x° = 14°, y° = 14°; Use vertical and supplementary angles.
Step-by-step explanation:
The image of the answer is attached below.
In the given image two lines are parallel with transversal.
(9x + 12)° and ∠1 are vertically opposite angles.
Vertically opposite angles are equal.
∠1 = (9x + 12)°
Consecutive interior angles are supplementary.
(9x + 12)° + 3x° = 180°
⇒ 12x° = 168°
⇒ x° = 14°
Sum of the adjacent angles in a line are supplementary.
3x° + (4y – 10)° = 180°
⇒ 3(14)° + 4y° – 10° = 180°
⇒ 4y° = 148°
⇒ y° = 14°
Hence, x° = 14°, y° = 14°; Use vertical and supplementary angles.
Answer:
No. A trapezoid is a shape with four sides, while a hexagon is a shape with six sides.
Step-by-step explanation:
Answer:
25/28
Step-by-step explanation:
28 is the greatest common factor, found by multiplying 7 by 4 (the denominators)
1/7 = 4/28
3/4 = 21/28
21/28 + 4/28 = 25/28
For the five characters of the five-character password, the first three slots are already taken for the initial F, J, S, the password would become,
FJS_ _
The last two slots could be any of the even digits. In the fourth slot, Fiona can have any of the 5 values. On the fifth slot, she can have only 4 choices as the other digit was already used. Multiplying 5 and 4, the answer would be 20.
The answer is: " 19 " .
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Explanation:
To solve:
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Given:
" 4² + 6 ÷ 2 " ;
We solve using "PE MD AS" (mnemonic device for order of operations in order of consideration); which stands for:
"Please Excuse My Dear Aunt Sally (or Aunt Susan)" ;
Alternately: "BE MD AS"
" Be Excused My Dear Aunt Sally (or Aunt Susan)" .
"Parentheses {alternative version: "Brackets" ; in which "Parentheses can be considered "Brackets" ; yet in reality, Brackets would come before Parentheses}, then Exponents, then "Multiplication then Division (from left to right as they occur in the problem) , then "Addition then Subtraction (from left to right as they occur in the problem) .
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As such:
Given: " 4² + 6 ÷ 2 " , we have:
"exponents", "addition" and "division" ;
So we can rewrite the problem as:
" (4²) + (6 ÷ 2) =
(4 * 4) + (3) =
(16) + (3) = 19 .
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The answer is: " 19 " .
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