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kari74 [83]
2 years ago
10

The measure of an angle is three times the measure of its supplementary angle. What is the measure of each angle?

Mathematics
1 answer:
madreJ [45]2 years ago
5 0

Answer:

45°

135°

Step-by-step explanation:

Let the measure of one angle be x

So, measure of its supplementary angle = 3x

\implies \: x  + 3x  = 180 \degree \\  \\  \implies \: 4x = 180 \degree  \\  \\\implies \: x = \frac{ 180 \degree}{4} \\  \\\implies \: x = 45 \degree \\  \\  \implies \: 3x  = 135 \degree

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natali 33 [55]
A= 1
B= -5
C= 10

In order to figure it out, you can think about it like this..

4 0
3 years ago
3. The following sets are not equal - An (BUC) and AU(BnC) Construct a universe U and non-empty sets A, B, and C so that the abo
yarga [219]

Answer:

1.U={1,2,3,4,5}

A={2}

B={2,3}

C={4,5}

2.U={1,2,3,4}

A={1,2}

B={2,3}

C={4}

Step-by-step explanation:

We are given that A\cap (B\cup C) and A\cup (B\cap C)

are different sets

1.We have to construct a universe set U and non empty sets A,B and C so that above set in fact the same

Suppose U={1,2,3,4,5}

A={2}

B={2,3}

C={4,5}

B\cap C=\phi

B\cup C={2,3,4,5}

A\cap (B\cup C)={2}\cap{2,3,4,5}={2}

A\cup (B\cap C)={2}\cup\phi={2}

Hence, A\cap (B\cup C)=A\cup (B\cap C)

2.We have to construct a universe set U and non empty sets A,B and C so that  above sets are in fact different

Suppose U={1,2,3,4}

A={1,2}

B={2,3}

C={4}

B\cap C=\phi

B\cup C={2,3,4}

A\cup (B\cap C)={1,2}\cup \phi={1,2}

A\cap (B\cup C)={1,2}\cap {2,3,4}={2}

Hence, A\cap (B\cup C)\neq A\cup (B\cap C)

3 0
3 years ago
There are 20,000 members of a zoo. The percent of
schepotkina [342]

1500 members have a contributor  membership.

64.8% of the noncontributory  memberships are individual memberships.

<u>Step-by-step explanation:</u>

There are 20,000 members of a zoo.

⇒ Total members = 20,000

From the graph shown,

7.5% of the members have a contributor  membership.

<u>To find the number of members who have contributor  membership :</u>

⇒ 7.5% of 20,000

⇒ (7.5/100) × 20,000

⇒ 7.5 × 200

⇒ 1500 members.

Therefore, 1500 members have a contributor  membership.

<u>To find the percentage of the noncontributory  memberships are individual memberships :</u>

The percentage of noncontributory  memberships = 100% - 7.5% ⇒ 92.5%

The percentage of individual memberships = 60%

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3 0
3 years ago
Which one is it please help tank you!
Len [333]

Answer:

3.6 × 10^4

Step-by-step explanation:

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6 0
3 years ago
A membership to the gym costs $25 per person in 1995. The membership cost has increased by an average of $6 per person for each
inysia [295]

Answer:

The cost of a gym membership would be 109

Step-by-step explanation:

2009-1995=14

thats how many years apart from each other

so its been 14 years $6 for each year so 14x6=84

so the regular price was $25 and went up 84 dollars last 14 years.

25+84=109 so the price of gym membership would be $109

6 0
3 years ago
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