Answer:
<1 = 109 (Vertically Opposite to <3)
<2 = 71 (Corresponding to <6)
<3 = 109
<4 = 71 (Alternate Interior to <6)
<5 = 109 (Alternate Interior to <3)
<6 = 71
<7 = 109 (Corresponding to <3)
<8 = 71 (Vertically Opposite to <6)
Step-by-step explanation:
<1 = 2x + 29
<2 = x + 31
<3 = 2x + 29
<4 = x + 31
<5 = 2x + 29
<6 = x + 31
<7 = 2x + 29
<8 = x + 31
<1 + <2 = 180
(2x + 29) + (x + 31) = 180
(2x +x) + (29 + 31) = 180
3x + 60 = 180
3x = 180 - 60 = 120
x = 120/3
x = 40
<1 = (2x + 29)
= (2 * 40) + 29
= 80 + 29
= 109
<2 = x + 31
= 40 +31
= 71
The value of x in the linear equation 4(x + 5) = 9x + 4x − 34 is 6 after applying the property.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have linear equation in one variable:
4(x + 5) = 9x + 4x − 34
4x + 20 = 9x + 4x − 34 (Distributive Property)
4x + 20 -4x + 34= 9x + 4x − 34 -4x +34
(Subtraction Property of Equality and Addition Property of Equality)
54 = 9x
x = 6 (Division Property of Equality)
Thus, the value of x in the linear equation 4(x + 5) = 9x + 4x − 34 is 6 after applying the property.
Learn more about the linear equation here:
brainly.com/question/11897796
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Step-by-step explanation:
a) 4x + 8 - 2x + 7
= 2x +15
b) 2n × 5 × 2a
= 10n × 2a
= 20an
A=p(1+r)^t
A=15,000×(1+0.06)^(5)
A=20,073.38