Solve for x.

7.82x+1.83<15.42

Enter your answer in the boxes to correctly state the solution. Round your final answer to the nearest hundredth.

x

Answer:

Step-by-step explanation:

By similar triangles law:-

[tex]\frac{24}{2x} =\frac{30}{x+6}[/tex]

[tex]24(x+6)=30(2x)[/tex]

[tex]24x+24(6)=60x[/tex]

[tex]24x+144=60x[/tex]

[tex]\frac{36x}{36x} =\frac{144}{36}[/tex]

[tex]x=4[/tex]

Since AB=x+6+2x

[tex]AB=3x+6[/tex]

Substitute value of x

[tex]AB=3(4)+6[/tex]

[tex]AB=12+6[/tex]

[tex]AB=18[/tex]

Therefore, the third side of ΔABC is 18.

~

Hope this helps!

Answer:

  (c)  All of the triangles are similar

Step-by-step explanation:

All of the triangles are similar by the AA similarity postulate.

__

Two angles of one triangle being the same as two angles of another triangle means all angles of the two triangles are the same. (Two angles define the third.) Triangles with congruent corresponding angles are similar.

Answer:

x = 5

Step-by-step explanation:

8x + 50 = 90

or, 8x = 90-50

or, 8x = 40

so, x = 5

Answer:

50 Days

Step-by-step explanation:

I'm not sure what the unit "p" is, but I believe it is pennies so. $40/0.80 gives you 50 which is the amount of days it would take for you to get to $40 if you receive 80 cents a day

Answer:

-10p/3+32-3/2^p

Step-by-step explanation:

Answer:

132.11

Step-by-step explanation:

7002 ÷ 53 = 132.11

Thus, The answer is 132.11

-TheUnknownScientist 72

Step-by-step explanation:

just multiply.

you apply a fraction to a quantity by multiplying the fraction with the quantity.

a.

2/3 of 3/4 = 2/3 × 3/4 = 6/12 = 1/2

b.

2/5 of 3/4 = 2/5 × 3/4 = 6/20 = 3/10

c.

2/5 of 4/5 = 2/5 × 4/5 = 8/25

d.

4/5 of 3/4 = 4/5 × 3/4 = 12/20 = 3/5

Answer:

Man up and ask her

Step-by-step explanation:

Answer:

96 cm

Step-by-step explanation:

for the triangles do 5×6×4

then divide it by 2 to get 60 then do 6×6 for the square to get 36. Add 36 and 60 together to get 96.

Answer:

the answer is 12.

Step-by-step explanation:

Hope this helps! :)

Answer:

20 ÷ [tex]\frac{5}{3}[/tex] = 12

Step-by-step explanation:

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

20 x 3 divided by 5 = 60\5

Thus, the answer to 20 divided by 5/3 in fraction form is:

[tex]\frac{60}{5} = 12[/tex]

Answer:

16 rows

Step-by-step explanation

48x10=480, then divide 480 by 30. 480÷30=16. So, there will be 16 rows.

The function gets shifted towards the left then the value of h must be negative. The correct option is B.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

Given

The function is  f(x) = |x – h| +  k

We know that if we subtract h from the variable the function gets shifted towards the right but in the graph, the function gets shifted towards the left then the value of h must be negative.

We know the coordinate of the vertex is (-1.5, -3.5). Then abscissa will satisfy the |x - h|.

h = -1.5

Thus, option B is correct.

More about the function link is given below.

https://brainly.com/question/5245372

Answer:

*

Step-by-step explanation:

Answers

8 x - 1/2 = -4 - middle line

-3/4 x 8 = - 6 - side line

-3/4 - - 1/2 = -1/4 - top line

-1/2 - 1/2 = -1 - vertical line

Answer:

x=-5, 5

Step-by-step explanation:

Because there is absolute value symbol and is equal to 5.

Answer:

Angle BOD

Step-by-step explanation:

Supplementary means they add up to 180 degrees and make a straight line :D

Ao option D is correct

Answer:

gcf:  Since

8

x

2

,

10

x

contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Steps to find the GCF for

8

x

2

,

10

x

:

1. Find the GCF for the numerical part

8

,

10

2. Find the GCF for the variable part

x

2

,

x

1

3. Multiply the values together

Find the common factors for the numerical part:

8

,

10

The factors for

8

are

−

8

,

−

4

,

−

2

,

−

1

,

1

,

2

,

4

,

8

.

