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x 120°
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Answer:

F = 31

Step-by-step explanation:

70+50=125

180-125=55

the last angle of the triangle is 55.

The last angle of the triangle and the equation make up to 180 so.

55+4f+1=180

F=31

Answer:The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation:

Answer:

height = 13.86, or 8√3

Step-by-step explanation:

using the Pythagorean theorem:

h² = 16² - 8²

h² = 256 - 64

h² = 192

h = 13.86 ft or 8√3

Answer:

Farm c

Step-by-step explanation:

Farm C offers the lowest price for peaches at 70 cents per pound.

Answer:

[tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex]

Step-by-step explanation:

Given rational expression is,

[tex]\frac{2x^2+5x-14}{x-2}[/tex]

x - 2) 2x² + 5x - 14(2x + 9

         2x² - 4x

                  9x - 14

                  9x - 18

                          4

Therefore, [tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex] is the answer.

Answer: The answer is c

Explanation:

Answer:

G. <3 and <5 hope this helps

Answer:

G

Step-by-step explanation:

Question

To express ​7.5 % as a​ decimal, _______, ___________ and remove the percent sign.

▼ move the decimal point  [two] [three] [one] places to the [left] [right]

▼ leave the number as it is.

▼ remove the dollar sign.

▼ divide by 100.

Answer:

▼ move the decimal point  [two] places to the [left]

▼ divide by 100.  

Step-by-step explanation:

Given

[tex]Number = 7.5\%[/tex]

Required

Express as decimal [Select all correct options]

From the list of given options, the correct options are:

▼ move the decimal point  [two] places to the [left]

▼ divide by 100.  

To prove that the options are correct:

(1)

▼ move the decimal point [two] places to the [left]

7.5% becomes 0.075%

▼ Remove the percent sign

0.075% becomes 0.075

So:

[tex]7.5\% = 0.075[/tex]

(2)

Divide by 100

7.5% when divided by 100 is: 0.075%

Remove the % sign, we have: 0.075

Step-by-step explanation:

2(x+10)=60

x+10=60/2

x=30-10=20

Answer:

x = 7 cm

Step-by-step explanation:

12x9 + 3x = 129

108 + 3x = 129

3x = 21

x = 7 cm

The value of x will be;

⇒ x = 2.3 cm

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The shape has area 129 cm².

Now,

Since, The shape has area 129 cm².

And, The Length of the large rectangle = (12 + x) cm

And, The width of the rectangle = 9 cm

We know that;

The area of rectangle = Length × Width

⇒ 129 = (12 + x) × 9

⇒ 129/9 = 12 + x

⇒ 14.3 = 12 + x

⇒ x = 14.3 - 12

⇒ x = 2.3 cm

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Answer:

n ε{-2,-1,0} with n being integer

Answer:

Step-by-step explanation:

perp. -3

y - 1 = -3(x + 2)

y - 1 = -3x - 6

y = -3x - 5

Given:

44 cu. cm of wire is drawn into a wire of diameter 2 mm.

To find:

The length of the wire.

Solution:

We know that,

1 cm = 10 mm

1 cu. cm = 1000 cu. mm

We have, a wire of cylindrical shape.

Volume of the wire = 44 cu. cm

                                = 44000 cu. mm

Radius of the wire = 2 mm

Volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

Where, r is the radius and h is the height.

Putting V=44000, [tex]\pi=\dfrac{22}{7}[/tex] and r=2, we get

[tex]44000=\dfrac{22}{7}\times 2^2\times h[/tex]

[tex]44000\times \dfrac{7}{22}=4h[/tex]

[tex]14000=4h[/tex]

Divide both sides by 4.

[tex]\dfrac{14000}{4}=h[/tex]

[tex]3500=h[/tex]

Therefore, the length of the wire is 3500 mm or 350 cm.

Answer:

23

Step-by-step explanation:

Ryan needs to score a 23 this game because if you add all the numbers together (32 + 26 + 23 + 23) then divide them

(32 + 26 + 23 + 23)/4

You will get 23.

