Answer:
<em>x = 9</em>
<em>y = 36</em>
Step-by-step explanation:
<u>Lines and Angles</u>
Triangle CDE is isosceles. This means the two angles of the base DE are congruent (have the same measure):
7x + 1 = 4x + 28
Subtracting 4x + 1:
3x = 27
Dividing by 3:
x = 9
Substituting in the expression for the angles:
7x + 1 = 7*9 + 1 = 64°
The angles are 64° and 64°. The other internal angle at vertex C is 180°-64°-64°=52°. This angle is congruent with its vertical angle in the triangle ABC. We are given another angle of 43°. Thus the measure of angle A is 180°-52°-43°=85°
This last angle is equal to the expression of y:
-2(3 - y) + 19 = 85
Subtracting 19:
-2(3 - y) = 66
Removing the parentheses:
-6 + 2y = 66
Adding 6:
2y = 72
Dividing by 2:
y = 36
Final answer:
x = 9
y = 36
Answer:
The answer to your question is: midsegment = 35 units
Step-by-step explanation:
Use the Thales' theorem

43( 3x + 55) = 86( 6x + 5)
129x + 2365 = 516x + 430
129x - 516x = 430 - 2365
-387x = -1935
x = -1935 / -387
x = 5
Midpoint length = 6(5) + 5
= 30 + 5
= 35 units
He should get back 44.68 not including any tax
To tell isf a table is proportional, divide y by x,
if all sets are the same it is proportional.
First table:
3 / -3 = -1
2 / -4 = -2
-1 and -2 are not the same
Table 2:
1/-1 = -1
3/-3 = -1
5/-5 = -1
These are all the same.
Table 2 is correct.