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bogdanovich [222]
2 years ago
11

What is the solution of this equation 5( x - 4) = 3x + 4

Mathematics
1 answer:
Art [367]2 years ago
8 0
5 (x - 4) = 3x + 4
5x - 20 = 3x + 4
5x - 3x = 4 + 20
2x = 24
x = 12
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What additional information would allow you to prove the quadrilateral is a parallelogram?
slavikrds [6]

The additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ

<h3>How to prove a Parallelogram?</h3>

The six basic properties of parallelograms are primarily;

  • Both pairs of opposite sides are parallel
  • Both pairs of opposite sides are congruent
  • Both pairs of opposite angles are congruent
  • Diagonals bisect each other
  • One angle is supplementary to both consecutive angles (same-side interior)
  • One pair of opposite sides are congruent AND parallel.

Now, looking at the parallelogram properties above and comparing with the given image of the quadrilateral attached, we can say that the additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ

Read more about Parallelogram Proof at; brainly.com/question/24056495

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2 years ago
Which of the following functions is graphed below?
dalvyx [7]
Hmmm I think either D or C
6 0
3 years ago
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Find the area of a circle whose circumference is the same as the perimeter of a square of side 22 cm. (Take π = 22/7)
Nadya [2.5K]

Answer:

Perimeter of a square=circumference of circle

4×22=2πr

44=πr

r=14

Area of circle=πr2

22/7×14×14

28×22

616

5 0
2 years ago
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Find the area of a circle with a diameter of 14 meters. Round your answer to the nearest hundredth of a square meter.
Jlenok [28]

<u>To find the area of the circle</u>:

 ⇒ need to know the formula: \pi r^{2}

  • r: radius or half of diameter's length ⇒ 7 meters

<u>Let's calculate:</u>

 Area = \pi (7)^2=49\pi =153.9380m^3

<u>The problem asks us to round to the nearest hundreth</u>:

Area = 153.94m^3

<u>Answer:</u> 153.94m^3

Hope that helps!

 

4 0
1 year ago
) You are finally well!  But now your child is sick!  You know there have been mistakes in orders so you are on the internet t
rjkz [21]

Answer:

The doctor's dosage was not appropriate.

The right dosage is from 56.625 mg to 113.25 mg of Antibiotic to be given every 6 hour for the child with weight 25 lbs.

Step-by-step explanation:

It is given that 20 to 40 mg/kg/day is the recommended dosage.

Now, the doctor's order is 150 mg of antibiotic to be given every 6 hours. And my child weighs 25 lbs.

Now, 1 lb is equivalent to 0.453 kg.

So, my child's weight is (25 × 0.453) = 11.325 kg.

So, the doctor's order is 150 mg of antibiotic to be given every 6 hours for a child of weight 11.325 kg.

Hence, the dosage is [(150 × 4) ÷ 11.325] = 52.98 mg/kg/day.

So, this is not within the limit of 20 to 40 mg/kg/day.

Therefore, the doctor's dosage was not appropriate.

Now, let the appropriate dosage is x mg per every 6 hours for a child with weight 25 lbs i.e. 11.325 kg.

So, 20 \leq  \frac{4x}{11.325} \leq 40

⇒ 20\leq 0.3532x \leq 40

⇒ 56.625 \leq  x \leq  113.25

So, the right dosage is from 56.625 mg to 113.25 mg of antibiotic to be given every 6 hours for the child with weight 25 lbs. (Answer)

5 0
3 years ago
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