Find the slope of the line:

Answer:

20 is the greatest common denominator. You can find this by listing the factors of each number. The highest number that can fit into both individual numbers is the common denominator. Since 40 is just 20 doubled, and 20 is just 20 once, it fits into both numbers and is also the highest number that can fit.

Answer:

D) 8

Step-by-step explanation:

We're looking for [tex]x[/tex], which means the 7x and 5x will have the SAME x.

7(8) = 56

For the C corner, it is cornered as a 90 degree angle, so that means the (7x) + 34 degrees NEEDS to equal 90.

7(8) = 56 + 34 = 90!!

Now we have to see if 5(8) is correct

5(8) = 40 + 50 [The degree mark] = WHICH EQUALS 90 TOO..

Therefore, the answer is D) 8

Answer:2/3

Step-by-step explanation: there is 2 yellow out of 3 butterfiles

Answer:

28 i think

Step-by-step explanation:

Answer:

{48, 64, 81}

Step-by-step explanation:

Step-by-step explanation:

a a reflex angle is more than 180° but less than 360° so in this case the reference angle of 95 degrees we are going to take 360° - 95 degrees to get255°

Answer: C

So I was right, I guess.

Answer:

(X+6)(x-5) + (X-5)(X+6)

Answer:

[tex]2x ^{2} - 22x + 60[/tex]

14: a

1

=

39

/2                              0.25               313%        16%

15:     54

Area of circle = pi × r squared

A= 3.14....× (1.5×1.5)

A= 7.068583471

A= 7.07in( to nearest hundredth)

Answer:

C

Step-by-step explanation:

EDGE 2021

Answer:

Part A

The two figures, ΔABC and ΔPQR are congruent by the SSS rule of congruency

Part B

The rigid motion that maps ΔABC to ΔPQR are a 180° clockwise rotation about the origin, followed by a horizontal shift of 1 unit to the right

Step-by-step explanation:

Part A

The given coordinates of the vertices of triangle ABC are;

A(-8, -2), B(-3, -6), C(-2, -2)

The length of side AB = √((-6 - (-2))² + (-3 - (-8))²) = √41

The length of side AC = √((-2 - (-2))² + (-2 - (-8))²) = 6

The length of side BC = √((-6 - (-2))² + (-3 - (-2))²) = √17

The given coordinates of the vertices of triangle PQR are;

P(9, 2), Q(4, 6), R(3, 2)

The length of side PQ = √((6 - 2)² + (4 - 9)²) = √41

The length of side PR = √((2 - 2)² + (3 - 9)²) = 6

The length of side RQ = √((6 - 2)² + (4 - 3)²) = √17

Given that the length of the three sides of triangle ABC are equal to the lengths of the three sides of triangle PQR, we have;

ΔABC ≅ ΔPQR by Side Side Side rule of congruency

Part B

Whereby AB and PQ, and BC and RQ are pair of corresponding sides, the rigid motion that maps ΔABC to ΔPQR are;

1) A 180° clockwise (or counterclockwise) rotation about the origin followed by

2) A shift of 1 unit to the right.

Answer:

x=6

Step-by-step explanation:

3x- 4=14

   +4 +4

    3x=18

      x=6

Answer:

I think the answer is 49in^2

Answer:

x = 5

x = 6

x = 10

Step-by-step explanation:

NOTE: IT HAS TO BE MORE THAN 5 OR EQUAL TO 5

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Answer:

82°

Step-by-step explanation:

(8x-7)=(x+16)

x+16+x=180

2x+16=180

2x=180-16

2x=164

2x/2=164/2

x=82°

Answer:

At 2 pm, the temperature was -9 degrees. If the temperature drops 8 degrees, what is the new temperature?

Step-by-step explanation:

sorry I can't delete it

Answer:

-15

Step-by-step explanation:

-7 Dropping 8 would be -15 because 8+7 is 15 but its negative so its -15 (im terrible at explaining)

Answer: x=15

Step-by-step explanation:Step 1: Cross-multiply.

5

4

=

x

12

(5)*(12)=x*(4)

60=4x

Step 2: Flip the equation.

4x=60

Step 3: Divide both sides by 4.

