Answer:
b) Substitute (3x - 5) for y in the second equation.
Step-by-step explanation:
If using the substitution method, then the second choice is the most efficient first step.
<u>What is the substitution method?</u>
The substitution method can be used to solve a system of equations. It is when you isolate any of the variables from one of the equations and then substitute that value into the other equation.
Here, the first equation already has an isolated variable, y. We can then substitute its value into the second equation. Like so:
⇒ 2x + 6y = 20
⇒ 2x + 6(3x - 5) = 20
Learn more about the substitution method here:
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Total = Principal * (1 + rate)^years
Total = 25,000 * (1.11)^16
Total =
25,000 * <span>
<span>
<span>
5.3108943321
</span>
</span></span>Total =
<span><span><span>132,772.36
</span>
</span>
</span>
<span>
</span>
(This is the second answer)
Answer: 14. x = 16; y = 23
15. x = 9; y = 13
Step-by-step explanation:
14. (4x + 4) = (7x - 44) (alternate exterior angles are congruent)
4x + 4 = 7x - 44
Collect like terms
4x - 7x = -4 - 44
-3x = -48
Divide both sides by -3
x = -48/-3
x = 16
39° + (8y - 43)° = 180° (consecutive exterior angles are supplementary)
39 + 8y - 43 = 180
Add like terms
-4 + 8y = 180
Add 4 to both sides
8y = 180 + 4
8y = 184
Divide both sides by 8
y = 184/8
y = 23
15. (15x - 26)° = (12x + 1)° (alternate exterior angles are congruent)
15x - 26 = 12x + 1
Collect like terms
15x - 12x = 26 + 1
3x = 27
Divide both sides by 3
x = 27/3
x = 9
28° + (12x + 1)° + (4y - 9)° = 180° (sum of interior angles of ∆)
Plug in the value of x
28 + 12(9) + 1 + 4y - 9 = 180
28 + 108 + 1 + 4y - 9 = 180
Add like terms
128 + 4y = 180
Subtract 128 from each side of the equation
4y = 180 - 128
4y = 52
Divide both sides by 4
y = 52/4
y = 13
Both answer and explantion.
The statement, m∠4 = m∠5, then then r||s is true based on the converse of corresponding angles theorem.
<h3>What is the Converse of Corresponding Angles Theorem?</h3>
Based on the converse of corresponding angles theorem, if two corresponding angles, angles 4 and 5 are congruent or equal to each other, then the lines on which they lie on, lines r and s are congruent.
Therefore, based on the converse of corresponding angles theorem, m∠4 = m∠5, then then r||s.
Learn more about the converse of corresponding angles theorem on:
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#SPJ1
Answer:
0.5625
Step-by-step explanation:
3/4 as a decimal is 0.75
0.75×0.75=0.5625
