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2 years ago

Stuck on this question. Please Help!

Mathematics

1 answer:

earnstyle [38]2 years ago

8 0

Answer:

x = 19 degrees

Step-by-step explanation:

Hi there!

We're given that CD = DE. This makes angle ECD equal to 38 degrees (equal to angle CED).

The sum of the interior angles in a triangle is 180 degrees. Now, we can use this information to find angle D:

180-38-38=D

D=104

Therefore, angle D is 104 degrees.

This is a parallelogram, so angle B is also 104 degrees.

The sum of the interior angles in a quadrilateral is 360 degrees. Now, we can use this to find angle A:

360-104-104=A+C

152=A+C

Keep in mind that because this is a parallelogram, angles A and C are equal:

152=2A

A=76

Therefore, angle A is 76 degrees.

To solve for x, we can use the following equation:

3x+x=76

4x=76

x=19

Therefore, x is 19 degrees.

I hope this helps!

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Write the next three terms: 7,10,13,16,

vovikov84 [41]

Answer:

7,10,13,16,19,21,24,27

Step-by-step explanation:

Add 3 every time

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

6 0

3 years ago

The ratio of money in Terry's bank account to Faye's bank account was 3:5.

inn [45]

Answer:

Terry had £780 initially and Faye had £1300

Step-by-step explanation:

System of Equations

We'll call the following variables:

x = Terry's balance in his bank account

y = Faye's balance in her bank account

The initial relation between them is:

$\frac{x}{y}=\frac{3}{5}$

Cross-multiplying:

5x = 3y [1]

If Terry put £220 in his account he had x+220 and if Faye withdrew £300 from her account, she had y-300. Both quantities are equal, thus

x + 220 = y - 300

Subtracting 220:

x = y - 520 [2]

Substituting in [1]

5(y - 520) = 3y

Multiplying:

5y - 2600 = 3y

Adding 2600 and subtracting 3y:

2y = 2600

Dividing by 2:

y = 1300

From [2]:

x = 1300 - 520

x = 780

Terry had £780 initially and Faye had £1300

7 0

3 years ago

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stiv31 [10]

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3 years ago

Find the values of x and y that makes each equation true. –(5y)i+12=4x+25i

vovikov84 [41]

Equate real part and imaginary part:

LHS:

real part -- 12

imaginary part -- 5y

RHS:

real part = 4x

imaginary part = 25

Equating::

12 = 4x

x = 12/4

x = 3

Again:

5y = 25

y = 25/5

y = 5

So,

x = 3

y = 5

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1 year ago

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Answer:

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Step-by-step explanation:

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3 years ago