Simplify (3 to the power of 3×5 to the power three)-2
1 answer:
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Answer:
Option (1), (2) , (7) and (8) is correct.
Step-by-step explanation:
Given: a║b and d and c be transversal , We have to find the value of x and measure of angle 1 and 2.
Since, a║b and d be a transversal then ,
∠BXZ = ∠AZP = 58° ( corresponding angles )
Thus, m∠2 = 58°
∠BYC = ∠XYZ = (4X-10)° (vertically opposite angles)
Since, a║b and c be a transversal then,
∠XYZ = ∠QZU = (4X-10)° (Corresponding angles)
Thus, m∠1 = (4X-10)°
Also, Since, 'a' is a straight line.
Sum of angles on a straight line is 180°.
⇒ ∠PZA + ∠PZQ + ∠QZU = 180°
⇒ 58° +(3X-1)°+(4X-10)° = 180°
⇒ 58° + 7x - 11 = 180°
⇒ 47° + 7x = 180°
⇒ 7x = 180°- 47°
⇒ 7x = 133°
⇒ x = 19°
Put x = 19 in (3X-1)° and (4X-10)° , we get
(3X-1)° = (3(19)-1)° = 56°
(4X-10)° = (4(19)-10)°= 66
Thus, (3X-1)° ≠ (4X-10)°
Thus, option (1), (2) , (7) and (8) is correct.
Answer: (4, -9)
<u>Step-by-step explanation:</u>
Use elimination method. Manipulate one (or both) equations to eliminate one of the variables and solve for the remaining variable. <em>I will be eliminating y</em>
6x + y = 15 → 2(6x + y = 15) → 12x + 2y = 30
-7x - 2y = -10 → 1(-7x + 2y = -10) → <u> -7x - 2y = -10</u>
5x = 20
x = 4
Next, replace "x" with "4" into either equation and solve for y.
6(4) + y = 15
24 + y = 15
y = -9
<u>Check:</u>
Plug in x = 4 and y = -9 into the other equation to verify it makes a true statement.
-7x - 2y = -10
-7(4) - 2(-9) = -10
-28 - -18 = -10
-28 + 18 = -10
-10 = -10
