<span>2.5 – 1.2x < 6.5 – 3.2x
-1.2x + 3.2x < 6.5 - 2.5
3.2x - 1.2x < 4
2x < 4
x < 4/2
x < 2</span>
The value of
is 
Explanation:
The function
is given by

The function
is given by

To determine the value of
, let us first substitute the value of
.
Thus, we get,

Now, substituting for
in the function
, we get,

Simplifying, the expression, we get,

Multiplying the term within the bracket, we have,

Thus, the value of
is 
Hence, the value of
represents the total amount of money that Barrett earns for working x hours.
Answer:
a) x = 30°
b) mRS = x = 30°
mST = 4x = 4(30°) = 120°
mTU = 4x = 4(30°) = 120°
mUR = 3x = 3(30°) = 90°
Question:
The complete question as found on Chegg website:
In the diagram below, secants PT and PU have been drawn from exterior point P such that the four arcs
intercepted have the following ratio of measurements:
mRS : mST :MTU : mUR=1:4:4:3
(a) If mRS = x, then write an equation that could be used to solve for x
and find the value of x.
(b) State the measure of each of the four arcs.
mRS =
mST =
MTU
MUR =
Step-by-step explanation:
Find attached the diagram related to the question
mRS : mST : mTU : mUR = 1:4:4:3
Since mRS = x
Writing the ratios of the measure of angle in terms of mRS:
mST = 4× mRS = 4×x = 4x
mTU = 4× mRS = 4×x = 4x
mUR= 3× mRS = 3×x = 3x
The sum of measure the 4 measures of arc = 360° (sum of angle in a circle)
mRS + mST + mTU + mUR = 360°
x + 4x + 4x + 3x = 360
12x = 360
x = 360/12
x = 30°
b) The measure of angle
mRS = x = 30°
mST = 4x = 4(30°) = 120°
mTU = 4x = 4(30°) = 120°
mUR = 3x = 3(30°) = 90°
Answer:
GPA stands for grade point average. the highest you can get is 4.5. There is no such things as a 95 GPA. To calculate, take the number or point per grade you have, A is 4.0, B is 3.0, C is 2.0, and so on, and add them all up and then divide by the number of classes you are taking.
Step-by-step explanation:
Answer: 1. 1,0 2. -1,9 3.-20
Step-by-step explanation: