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4 years ago

I really need help with this

Mathematics

1 answer:

Sedbober [7]4 years ago

3 0

Answer:

A. ∠1 = 105°

B. ∠2 = 105°

C. ∠1 = 105°

Step-by-step explanation:

We are given the angle made by the 4th street with King's Avenue is 75° as shown in the figure below.

Ques A: It is given that, Car travelling west on the 4th street turns towards south on the King's Avenue.

So, the required angle is ∠1.

Since, The sum of angles formed on a straight line is 180°.

Then, ∠1 + 75° = 180° i.e. ∠1 = 180-75 = 105°

Thus, ∠1 = 105°

Ques B: It is given that, Car travelling southwest on King's Avenue and turns right on 3rd street.

So, the required angle is ∠2.

<em>We have, 'Corresponding anges of two parallel lines are equal' and 'The sum of angles formed on a straight line is 180°.</em>

Then, ∠2 + 75° = 180° i.e. ∠2 = 180-75 = 105°

Thus, ∠2 = 105°

Ques C: It is given that, Car travelling northeast on King's Avenue and turns right on 4th street.

So, the required angle is ∠1.

Since, The sum of angles formed on a straight line is 180°.

Then, ∠1 + 75° = 180° i.e. ∠1 = 180-75 = 105°

Thus, ∠1 = 105°

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4 years ago

Can sum 1 help wit dis qustion plz?

trapecia [35]

Hello!

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3 years ago

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2 years ago

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Step-by-step explanation:

To abbreviate, I will refer to each person by their initials (A,B,C,D).

We will count all the possibilities depending on C and completing each case.

C can sit on the blue, red or green tables. Suppose that C sits on the blue table. Now, A can sit on the yellow or orange tables, then there are 2 possibilities to sit A. After choosing, there remains only one choice for B, either the yellow or orange table, the one which A didn't sit.

Now, the blue, yellow and orange tables are occupied, so D can sit on the red or green tables. Hence, we have 2 choices for D. In total, we have 2×2=4 ways to sit everyone if we choose blue for C.

Suppose that C sits on the green or red tables (2 choices). Now, we split this in two cases.

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3 years ago