Answer:
x= 22
y = 35
Step-by-step explanation:
The base angles of a isosceles triangle are equal
3x-11 = 2x+11
Subtract 2x from each side
3x-2x -11 = 2x-2x+11
x-11 = 11
Add 11 to each side
x-11+11 = 11+11
x = 22
The sum of all the angles in a triangle is 180
3x -11 + 2x+11 + 2y = 180
Combine like terms
5x +2y = 180
5*22 + 2y = 180
110 + 2y = 180
Subtract 110 from each side
110+2y-110 = 180-110
2y = 70
Divide by 2
2y/2 =70/2
y = 35
The value of scale k is 3
Step-by-step explanation:
In order to find the scale , we can either divide the coordinates of H' by the original point or compare both the points to find the original ordered pair.
Given
H(3,4)
H'(9,12)
The coordinates of H are multiplied with some integer k to form H'
So,
<u>For x-coordinate:</u>
3k = 9
k = 9/3 = 3
<u>For y-coordinate:</u>
4k = 12
k = 12/4 = 3
Hence,
The value of scale k is 3
Keywords: Coordinate geometry, scaling
Learn more about scaling at:
#LearnwithBrainly
Answer:
−
3
w
2
−
9
w
−
4
Step-by-step explanation:
Subtract 6
w
2 from 3
w
2
−
3
w
2
−
5
w
−
6
-4
w
+
2
Subtract 4
w from −
5
w
.−
3
w
2
−
9
w
−
6
+
2
Add −
6
add
2
.
-3
w
2−
9
w−
4
Answer:
Step-by-step explanation:
Represent the sofa with S and the love seat with L.
So, we have:
--- Total Cost
Required
Determine the value of L
Substitute 2L for S in the first equation.
Divide both sides by 3
<em>Hence, a love seat costs 117.0</em>
<em></em>
<u>Using Graph</u>
See attachment for graph
S is plotted on the y-axis and L is on the x-axis.
The green line represents while the orange line represents
When the line of the graph is traced to the x-axis, we have:
