by-step explanation:
The first equation (y - 2 = x + 20) represents a line with a positive slope and a y-intercept of 22, while the second equation (y - 2 = -(x + 20)) represents a line with a negative slope and a y-intercept of -18.
The two equations, y - 2 = x + 20 and y - 2 = -(x + 20), represent linear equations in standard form. Let's break down each equation:
y - 2 = x + 20
This equation represents a linear relationship between x and y. It states that the value of y minus 2 is equal to the value of x plus 20. This equation can be rearranged to slope-intercept form (y = mx + b) by isolating y:
y = x + 20 + 2
y = x + 22
The equation y = x + 22 represents a line with a slope of 1 and a y-intercept of 22.
y - 2 = -(x + 20)
Similarly, this equation represents a linear relationship between x and y. It states that the value of y minus 2 is equal to the negative of the value of x plus 20. This equation can also be rearranged to slope-intercept form by isolating y:
y = -(x + 20) + 2
y = -x - 20 + 2
y = -x - 18
The equation y = -x - 18 represents a line with a slope of -1 and a y-intercept of -18.
In summary, the first equation (y - 2 = x + 20) represents a line with a positive slope and a y-intercept of 22, while the second equation (y - 2 = -(x + 20)) represents a line with a negative slope and a y-intercept of -18.
To know more about positive slope click here :
https://brainly.com/question/30754472
#SPJ2
k+a=500
3k+10a=3,600
find k and a using elimination plss helppp
Answer:
a=300 and k=200
Step-by-step explanation:
Multiply the first equation by -10,and multiply the second equation by 1.
−10(a+k=500)
1(10a+3k=3600)
Becomes:
−10a−10k=−5000
10a+3k=3600
Add these equations to eliminate a:
−7k=−1400
Then solve−7k=−1400for k:
−7k=−1400 (Divide both sides by -7)
[tex]\frac{-7k}{-7} =\frac{-1400}{-7}[/tex]
Now that we've found k let's plug it back in to solve for a.
Write down an original equation:
a+k=500
Substitute200forkina+k=500:
a+200=500
a+200+−200=500+−200(Add -200 to both sides)
a=300
Hope this helps :)
Help please!! It’s kinda easy so help!!
Answer:
See below
Step-by-step explanation:
You could leave 47:3 as the improper fraction [tex]\frac{47}{3}[/tex] or the mixed number [tex]15 \frac{2}{3}[/tex].
Answer:
Fraction: [tex]\frac{47}{3}[/tex] . Mixed fraction: [tex]15\frac{2}{3}[/tex].
Step-by-step explanation:
Ratio = Numerator : Denominator
Using the above information, the ratio 47:3 will be [tex]\frac{47}{3}[/tex] when written as a fraction.
The mixed fraction will be [tex]15\frac{2}{3}[/tex].
Hope this helps!
PLS HELP ASAP PLS PLS PLS
Answer:
i think is D
i hope it’s help you but if not DO NOT FORGET STAY SAFE AT HOME
-3w+27=6 pls help me im having trouble with this also 13 points
Answer:
w = 7
Step-by-step explanation:
Step-by-step explanation:
—3w +27=6
—3w=6—27
—3w=—21
w=7
What number is 75% of 300?
A. 36
B. 22.5
C. 2250
D. 225
225
What is 75 percent of 300.? = 225.
How do I do this? I’m not really sure.
Answer:
Step-by-step explanation:
f(x) + g(x) = 3x^2 + 2x - 1 + x^2 - 3x + 1
f(x) + g(x) = 4x^2 - x
==================================
f(x) - g(x) = 3x^2 + 2x - 1 - x^2 + 3x - 1
f(x) - g(x) = 2x^2 + 5x - 2
Given that x satisfies the inequality 20x > 33,
find the smallest value of x if x is a prime
number.
Answer:
2
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Answer:
20x > 33 = 2
Step-by-step explanation:
divide 20x by 20 do the same with 33
20x/20 > 33/20
x > 1.65
1 isnt a prime number and the closest prime number to 1.65 is 2
the answer is x > 2
Hey Guys, I was wondering if you could help What are the constants in this expression: 6x-8+4y+5 out of these choices: 6, 4 6x, -8, 4y, 5 8, 5 6, -8, 4, 5 -8, 5
Given:
The expression is
[tex]6x-8+4y+5[/tex]
To find:
The constants in the given expression.
Solution:
Terms can be a number, variable and product of both. these are separated by "+" sign.
Variables terms: These terms contains at least one variable.
Constant terms: These terms are free from the variables. it means there are no variable.
We have,
[tex]6x-8+4y+5[/tex]
In this expression, the terms are 6x, -8, 4y, 5, variable terms are 6x, 4y and constant terms are -8, 5.
