The value of the variable x is 3/4
<h3>What are congruent segments</h3>
Congruent segment are segments with equal or congruent lengths.
From the information given, we have that line AB is approximately equal to line BC. This is represented as;
AB = BC
Where;
Now, let's equate the expressions
4x + 7 = 20x - 5
collect like terms
4x - 20x = - 5 - 7
- 16x = - 12
Make 'x' the subject of formula
x = -12/-16
x = 3/4
Thus, the value of the variable x is 3/4
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Answer:
a. We can say that P > C, where 'P' represents Peter's earnings and 'C' represents Cindy's earnings.
Given that P = 3h and C = 2h, where h =$4.50. We can say also that 3h > 2h.
b. If Cindy wants to earn at least $14 a day working two hours. Then:
2h ≥ $14
To solve the problem, we just need to solve for 'h':
h ≥ $7
Therefore, se should earn more or equal to $14 per hour.
The midpoint of the line segment joining points S (8,3) and T (2,-1) is (5, 1)
<h3>How to determine the midpoint of the line segment joining the points?</h3>
The points are given as:
S(8,3) and T(2,-1)
The midpoint of the line segment joining points S(8,3) and T(2,-1) is calculated as:
Midpoint = 0.5 * (x1 + x2, y1 + y2)
So, we have
Midpoint = 0.5 * (8 + 2, 3 - 1)
Evaluate the sum
Midpoint = 0.5 * (10, 2)
Evaluate the product
Midpoint = (5, 1)
Hence, the midpoint of the line segment joining points S (8,3) and T (2,-1) is (5, 1)
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<span><span>f<span>(g<span>(x)</span>)</span></span><span>f<span>(g<span>(x)</span>)</span></span></span>Evaluate <span><span>f<span>(g<span>(x)</span>)</span></span><span>f<span>(g<span>(x)</span>)</span></span></span> by substituting in the value of <span>gg</span> into <span>ff</span>.<span><span>3<span>(x+2)</span>−4</span><span>3<span>(x+2)</span>-4</span></span>Simplify each term.Tap for more steps...<span><span>f<span>(x+2)</span>=3x+6−4</span><span>f<span>(x+2)</span>=3x+6-4</span></span>Subtract <span>44</span> from <span>66</span> to get <span>22</span>.<span>f<span>(x+2)</span>=3x+<span>2</span></span>
