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Flura [38]
3 years ago
13

In the given diagram if AB || CD, ∠ABO = 118° , ∠BOD = 152° , then find the value of ∠ODC.

Mathematics
1 answer:
GaryK [48]3 years ago
6 0

Answer:

90°

Step-by-step explanation:

Through point O draw a ray on left side of O which is || to AB & CD and take any point P on it.

Therefore,

∠ABO + ∠BOP = 180° (by interior angle Postulate)

118° + ∠BOP = 180°

∠BOP = 180° - 118°

∠BOP = 62°.... (1)

Since, ∠BOP + ∠POD = ∠BOD

Therefore, 62° + ∠POD = 152°

∠POD = 152° - 62°

∠POD = 90°.....(2)

∠POD + ∠ODC = 180° (by interior angle Postulate)

90° + ∠ODC = 180°

∠ODC = 180° - 90°

\huge\red {\boxed {m\angle ODC =  90°}}

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She knit 1/4 of the total length of the scarf on monday

Answer:

She knit 7/10 of the scarf altogether

Step-by-step explanation:

Please see the attached file for explanation

3 0
3 years ago
PLEASE HELP I WILL MARK!!
Rina8888 [55]

answer is D

Explamation:

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8 0
3 years ago
The price of an item has been reduced by 40%. The original price was $66. Find the price of the item now.
serious [3.7K]

Answer:

$39.60

Step-by-step explanation:

We are finding 66 - 40%

66 less 40% = 60% of 66

60% of 66 is the price of the item now.

Convert 60% to decimal form by dividing by 100.

60%/100 = 0.60

Multiply the decimal form by 66

66 X 0.6 = 39.60

Since we are dealing with money, keep 2 decimal places, even if the last digit is 0.

The price of the item now is $39.60.

7 0
3 years ago
A rental car company charges $31.91 per day to rent a car and $0.07 for every mile driven. Hudson wants to rent a car, knowing t
qaws [65]

The inequality that can be used to determine x is 31.91x + 7 \leq 70

<u />

<h3>How to generate the inequality</h3>

<u>Given data</u>

Rental company charge per day = $31.91

Rental company charge per mile driven = $0.07

Hudson  plans to drive 100 miles

Hudson has at most $70

solution

let x represent he maximum number of days Hudson can afford to rent while staying on budget. cost of number of days is:

$31.91 * x= 31.91x

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100 * 0.07 = $7

therefore number of days plus 100 miles ride is:

31.91x + 7

with a limit of less than or equal to the budget we have:

31.91x + 7 \leq 70

The inequality above could be used to determine x

Read more on inequality here:  brainly.com/question/11613554

#SPJ1

6 0
1 year ago
Evaluate the following polynomial. (32mn2 + 50m2n) - (10mn2 - 16m2n + 64).
zaharov [31]
I think the answer is 22mn2+66m2n-64 since there are no more like terms
7 0
3 years ago
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