Therefore, the last option is correct, i.e., -8, 5.
a linear equation in one variable (the variable x) that can be transformed into an equivalent equation in which these forms has no solution? select one that applies
a. x=0
b. 0=0
c. 0=1
i dont know how to do thiss can someone help
Step-by-step explanation:
REO=RBO=67
BOR=ERO=91
REB=REO-BE0=67-32=35
RYE=180-ERO-REB=180-91-35=54
36 = 4x
Please help I’m behind in my class and could use help
Answer:
x=9
Step-by-step explanation:
Divide by 4 on both sides in order to isolate x and get the answer.
If 26 articles cost $214.50, how much does 1 article cost?
Answer:
8.25 per one article
Step-by-step explanation:
Answer:
8.25
Step-by-step explanation:
i hope this helps
The forth term of an A. P. is 37 and the 6th term is 12 more than the forth term. Find the first term and the seventh terms.
Answer:
First term is 19
7th term =a+6d=127 is answer
Step-by-step explanation:
I hope it's helpful!
Factor the expression below.4x2 - 1
O A. (x - 1)(4x - 1)
O B. (x - 1)(4x + 1)
O C. (2x - 1)(2x + 1)
O D. (2x - 1)(2x - 1)
Answer:
C. (2x – 1)(2x + 1)
Step-by-step explanation:
4x² – 1 = (2x)(2x) – 1 = (2x – 1)(2x + 1)
A group of 5 teachers bought 3 pens and 1 eraser each. Their total cost for all the materials was $12.89. If the eraser was $0.97, how much was each pen?
Variable:________________
Equation:________________
Solution:________________
Answer:
$0.536Step-by-step explanation:
Variable:
p for penEquation:
5(3p + 0.97) = 12.89Solution:
5(3p + 0.97) = 12.8915p + 4.85 = 12.8915p = 12.89 - 4.8515p = 8.04p = 8.04 / 15p = 0.536please help me on this will give you brainliest
A system of equations is shown below.
2x + 3y = 12
x = -2y + 10
What is the solution to this system?
Step-by-step explanation:
[tex]2x + 3y = 12 \\ x = - 2y + 10 \\ 2( - 2y + 10) + 3y = 12 \\ - 4y + 20 + 3y = 12 \\ - y = - 8 \\ y = 8 \\ x = - 2y + 10 \\ x = - 2 \times 8 + 10 = - 6 \\ [/tex]
(-6 , 8)
What could be a common denominator for 1 1/2 and 3/4
Answer:
1 1/2 =36/24. And 3/4 is already a common denominator
Step-by-step explanation:
Can a triangle with side lengths of 15, 13, and 6 can be classified as a right triangle? ? and why?
Answer:
The triangle cannot be classified as right angled triangle.
Step-by-step explanation:
Given measurements are;
15, 13 and 6.
In right angle triangle, the sum of square of lengths of smaller sides is equal to square length of larger side.
Therefore,
[tex](6)^2 + (13)^2 = (15)^2\\36 + 169 = 225\\205 \neq 225[/tex]
Hence,
The triangle cannot be classified as right angled triangle.
Convert this equation into the slope intercept form
4x - y = -5
Answer:
y = 4x + 5
Step-by-step explanation:
4x - y = -5
-4x -4x
-y = -4x -5
/-1 /-1 /-1
y = 4x + 5
Answer:
Y = -4x + 5
Step-by-step explanation:
-4x from both sides
-y = -4x -5
divide both side by -1
y = -4x + 5
brainliest?
What is the solution of the system.. explain what it means in the solution
Answer:
The solution is (4,250)
Step-by-step explanation:
This means that when a member of either gym (A or B) signs up for a four-month membership, they pay the same amount - $250. Hope this helps :)
answers for the 2 boxes please :)
Answer:
x=-11 y=-4
Step-by-step explanation:
4x−6y=−20;−2x+4y=6
once you have this, try and find any number. i find trial and error easy if you can find the answer
yy-intercept is (0,6)(0,6)left parenthesis, 0, comma, 6, right parenthesis and slope is 333.
Answer:
y=333x+6
Step-by-step explanation:
y=mx+b
change m to the slope
and b to the y cept'
Which graph shows a line with an x-intercept of (-5, 0)?
Answer:
graph?
Step-by-step explanation:
Answer: you forgot to show the answer choices but
When you have a linear equation, the x-intercept is the point where the graph of the line crosses the x-axis.
Hope this helps :)
Jorge is making a scale model of a dog house that will be 1/8 the size of the actual dog house. The actual dog house is 40 inches high. What will be the height of the scale model of the dog house?
Whoever answers this under 5 mins will get brainiest!!!!
Answer:
5 inches high
Step-by-step explanation: