We are given an isosceles triangle.
An isosceles triangle has corresponding angles of corresponding sides same.
<em>Therefore, other angle is also of (3x+7) degrees.</em>
(5x+13) and (3x+7) makes a linear pair.
Therefore,
(5x+13) + (3x+7) = 180
5x +13 + 3x +7 = 180.
8x +20 = 180.
Subtracting 20 from both sides, we get
8x +20-20 = 180-20.
8x = 160
Dividing both sides by 8, we get
<h3>x = 20.</h3><h3>Therefore, correct option is 3rd option. </h3>
Answer:
x=8 and y=2
Step-by-step explanation:
Answer: (x+1)(x+2)
step by step explanation:
<u>Answer-</u>
The equation is 
and Julianne will begin making a profit after 168 days.
<u>Solution-</u>
Julianne's start-up cost = $52,000,
Each day, she spends = $650,
and she earns = $960 per day,
If 'd' is the number of days to overcome the start-up and daily operation cost, then
total operation cost of d days = $650d and
total student lesson fees earned in d days = $960d
∴ The equation to represent the situation is,
∴ Julianne will begin making a profit,
Step-by-step explanation:
the angle ABC = 180 - x, as ABD and ABC are complementary angles on top of the bottom line : all angles around a point on one side of a line are always adding up to 180 degrees.
but because we also know that the sum of all angles in a triangle is 180 degrees too, we can say
180 = ACB + ABC + CAB
180 = y + 180 - x + CAB
0 = y - x + CAB
x = y + CAB
x - y = CAB
therefore, the second answer option is correct.
