Answer:
Yes.
Step-by-step explanation:
Yes. Because opposite angles are congruent.
Answer:
The smaller number is 4
Step-by-step explanation:
Larger number = x
Smaller number = y
Write 2 equations
y + 6 = x
2x = 5y
Substitute x in the first equation to the second equation
2(y + 6) = 5y
Multiply 2(y + 6)
2y + 12 = 5y
Subtract 2y from both sides of the equation
12 = 3y
Divide both sides of the equation by 3
y = 4
x = y + 6 = 4 + 6 = 10
The smaller number is 4
Hope this helps :)
[ Answer ]
[ Explanation ]
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LCM - The smallest number that two or more numbers can evenly fit into
- LCM - What We Know
- 2 & 13 Must Evenly Fit
- Must Be Smallest Number They Both Fit Into
- Multiple Of Two Or More Numbers
The Smallest Number That Both 2 & 13 Evenly Fit Into Is 26
26 ÷ 2 = 13
26 ÷ 13 = 2
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Z = 3 (This equation is a given)
z(y) = 12 ( This equation is also given)
3y = 12 (as z = 3, plug 3 into z)
3y/3 = 12/3 (isolate the y by dividing 3 to both sides)
* you divide 3 to both sides because of the equal sign. What you do to one side you do to the other
y = 4 (answer for y)
y + 5 (what you are solving for)
(4) + 5 = 9 (As y = 4, plug in 4 for y in this equation)
y + 5 = 9 (4 + 5 = 9, or addition property)
9 is your answer
hope this helps
Find the missing angles using either the triangle sum theorem (a2+b2=c2) or inverse trigonometric ratios
