Answer:
7-2=5 then 5 times 5 is 25 25 is the answer
Step-by-step explanation:
Consider the length of diagonal is 8.5 cm instead of 8.5 m because length of perpendiculars are in cm.
Given:
Length of the diagonal of a quadrilateral = 8.5 cm
Lengths of the perpendiculars dropped on it from the remaining opposite vertices are 3.5 cm and 4.5 cm.
To find:
The area of the quadrilateral.
Solution:
Diagonal divides the quadrilateral in 2 triangles. If diagonal is the base of both triangles then the lengths of the perpendiculars dropped on it from the remaining opposite vertices are heights of those triangles.
According to the question,
Triangle 1 : Base = 8.5 cm and Height = 3.5 cm
Triangle 2 : Base = 8.5 cm and Height = 4.5 cm
Area of a triangle is

Using this formula, we get


and


Now, area of the quadrilateral is



Therefore, the area of the quadrilateral is 34 cm².
Slope denoted as m can be calculated from 2 diff. points using the formula:
(y2 - y1) / (x2 - x1) = 1 - 12 / 25 - 0 = -11 / 25
Slope-intercept form is y = mx + b. Using a point,
12 = -11/25(0) + b
12 = b
y-intercept is 12.
To summarize, slope is -11/25, negative because decreasing trend and y-intercept is 12.
Answer:
C.
, 9:14 , or 9 to 14
Step-by-step explanation:
With there being 9 teachers and 5 aides, the total number of adults is 14, leaving a fraction of
, 9 teachers and 14 adults. Checking to simplify, there are no shared values by 9 and 14, so it is in it's simplest form.