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vitfil [10]
3 years ago
8

Someone help me with this!!!!! ASAP

Mathematics
1 answer:
san4es73 [151]3 years ago
3 0

here's the solution,

let <u>the segment be AB</u>, and PQ is perpendicular bisector of AB at Q , and Let P be the point on perpendicular bisector, and join P with A and B,

and since <u>PQ bisects AB into AQ</u> and BQ, they are equal,

that is , AQ = BQ

now, two triangles are formed.

In the given triangles, <u>PQA and PQB</u>

  • PQ = PQ

( common side )

  • mPQA = mPQB

( perpendicular forms 90° )

  • AQ = BQ

( they are equal, proved above )

here, Triangle PQA and PQB are congruent by SAS ( side angle side ) criterion.

So, AP = BP ( by C.P.C.T )

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I do not know math and im not in highschool im in middle school T_T
Ymorist [56]

Answer:

4 mugs

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Why equals 3/4 X -12 and why equals negative 4X - 31
Helga [31]

Answer:

  (x, y) = (-4, -15)

Step-by-step explanation:

Perhaps you want the solution to ...

  y = 3/4x -12

  y = -4x -31

Equating the two expressions for y gives ...

  3/4x -12 = -4x -31

  3/4x = -4x -19 . . . . . add 12

  3x = -16x -76 . . . . . multiply by 4

  19x = -76 . . . . . . . . . add 16x

  x = -76/19 = -4 . . . . divide by 19

  y = (3/4)(-4) -12 = -15 . . . . use the first equation to find y

The solution to this system of equations is ...

  (x, y) = (-4, -15)

8 0
3 years ago
Karl drove 619.5 miles. For each gallon of gas, the car can travel 41 miles. What is a reasonable estimate of the number of gall
dusya [7]

Answer:

15

Step-by-step explanation:

Calculation for What is a reasonable estimate of the number of gallons of gas Karl used

Estimated number of gallons used=619.5 miles/41 miles

Estimated number of gallons used=15

Therefore the reasonable estimate of the number of gallons of gas Karl used is 15

6 0
3 years ago
Here is a sketch of a curve.
Ugo [173]

Answer:

The turning point of the graph is at (3,-16)

Step-by-step explanation:

The general equation of curve is given as:

y = x² + ax + b

The two point for which the equation satisfies is (0,-7) and (7,0).

Substitute (0,-7) in the general equation:

y = x² + ax + b

-7 = 0² + a(0) + b

b = -7

Substitute (7,0) in the general equation:

y = x² + ax + b

0 = 7² + 7a + b

Where b = -7

0 = 49 + 7a - 7

0 = 42 + 7a

a = -6

The equation of the curve is:

a = -6 and b = -7

y = x² + ax + b

y = x² - 6x - 7

Graph of the equation is attached below.

We can see that the the turning point of the graph is at (3,-16)

5 0
3 years ago
A certain city's population is 120,000 and decreases 1.4% per year for 15 years.
mart [117]

Answer:

  • Decay Problem.
  • Decay rate,  r = 0.014
  • Initial Amount =120,000
  • P(t)=120000(0.986)^t
  • P(10)=104,220

Step-by-step explanation:

The exponential function for growth/decay is given as:

P(t)=P_0(1 \pm r)^t, where:\\P_0$ is the Initial Population\\r is the growth/decay rate\\t is time

In this problem:

The city's initial population is 120,000 and it decreases by 1.4% per year.

  • Since the population decreases, it is a Decay Problem.
  • Decay rate, r=1.4% =0.014
  • Initial Amount =120,000

Therefore, the function is:

P(t)=120000(1 - 0.014)^t\\P(t)=120000(0.986)^t

When t=10 years

P(10)=120000(0.986)^10\\=104219.8\\\approx 104220 $ (to the nearest whole number)

8 0
3 years ago
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