Answer:

23 points

Step-by-step explanation:

Let's first start out by first finding the current mean. We can find this by:

[tex]\frac{32+26+23}{4}=27.[/tex]

So we know that his current average is 27 points per game, and we need the average to be 26. So, to find out the total number of points he scores from his 1st, 2nd, 3rd, and 4th game, we will do:

[tex]26\cdot4=104[/tex]

So if he needs 104 points in total to have an average of 26. So, we would subtract his total number of points from his 1st, 2nd, and 3rd game, from 104. If we do this, we would get:

[tex]104-(32+26+23)=104-81=23[/tex]

So he would need to score 23 points next game to have an average of 26 points.

Answer:

b) 500

16x = (141)^2 - (109)^2

or, 16x = 19881 - 11881

or, x = 8000/16=500

Answer:

Try C it probably is your answer

Answer:

f(-1) = 1

Step-by-step explanation:

Are you missing a number after the negative in f(-)?

If so, let me solve for f(-1) so substitute in the n with a -1 so f(-1) = 5(-1) + 6

so f(-1) = -5 + 6 so f(-1) = 1

Answer:

16(x + 3)

4(7x + 8y)

w(11 + h)

Step-by-step explanation:

16x + 48

The greatest common factor of 16 and 48 = 16

Hence, expressing 16x + 48 in factored form:

16x + 48 = 16(x + 3)

28x + 32y

Greatest common factor of 28 and 32 = 4

Hence,

28x + 32y = 4(7x + 8y)

11w + hw

11w + hw = w(11 + h)

Answer:

5b

Step-by-step explanation:

Answer:

what sign is between 4b and 5b

Step-by-step explanation:

Answer:

A. 7/14, 2/5, 32%, and .25

Answer:

Here are what they equal in their simplest forms!

Step-by-step explanation:

Sin D & Cos E were originally equal to 13 -/3 over 26

-

Sin E & Cos D were originally equal to 13/26

-

Hope I was able to help!

Answer:

sin D = FE/DE = 13√3 /26 = √3 /2

sin E = DF/DE = 13/26 = ½

(sin E = cos D)

cos D = DF/DE = 13/26 = ½

cos E = EF/DE = 13√3 /26 = √3 /2

(sin D = cos E)

Answer:

There are 88 members.

Step-by-step explanation:

Let all the members of the band be ‘x’.

= 5/8 * x = 55

x = 88

Answer:

2 years

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year,

then, solving our equation

t = 84 / ( 600 × 0.07 ) = 2

t = 2 years

The time required to

accumulate simple interest of $ 84.00

from a principal of $ 600.00

at an interest rate of 7% per year

is 2 years.

Question 5

Flat fee = $6

Question 6

The group should charge $65 for 15 bags of leaves.

Question 7

The relationship between the amount charged and the number of bags filled is linear.

Answer:

1. B

2. A

3. C

Step-by-step explanation:

Answer:

sam 30, Bethan 24

Step-by-step explanation:

54/9 = 6

sam = 5 * 6 = 30

Bethan = 4 * 6 = 24

Answer:

y=15

Step-by-step explanation:

Since the triangles are similar you take 22/33 and 10/y then cross multiply and get 330=22y now divide 330 by 22 and you get 15

The value of x is 26.4 unit and y is 15 units,

Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.

Given:

As, the two triangles are similar then the ratio of their corresponding sides and angles are equal.

So, 22/ 10 = 33/ y

22y = 330

y = 330/22

y = 15

and, 22/10 = x/ 12

264 = 10 x

x= 26.4

Hence, the value of x is 26.4 unit and y is 15 units,

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Answer:

Weekly deposit= $18.42

Step-by-step explanation:

Giving the following information:

Number of weeks= 18

Total amount of money= $331.56

She deposited the same amount of money each week.

To calculate the weekly deposit, we need to divide the total savings by the number of weeks:

Weekly deposit= 331.56 / 18

Weekly deposit= $18.42