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Svet_ta [14]
4 years ago
13

Which reason validates the statement: "The diagonals of a rectangle are congruent"

Mathematics
1 answer:
Colt1911 [192]4 years ago
3 0

Answer:

D. Distance formula to prove AC and BD are congruent.

Step-by-step explanation:

A rectangle is a parallelogram with 4 right angles.  Now, since a rectangle is a parallelogram, its opposite sides must be congruent and it must satisfy all other properties of parallelograms

The diagonals of a rectangle are congruent if AC = DB

So the correct option is option D.

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Better anian shows at 50 pounds of dogs get 0.5 milligrams of a certain medicine and that the number of milligrams various direc
miss Akunina [59]

Answer:

Medicine to 10 pound dog = 0.1 milligrams  

Step-by-step explanation:

Given:

Medicine to 50 pound dog = 0.5 mg

Weight of dog = 10 lb

Find:

Amount of medicine

Computation:

Medicine to 1 pound dog = 0.5 mg / 50

Medicine to 10 pound dog = [0.5 mg / 50] 10

Medicine to 10 pound dog = 0.1 milligrams  

7 0
3 years ago
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Kylie owes $1,700 on her credit card. The bank charges a monthly interest rate of 0.925%. If Kylie wants to pay off her credit c
aksik [14]

Answer:

$221.44

Step-by-step explanation:

As the bank charges a <em>monthly </em>interest, we cannot calculate a simple or compound interest over the 8 month period.  As the balance will decrease each month as Kylie makes payments, the interest applied each month will also decrease.  Therefore, we have to use:

<u>Monthly Payment Formula</u>

\sf PMT=\dfrac{Pi(1+i)^n}{(1+i)^n-1}

where:

  • PMT = monthly payment
  • P = loan amount
  • i = interest rate per month (in decimal form)
  • n = term of the loan (in months)

Given:

  • P = $1,700
  • i = 0.925% = 0.00925
  • n = 8 months

Substituting the given values into the formula and solving:

\implies \sf PMT=\dfrac{1700(0.00925)(1+0.00925)^8}{(1+0.00925)^8-1}=221.4403207

Therefore, the monthly payment to the nearest dollar will be $221.44

7 0
2 years ago
How to do this question plz ​
Jlenok [28]

Answer:

Step-by-step explanation:

surface area of two trapezoids=2[(12+8)/2×3]=2[30]=60 cm²

surface area of side rectangles=10×8+10×12=10(8+12)=200 cm²

surface area of top=10×5=50 cm²

surface area of bottom=10×3=30 cm²

Total surface area=60+200+50+30=340 cm²

8 0
3 years ago
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1) What is the first x in x + 3x = 16?
Lyrx [107]
1. x=22/5
2. x=4
3. x=4
5 0
3 years ago
a rock climber averages 12 3/5 feet per minute. How many feet does the rock climber climb in 30 minutes?
satela [25.4K]

Answer: 378

<em>3/5=.6</em>

<em>12.6x30=378</em>

8 0
3 years ago
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