find the value of X also show the process please..​

Answer:

Step-by-step explanation:

this is hard that I will say

I'm not sure if this is how you want it to be done.

Answer:

84

Step-by-step explanation:

70% of 120= 84

Answer:

LM = 22

Step-by-step explanation:

Tangents to a circle from an external point to the circle are congruent , that is

ML = JL , substitute values

7x - 6 = 3x + 10 ( subtract 3x from both sides )

4x - 6 = 10 ( add 6 to both sides )

4x = 16 ( divide both sides by 4 )

x = 4

Then

LM = 7x - 6 = 7(4) - 6 = 28 - 6 = 22

Step-by-step explanation:

[tex] \frac{ \frac{1}{5} }{2} = \frac{ \frac{1}{5} }{ \frac{2}{1} } [/tex]

Multiply means by means and extremes by extremes to get;

[tex] \frac{1}{10} \: \: \: meters[/tex]

Let's divide

Answer:

0.48911

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score, = 27.21 Ib

μ is the population mean = 26.86 lb

σ is the population standard deviation. = 12.82 lb

z = 0.027301

Probability value from Z-Table:

P(x<27.21) = 0.51089

P(x>27.21) = 1 - P(x<27.21) = 0.48911

The proportion of weeks in which the waste disposal facility is overloaded is

0.48911

Answer:

He has four outfits if he switches shirts once.

Answer:

26x - 14

Step-by-step explanation:

3x - 5 + 23x - 9

26x - 5 - 9

26x - 14

Answer:

26x - 14

Step-by-step explanation:

3x - 5 + 23x -9

3x +23x - 9 - 5

26x - 14

Answer:

( 1, -2)

step-by-step explanation:

if reflected over y-axis: use the formula: (x,y) → (-x,y)

then if translated 5 units horizontally, there will be change in x axis:

Answer:

Width = 3.75 feet

Length = 9.75 feet

Step-by-step explanation:

Given:

Length of fencing = 27 feet

Find:

Dimensions of the garden

Computation:

Assume

Width = x

So,

Length = x + 6

2(L+B) = Perimeter

2(x + x + 6) = 27

2(2x + 6) = 27

4x + 12 = 27

4x = 15

x = 3.75

Width = 3.75 feet

Length = 3.75 + 6 = 9.75 feet

Answer:

Step-by-step explanation:

The order of operations is the key to solving this problem.

The PEMDAS acronym stands for:

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

10+(28-8)÷4

First, solve parenthesis.

[tex]\sf{10+(28-8)\div4}[/tex]

[tex]\sf{28-8=20}[/tex]

Rewrite the problem down.

[tex]\sf{10+20\div4}[/tex]

Then, divide.

20/4=5

Rewrite the problem down.

10+5

Add.

[tex]\sf{10+5=\boxed{\sf{15}}[/tex]

So, the correct answer is 15.

I hope this helps you! Please let me know if my answer is incorrect.

Answer:

[tex]\displaystyle 15[/tex]

Step-by-step explanation:

[tex]\displaystyle Grouping\:Symbols \hookrightarrow G \\ Exponents, Indices, or\:Radicals \hookrightarrow E \\ Multiplication\:and/or\:Division \hookrightarrow M \\ Subtraction\:and/or\:Addition \hookrightarrow S \\ \\ 10 + (28 - 8) \div 4 \hookrightarrow 10 + 20 \div 4 \\ \\ \boxed{15} = 10 + 5[/tex]

By using GEMS, the result is fifteen.

I am joyous to assist you at any time.

Answer:

lemon pie is 7.5 and blueberry is 4.5

Step-by-step explanation:

Answer:

There will be 25 baskets each container 4 rolls and 1 pumpkin

Step-by-step explanation:

Rolls = 100

Pumpkins = 25

To make every basket to be exactly the same number of rolls and pumpkins,

Find the highest common factor of 100 and 25

100 = 1, 2, 4, 5, 10, 25, 50, 100

25 = 1, 5, 25

The highest common factor of 100 and 25 is 25

Rolls = 100

= 100/25

= 4

Pumpkins = 25

= 25/25

= 1

Therefore,

There will be 25 baskets each container 4 rolls and 1 pumpkin

Answer:

[tex]y = 0.5x + ( - 3)[/tex]

or

[tex]y = 0.5x - 3[/tex]

Answer:

I'd rather use an explicit rule for bigger values of n

Step-by-step explanation:

Suppose we have a sequence like:

6,14,22,30,..

