A. X=1
B. X=2
C. X=3
D. X=4
E. X=5
F. X=6

Answer:

100 degrees, 30 degrees

Step-by-step explanation:

Write an expression for the measures of the other two angles:

one angle = 3x

other angle = 10x

These are in the ratio 3:10, but you don't know the value of x YET!

Fact: all 3 angles sum to 180 degrees.

50 + 3x + 10x = 180

50 + 13x = 180

13x = 130

x = 10

Now plug this value into the two expressions for the angle measures.

one angle = 3(10) = 30 degrees

other angle = 10(10) = 100 degrees

Answer:

346.5 cm

Step-by-step explanation:

Answer:

137.5

Step-by-step explanation:

2 out of 20 = 2/20 which reduces to 1/10 which means 1 out of every 10.

I would expect 1 out of the next 10 to be chipped.

Answer:

1

Step-by-step explanation:

Answer:

Option C, Vanessa grows 1.2 inch per year

Step-by-step explanation:

Based on the given information it is clear that from 2005 to 2000 i.e in 5 years height of Vanessa has increased by 6 inch i.e from 48 inch to 54 inch.

If we estimate the per year growth, we can deduces that Vanessa grows by[tex]\frac{6}{5} = 1.2[/tex] inch.

Hence, option C is correct

Vanessa grows 1.2 inch per year

Answer:

[tex]C = 1000S + 500B[/tex]

Step-by-step explanation:

Given

[tex]S = Banana\ Splits[/tex]

[tex]B=Bacon\ Rolls[/tex]

Reading through the question, we have:

Number of calories per serving:

[tex]S \to 1000[/tex]

[tex]B \to 500[/tex]

Let

[tex]x = Cholesterol[/tex]

[tex]y =Sugar[/tex]

So, we have:

Each serving of S

[tex]x \to 1S[/tex]

[tex]y \to 3S[/tex]

Each serving of B

[tex]x \to 4B[/tex]

[tex]y \to 1B[/tex]

Recommendation

[tex]x \to \le 10[/tex] - i.e. not more than 10 units of cholesterol

[tex]y \to \ge 2 \& \le 9[/tex] i.e. At least 2units but not more than 9 units of sugar

So, the constraints are:

[tex]S + 4B \le 10[/tex]

[tex]3S + B \ge 2[/tex]

[tex]3S + B \le 9[/tex]

Recall that the calories per serving is:

[tex]S \to 1000[/tex]

[tex]B \to 500[/tex]

Hence, the objective function is:

[tex]C = 1000S + 500B[/tex]

Answer:

angle 2 is 104

angle 9 is 66

angle 10 is 114

angle 7 is 76

Step-by-step explanation:

Answer:

20.16

Step-by-step explanation:

hope it helps!!:)

Answer:

Kindly check explanation

Step-by-step explanation:

The prevalence per 1000 among the exposed :

Total number of diseases among those exposed = 60 + 238 = 298

Prevalence per 1000 among the exposed :

(298 / 9000) * 1000 = 33.11

Prevalence per 1000 among the non exposed :

((90 - 60) + (268 - 238)) / 3000

(60 / 3000) * 1000 = 20

Incidence rate per 1000 among the exposed :

238 / 5940 * 1000

0.0400673 * 1000 = 40.07

Incidence rate per 1000 among the unexposed :

((90 - 30) / (3000-30)) * 1000

(60/2970) * 1000 = 20.2

Answer:

84%

Step-by-step explanation:

The percentage of pink shirts

= 9/200 × 100%

= 9/2

= 4.5%

The percentage of orange shirts

= 69/600 × 100%

= 69/6

= 11.5%

The percentage of the shirts which are not pink or orange

= 1 - 4.5% - 11.5%

= 84%

Alternative

Find their common denominator.

9/200

= 9×3 / 200×3

= 27/600

The total percentage of shirts in pink and orange

= (27/600 + 69/600) × 100%

= 96/600 × 100%

= 16%

The percentage of the shirts which are not pink or orange

= 1 - 16%

= 84%

The table values with the function y = 5x - 1.

x      y

-1     -6

0      -1

1       4

2      9

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

y = 5x - 1

For x = -1,

y = -5 - 1 = -6

For x = 0,

y = - 1

For x = 1,

y = 5 - 1 = 4

For x = 2,

y = 10 - 1 = 9

Thus,

The table values are given above.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ2

Answer:

a

Step-by-step explanation:

Answer:

The pole is 6 feet tall.

