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Aleonysh [2.5K]
1 year ago
12

Lance is at the grocery store and has three options for buying boxed mac 3 points

Mathematics
1 answer:
Nataly [62]1 year ago
3 0

Answer:b

Step-by-step explanation:

Because it b

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Determine the total annual FICA tax for an annual salary of $110,330. Use $106,800 for maximum taxable earningsa.$822.14b.$844.0
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<span>The Federal Insurance Contributions Act (FICA) requires employers to withhold a certain percentage of an employee's income as tax. The categories are: 6.2% as social security tax 1.45% as Medicare tax 0.9% as Medicare surtax for employees earning more than $200,000 In this case, the percentage of tax applied will be 6.2 + 1.45 = 7.65% The FICA tax will be 110,330 * 0.0765 FICA tax = $8,440.24</span>
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1 year ago
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If quadrilateral PQRS is a rectangle, then which of the following is true?
brilliants [131]

∠STP ≅ ∠QTR is the True statement ⇒ answer C

Step-by-step explanation:

In any rectangle

1. Each two opposite sides are equal and parallel

2. The measure of its vertex angles is 90°

3. The two diagonals are equal

Now lets find the true statements

∵ PQRS is a rectangle

∴ PS = QR ⇒ opposite sides

∴ PQ = SR ⇒ opposite sides

∴ PR = QS ⇒ diagonals

A.  ∠PSQ ≅ ∠QSR

∵ The diagonals of the rectangle do not bisect the vertex angles

∴ AQ does not bisect angle S

∴  m∠PSQ ≠ m∠QSR

∴  ∠PSQ not congruent ∠QSR

∠PSQ ≅ ∠QSR ⇒ False

B. segment SR ≅ segment RQ

∵ SR and RQ are two adjacent sides

∵ The adjacent side in the rectangle not equal

∴ SR ≠ QR

∴ segment SR not congruent to segment RQ

segment SR ≅ segment RQ ⇒ False

C. ∠STP ≅ ∠QTR

∵ PR intersects QS at point T

∴ m∠STP = m∠QTR ⇒ vertically opposite angles

∴ ∠STP ≅ ∠QTR

∠STP ≅ ∠QTR ⇒ True

D. segment PS ≅ segment PR

∵ PS is a side in the rectangle

∵ PR is a diagonal in the rectangle

∵ The side of the rectangle not equal the diagonal of the rectangle

∴ PS ≠ PR

∴ segment PS not congruent to segment PR

segment PS ≅ segment PR ⇒ False

∠STP ≅ ∠QTR is the True statement

Learn more:

You can learn more about rectangle in brainly.com/question/6594923

#LearnwithBrainly

8 0
2 years ago
Read 2 more answers
Patrick owns an apartment building. He knows that the money he earns in a month depends on the rent he charges. The relationship
belka [17]

E=13,000 and<span>E=1/50R(1650-R)</span>

<span>
</span>

<span />0.02R(1650-R)=13000

<span>(0.02R)(1650)-0.02R²=13000</span>

<span /><span>0.02R²-33R+13000=0</span>

<span>R2-1650R+650000=0</span>

<span>SOLVE W QUAD FORMULA
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7 0
1 year ago
Which statement best summarizes the central idea of “Applications of Newton’s Laws”? Newton’s laws can explain the forces that o
nadya68 [22]
Answer: <span>Newton’s laws can explain the forces that occur between objects every day. 

Newton's Laws are known as the "Three Laws of Motion." They address inertia, force, and gravity. Because these are all phenomenons that occur every day, that is the correct answer.
</span>
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2 years ago
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Andre and Diego were each trying to solve 2x+6=3x−8. Describe the first step they each make to the equation. The result of Andre
Oksi-84 [34.3K]

Answer:

  • Andre subtracted 3x from both sides
  • Diego subtracted 2x from both sides

Step-by-step explanation:

<u>Andre</u>

Comparing the result of Andre's work with the original, we see that the "3x" term on the right is missing, and the x-term on the left is 3x less than it was. It is clear that Andre subtracted 3x from both sides of the equation.

__

<u>Diego</u>

Comparing the result of Diego's work with the original, we see that the "2x" term on the left is missing, and the x-term on the right is 2x less than it was. It is clear that Diego subtracted 2x from both sides of the equation.

_____

<em>Comment on their work</em>

IMO, Diego has the right idea, as his result leaves the x-term with a positive coefficient. He can add 8 and he's finished, having found that x=14.

Andre can subtract 6 to isolate the variable term, and that will give him -x=-14. This requires another step to get to x=14. Sometimes minus signs get lost, so this would not be my preferred sequence of steps.

As a rule, I like to add the opposite of the variable term with the least (most negative) coefficient. This results in the variable having a positive coefficient, making errors easier to avoid.

3 0
1 year ago
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