Answer:
2.13
Step-by-step explanation:
because 2.1349 is closer to 2.13 than 2.14 because the number 4 is less than 5 so it's closer to 0
Answer:
y =
x
Step-by-step explanation:
Given that the quantities vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use either of the 2 given points
Using (12, 9), that is x = 12 when y = 9, then
k =
=
= 
y =
x ← equation of variation
Answer:
<h3>10</h3>
Step-by-step explanation:
If point I is on the line segment HJ, then HI+IJ = HJ
Given the parameters
H I = 2 x
H J = 4 x
IJ=4x−10
Substituting the given parameters into the formula;
2x+4x-10 = 4x
6x-10 = 4x
collect like terms
6x-4x = 10
2x = 10
divide both sides b 2;
2x/2 = 10/2
x = 5
Since IJ = 4x-10
Substitute x = 5 into IJ
IJ = 4(5)-10
IJ = 20-10
IJ = 10
Answer: 
Step-by-step explanation:
Based on the description given in the exercise, you can draw the horizontal lines "e" and "f" cut by the vertical lines "a" and "b".
By definition, when a horizontal line and a vertical line intersect each other, the angle formed by this intersection measures 90 degrees.
A "Right angle" is defined as an angle that measures 90 degrees.
Therefore, if a vertical line intersects a horizontal line, you can say that they are perpendicular.
You can observe in the image attached that the vertical lines "a" and "b" cut the horizontal lines "e" and "f". Therefore, since
and
, all the angles formed by this intersections measure 90 degrees.
Therefore, you can conclude that:

20.40 
When this situation is drawn out, it forms a right triangle (as shown in the attached image). The sides that are given are the two legs of the triangle. The side that is missing is the hypotenuse. The missing side can be found using the pythagorean theorem:

A = 20
B= 4
C = ?
This process is shown in the attached image. The length of the missing side (ladder) rounded to the nearest hundredth is 20.40