Find the measure of FG.
Can someone help??

Answer:

8

Step-by-step explanation:

Find the smaller of 2 consecutive integers, x, if the sum of the smaller and 4 times the larger is 44.

Two consecutive integers are represented as:

Smaller integer = x ,

Larger Integer = x + 1

If the sum of the smaller and 4 times the larger is 44

x + 4(x + 1) = 44

x + 4x + 4 = 44

5x + 4 = 44

5x = 44 - 4

5x = 40

x = 40/5

x = 8

Therefore, the smaller of 2 consecutive integers which is x = 8

Answer:

x = 63

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable. (Also sorry I'm answering all these questions these are just some of my favorite math problems lol.)

Answer:

0.006 inches of rain

Step-by-step explanation:

0.003 multiplied by 2 equals 0.006

Answer:

0.006

Step-by-step explanation:

y = 0.003x

x = minutes of rainfall

y = 0.003(2)

y = 0.006

0.006 inches

Answer:

4/3v + 4 = 8

Step-by-step explanation:

The second option is the correct one because you will combine the like terms first.

Hope this helps, thank you !!

Answer:

15years

Step-by-step explanation:

Let the present age of sarita be x

Sarita father age = 49years

If  his father age is 4 years more than three times Sarita age, this is expressed as;

49  = 3x + 4

Sind x

3x = 49-4

3x = 45

x = 45/3

x = 15

hence present age of sarita is 15years

Answer:

27

Step-by-step explanation:

Answer:

Step-by-step explanation:

Shelter A has 500 beds and is 90% occupied.

Number of occupied beds:

The ratio of beds occupied in Shelter A to Shelter B is 15:16

Number of occupied beds in Shelter B is 480 which is 60% of total. Total number of beds is:

Answer:

Answer:there are 900 beds in shelter B

Step-by-step explanation:

Shelter A has a capacity of 300 beds and is 80% occupied. This means that the number of beds in Shelter A that would be

80/100 × 300 = 0.8 × 300 = 240 beds.

Let x represent the capacity of Shelter B. Shelter B is 45% occupied. It means that number of beds in Shelter B that would be occupied is

45/100 × x = 0.45 × x = 0.45x beds.

Total occupancy of shelter A and shelter B would be

240 + 0.45x

The ratio of the occupancy of shelter A to shelter B is 16:27

Total ratio of occupancy = 16 + 27 = 43

Therefore

27/43 × (240 + 0.45x) = 0.45x

27(240 + 0.45x) = 0.45x × 43 = 19.35x

6480 + 12.15x = 19.35x

6480 = 19.35x - 12.15x = 7.2x

x = 6480/7.2 = 900

Step-by-step explanation:

Answer:

The cosine of A is equal to [tex]\frac{3\sqrt{58}}{58}\\[/tex]

Step-by-step explanation:

Cosine is is calculated as adjacent over hypotenuse.  The line adjacent to A  is 3 in length.

So we can say that the cosine is equal to 3/√58, but need to multiply it by √58 / √58 to ensure we have a non-radical denominator

[tex]A = \frac{3}{\sqrt{58}}\\A = \frac{3\sqrt{58}}{58}\\[/tex]

Answer:

she has 90 feet of ribbon in total and she can cut 270 pieces

Step-by-step explanation:

there's 108 inches in 9 feet

108/4=27

now you have 10 rolls so multiply

27x10=270 ribbons

you have 10 rolls of 9 feet to make ribbons

10x9=90 feet

Answer:

1080 inches

Step-by-step explanation:

Answer:

40 degrees

Step-by-step explanation:

Because there are 180 interior angles in a triangle, you need one of the sides. If an angle's exterior is 40 degrees, we know that the interior angle is 140 degrees. This means that the sum of the other interior angles have to be 40 as 180-140 is 40.

If an angle's exterior is 40 degrees, we know that the interior angle is 140 degrees. This means that the sum of the other interior angles have to be 40 as 180-140 is 40°.

40 degrees is the sum of the measures of the corresponding remote interior angles.

Because there are 180 interior angles in a triangle, you need one of the sides. If an angle's exterior is 40 degrees, we know that the interior angle is 140 degrees. This means that the sum of the other interior angles have to be 40 as 180-140 is 40°.