Step-by-step explanation:

The height makes the perpendicular and the shadow makes the base of the triangle in the given question

                                Pole                       Mary

Height                         x                            4

Shadows                    15                           10

If the height is taken along y- axis and shadow is taken along x axis

Then

tan alpha = Perpendicular/ base

for Mary    Tan alpha = 4/10

For the pole = tan alpha = x/15

Comparing      x/15= 4/10

x= 4*15/10= 60/10= 6

The pole is 6 feet tall.

Answer:

16.9 in

Step-by-step explanation:

Answer:

B) 24

Step-by-step explanation:

A right triangle is 90°

90-42=48

48/2=24

Answer:

24°

Step-by-step explanation:

We know that it's a right angle. First, subtract 42 from 90 (90° is a right angle)

90 - 42 = 48

Now, since there's a 2x on the other side, we need to divide 48 by 2 to get the value of x:

48 ÷ 2 = 24

Therefore, x = 24°

Answer:

25 x 20 = 500

half of 25 = 12.5

12.5^2

156.25 x 3.14 = 490.625

490.625 divided by 2 = 245.3125

245.3125 + 500 = 745.3125 cm2 is your answer.

Answer:

y = 2x - 1.

Step-by-step explanation:

The slope = (7-3)/(4-2)

= 4/2

= 2.

y - y1 = m(x - x1)

Here m = 2 , x1 = 2 and y1 = 3. So we have:

y - 3 = 2(x - 2)

y = 2x - 4 + 3

y = 2x - 1.

We have used the point (2, 3) to find the equation but we could have used (4, 7). We would have got the same answer.

Answer:

y - 3 = 2(x - 2)

Step-by-step explanation:

As we move from Point B (2, 3) to Point A (4, 7), we see x increasing by 2 from 2 to 4 and y increasing by 4 from 3 to 7.  Hence the rise is 4 and the run is 2, which means that the slope of this line is m = rise / run = 4/2 = 2.

Using the point-slope formula y - k = m(x - h) and the point (2, 3), we get:

y - 3 = 2(x - 2)

Answer:

angle AOC = BOD            vertical angles

AO=BO                             bisected by CD

CO=DO                             biscted by BA

AOC =BOD                       SAS

Step-by-step explanation:

: D

Answer:

angle AOC = BOD            vertical angles

AO=BO                             bisected by CD

CO=DO                             bisected by BA

AOC =BOD                       SAS

Answer:

The time will be "3 years".

Step-by-step explanation:

The given values are:

Principle,

P = 5120

Amount,

A = 7290

Rate,

r = 12.5

Time,

n = ?

As we know,

⇒  [tex]A = P[1+\frac{r}{100} ]n[/tex]

On substituting the values, we get

⇒  [tex]7290=5120[1+\frac{12.5}{100} ]n[/tex]

On applying cross-multiplication, we get

⇒  [tex]\frac{7290}{5120}=[1+\frac{125}{100}\times 100 ]n[/tex]

⇒  [tex]\frac{9}{8}\times 3=[8+\frac{1}{8} ]n[/tex]

⇒  [tex]n = 3 \ years[/tex]    

Answer:

5x+2y+z

Step-by-step explanation:

just count all of the variables

Answer:

C

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

bigger triangle is the special 5 12 13

so the hypotenuse is 13

the smallest side is 5

and the medium side is 12

sincd the sides of the smaller triangle are 4 and 5

x must be 3 because of 3 4 5 triangles

Answer:

[tex]\frac{4}{6}[/tex]

Step-by-step explanation:

are there any choices?

Step-by-step explanation:

17x+4 is the answer hope this helps you

Answer:

Step-by-step explanation:

Volume = Length x width x height

length (10)

width (2)

height (5)

10 x 2 x 5 = 100

Area = Length x width

10 x 2 = 20ft

Answer:

g(x) : horizontal transformation to the left 1 unit and vertical transformation UP 5 units to f(x)

Step-by-step explanation:

g(x) : horizontal transformation to the left 1 unit and vertical transformation UP 5 units to f(x)