Answer:
D
Step-by-step explanation:
∠ABC= ∠DBE (vert. opp. ∠s)
(6x -7)°= (4x +23)°
6x -7= 4x +23
<em>Being</em><em> </em><em>x</em><em> </em><em>terms</em><em> </em><em>to</em><em> </em><em>1</em><em> </em><em>side</em><em>,</em><em> </em><em>constant</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>other</em><em>:</em>
6x -4x= 23 +7
<em>Simplify</em><em>:</em>
2x= 30
<em>Divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>2</em><em>:</em>
x= 15
<em>Substituting</em><em> </em><em>the</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>x</em><em>:</em>
m∠ABC
= 6(15) -7
= 83
Steps to solve:
0.3x = 15
~Divide 0.3 to both sides
0.3x/0.3 = 15/0.3
~Simplify
x = 50
This is a vertical line so the slope is undefined.
The line passes through the point (50, 0) and there is no y-intercept since its a straight vertical line.
Best of Luck!
Answer:
3 years 8 month
Step-by-step explanation:
Given 7 years 6 months - 3 years 10 months
Step 1: Firstly we should subtract months from months then after from year to year.
Step 2: 6 months is less than 10 months so we have to borrow 1 year and add it to the months.
Step 3: Adding 1 year to 6 months we get 18 months.
Step 4: Now we have to subtract 3 years 10 months from 6 years 18 months.

Step 5: After subtracting we get 3 years 8 months.
Thus the answer is 3 years 8 months.
The direct variation between x and y may be written as,
y = kx
where k is the constant of variation. From the first set of values of the variables,
12 = k(8)
the value of k is 1.5. Substituting the next set to the same equation,
y = 1.5(14)
The value of y is 21.
The answer is 100 degrees Celsius.