Answer:
The value of x and y are x = 15 and y = 63
Step-by-step explanation:
- If two adjacent angle formed a straight line, then the two angles formed a pair of linear angles
- The sum of the measures of the linear angles is 180°
From the given figure
∵ The angles of measures (9x - 7)° and (4x - 8)° are adjacent angles
∵ The angles of measures (9x - 7)° and (4x - 8)° formed a line
∴ They formed a pair of linear angles
∵ The sum of the measures of the linear angles is 180°
→ That means add them and equate the sum by 180
∴ (9x - 7) + (4x - 8) = 180
→ Add the like terms
∵ (9x + 4x) + (-7 + -8) = 180
∴ 13x + (-15) = 180
→ Remember (+)(-) = (-)
∴ 13x - 15 = 180
→ Add 15 to both sides
∴ 13x - 15 + 15 = 180 + 15
∴ 13x = 195
→ Divide both sides by 13
∵ =
∴ x = 15
∵ Lines m and n are parallels
∵ A line intersected them
∵ The angles of measures (2y + 2), (9x - 7) are interior alternate angles
∵ The interior alternate angles are equal in measures
∴ 2y + 2 = 9x - 7
∵ x = 15
→ Substitute the value of x
∴ 2y + 2 = 9(15) - 7
∴ 2y + 2 = 135 - 7
∴ 2y + 2 = 128
→ Subtract 2 from both sides
∴ 2y + 2 - 2 = 128 - 2
∴ 2y = 126
→ Divide both sides by 2
∴ =
∴ y = 63
Given there are 1 thousand meters in a kilometer, then there will be a water station every .6 kilometers
Dive 15 by .6
There will be 25 water stations
Answer:
108 ft squared.
Step-by-step explanation:
The figure is made up of a triangle and a square.
The area of a triangle is (1/2)*b*h. The height of the triangle is 6 ft and the base is 9 ft, since the triangle shares a side with the square. Since all sides of the square are equal we know that the line that is shared by the triangle and the square must also be 9ft.
Area of the triangle: (1/2)*9*h = 27 Square feet
To find the area of a square you multiply b*h or sides squared
Area of the square: 9*9 = 81 squared feet
<em>Finally, you have to add the two areas together to get the overall area.</em>
<em />
So, 27 Feet Squared + 81 Feet Squared = 108 Feet Squared
Using translation concepts, the graph of is described as follows:
On a coordinate plane, a curved line approaches the grid line at (3, 0.3), and ends at (0, 2).
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Function , in blue in the graph, is the function , in red, reflected over the x-axis and shifted 2 units, as shown in the graph.
Hence the correct statement is:
On a coordinate plane, a curved line approaches the grid line at (3, 0.3), and ends at (0, 2).
More can be learned about translation concepts at brainly.com/question/4521517
#SPJ1
<h3><em>PA//MN</em></h3><h3><em>HOPE IT HELPS....</em></h3>