Answer:
Option (4). 135°
Step-by-step explanation:
From the figure attached,
Two pair of vertical angles have been given,
∠ABD and ∠CBE
∠ABE and ∠CBD
One pair of angles ∠ABD and ∠CBE are acute angles which are less than 90°.
Similarly, other pair ∠ABE and ∠DBC are obtuse angles which are more than 90°.
Therefore, out of the given options measure of one pair ∠DBC and ∠ABE should be 135°.
Option (4) will be the answer.
Yes, what would you like help with?
<span>Two or more decimal numbers are said to be equivalent decimals, when they name the same value (or same amount).
For example, the decimals: 0.2 = 0.20 = 0.200 = 0.2000 etc.
Thus by successive addition of zeros after the decimal part of the number after the decimal point means the same number and hence are equivalent.
Therefore, the decimals: 5.3, 5.30, 5.300, 5.3000 etc are all equivalent.</span>
Answer:
(9/2, 9/2)
Step-by-step explanation:
midpoint formula = (x1 + x2/2, y1 + y2/2)
(7,6) is x1 and y1.
(2,3) is x2 and y2.
Solve:
x-coordinate= (7+2)/2 = 9/2 or 4.5
y-coordinate= (6+3)/2 = 9/2 or 4.5
your final answer is (9/2, 9/2)
decimal form = (4.5, 4.5)
Answer:
Let the 'cart' total is x and total payment is y.
The sales tax is 5.6% added to the 'cart' amount and then shipping and handling fee added.
<h3>Part A</h3>
<u>There are three intervals as below and function added accordingly:</u>
- 0 < x ≤ 49.99 ⇒ y = x + 5.6% + 3.95 = 1.056x + 3.95
- 50 ≤ x ≤ 75.99 ⇒ y = x + 5.6% + 11.95 = 1.056x + 11.95
- x ≥ 76 ⇒ y = x + 5.6% + 5.95 = 1.056x + 5.95
<h3>Part B</h3>
- x = 74.50, this falls in the second interval
- y = 74.50*1.056 + 11.95 = $90.62 (rounded )
<h3>Part C</h3>
y = 89.20, this is close to the number we got in part B and we assume it is same - the middle interval.
- 89.20 = 1.056x + 11.95
- 1.056x = 89.20 - 11.95
- 1.056x = 77.25
- x = 77.25 / 1.056
- x = 73.15 (rounded )
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- <em>Note. Shipping and Handling charges seems incorrectly ordered. If so the answers above all should change accordingly.</em>