Tap for more steps...

−

8

,

−

4

,

−

2

,

−

1

,

1

,

2

,

4

,

8

The factors for

10

are

−

10

,

−

5

,

−

2

,

−

1

,

1

,

2

,

5

,

10

.

−

10

,

−

5

,

−

2

,

−

1

,

1

,

2

,

5

,

10

List all the factors for

8

,

10

to find the common factors.

8

:

−

8

,

−

4

,

−

2

,

−

1

,

1

,

2

,

4

,

8

10

:

−

10

,

−

5

,

−

2

,

−

1

,

1

,

2

,

5

,

10

The common factors for

8

,

10

are

−

2

,

−

1

,

1

,

2

.

−

2

,

−

1

,

1

,

2

The GCF for the numerical part is

2

.

GCF

Numerical

=

2

Next, find the common factors for the variable part:

x

2

,

x

The factors for

x

2

are

x

⋅

x

.

x

⋅

x

The factor for

x

1

is

x

itself.

x

List all the factors for

x

2

,

x

1

to find the common factors.

x

2

=

x

⋅

x

x

1

=

x

The common factor for the variables

x

2

,

x

1

is

x

.

x

The GCF for the variable part is

x

.

GCF

Variable

=

x

Multiply the GCF of the numerical part

2

and the GCF of the variable part

x

.

2

x

Step-by-step explanation:

Answer:

2x

Step-by-step explanation:

math guys

Answer: 2.3c-13.4

Step-by-step explanation:

We can combine the constants and c's separately. We first do -6.5-5.1-1.8 which equals -13.4 and add that to 2.3c to get 2.3c-13.4

Answer:

Step-by-step explanation:

it’s actually-4.2c-69 :)

Answer:

50

Step-by-step explanation:

Answer:

x = -3 y = -8 (-3,-8)

Step-by-step explanation:

first you would subsitute the y with (2x-2) in -3x+4y=-23 as y=2x-2

giving you-3x+4(2x-2)=-23

next you distribute the 4 to (2x-2) leaving you with -3x+8x-8=-23

then add -3x+8x to get 5x, having 5x-8=-23

add 8 to both sides canceling out 8 on one side and adding 8 to the other leaving you with 5x=-15 then you divide 5 from 5x to both sides leaving you with x = -3

next is y since you have x you would substitute the x in y=2x-2 with -3 getting y=2(-3)-2 then you multiply the 2 and -3 so you have y=-6-2 then you subtract those getting y = -8

Answer: 60

Step-by-step explanation:

x%30 = 18

x = 18 * 100 / 30 = 18 * 10 / 3 = 60

[tex](2\sqrt{7}+3\sqrt{6})(5\sqrt{2}+4\sqrt{3}) \\\\\\ \begin{array}{lllllll} 10\sqrt{14}&+&15\sqrt{12}&+&8\sqrt{21}&+&12\sqrt{18}\\\\ &&15\sqrt{2^2\cdot 3}&&&&12\sqrt{3^2\cdot 2}\\\\ &&15\cdot 2\sqrt{3}&&&&12\cdot 3\sqrt{2}\\\\ &&30\sqrt{3}&&&&36\sqrt{2}\\\\ 10\sqrt{14}&+&30\sqrt{3}&+&8\sqrt{21}&+&36\sqrt{2}\\\\ 10\sqrt{14}&+&8\sqrt{21}&+&30\sqrt{3}&+&36\sqrt{2} \end{array}[/tex]

Answer:

A

Step-by-step explanation:

For a right triangle, one of tha angles must be 90degrees. For the given right angles, the measure of its acute angles are 30, 60 and 90degrees respectively

Triangle is a 2-D shape that has 3 sides and angles. Some of the types of triangle include:

For a right triangle, one of tha angles must be 90degrees. For the given right angles, the measure of its acute angles are 30, 60 and 90degrees respectively

Learn more on right angles here: https://brainly.com/question/24323420

#SPJ2

Answer:

the first one is a square and the second is a parallelogram and the third is rectangle,fouth is rhombuse and last one is trapizoid

Step-by-step explanation:

Answer:

71

Step-by-step explanation:

Mean  57

Median 55

Range 71

Answer:

71

Step-by-step explanation:

Because range is biggest number-smallest number

Biggest number=98

Smallest number=27

98-27=71

have a great day :}