Plz help!!! (Picture included)

[tex]\large\boxed{\pink{\sf \leadsto Value \ of \ LM \ is \ 11 \ units . }}[/tex]

A figure is given to us in which we can see two triangles one is ∆ MPL and other is ∆MPN .

Figure :-

[tex]\setlength{\unitlength}{1 cm}\begin{picture}(12,12)\linethickness{0.25mm}\put(0,0){\line(1,2){2}} \put(0.001,0){\line(1,0){4}}\put(2,0){\vector(0,1){5}}\put(4,0){\line( - 1,2){2}}\put(0,-0.4){$\bf L $}\put(2,-0.4){$\bf P$}\put(4,-0.4){$\bf N $}\put(2.2,4){$\bf M $}\put(2.8, - .4){$\bf 5 $}\put(1, - .4){$\bf 5 $}\put(3.4, 2){$\bf 11 $}\put(2.3,0){\line(0,1){.3}}\put(2.3,.3){\line( - 1,0){.3}}\end{picture}[/tex]

[tex]\underline{\blue{\sf In\: \triangle MPL \ \& \ \triangle MPN :- }}[/tex]

[tex]\qquad \bullet LP = PN = 5 \:\:(given) \\\\\qquad \bullet MP = MP \:\:(Common) \\\\\qquad \bullet \angle MPN = \angle MPL = 90^{\circ} \:\: (given) [/tex]

Hence by SAS congruence condition ,

[tex]\orange{\bf \triangle MPL \cong \triangle MPN }[/tex]

Hence by cpct ( Corresponding parts of congruent triangles ) we can say that , LM = NM = 11 units .

Answer:

4+11a+8b

Step-by-step explanation:

1) 4+3a+2b+6b+5a+3a

2) 3a+3a+5a=11a. 2b+6b=8b

think of it as half a circle which all equals up to 180 degrees

subtract 180 degrees with 62 degrees which 62 degrees is in the problem.

180-62=118 degrees

so your answer is C) 118 degrees

hope that helped you out:)

Please mark my answer brainiest

Answer:

Interest = Principal x rate x time

I = 25000(.029)(5) = $3,625

Step-by-step explanation:

Answer:

5485/45

Step-by-step explanation:

Answer:

3/5 3/4

3/5*4/3=12/15=4/5

4/5 cups of water

because 4/3 is the reciprocal of 3/4 and so 3/4*4/3=1

Answer:

x=-2500

Step-by-step explanation:

[tex]\sqrt{-4x} =100\\\\(\sqrt{-4x})^2=100^2\\\\-4x=10,000\\\\x=-\frac{10000}{4}\\\\x=-2500[/tex]

The given can be solved by simplifying the equation to make x the subject

of the equation.

Reasons:

The equation is; √(-4·x) = 100

The above equation can be expressed as follows;

By squaring both sides, we get;

[tex]\displaystyle \mathbf{ \left(-4 \cdot x \right)^{\frac{1}{2} \times 2 }} = 100^2[/tex]

Which gives;

[tex]\displaystyle \left(-4 \cdot x \right)^{\frac{1}{2} \times 2 } = \left(-4 \cdot x \right)^{1 }= -4 \cdot x = 100^2[/tex]

[tex]\displaystyle -4 \cdot x = 100^2 = 100 \times 100 = \mathbf{10,000}[/tex]

[tex]\displaystyle -4 \cdot x = 10,000[/tex]

Dividing both sides by -4 gives;

[tex]\displaystyle x = \mathbf{ \frac{10,000}{-4} } = -2,500[/tex]

Therefore'

x = -2,500

Learn more about solving equations here:

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Answer:

The answer is x = 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The required correlation of the data is given by -0.5. Option C is correct.

Given that,
To determine the approximate correlation of the data shown,

A statistical measure known as correlation expresses how closely two variables are related linearly.

here,
Draw a constant line from the first point to the last point,
Which shows a decreasing slope of -0.5. So it is the approximate correlation of the data given.

Thus, the required correlation of the data is given by -0.5. Option C is correct.

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Answer:

300 min or 5 hours

Step-by-step explanation:

so if it pumps 0.5 gallons per minute than in 2 minutes it would pump 1 whole gallon so with that we know 1gallon=2 minutes.

so with that we multipy both sides by 150 which will be 150 galons=300 minutes or 5 hours

Answer:

We conclude that:

Step-by-step explanation:

From the given function g(x)

g(x) =   -1   if -2 < x ≤ -1

           0   if  -1 < x ≤ 0

            1    if  0 < x ≤ 1

            2   if  1 < x ≤ 2

When x = -1, then the correct value of g(-1) will be:

g(-1) = -1

The reason is that the output value of -1 includes the value of x = -1 in the interval, as  -1  if -2 < x ≤ -1 .

When x = -0.25, then the correct value of g(-0.25) will be:

g(-0.25) = 0

The reason is that the output value of 0 includes the value of x = -0.25 in the interval, as  0   if  -1 < x ≤ 0

When x = 2, then the correct value of g(2) will be:

g(2) = 2

The reason is that the output value of 2 includes the value of x = 2 in the interval, as 2   if  1 < x ≤ 2.