To learn more about triangle theory, refer

brainly.com/question/25055291

#SPJ2

Answer:

Step-by-step explanation:

These triangles are similar triangles, so there is a number that you can multiply the sides of TUV to find the side lengths of QRS. looking at the triangle, the similar sides are RS being similar to UV and RQ being similar to UT.

If RS~UV, then there is a ratio between them. 54/36=1.5. The ratio is 1.5.

RQ~UT, and by a factor of 1.5, so divide RQ by the scale factor. 24/1.5=16. UT=16=x+5.

x+5=16, subtract 5 from both sides.

x=11

Answer:

A)58 degrees

Step-by-step explanation:

You can find the answer by taking the arccos of 8/15. This would give you approximately 57.77 which rounds up to 58.

Answer:

Step-by-step explanation:

inverses of common function

[tex] \therefore \: f ^{-1}(x) = -\frac{ 2}{3 - x} [/tex]

Answer:Its B. and D.

Step-by-step explanation:

Answer:

heyyyyyyyyyyyyyyy

Step-by-step explanation:

Answer:

Each child received .62 cent ($4.96) and there were .04 cent left over

Answer: Its the second one.

Step-by-step explanation:

Answer:

3?

Step-by-step explanation:

The sampling designs that use voluntary response sampling are #1, #2, #4, and#6.

The samples usually represent a "subset of Manageable size".

According to the question,

Participating in a online survey, online voting polls, and requesting for others to complete a survey are all sampling designs that use voluntary response samplings.

To learn more about  samples here

https://brainly.com/question/22805411

#SPJ2

Answer:

2,3, and 6

Step-by-step explanation: the other person is  wrong i just did it edge 2022

Answer:

y=5x-3

Step-by-step explanation:

slope intercept form=y=mx+b

so

2y-10x=-6

2y=10x-6

y=5x-3

Answer:

a.(10,23)

b.(7,30)

e.(20,20)

Step-by-step explanation:

We are given that

x=Width of garden

y=Length of garden

According to question

[tex]x\geq 5[/tex]

[tex]y\geq 20[/tex]

Perimeter of rectangle=[tex]2(x+y)[/tex]

Where x=Width  of rectangle

y=Length of rectangle

Fencing used =[tex]2(x+y)[/tex]

[tex]2(x+y)\leq 80[/tex]

First we change inequality  into equality

[tex]x=5[/tex]...(1)

[tex]y=20[/tex]...(2)

[tex]2(x+y)=80[/tex]

[tex]x+y=40[/tex]...(3)

Substitute x=0 in equation (3)

[tex]y=40[/tex]

Substitute y=0  in equation (3)

[tex]x=40[/tex]

Substitute x=0 and y=0 in equation (3)

[tex]2(x+y)\leq 80[/tex]

[tex]0\leq 80[/tex]

It is true. Therefore, the  shaded region below the line.

[tex]0\geq 5[/tex]

[tex]0\geq 20[/tex]

These are false equation .Therefore, the shaded region above the line.

Substitute x=5 in equation (3)

[tex]5+y=40[/tex]

[tex]y=40-5=35[/tex]

Substitute y=20 in equation (3)

[tex]x+20=40[/tex]

[tex]x=40-20=20[/tex]

Intersection point of equation (1) and (3) is (5,35) and intersect point of equation (2) and (3) is (20,20).

Now,

a.(10,23)

Substitute in

[tex]2(x+y)\leq 80[/tex]

[tex]2(10+23)\leq 80[/tex]

[tex]66\geq 80[/tex]

10>5 and 23>20

it satisfied all inequality.

Hence, it is a solution.

b.(7,30)

7>5

30>20

[tex]2(7+30)=74<80[/tex]

it satisfied all inequality.

Hence, it is a solution.

c.(18,25)

18>5

25>20

[tex]2(18+25)=86>80[/tex]

It does not satisfied third inequality

Hence, it is not a solution.

d.(8,35)

8>5

35>20

[tex]2(8+35)=86>80[/tex]

It does not satisfied third inequality

Hence, it is not a solution.

e.(20,20)

[tex]2(20+20)=80[/tex]

20>5

20=20

it satisfied all inequality.

Hence, it is a solution.

Answer: $397 every year

Step-by-step explanation:

Answer:

$552.90

Step-by-step explanation:

There are 52 weeks in a year

28,751/52= 552.9038462

since this is money you just round

Answer:

The y-intercept should be -3 since it is 4x-3 so no your friend is not right

Step-by-step explanation:

Answer:

yes

Step-by-step explanation: