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2 years ago

HELP ASAP!!! explanation requiredd!

Mathematics

2 answers:

Mkey [24]2 years ago

6 0

(7x-5)+(3x-15)=180°

10x-20=180

10x=200

x=20

(3x-15) + E = 180

3(20)-15 + E = 180

45 + E = 180

E = 135°

FG = EH = 2(y+1)

horrorfan [7]2 years ago

5 0

Answer:

∠ E = 135° , FG = 10

Step-by-step explanation:

The opposite sides and angles of a parallelogram are congruent.

Consecutive angles are supplementary, that is sum to 180°

Then

3x - 15 + 7x - 5 = 180 , that is

10x - 20 = 180 ( add 20 to both sides )

10x = 200 ( divide both sides by 10 )

x = 20

then

∠ G = 7x - 5 = 7(20) - 5 = 140 - 5 = 135°

∠ E = ∠ G = 135°

-------------------------------------------------

EF = HG ( substitute values )

3y = y + 8 ( subtract y from both sides )

2y = 8 ( divide both sides by 2 )

y = 4

then

EH = 2(y + 1) = 2(4 + 1) = 2 × 5 = 10

FG = EH = 10

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Suppose that profit for a particular product is calculated using the linear equation: Profit = 20S + 3D. Which of the following

uranmaximum [27]

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b. S = 405, D = 0

Step-by-step explanation:

We have been given that profit for a particular product is calculated using the linear equation: $\text{Profit}=20S+3D$ . We are asked to choose the combinations of S and D that would yield a maximum profit.

To solve our given problem, we will substitute given values of S and D in the profit function one by one.

a. S = 0, D = 0

$\text{Profit}=20S+3D$

$\text{Profit}=20(0)+3(0)$

$\text{Profit}=0$

b. S = 405, D = 0

$\text{Profit}=20S+3D$

$\text{Profit}=20(405)+3(0)$

$\text{Profit}=8100+0$

$\text{Profit}=8100$

c. S = 0, D = 299

$\text{Profit}=20S+3D$

$\text{Profit}=20(0)+3(299)$

$\text{Profit}=0+897$

$\text{Profit}=897$

d. S = 182, D = 145

$\text{Profit}=20S+3D$

$\text{Profit}=20(182)+3(145)$

$\text{Profit}=3640+435$

$\text{Profit}=4075$

Since the combination S = 405, D = 0 gives the maximum profit ($8100), therefore, option 'b' is the correct choice.

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