Answer:
thank you so much!
Step-by-step explanation:
Answer:
x is 21°
Step-by-step explanation:
The angles formed between the transversal <em>t</em> and lines <em>m</em> and <em>n</em> are; (8·x - 7)°, and (9·x - 28)°
Based on the similar location the angles are formed by the transversal, <em>t</em>, and lines <em>m</em> and <em>n</em>, the angles are corresponding angles
Given that lines, <em>m</em> and <em>n</em> are parallel, we have the corresponding angles formed by the transversal, <em>t</em>, and the lines are equal, therefore;
(8·x - 7)° = (9·x - 28)°
Simplifying the above equation to make <em>x</em> the subject, we get
(28 - 7)° = 9·x - 8·x = x
∴ 21° = x
x = 21°.
Answer: A)
Step-by-step explanation:
Answer:
BC = 54
Step-by-step explanation:
Don't get caught on this question. There really is enough information.
The vertical line through D can be shown to be a perpendicular bisector of AC.
That means AB = BC
6x = 9x - 27 Add 27 to both sides
6x + 27 = 9x Subtract 6x from both sides
27 = 9x - 6x
27 = 3x Divide by 3
27/3 = x
x = 9
There are two ways to find BC.
1) Find AB
AB = 6 * 9 = 54
2) Find BC
BC = 9x - 27
BC = 9*9 - 27
BC = 81 - 27
BC = 54
Good thing to remember for a test. Remember that BD is the perpendicular bisector of AC. Both segments making up AC are equal.