Therefore we conclude that:

Answer:

a) $420 b) $399

Step-by-step explanation:

a) $600 = 100%

$60 = 10%

$60 times 3 gives 30% = $180

$600 - $180 = $420

b) $420 = 100%

$42 = 10%

$21 = 5%

this means, they profitted by $21.

so $420 - $21 = $399

therefore, $399 is the cost price

Answer:

42, 122, 202,

Step-by-step explanation:

.................

Answer:

42, 122, 202

Step-by-step explanation:

The sequence is going up by 20s.

Answer: Z

I hope this helps !!

Answer:

I Believe Its Eight Squares

There are 450 triangles, we can pick that do not form an equilateral triangles when 15 dots are evenly spaced on the circumference of a circle.

An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a "regular" triangle.

here, we have,

Let's calculate the total no. of possible triangles, it depends on the combination. To make a triangle, we have to choose 3 dots out of 15.

Here, we will use the combination rule to find out the possible triangles,

Thus, the total number of possible triangles = 15C3                                                                      = (15.14.13) / (1.2.3) = 455

Note that an equilateral triangle would be formed by connecting 3 equally spaced dots.

For an equilateral triangle, out of 15 dots, there would be 15 - 3 = 12 dots that will not be connected.

And 12/3 = 4 dots would be between any two connecting dots.

Taking 1st connecting dot, the second connecting dot would be

1 + 4 + 1 = 6th

Similarly, the third connecting dot would be 6 + 4 + 1 = 11th

So, the following connecting dots will form equilateral triangles: (1, 6, 11); (2, 7, 12); (3, 8, 13); (4, 9, 14); (5, 10, 15);

After applying the combination rule we found the total number of the possible triangle and there are 5 equilateral triangles:

So, there are 455 - 5 = 450 triangles that are not equilateral triangles.

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Complete question;

fifteen dots are evenly spaced on the circumference of a circle. how many combinations of three dots can we pick from these 15 that do not form an equilateral triangle?

Answer:

20

Step-by-step explanation:

20 may be answer for this may be

Answer:

f(6) = 32

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 2/3x² + 8

f(6) is x = 6

Step 2: Evaluate

Answer:

f(6)= 72

Step-by-step explanation:

f(6)= 72

to evaluate:

substitute x = 6 into

f(x)f(6)= 23 × (6) 2 + (8×6)×x = 231 × 3612+ 48

Answer:

Step-by-step explanation:

Answer:

it is decreasing

Step-by-step explanation:

Answer:

Its obviously decreasing

Step-by-step explanation:

Answer:

The correct answer is 5

Step-by-step explanation:

Answer:

a. 48 salads were bought on Wednesday

b. 42 chickens were bought on Thursday

c. 39 cheese were bought on Friday

Step-by-step explanation:

Given

[tex]------- M -- T - W -- T -- F[/tex]

Cheese ----- 50 -- 45 - 52 - 47 --39

Salad -------- 61 -- 44 - - 48 - 38 -- 51

Chicken ---- 53 -- 46 - - 39 - 42 -- 52

First, it should be noted that the horizontal data represent the row while the vertical data represent the column.

Having said that, the solution is as follows:

Solving (a): Second Row, Third column

The data at the second row are:

[tex]------- M -- T - W -- T -- F[/tex]

Salad -------- 61 -- 44 - - 48 - 38 -- 51

The data at the third column is then limited to:

------------------W

Salad -------- 48

So the number at this position implies that: 48 salads were bought on Wednesday

Solving (b): Third Row, Fourth column

The data at the second row are:

[tex]------- M -- T - W -- T -- F[/tex]

Chicken ---- 53 -- 46 - - 39 - 42 -- 52

The data at the fourth column is then limited to:

------------------- T

Chicken ---- 42

So the number at this position implies that: 42 chickens were bought on Thursday

Solving (c): First Row, Fifth column

The data at the first row are:

[tex]------- M -- T - W -- T -- F[/tex]

Cheese ----- 50 -- 45 - 52 - 47 --39

The data at the fifth column is then limited to:

------------------F

Cheese ----- 39

So the number at this position implies that: 39 cheese were bought on Friday

Answer:

c

Step-by-step explanation:

Answer:

a. This function therefore exhibits a constant return to scale.

b. The reason is that the sum of the exponents of the multiplicative factor a is equal to 1.

Step-by-step explanation:

The given production function is first correctly stated as follows:

Q = A L^½ K^½ .......................... (1)

In order to know the returns to scale this function exhibits, the input K and L are scaled by the multiplicative factor a which is included in equation (1) as follows:

Q = A (aL)^½ (aK)^½

Q = A a^½L^½ a^½K^½

Q = A a^½ a^½ L^½  K^½

Q = A a^(½+½) L^½  K^½

Q = A a^1 L^½  K^½ ......................... (2)

Based on the equation (2), we now answer the following questions:

a. What returns to scale, does this function exhibit?

This function therefore exhibits a constant return to scale.

b. Why?

The reason is that the sum of the exponents of the multiplicative factor a in equation (2) is equal to 1.

Answer:

Number of children bicycles = 117

Step-by-step explanation:

Given that:

Number of adult bicycles = a =  42

Let,

x represent the number of children bicycle

According to given statement;

The number of children bicycle is nine less three times the number of adult bicycles.

x = 3a - 9

Putting a=42

x = 3(42)-9

x = 126-9

x = 117

Hence,

Number of children bicycles = 117

Answer:

area

Step-by-step explanation: