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Svetradugi [14.3K]
1 year ago
8

Letters a, b, c, and d are angle measures.

Mathematics
2 answers:
DerKrebs [107]1 year ago
7 0
D
b equals to 75 because they are diagonal, and the one diagonal to a equals 105 so that a and b form a line.
In order to prove f||g, we need to prove c=b, so c equals 75, d equals 105
AlexFokin [52]1 year ago
7 0
D would be the correct answer
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Find the maxmium area of a rectangular plot of land which can be enclosed by rope of length 60 metres​
mario62 [17]

Answer:

225 m²

Step-by-step explanation:

If W is the width of the rectangle, and L is the length, then:

60 = 2W + 2L

A = WL

Use the first equation to solve for one of the variables:

30 = W + L

L = 30 − W

Substitute into the second equation:

A = W (30 − W)

A = 30W − W²

This is a parabola, so we can find the vertex using the formula x = -b/(2a).

W = -30 / (2 × -1)

W = 15

Or, we can use calculus:

dA/dW = 30 − 2W

0 = 30 − 2W

W = 15

Solving for L:

L = 30 − W

L = 15

So the maximum area is:

A = WL

A = (15)(15)

A = 225

3 0
3 years ago
{4x+2y=10<br> y=2x-1<br><br>What is the value of x+y<br><br>A.3.125<br>B.2<br>C.4.5<br>D.3.5​
Evgen [1.6K]

Answer:

D.3.5

Step-by-step explanation:

4x+2y=10(given)

2x+y=5

y=5-2x-----(1)

y=2x-1------(2)(given)

Since the left side of the equations are the the same,

5-2x=2x-1

4x=6

x=1.5

Sub x=1.5 into eq(1),

y = 5-2(1.5) = 5-3 = 2

so, x+y = 1.5+2 = 3.5

8 0
3 years ago
Read 2 more answers
Increase £84 by 3%<br> thank you!
Alex777 [14]
If you would like to increase £84 by 3%, you can calculate this using the following steps:

3% * £84 = 3/100 * 84 = £2.52

£84 + £2.52 = £86.52

The correct result is £86.52.
8 0
3 years ago
Can someone help me with both of the or may be one
azamat

Question 6

Given:

QR = RS

QR = x + 6

RS = 4x

To find:

Length of line segment QS

Steps:

We know QR = RS, so substituting we get,

x + 6 = 4x

     6 = 4x - x

     6 = 3x

  6/3 = x

     2 = x

      x = 2

Now,

QS = QR + RS

QS = x + 6 + 4x

QS = 2 + 6 + 4(2)

QS = 2 + 6 + 8

QS = 8 + 8

QS = 16 units

Therefore, the length of QS is 16 units

Question 7

Given:

QR = RS

QR = 2x - 2

RS = 2x

To find:

Length of line segment QS

Steps:

We know that QR = RS, so substituting the values we get,

          QR = RS

      3x - 2 = 2x

3x - 2 - 2x = 0

     3x - 2x = 2

               x =2

Now,

QS = QR + RS

QS = 3x - 2 + 2x

QS = 3(2) - 2 + 2(2)

QS = 6 - 2 + 2(2)

QS = 6 - 2 + 4

QS = 4 + 4

QS = 8 units

Therefore, the length of QS is 8 units

Happy to help :)

If u need any help feel free to ask

7 0
3 years ago
Read 2 more answers
8Z What is the variable?
Tcecarenko [31]

Answer:

a letter in a math problem

7 0
3 years ago
Read 2 more answers
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