Answer:
see explanation
Step-by-step explanation:
(5)
Since ∠EBA = 90° then ∠ABD = 90° ( straight angle ) and
∠ABC + ∠CBD = ∠ABD, that is
2x + 3x - 10 = 90, simplifying
5x - 10 = 90 ( add 10 to both sides )
5x = 100 ( divide both sides by 5 )
x = 20, thus
∠ABC = 2x = 2 × 20 = 40°
∠CBD = 3x - 10 = (3 × 20) - 10 = 60 - 10 = 50°
(6)
4x - 18 = 3x + 7 ( vertical angles are congruent )
Subtract 3x from both sides
x - 18 = 7 ( add 18 to both sides )
x = 25
7y = 5y + 28 ( vertical angles are congruent )
Subtract 5y from both sides
2y = 28 ( divide both sides by 2 )
y = 14
Please retype this fraction. If by "---" you mean "subtraction," type 3/7-1/3.
Let's assume that the problem is as follows: (3/7-1/3)(2/3)-1/7;
first, find the LCD of 3/7 and 1/3 and then combine 3/7 and -1/3).
second, multiply your result by (2/3).
third, subtract 1/7 from your result.
If, however, your "---" and "-----" mean "division, then the above is all wrong.
If that's the case, then please retype your whole question.
You could express "the quotient of 2/3 and 1/6" as follows:
2
----
3
------------------------
1
-----
6
Is that what you meant?
Sorry to be picky, but it's very important that you express math properly.
3X+9X=180
12X=180
X=15°
Angle 1=3X
Angle 1 =45°
That's your answer.
