PQ is the perpendicular bisector of MN what is QN?

Answer:

x = 4, y = 8

Step-by-step explanation:

If the triangles are congruent by the HL Theorem, it means that the hypotenuse and one leg of the right triangle are congruent to the corresponding one leg and hypotenuse of the other.

Thus;

2x - 5 = y - 5 (Eqn 1) and

y - 3 = x + 1 (Eqn 2)

Thus:

Rewrite equation 1

2x = y - 5 + 5

2x = y

Substitute y = 2x in equation 2.

y - 3 = x + 1 (Eqn 2)

2x - 3 = x + 1

Collect like terms

2x - x = 3 + 1

x = 4

Substitute x = 4 in equation 1

2x - 5 = y - 5 (eqn 1)

2(4) - 5 = y - 5

8 - 5 = y - 5

3 = y - 5

3 + 5 = y

8 = y

y = 8

Answer:

0.8 = is the proberbilty of getting an even number and a heads when you flip a coin

0.25 = is the proberbility of getting a 2 or 4 out of the bag including 1 - 8

0.5 = the probability of drawing a yellow and green marble

1 =  the probability of drawing an even number or a number greater than 4

Im not really sure about the last one tho

Step-by-step explanation:

Answer:2730

Step-by-step explanation:

The number of ways we can choose three different numbers in order for a unique code for this case is 2730

We can use combinations for this case,

Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of [tex]^mC_k = \dfrac{m!}{k! \times (m-k)!}[/tex] ways.

If the order matters, then each of those choice of k distinct items would be permuted k! times.

So, total number of choices in that case would be:

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

Given that:

In a lock, the order of the way numbers are arranged matters.

Because of no repetition allowed, we can simulate this situation as:

The number of ways we can choose 3 numbers out of 15 numbers with order = The number of different ways we can choose three different numbers in order for a unique code.

And we have:

The number of ways we can choose 3 numbers out of 15 numbers with order = [tex]^{15}P_3 = \dfrac{15!}{(15-3)!} = \dfrac{15 \times 14 \times 13 \times 12!}{12!} = 2730[/tex]

Thus, the number of ways we can choose three different numbers in order for a unique code for this case is 2730

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Answer:

x = 75°

Step-by-step explanation:

Angle x and the angle measure 105° are same-side exterior angles. Same-side exterior angles are supplementary. Supplementary angles are angles measures that add up to 180°. So 180° - 105° = 75°.   x = 75°

Answer:

75

Step-by-step explanation:

180° - 105° = 75°. x = 75°

Answer:

A) 3.5 m

Step-by-step explanation:

3.5 x 2 = 7/2 = 3.5

Answer:

B

D

E

[tex]b. - ( - 5)^{2} + 50 = 25 \\ \\ d. \: - 5 < 0 \\ \\ e. \: 2( - 5) < 10[/tex]

Answer:

B and C

Step-by-step explanation:

Those 2 are the only ones that equal 5,-5

Answer:

3

Step-by-step explanation:

The base is the number below the exponent.

Answer:

Step-by-step explanation:

The possibility is 48/200

The probability of people preferred the new soft drink is 6/25.

To find the probability.

probability is the ratio of the number of favorable outcomes and the total number of possible outcomes.

Given that:

Total number of people taste test=200

Number of people who participated new soft drink=48

Number of people who participated old soft drink=112

Number of people who  participated could not tell any difference=40

So, the probability of people preferred the new soft drink=

favorable outcome/total number of outcome

probability of people preferred the new soft drink=48/200

probability of people preferred the new soft drink=6/25

So, the probability of people preferred the new soft drink is 6/25.

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There is 12 months in a year so you need to multiply 12 by 110 which is 1320

Your answer is: 1320 saved in one year

Hope this helped :)

Answer:

[tex](x-5)^{2} + (y+7)^{2} = 49[/tex]

Step-by-step explanation:

9514 1404 393

Answer:

  (x -5)^2 +(y +7)^2 = 49

Step-by-step explanation:

The equation of the circle with center (h, k) and radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

Putting (h, k) = (5, -7) and r = 7 into this form, your equation is ...

  (x -5)^2 +(y +7)^2 = 49

Answer:

I think this is the answer

[tex]f( - 9) = \frac{1}{3( - 9) {}^{2} } + 5 \\ = \frac{1216}{243} \\ = 5.0041[/tex]

Answer:

$995.04

Step-by-step explanation:

You pay $20.73 every month. $20.73 x 48 = $995.04

Answer:

i am going to assume that for interest you mean simple interest.

900*5%*4=180

180+900=1080.

if you mean compound interest...

900*(1+5%)^4=1094.0 (1.d.p)

Answer:

4.54

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 4

Substitute x and calculate:

Answer:

(B) The cost to rent a bike

Answer: the cost to rent a bike

Step-by-step explanation:

9514 1404 393

Answer:

  m∠Y = 40°

Step-by-step explanation:

The sum of complementary angles is 90°. If we let s and y represent m∠S and m∠Y, respectively, the angle measures in degrees satisfy ...

  s + y = 90

  (4y -110) +y = 90 . . . . . . . . substitute for s

  5y = 200 . . . . . . . . . add 110

  y = 40 . . . . . . . divide by 5

The measure of angle Y is 40°.

Answer:

13 square inches

Step-by-step explanation:

Add both values for the area together to get your answer

small one is

1*1=1 square inch

large one is

4*3=12 square inches

Answer:

13

Step-by-step explanation:

area of the polygon = area of a rectangle +area of the square

area of the polygon = 3*4 +1*1 = 12+1 = 13 in²

Answer:

The number is 52 or 25.

Step-by-step explanation:

The photo has the full solution

The number, when A two-digit positive number is such that the one's digit is 2.5 times as much as the ten's digit, is 25.

In other terms, an equation is a mathematical statement stating that "this is equivalent to that." It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.

Given:

A two-digit positive number is such that the one's digit is 2.5 times as much as the ten's digit,

Write the equations of the statement as shown below,

Assume the one's digit is x and the ten's digit is y then,

x = 2.5y

(10y + x) - (10x + y) = 27

Solve the above equation and find the value of x and y,

10y + x - 10x - y  = 27

-9x + 9y = 27

-x + y = 3

-2.5y + y = 3   (Plug value of x)

-1.5y = 3

y =  2

x = 2.5 × 2

x = 5

Number = 2 × 10 + 5 = 25

Thus, the number is 25.

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Answer: D. 10.200

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

x = 12.99

Step-by-step explanation:

Tan(33) = [tex]\frac{x}{20}[/tex]

Tan(33) * 20 = x

12.99 = x

Hope this helps!

9514 1404 393

Answer:

  -4

Step-by-step explanation:

The dot product is the sum of products of corresponding coefficients.

  u·v = (4)(-1) +(0)(2) = -4

  u·v = -4

Answer:

5.15m + 10.25 = 9.25m

Step-by-step explanation:

Tricia's savings can be calculated with her beginning amount, $10.25, plus a rate of $5.15 that is multiplied by the number of months she saves up, m.

Or, 10.25 + 5.15m.

Melanie saves $9.25 for her vacation, times the months that she saves up, m.

Or, 9.25m.

These two equations are equal to each other at a certain value of m, so our equation is-

5.15m + 10.25 = 9.25m

I hope this helps ^^ Good luck mate

Answer:

Step-by-step explanation:

its A

Answer:

Answer:

Step By Step:

Letter:A