<span>a continuous area or expanse that is free, available, or unoccupied.<span /><span />
the dimensions of height, depth, and width within which all things exist and move.
</span><span>position (two or more items) at a distance from one another.</span>
Answer:
Step-by-step explanation:
In similar triangles, corresponding sides are in same ratio
Cross multiply,
7*(x + 8) = 6*(3x -9 )
7x + 7*8 = 6*3x - 6*9
7x + 56 = 18x - 54
56 = 18x - 7x -54
56 = 11x - 54
11x - 54 = 56
11x = 56 +54
11x = 110
x = 110 /11
x = 10
PR = 3x -9
= 30 - 9
PR = 21
Answer:
step #1: Set Realistic and Achievable Goals
Step-by-step explanation:
Answer:
The cost of one taco is $0.87 and the cost of one enchilada is $1.16
Step-by-step explanation:
Let the cost of tacos be X
and cost of enchiladas be y
So, by using given data, we have following equations
3X + 2Y = 4.93 (1)
2X + 4Y = 6.38 (2)
So, first multiply 1st equation by 2 and 2nd equation by 3, then subtracting 1st equation by 2nd.
= 2 × ( 3X + 2Y = 4.93) (1)
= 3 × (2X + 4Y = 6.38) (2)
= - (6X + 4Y = 9.86) (1)
= 6X + 12y = 19.14 (2)
= 8Y = 9.28
Y = 9.28 ÷ 8 = 1.16
By putting the value of Y in equation 1, we get
3X + 2(1.16) = 4.93
3X + 2.32 = 4.93
X = 2.61 ÷ 3 = 0.87
Hence, the cost of one taco is $0.87 and the cost of one enchilada is $1.16.
On the bottom line, the 106 and number 1 make a straight line and needs to equal 180 degrees.
This means number 1 = 180-106 = 74 degrees.
Because x and y are parallel, the top outside angle is the same as number 1.
6x +8 = 74
Subtract 8 from both sides:
6x = 66
divide both sides by 6:
x = 66 / 6
x = 11
Now you have x, replace x in the equation for 7x-2 to find that angle:
7(11) -2 = 77-2 = 75 degrees.
The three inside angles need to equal 180 degrees.
Angle 2 = 180 - 74 - 75 = 31 degrees.
