The value of x is 54 and the measure of angle 8 is 64 degrees
<h3>How to determine the value of x and find the measure of angle 8?</h3>
The given parameters are
Angle 1 = 2x + 10
Angle 8 = x + 10
The figure that completes the question is added as an attachment
From the figure, we have
Angle 1 = Angle 3 ---- vertical angles
Angle 3 + Angle 8 = 180 ---- internal angles within the transversal
Substitute Angle 1 = Angle 3 in the equation Angle 3 + Angle 8 = 180
Angle 1 + Angle 8 = 180
Substitute the known values in the above equation
2x + 8 + x + 10 = 180
Evaluate the like terms
3x = 162
Divide both sides by 3
x = 54
Substitute x = 54 in Angle 8 = x + 10
Angle 8 = 54 + 10
Evaluate
Angle 8 = 64
Hence, the value of x is 54 and the measure of angle 8 is 64 degrees
Read more about angles at:
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Answer:
<em>The answer's below :)</em>
<em>Hope this helps <3</em>
Answer: Y = - 4 & x = 1
Step-by-step explanation:
Systems of linear equations: We will solve this using substitution but you can use 2 more ways.
7x + 2y = -1
2x - 4y = 19
Leave X alone first: -------------------
10x - 2y = 18
10x/10 = 18 + 2y/10
x = 9/5 + y/5
Solve for y:
7(9/5 + y/5) + 2y = -1
63/5 + 7y/5 + 2y - 1
63/5 + 7y/5 = 10y/5 = -1
63/5 + 17y/5 = -1 (-5/5)
17y/5 = -68/5 (cancel the 5)
y = -68/17
y = - 4 (Your Answer)
7x + 2(- 4) = -1
7x + (-8) = -1
7x = 7
x = 1
CHECK=
7(1) + 2(-4) = -1
7+ (-8) = -1.
-1=-1
Answer= 1 million
For an approximation we don't use exact numbers. Seeing as Pennsylvania has a population of around 12.6 million and Ohio has a population near 11.5 million, there is about a difference of 1 million when comparing the populations.
Answer:
Step-by-step explanation:
If Amy started with 28 dollars and bought 7 pens, then had 20.30 dollars, we can subtract to find the price of all 7 pens.
28-20.30=7.70 dollars
now to find the amount for EACH pen, we divide by 7
7.70/7=1.1
each pen costed Amy 1 dollar and 10 cents with tax