4x

4

=

60

4

x=15

Answer:

x=15

Complete question :

A chef at a restaurant uses 12 pounds of butter each day. About how many grams of butter does the chef use each day? use the conversion factors 16 oz/1 lb and 28.35 grams/1oz

Answer:

5,424 grams

Step-by-step explanation:

To convert using the conversion factor :

Number of pounds of butter * (16 oz/1) * (28.35) /1

Hence,

12 * 16oz/ 1 * 28.35/1

(12 * 16 * 28)

= 5,424 grams

Answer:

FV= $1,045.96

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $575.75

Number of periods (n)= 15*5= 60 months

Interest rate (i)= 0.12 / 12= 0.01

To calculate the future value (FV), we need to use the following formula:

FV= PV*(1+i)^n

FV= 575.75*(1.01^60)

FV= $1,045.96

Answer:

y=13 degrees

Step-by-step explanation:

This is an isosceles triangle, we know this because NO and NM are equal.

In an isosceles triangle, the base angles are congruent. In this case, they are angle NOM and angle NMO.

We also know that the sum of the interior angles of a triangle are equal to 180.

With this information, we can make an equation by gathering all the interior angles:

8y+2(3y-1)=180

Solve for y.

8y+6y-2=180

14y-2=180

14y=182

y=13

Answer:

$2.75

Step-by-step explanation:

9.50-20.50=11.00

11.00÷4=2.75

Answer:

2.75; 9.50 + 4x = 20.50

Step-by-step explanation:

First, lets write an equations: 9.50 + 4x = 20.50. Subtract 9.50 from 20.50, giving us: 4x = 11. Then divide 11 by 4, giving us x = 2.75. Each drink cost $2.75. To check this, plug in 2.75 for x in the original equations and you will get 20.50.

Answer:

2

Step-by-step explanation:

because if 10 is the whole line of the base at the bottom of the trapezoid

and 8 is the whole top 10-8=2

The number of flower arrangement and the costs are illustrations of linear equation

If Mrs. Dawson orders 1 small arrangement, it will cost $39 at either shop.

Represent the number of small arrangements with x, and the total cost with y.

Using the data from the question, we have:

Hampton Florist: y = 12x + 27.

Farid's Flowers: y = 32 + 7x

When both flower arrangements cost the same, we have the following equation

12x + 27 = 32 + 7x

Collect like terms

12x - 7x = 32 - 27

Evaluate the like terms

5x = 5

Divide both sides by 5

x = 1

This means that 1 small arrangement would cost the same in both flower shops

In (a), we have:

y = 12x + 27.

Substitute 1 for x

y = 12(1) + 27

y = 39

Hence, if Mrs. Dawson orders 1 small arrangement, it will cost $39 at either shop.

Read more about linear equations at:

https://brainly.com/question/14323743

Answer:

Step-by-step explanation:

4x - 12 = 11 - 3x

Bringing like terms on one side

4x + 3x = 11 + 12

7x = 23

x = 23/7

Answer:2008

Step-by-step explanation:

Answer:

Pounds of candy      Cost ($)       Cost/pound

1                                  $3                $3/1                                                  

3                                 $9                $3/1                                      

7                                 $21               $3/1                                                          

10                               $30              $3/1                                                      

Answer:

The pyramid with the greater volume has 5in^3 more sand

Step-by-step explanation:

Given

Pyramid A

[tex]B = 25in^2[/tex] -- Base Area

[tex]h = 9in[/tex] --- height

Pyramid B

[tex]B = 30in^2[/tex]

[tex]h = 7in[/tex]

See attachment for pyramids

The volume of a square pyramid is:

[tex]V = \frac{1}{3}Bh[/tex]

First, calculate the volume of pyramid A

[tex]V_A = \frac{1}{3} * 25in^2 * 9in[/tex]

[tex]V_A = 25in^2 * 3in[/tex]

[tex]V_A = 75in^3[/tex]

Next, the volume of pyramid B

[tex]V_B = \frac{1}{3} * 30in^2 * 7in[/tex]

[tex]V_B = 10in^2 * 7in[/tex]

[tex]V_B = 70in^3[/tex]

To calculate how much more sand the greater pyramid has, we simply calculate the absolute difference (d) between their volumes

[tex]d = |V_B - V_A|[/tex]

[tex]d = |70in^3 - 75in^3|[/tex]

[tex]d = |- 5in^3|[/tex]

[tex]d = 5in^3[/tex]