*the figure is shown in the attachment
Answer/Step-by-step explanation:
Since <XYZ and <YZX are said to be congruent, therefore, the side opposite to each of the angle are also equal. Therefore, ∆XYZ is an isosceles ∆.
Find the value of n by creating an equation to solve for n:
XY = (9n + 12) ft
XZ = (15n - 6) ft
XY = XZ (2 equal lengths of isosceles ∆)
9n + 12 = 15n - 6 (substitution)
Combine like terms
9n - 15n = - 12 - 6
-6n = -18
Divide both sides by -6
-6n/-6 = -18/-6
n = 3
Find the length of leg XY by substituting n = 3 into XY = (9n + 12) ft.
XY = (9(3) + 12) ft
XY = (27 + 12) ft
XY = 39 ft
Find the length of leg XZ by substituting n = 3 into XZ = (15n - 6) ft.
XZ = (15(3) - 6) ft
XZ = (45 - 6) ft
XZ = 39 ft
Suppose you are given the two functions <span>f (x) = 2x + 3</span><span> and </span><span>g(x) = –x2 + 5</span><span>. Composition means that you can plug </span><span>g(x)</span><span> into </span><span>f (x)</span><span>. </span>
The function is computed below based on the information. The answers will be:
1. -11
2. -1
<h3>How to compute the function?</h3>
f(x) = x²-11x+28
g(x) = x-4
(f+g)(-5) = (-5² - 11 × 5 + 28) + (-5 - 4)
= 25 - 55 + 28 - 9
= -11
(f-g)(5)
= = (5² - 11 × 5 + 28) + (5 - 4)
= 25 - 55 + 28 + 1
= -1
Learn more about functions on:
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<span>The process of solving the inequality will be:
-2(5 - 4x) < 6x - 4
8x - 10 < 6x - 4
-6 < -2x
x > 3
This is in accordance to the rule of solving inequalities which states that whenever we multiply or divide by a negative number while solving an inequality, we must reverse the inequality sign.
The last option is correct.</span>
Answer:
i guess use this https://www.calculatorsoup.com/calculators/math/fractions.php
Step-by-step explanation:
