If PQ = PQ, then PQ = PQ
Justify using a property of equality, property of congruence, definition, or postulate

Answer: -20

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Answer:

t= 3 sec

Step-by-step explanation:

v= 25 m/s

d= 75 m

t= ?

d=v t

75= 25 t

t= 3

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Answer:

Step-by-step explanation:

Let be [tex]y = k\cdot x +1[/tex] the expression of the line, where [tex]x[/tex] and [tex]y[/tex] are the independent and dependent variables, respectively. If we know that [tex]x = 2[/tex] and [tex]y = -7[/tex], the value of [tex]k[/tex] is:

[tex]-7 = 2\cdot k +1[/tex]

[tex]2\cdot k = -8[/tex]

[tex]k = -4[/tex]

The equation of the line is [tex]y = -4\cdot x +1[/tex], which is graphed below.

The graph of equation of given line attached below.

Given that equation of line is,

                       [tex]y=kx+1[/tex]

since, line passes through [tex]M(2,-7)[/tex].

Substitute point  in given equation of line.

                   [tex]-7=2k+1\\\\2k=-8\\\\k=-8/2=-4[/tex]

So that, equation of line becomes,   [tex]y=-4x+1[/tex]

Graph of equation of line attached below.

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Answer: 3x^3(x - 2)(x + 6)

Step-by-step explanation:

For this problem, you find a GCF first

The GCF in this case is 3x^3 since each term can be divided by both 3 and x^3

3x^3(x^2 + 4x - 12)

x * x = x^2

(-2 + 6) * x = 4x

-2 * 6 = -12

Since -2 and +6 work for the factors, the answer is 3x^3(x - 2)(x + 6)

Answer

Basically you need to know how many hours to work then I think it would help your problem.

Step-by-step explanation:

Answer:

since 4 is 132,then 8 is also 132( corresponding angle)

so,8+7=180( adjacent angle)

so,132+7=180

7=180-132

7=48

Answer:

B

Step-by-step explanation:

I did the quiz on Edg

Answer:

2:1

Step-by-step explanation:

Since there are 4 apples and 2 bananas, the ratio of apples to bananas will be 4:2

This needs to be simplified, since both numbers are divisible by 2:

4:2 will simplify to 2:1

So, in simplest form, the ratio of apples to bananas is 2:1

In this context, this means there are 2 apples for every 1 banana in the fruit bowl.

The ratio of the apples to bananas in the fruit bowl is 2:1.

A ratio in mathematics shows how many times one number is contained in another. For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.

Given that there are 4 apples, 5 oranges, and 2 bananas in a fruit dish. The ratio of apples to bananas will be 4:2 because there are 2 bananas and 4 apples.

This needs to be simplified since both numbers are divisible by 2:

4:2 will simplify to 2:1

Therefore, the ratio of apples to bananas in the fruit bowl is 2:1.

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Answer:

8/15 in fraction form

0.53 repeating in decimal form

Step-by-step explanation:

1/3 divided by 5/8 =

1/3 *8/5 =

1*8 over 3*5 = 8/15

Answer:  8/15

0.5333 continued

Step-by-step explanation:

1/3=0.333 continued

5/8=0.625

0.333 continued/0.625=0.5333 continued

or 0.5333 continued

Answer:

3 hours working on problems, 1 hour reading

Step-by-step explanation:

From the given information:

We learned that If Nick can attempt more than 15 problems in an hour, working on problems will helo and aid further his grade for that particular hour than reading would.

We know that the marginal gain for three hours is greater than 15. This implies that Nick would get better by spending 3 hours on problem-solving and the rest 1 hour on reading since the marginal gain for that an hour is one problem solved. Hence, it will be advisable to spend it on reading.

If the number is, say, N, then “10 less than twice the number” is 2N - 10.

Pretty simple. take the number given, multiply it by 2, then subtract 10 from the answer.

If N is 7, then “10 less than twice the number” is 2*7 - 10 = 14 - 10 = 4.

Answer:

7

Step-by-step explanation:

Step-by-step explanation:

The initial amount is 55 gallons, and the rate is -3 gal/min.  So using slope-intercept form, the equation is:

f(x) = -3x + 55

To find the inverse function, switch x and y, then solve for y.

x = -3y + 55

3y = -x + 55

y = (-x + 55) / 3

f⁻¹(x) = (-x + 55) / 3

Evaluated at x = 15:

f⁻¹(15) = (-15 + 55) / 3

f⁻¹(15) = 40 / 3

The original function told us number of gallons f(x) at time x.

The inverse function tells us time f⁻¹(x) at number of gallons x.

So there are 15 gallons in the tank after 40/3 minutes, or 800 seconds.

Answer:

$3.7625

Step-by-step explanation: I may be wrong but...

If you find 75% of $2.15 it is equal to $1.6125.

Since in "increases" we are going to add $1.6125 to $2.15.

You get the answer of $3.7625.

Answer:

5/2 hope this helps

Step-by-step explanation:

took it on apex :)

Answer:

Step-by-step explanation:

its has no solution i hope this helps

Answer:

The answer is D. and E.

Step-by-step explanation:

Answer:

[tex]\frac{5}{3}[/tex]

Step-by-step explanation:

If you would like me to explain let me know in the comments.

Answer:

7 meters

Step-by-step explanation:

Notice that the figure has already been labeled. The variable x is used to represent the unknown width of the path

It is given that the area of the pool and the path combined is  1144 square meters.

Notice that the length of the combined area is 30 +2x and the width of the combined area is 12+2x

Recall that the formula for the area of a rectangle is A = L* W

Use the figure and the information given to write an equation for the area of the pool and path combined.

(12+2x)(30+2x) = 1144

Thus, solve the equation (12+2x)(30+2x) = 1144. The solutions to this equation are the values of x that satisfy the condition given in the problem.

Begin by rewriting the equation in the standard form

ax^2 + bx + c=0 First, multiply the binomials on the left side of the equation using the FOIL method.

(12+2x)(30+2x) = 1144

4x^2 + 84x +360 = 1144

Then move all terms to the left side of the​ equation, obtaining zero on the right side.

4x^2 + 84x +360 = 1144

4x^2 + 84x -784 = 0

Now that the quadratic equation is in standard​ form, factor the quadratic completely.​ First, factor out the greatest common factor​ (GCF). Then factor the trinomial.

4x^2 + 84x -784 = 0

4(x^2 + 21x -196 = 0

4(x - 7) (x + 18) = 0

​Next, apply the​ zero-product principle and set each factor equal to 0. Solve each equation for x.

x - 7 = 0        or      x + 28 = 0

x = 7             or      x = -28

Remember that x represents the width of the path.​ Therefore, the proposed solution -28  does not make sense. The width of a path cannot be negative. Eliminate this proposed solution.

Check the solution -28 by substituting it into the original​ equation, (12+2x)(30+2x) = 1144 ​, and verifying that a true statement results.

The solution checks.​ Therefore, the width of the path is  7 meters.

Given problem;

   Inequality equation;

               [tex]\frac{x}{16}[/tex]   <   6

Before we solve, let us first translate this problem.

It simply states that for what value(s) of x will the expression be less than 6.

To find this value, we can simply carry out the normal mathematical simplification.

Simply multiply both sides by 16 to reduce the fraction;

      16  x ([tex]\frac{x}{16}[/tex])   <  6 x 16

 On the left hand side, 16 will cancel out;

                   x <  96

Any value for which x is less than 96 will make the solution of this problem less than 6.

For example, 95;

                       [tex]\frac{95}{16}[/tex]  = 5.93

This value is less than 6

Answer:

22cm by 6cm

Step-by-step explanation:

Width = x

Length = 3x + 4

x + x + 3x + 3x + 4 + 4 = 8x + 8

Perimeter = (8x + 8) cm

56 - 8 = 48cm

48/8 = 6

6 = x

Width = 6cm

Length = 22cm

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The required possible dimensions are the length of a rectangle is 22 cm and the width is 6 cm.

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle = 2(L+W)

Where W is the width of the rectangle  and L is the length of the rectangle

Let the width of the rectangle is x

So the length of the rectangle= 3x + 4

The perimeter of a rectangle = x + x + 3x + 3x + 4 + 4

The perimeter of a rectangle = 8x + 8

The perimeter of a rectangle = (8x + 8) cm

56 - 8 = 48cm

48/8 = 6

6 = x

So the width of the rectangle = 6 cm

So the length of the rectangle = 22cm

Thus, the required possible dimensions are the length of a rectangle is 22 cm and the width is 6 cm.

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Answer:

x=8

Step-by-step explanation:

you first have to multiply 3times3 and 3 times 4 to get the fraction off

then you bring down 4(x-3)=20

then you multiply 4 times x which you will get 4x then 4 times3 which equals 12 sso you will write it like this 4x-12=20

the you take -12 and add it to 20 and you will get 32

the you just divide 32 and 4 and it will give you the answer

to check it if its right you do 4(8-3)=20

Answer:

The correct answer is B

x=4

Step-by-step explanation:

3,085 + 3 = ..

= 3,000 + 85 + 3

= 3,088

B. The correct answer is b.  I just took it

Answer:

B.

Step-by-step explanation:

Answer: −2 1/8

Step-by-step explanation:

−45/8+3 1/2

=−45/8+3 1/2

=−45/8+7/2

=−17/8

=−2 1/8

Answer:

6x+5

Step-by-step explanation:

2x+4x =6x

10-5=5

6x+5

Answer:

x=3102.5/8.5 is your answer

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Answer:

B. 13.5 in^2

Step-by-step explanation:

Use the formula [tex]\frac{a+b}{2} h[/tex].

Step 1- Substitute into the formula.

[tex]\frac{a+b}{2} h[/tex]  =  [tex]\frac{4+5}{2} 3[/tex]

Step 2- Add to simplify

[tex]\frac{4+5}{2} 3[/tex] = [tex]\frac{9}{2}3[/tex]

Step 3- Divide

9/2= 4.5

Step 4- Multiply

4.5× 3= 13.5

B. 13.5 in^2

Answer:

a is 18    b is -90     c is 31      for the opposite

a is -18   b is 90      c is -31     for the opposite of the opposite