Pretty sure its 48 because 12x8 is 96 (a square) then you divide it by 2 to get the triangles area
Answer:
(x + 5) • (x + 4)
Step-by-step explanation:
Answer:
The specificity of this test is expressed as:________
70%.
Step-by-step explanation:
a) Data and Calculations:
TEST RESULTS Disease Present Disease Absent Total
Positive for Factor X 40 60 100
Negative for Factor X 10 140 150
Total 50 200 250
Negative for X and Disease Absent = 140/200 * 100
= 0.7 * 100
= 70%
b) The specificity refers to the percentage of people who test negative for a specific disease among a group of people who do not have the disease. No test is 100% specific because some people who do not have the disease X will test positive for it (false positive). Therefore, we are testing for the true negative, that the 140 people who tested out of the 200 people who do not have the disease.
<h3>
Answer: x < 9</h3>
Work Shown:
4x - 6 < 30
4x - 6 + 6 < 30 + 6
4x < 36
4x/4 < 36/4
x < 9
Explanation:
The idea is to undo everything happening to x. We follow PEMDAS in reverse. We undo subtraction first by adding 6 to both sides (step 2), then we undo multiplication by dividing both sides by 4 (step 4).
Answer:
part A) The scale factor of the sides (small to large) is 1/2
part B) Te ratio of the areas (small to large) is 1/4
part C) see the explanation
Step-by-step explanation:
Part A) Determine the scale factor of the sides (small to large).
we know that
The dilation is a non rigid transformation that produce similar figures
If two figures are similar, then the ratio of its corresponding sides is proportional
so
Let
z ----> the scale factor
The scale factor is equal to
substitute
simplify
Part B) What is the ratio of the areas (small to large)?
<em>Area of the small triangle</em>
<em>Area of the large triangle</em>
ratio of the areas (small to large)
Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures
In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In similar figures the ratio of its areas is equal to the scale factor squared
