Answer:
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Step-by-step explanation:
Answer:
As ΔABC is an <u>isosceles triangle</u>:
⇒ BA = BC
(the dashes on the line segments indicate they are of equal measure)
⇒ ∠BAC = ∠BCA = 55°
⇒ ∠BCA = ∠BAD = 55°
Angles on a <u>straight line</u> sum to 180°
⇒ ∠ADE + ∠EDC = 180°
⇒ 98° + ∠EDC = 180°
⇒ ∠EDC = 82°
As BE intersects AC, the <u>vertically opposite angles</u> are <em>equal</em>:
⇒ ∠BDC = ∠ADE = 98°
⇒ ∠ADB = ∠EDC = 82°
Interior angles in a triangle sum to 180°
⇒ ∠BAD + ∠ADB + ∠ABD = 180°
⇒ 55° + 82° + ∠ABD= 180°
⇒ ∠ABD = 180° - 55° - 82°
⇒ ∠ABD = 43°
18q+18=180
-18. -18
18q=162
/18. /18
q=9
3q=27
Answer:
17640
Step-by-step explanation:
at a discount of 10% per year $4900 is equal to $490 per year
payment started 6 years ago from now and ended 20 years from now
therefore there is an accumulation of 26 years
for 26 years = 26 *$490= $12740
present value therefore = $4900+$12740=$ 17640
Answer: 62
Step-by-step explanation:
You do 112-19-31 and then it equal = 62
