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aivan3 [116]
2 years ago
8

Can someone help me with this page please I have an exam tomorrow, I need to remember the answers unfortunately :)

Mathematics
1 answer:
zimovet [89]2 years ago
8 0

Answer:

1. B. ∠2 and ∠6

2. 50°

3. Option 1, Option 5, and Option 6.

4. 133°

<u>Work for question 4:</u>

180°-47° = 133°

Step-by-step explanation:

1.

Alternate means the angles are on different sides of the transversal (horizontal line in this case). Interior means they are between the parallel lines (lines a and b in this case). (∠2 and ∠6) and (∠3 and ∠7) are the alternate interior angles but only the first is an option.

2.

∠10 = ∠8+∠7 (corresponding angles so they are congruent)

∠10 is 140° and ∠8 is a right angle

140-90 = 50

∠7 = 50°

∠4 = 50° (∠7 and ∠4 are vertical angles so they are congruent)

3.

Sense all angles of a triangle add up to 180 and the ratio of angles is 3:3:6 the we can find the angle with the equation x+x+2x=180

Simplify.

4x=180

Solve by dividing 4 from both sides

x=45

so it is a 45, 45, 90 triangle. (right triangle because the 90 and icoceles because other 2 angles are congruent so option 5 is correct)

m∠J= 45°

m∠K= 45° (Option 1 is correct)

m∠L= 90° (Option 6 is correct)

4.

I honestly don't see how you can solve this without making assumptions so I will make assumptions.

Assuming the whole figure is symmetrical vertically ∠1 is congruent to the same spot on the right side of the shape. This angle would be supplementary to the angle of the angle outside of the shape adjacent on the right making the angle (which is corresponding, therefore congruent to ∠2) 133°.

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A and B are supplementary. A is 20 less than three times the measure of B. What are the measures of A and B?
Amanda [17]

Answer:

∠ A = 130° , ∠ B = 50°

Step-by-step explanation:

supplementary angles sum to 180°

express ∠ A in terms of ∠ B , that is ∠ A = 3∠B - 20 , then

∠ A + ∠ B = 180° , that is

3∠B - 20+ ∠B = 180 ( add 20 to both sides )

4∠B = 200 (divide both sides by 4 )

∠ B = 50°

∠ A = 3 × 50° - 20 = 150° - 20° = 130°

8 0
2 years ago
The table below displays the purchases that Graphic DesignWorks made from
AveGali [126]

If Graphic Design Works uses LIFO and has 125 shorts left in its inventory, the value of its current stock is <u>D. $1485</u>.

<h3>What is the LIFO inventory system?</h3>

The Last-In, First-Out (LIFO) method is an inventory valuation method that assumes that the last units to arrive in inventory are sold first.

The LIFO method is allowed under US GAAP.  It is the opposite of FIFO (First-in, First-Out).  The FIFO method assumes that the units bought first are the first to be sold.

<h3>Data and Calculations:</h3>

Month of                    Number    Price per        Total Cost

Purchase                  of shorts       shorts

June                             40                $11                    440 (40 x $11)

July                              60                $12                   720 (60 x $12)

August                        80                 $13                1,040 (80 x $13)

September                 90                 $14                1,260 (90 x $14)

Ending inventory      125

Using LIFO:

Value of ending inventory = $1,485 ($440 + $720 + $13 x 25)

Thus, if Graphic Design Works uses LIFO and has 125 shorts left in its inventory, the value of its current stock is <u>D. $1485</u>.

Learn more about the LIFO inventory method at brainly.com/question/6640325

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2 years ago
Relations expressed as ordered pairs are?
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3 years ago
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Answer:

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Step-by-step explanation:

8y-3y=40

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the value of y is 8.

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2 years ago
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Answer:

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x = 7

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