Answer:
a. x = 5, m∠FGH = 22°
b. m∠HGI = 22°
c. m∠FGI = 44°
Step-by-step explanation:
Since GH bisects FGI this means it divides the angle in two equal parts.
a. solving for x means equating them:
5x-3 = 6x-8 =>
5x - 6x = 3 - 8 =>
x = 5.
Both m∠FGH and m∠HGI are 5*5-3 = 22°
c. Add both angles: m∠FGH + m∠HGI = 44°
This is based on understanding what dilation means in a graph transformation.
<em />
<em>The dilation from first square directly to sixth square will be; (x,y) -> (243, 243)</em>
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- In transformations, dilation of an object involves producing an image of the object that is the same shape but not the same size.
This means that if we want to dilate a square, we will produce a bigger square of a different size.
- We are told one corner of the first square she drew is (2, 2). This means that one side of the square is 2 units as the four sides of a square are equal.
- For the second square, she dilates the first one using (x, y) -> (3x, 3y).
This means the corner that was (2, 2) will now be (3 × 2), (3 × 2) = (6, 6)
- For the third square, it will be; (3 × 6), (3 × 6) = (18, 18)
- For the fourth square, it will be; (3 × 18), (3 × 18) = (54, 54)
- For the fifth square, it will be; (3 × 54), (3 × 54) = (162, 162)
- For the sixth square, it will be; (3 × 162), (3 × 162) = (486, 486)
Since first square was (2, 2), then it means dilation from first square directly to sixth square will be; (x,y) -> (486/2, 486/2)
⇒ (x,y) -> (243, 243)
Read more at; brainly.com/question/2523916
Answer:
Step-by-step explanation:
In order to do this we need to isolate y by performing the inverse operations on the other values like so...
a) 10x + 5y = 20 ... subtract 10x on both sides
5y = 20 - 10x ... divide both sides by 5
y = 4 - 2x ... we can move the 2x to the right to make it into y = mx + b
y = -2x + 4
b) 3x - 2y = 10 + 4x ... subtract 3x on both sides
-2y = 10 + x ... divide both sides by -2
y = -5 - 0.5x ... move -0.5 to the left so it matches y = mx + b
y = -0.5x - 5
First one= x=5
second one= x=1/30 or 0.03 or 30^-1
third one= All real numbers or R
fourth one= No solution
Fifth one= All real numbers or R
Sixth one= p=-10/3 or -3 1/3 or -3.3
R is just the symbol for all real numbers. Also know as infinitely many solutions.
Hope this helps ! :) have a good day! Make sure you eat.
