Answer:The eight angles will together form four pairs of corresponding angles. Angles 1 and 5 constitutes one of the pairs. Corresponding angles are congruent. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs e.g. 3 + 7, 4 + 8 and 2 + 6.
Step-by-step explanation:
Answer: 3 1/3 ft^2
Step-by-step explanation:
Start by converting the inches into feet
1 ft = 12 in
4 in/1 x 1 ft/ 12 in = 4/12 ft = 1/3 ft
Now, imagine just multiply like normal for a rectangle:
Area of a rectangle = base x height
Area of rectangle = (10 ft) (1/3 ft)
Area of rectangle = 3 1/3 ft^2
Answer:
9
Step-by-step explanation:
Plug in -2 for x, and -1 for y, and solve:
3x - 4y + 11
3(-2) - 4(-1) + 11
Remember to follow PEMDAS. First, multiply. Remember, that when you multiply:
2 positive signs will result in a positive answer.
1 positive & 1 negative will result in a negative answer.
2 negative will result in a positive answer.
3 * -2 = -6
-4 * -1 = 4
-6 + 4 + 11 = 9
9 is your answer.
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<span>We can determine, a 30/25/15 series trade discount would be calculated as follows:
let X = retail price.
X - 0.30 </span>× X = Y ⇒ first discounted price.
<span>
Y - 0.25 </span>× Y = Z ⇒ second discounted price.
<span>
Z - 0.15*Z = T </span>⇒ total discounted price.
<span>
X - 0.30 </span>× X = (1 - 0.30) × X = 0.70 × X = Y
<span>
Y - 0.25 </span>× Y = (1 - 0.25) × Y = 0.75 × Y = Z
<span>
Z - 0.15 </span>× Z = (1 - 0.15) × Z = 0.85 × Z = T
<span>
since Z = 0.85 </span>× Y, then 0.85 × Z = 0.85 × 0.75 × Y
<span>
since Y = 0.70 </span>× X, then 0.85 × Z = 0.85 × 0.75 × 0.70 × X
<span>
based on the above, then T = total discount
= 0.85 </span>× 0.75 × 0.70 × X
= 0.44625X<span>
30/25/15 series discount is equivalent to a total discount of 44.625%
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