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Helen [10]
3 years ago
8

What is the value of A?

Mathematics
1 answer:
Anastaziya [24]3 years ago
6 0

Answer:

a = 14

Step-by-step explanation:

Since QR = QP then the triangle is isosceles and

QS is a perpendicular bisector, thus

RS = SP ← substitute values

3a = a + 28 ( subtract a from both sides )

2a = 28 ( divide both sides by 2 )

a = 14

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At a​ museum, adult admission is $ 13.00 and children admission is $ 7.50. During one​ day, a total of 1900 adult and children a
bagirrra123 [75]

Answer:

1400 adult admissions.

Step-by-step explanation:

At a museum, adult admission is $13.00

Children admission is $7.50

During one day, a total of 1900 adult and children admissions were collected

And $21,950 in admission fees was collected.

Let adult admissions during that day be x,

And children admissions be y

The simultaneous equation formed is;

x + y = 1900 ... (i)

$13x + $7.50y = $21,950 ... (ii)

Multiplying (i) by 13 and (ii) by 1 we get;

13x + 13y = 24,700  ... (i)

13x + 7.50y = 21,950 ... (ii)

(i) - (ii) we get;

5.5y = 2750

y = 500

So there were 500 children admissions and 1900 - 500 = 1400 adult admissions.

8 0
3 years ago
36 is _______% less than 60?
katovenus [111]
60-36=24
x/100∗60=24
x=40%
6 0
3 years ago
Chang will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $50 and costs an add
oksano4ka [1.4K]

Answer:

  • 450 miles
  • $117.50

Step-by-step explanation:

The difference in fixed cost is $9; the difference in per-mile cost is $0.02. The difference in per-mile cost will equal the difference in fixed cost for a distance of ...

   $9.00/($0.02/mi) = 450 mi

At that distance, the rental cost is ...

  $50 +450×$0.15 = $50 +67.50 = $117.50

Both plans will cost $117.50 for 450 miles of driving.

5 0
3 years ago
Inverse functions are defined as relationships that undo each other mathematically
BabaBlast [244]

Answer:

Inverse of exponential functions are logarithmic functions.

Step-by-step explanation:

Inverse functions exhibit a relationship where they undo each other mathematically. In this case, the inverse of an exponential function is a log function, where;

An exponential function y=a^x  has its inverse as x=a^y

This exponential equation x=a^y is equivalent to the function y= logₐ x  under the conditions; x=a^y : a>0 , a≠1

6 0
3 years ago
Show your work please
Aneli [31]
Rise is 3 and run is 3.5 so its 3/3.5
5 0
3 years ago
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