What is the mode of the data set (30,28,30,45,40,37,35)
28
30
45
37

Answer:

Step-by-step explanation:

The sum of these angles must equal 360 degrees.

x+63+55=360

x+118=360

x=242

Answer:-4m+1/6

Step-by-step explanation:2/3(3m-2)-3/8(8m-2)

distribute

=(2/3(3m)+(2/3)(-2)+-6+3/2

=2m+-4/3+-6m+3/2

combine like terms:

=2m+-4/3+-6m+3/2

=(2m+-6m)+(-4/3+3/2)

=-4m+1/6

Answer:

y=-2/3x+11

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(7-5)/(6-9)

m=2/-3

m=-2/3

y-y1=m(x-x1)

y-5=-2/3(x-9)

y=-2/3x+18/3+5

y=-2/3x+6+5

y=-2/3x+11

Answer: 8

Step-by-step explanation:

4x8= 32

32x8= 256

256x8= 2048

Answer:

the triangles are congruent by ASA.

Answer:

Step-by-step explanation:

b is the independent variable.

m is dependent on b.

If 100 boxes are sold, the money collected is 30·100 = $3,000.

They collected $1530.

$1530 × (1 box)/($30) = 51 boxes sold

Answer:

2x+y= -2, x + 2y = 2

x+y=3 , 2x-8y = 19

6x^2+3y^2=12 , x +y = 2

Answer:

6,-3

Step-by-step explanation:

Answer:

(6,-3)

Step-by-step explanation:

I don't know how to explain it you got it right tho

Answer:

1,290,000

Step-by-step explanation:

hecker skills

Answer:

yes

Step-by-step explanation:

yes

Answer:

2×2×2×2×2×2 = 64

Raise 2 to the power of 6.

64

Step-by-step explanation:

Hope it is helpful....

Answer:

1/ 6

Step-by-step explanation:

Answer:

Option c

Step-by-step explanation:

-2x-10=-2(x+5)

Answer:

second is the answer okkkkkkkkkkkkkkkk

Answer:

p = 16x² + 38y

Step-by-step explanation:

x + 10y + x + 10y + 8x² - x + 9y + 8x² - x + 9y

Simplify:

16x² + 38y

good luck, i hope this helps :)

Step-by-step explanation:

You can find the area of a right triangle the same as you would any other triangle by using the following formula:

A = (1/2)bh, where A is the area of the triangle, b is the length of the base and h is the height of the triangle; However, with a right triangle, it's much more convenient in finding its area if we utilize the lengths of the two legs (the two sides that are shorter than the longest side, the hypotenuse and that are perpendicular to each other and thus form the right angle of the right triangle), that is, since the two legs of a right triangle are perpendicular to each other, when we treat one leg as the base, then, consequently, we can automatically treat the length of the other leg as the height, and if we initially know the lengths of both legs, then we can then just plug this information directly into the area formula for a triangle to find the area A of the right triangle.

For example: Find the area of a right triangle whose legs have lengths of 3 in. and 4 in.

Make the 4 in. leg the base. Since the two legs of a right triangle are perpendicular to each other, then the length of the other leg is automatically the height of the triangle; therefore, plugging this information into the formula for the area of a triangle, we have:

A = (1/2)bh

= (1/2)(4 in.)(3 in.)

= (1/2)(12 in.²)

A = 6 in.² (note: in.² means square inches)

Answer:

64

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

find the slope (1,1) and (2,3) do change in y over change in x then simplify

Answer:

2

Step-by-step explanation:

Find 2 easy-to-read points. Points that easy to read are on the intersection of grid lines.

For example, choose (1, 1) and (2, 3).

slope = rise/run

rise = difference in y

run = difference in x

Start at point (1, 1). To go to point (2, 3), first you go up 2 units. The difference in y is 2, so the rise is 2. Then you go 1 unit to the right. The difference in x is 1, so the run is 1.

slope = rise/run = 2/1 = 2

Answer: slope = 2

Answer:

Step-by-step explanation:

If Y and Z are points of tangency, then |XY| = |XZ|.

We have

[tex]|XY|=9a^2-30\\|XZ|=3a[/tex]

Domain

[tex]a>0[/tex]

Substitute

[tex]9a^2-30=3a\qquad|\text{subtract}\ 3a\ \text{from both sides}\\\\9a^2-3a-30=0\qquad|\text{divide both sides by 3}\\\\3a^2-a-10=0\\\\3a^2-6a+5a-10=0\\\\3a(a-2)+5(a-2)=0\\\\(a-2)(3a+5)=0\iff a-2=0\ \vee\ 3a+5=0\\\\a-2=0\qquad|\text{add 2 to both sides}\\a=2\\\\3a+5=0\qquad|\text{subtract 5 from both sides}\\3a=-5\qquad|\text{divide both sides by 3}\\a=-\dfrac{5}{3}<0[/tex]

Answer:

Scalene Traingle

Step-by-step explanation:

Because a scalene triangle has no congruent sides, but can be a right angle (90 degree)!

Answer:

17.25 ; 1:01:13 ; 4 hours 47 minutes, 38 seconds

Step-by-step explanation:

From the picture attached :

The shortest distance cycled :

17.25 < 25.80 < 27.42

Hence, shortest distance cycled is : 17.25

Shortest cycling time :

1:01:13 < 1:50:05 < 1:56:20

Hence, shortest distance cycled is : 1:01:13

Total cycling time:

1:01:13 + 1:50:05 + 1:56:20

1 + 1 + 1 = 3 hrs

01 + 50 + 56 = 107 = 107/60 = 1 hr 47 minutes

13 + 05 + 20 = 38 seconds

Total cycling time :

(3 + 1 hr 47 minutes + 38 seconds) = 4 hours 47 minutes, 38 seconds

Answer: b

Step-by-step explanation:

Answer:

-12.5%

-14.29%

Step-by-step explanation:

For #2:

Original price is $2.00, that price decreased by $0.25 is $1.75. First figure out what $0.25 out of $2.00 is as a percent:

0.25/2.00 = 0.125 = 12.5%

Then, since the price DECREASED by $0.25, the percent would be negative.

For #4:

Original price is $3.50, that price decreased by $0.50 is $3.00. Like #2, you need to figure out what $0.50 out of $3.50 is as a percent:

0.50/3.50 = 0.1429 = 14.29%

Then, since the price DECREASED by $0.50, the percent would be negative.

Answer:

219

Step-by-step explanation:

Just take 232 minus 13, you get 219

Answer:

219

Step-by-step explanation:

13+c=232

subtract 13 from each side

c=219

hope this helps :)

Answer:

c) 3x - 45 = 10

Step-by-step explanation:

[tex]\frac{1}{5}x-3=\frac{2}{3}\\\\\frac{1}{5}x-\frac{3*5}{1*5}=\frac{2}{3}\\\\\frac{x-15}{5}=\frac{2}{3}\\[/tex]

Cross multiply,

3*(x - 15) = 2*5

3*x - 3*15 = 10

3x - 45 = 10