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3 years ago

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Mathematics

1 answer:

ikadub [295]3 years ago

8 0

Answer:

the corresponding sides and angles would be a pair of matching angles or sides that are in the same spot in two different shapes.

Step-by-step explanation:

So look at triangle AWXV and check each side....does side AW correspond with other triangle AX - meaning they are the same?

Repeat to find the same angle in each triangle that matches.

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Find the values of x, y and z from the given parallelograms. please help please it's a request

Dmitry [639]

Answer:

(ii) (x, y, z) = (110°, 30°, 30°)

(iii) (x, y, z) = (110°, 70°, 70°)

Step-by-step explanation:

The things you need to know and use are ...

Opposite angles of a parallelogram are congruent.

Adjacent angles of a parallelogram are supplementary.

Alternate interior angles between a transversal and parallel lines are congruent.

Corresponding angles where a transversal crosses parallel lines are congruent.

(ii) Angles B and D are opposite, so congruent:

x = 110°

Angle DAB is supplementary to angle B, so is 70°. That means z is ...

z = 70° -40° = 30°

Angle y is "alternate interior" relative to z, so is congruent to z:

y = 30°

(iii) Angle x is adjacent to angle N, so is supplementary to 70°.

x = 180° -70° = 110°

Angle y is opposite angle N, so is congruent.

y = 70°

Angle z is corresponding to angle N, so is congruent. (It is also "alternate interior" with respect to angle y, so is congruent to y.)

z = 70°

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Answer:

The average daily balance for the month of June is 55.16

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So these will add in the account

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June 22nd = withdrawal of -120

These will be subtracted from the account.

$\therefore$ We have to add the deposits and subtract the withdrawals from the starting balance to obtain the total amount.

So, the total amount deposited in June is (1223 +615-63-120) = 1655

The total days in June is 30. In 30 days, the total deposit is 1655. To calculate the average balance, we have to divide the total amount by the total number of days in the month.

So, in 1 day the deposit is $\frac{1655}{30} = 55.16$

Hence, the average daily balance for June is = 55.16

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