Consider the graph of f(x) given below.
1 answer:
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Options
A. UV = 14 ft and m∠TUV = 45°
B. TU = 26 ft
C. m∠STU = 37° and m∠VTU = 37°
D. ST = 20 ft, UV = 14 ft, and m∠UST = 98°
E. m∠UST = 98° and m ∠TUV = 45°
Answer:
A. UV = 14 ft and m∠TUV = 45°
D. ST = 20 ft, UV = 14 ft, and m∠UST = 98°
Step-by-step explanation:
Given
See attachment for triangle
Required
What proves that: ΔSTU ≅ ΔVTU using SAS
To prove their similarity, we must check the corresponding sides and angles of both triangles
First:
must equal
So:
Next:
UV must equal US.
So:
Also:
ST must equal VT
So:
Lastly
must equal
So:
Hence: Options A and D are correct
Answer:
Is an estimate of the average grams of salt used in 2012
Step-by-step explanation:
Let
x ---> the number of years since 2012
f(x) ---> is the total amount of salt ingested in grams
we have
This is a linear equation in slope intercept form
where
The slope is equal to
The y-intercept or initial value is equal to
The y-intercept is the value of the function f(x) when the value of x is equal to zero
In this context, the y-intercept is the average amount of grams of salt ingested in the year 2012
The exact value of the average amount of grams of salt ingested in the year 2012 is 3,554 grams (see the data in the table)
Compare the exact value with the y-intercept
therefore
3,548 grams Is an estimate of the average grams of salt used in 2012