And we wanted to calculate the 200th term. The recursive rule is:

[tex]a_n=a_{n-1}+8[/tex]

Since each term is 8 more than the previous term. If we wanted to caclulate the term n=200, we would need to go up to 200 one-by-one until reaching the desired value.

The explicit rule is:

[tex]a_n=6+8(n-1)[/tex]

To find the term for n=200, just substitute into the rule:

[tex]a_{200}=6+8(200-1)=1598[/tex]

Thus, I'd rather use an explicit rule for bigger values of n

Answer:

41.2

Step-by-step explanation:

By the alternate interior angles theorem, the angle of depression is congruent to the angle of elevation.

This means that tan(27)=21/x.

x(tan 27)=21

x=21/(tan 27), which is about 41.2

Answer:

74g:148g

Step-by-step explanation:

If the yogurt portion is 3, then your answer is 148g.

You have a total of 5 portions (2+3=5). Since all portions must be equal, you can divide the total (185g) by 5. That means each portion is 37g each. To find the total weight of the yogurt, we multiply by the number of portions, either 2 or 3. That would be your result.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can use the equation of a straight line to model the cost of servicing the car.

let the cost be y and the number of hours be x

and the charge per hour is m

y=mx+c

y=50x+25

given that the time is 3.45 hours it is assumed that the charge is for 4 hours since for a fraction of 0.45 hours we are charged $50

y=50(4)+25

y=200+25

y=$225

Answer:

Answer is in the picture bro.

Step-by-step explanation:

Answer:

a=-55

Step-by-step explanation:

-3=2+a/11

-3=1/11 a+2 simplify

flip

1/11 a+2=−3

1/11 a+2−2=−3−2  subtract 2

1/11 a=−5

11*(1/11 a)=(11)*(−5) multpily both sides by 11

a=-55

Answer:

I have no idea

Step-by-step explanation:

Answer:

The answer would be x = 20. First, you must set up a proportion, since you know that the two polygons are similar: 12/48 • 5/x. Then, you have to do cross multiplication which would result in 12x = 240. Afterwards, you must divide both sides by 12, giving you x = 20.

Answer:

See Below.

Step-by-step explanation:

Since ΔABC is an equilateral triangle, this means that ∠A, ∠B, and ∠C all measure 60°.

Furthermore, all sides of the triangle measure 2a.

We know that AD⊥BC. Since this is an equilateral triangle, any altitude will be a perpendicular bisector. Therefore, BD = DC, ∠CAD = 30° and ∠C = 60°.

Additionally, the measures of the segments are: BD = DC = (2a) / 2 = a.

Let’s use the right triangle on the right. Here, we have that DC = a and AC = 2a.

Recall that sine is the ratio of the opposite side to the hypotenuse. Therefore, sin(C) or sin(60°) will be AD / AC. We can find AD using the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

a is DC, b is AD, and c is AC.

Substitute in appropriate values:

[tex]a^2+(AD)^2=(2a)^2[/tex]

Solve for AD:

[tex]\displaystyle \begin{aligned} a^2+(AD)^2&=4a^2\\(AD)^2&=3a^2\\AD&=\sqrt{3a^2}=a\sqrt{3}\end{aligned}[/tex]

Sine is the ratio of the opposite to the hypotenuse:

[tex]\displaystyle \sin(C)=\sin(60\textdegree)=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]

Substitute:

[tex]\displaystyle \sin(60\textdegree)=\frac{AD}{AC} = \frac{a\sqrt{3}}{2a}[/tex]

Simplify. Hence, regardless of the value of a:

[tex]\displaystyle \sin(60^\circ)=\frac{\sqrt3}{2}[/tex]