The number of measles cases increased 5.2% to 33 cases this year, what was the number of cases prior to the increase?

Answer:

LP = 15

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{LM}{LN}[/tex] = [tex]\frac{LQ}{LP}[/tex] , substitute values

[tex]\frac{4}{10}[/tex] = [tex]\frac{LQ}{LQ+QP}[/tex]

[tex]\frac{2}{5}[/tex] = [tex]\frac{LQ}{LQ+9 }[/tex] ( cross- multiply )

5LQ = 2(LQ + 9) = 2LQ + 18 ( subtract 2LQ from both sides )

3LQ = 18 ( divide both sides by 3 )

LQ = 6

Then

LP = LQ + QP = 6 + 9 = 15

Answer:

I think ∆5 is the correct Ans

Step-by-step explanation:

gjlhcohuguo

y.krgkyfjfhcxhhhxhhxfucuchhcjvgjjgvjvkvkx

Answer:

dddjshsbs zhzusushwbsgzyzhsbssbs s hsbd d dhd ssbshebebs shyshs s sbshss s s

Step-by-step explanation:

shshshsnsnsjzj shsjs s sjsn s s snsnsbzbznnz ssjs s snsnsmkzkxnz

Answer:

All you gotta do is go to "desmos" and type in all of the 4 solutions. A, B, C, and D. and see which answer matches the graph

Step-by-step explanation:

Step-by-step explanation:

Solution

First equation x ² - 4

= (x+2) (x-2)

Second equation = x ³ +8 + = x³+2^3

= (x-2) (x² + x₁2 +2²) = (x-2) (x² + 2x+4)

3 Third equation = x ² + 5x + 6

= x² + 6x= x +6 = x(x+6)-1(x+6)

(x-1) (x+6)

H.C. F= x-2

Answer:

[tex]f(x + 3) = {(x + 3)}^{3} [/tex]

Shifted left with x-intercept at (-3,0) and the y-intercept at (0,27)

Answer:

3.803% Profit

Step-by-step explanation:

First let us calculate total sales, then calculate the total cost, and then divide the two.

Sale: 120*1.1=132 and 52*.9=46.8

Cost: 120 and 52

Profit equation:

[tex]\frac{Net sales-COGS}{Net Sales} =Profit[/tex]

[tex]\frac{(132+46.8)-(120+52)}{(132+46.8)}[/tex]

Simplify:

[tex]\frac{6.8}{178.8} =.03803[/tex] or 3.803% Profit

Given:

The given equation is:

[tex]16-3p=\dfrac{2}{3}p+5[/tex]

To find:

The value of p.

Solution:

We have,

[tex]16-3p=\dfrac{2}{3}p+5[/tex]

Multiply both sides by 3.

[tex]3(16-3p)=3\left(\dfrac{2}{3}p+5\right)[/tex]

[tex]48-9p=2p+15[/tex]

Isolating the variable terms, we get

[tex]48-15=2p+9p[/tex]

[tex]33=11p[/tex]

Divide both sides by 11, we get

[tex]\dfrac{33}{11}=p[/tex]

[tex]3=p[/tex]

Therefore, the required solution is [tex]p=3[/tex].

Answer:

p=3

Step-by-step explanation:

i got it right on khan

Answer:

A trapezoid is a quadrilateral with exactly one pair of parallel sides. A pair of angles that share a base as a common side are called a pair of base angles. A trapezoid with the two non-parallel sides the same length is called an isosceles trapezoid.

Answer:

Value of given expression is 3⁻¹⁴

Step-by-step explanation:

Given expression:

3⁻⁸ x 3⁻⁴ x 3⁻²

Find:

Value of given expression

Computation:

⇒ 3⁻⁸ x 3⁻⁴ x 3⁻²

⇒ 3[⁻⁸⁻⁴⁻²]

⇒ 3⁻¹⁴

Value of given expression is 3⁻¹⁴

Step-by-step explanation:

here's the answer to your question

Answer:

x = 19

Step-by-step explanation:

6x+4 + 4x - 14 = 180

10x    - 10 = 180

10 X = 190

x = 19

9514 1404 393

Answer:

  A.  $674.43

Step-by-step explanation:

The account balance is given by ...

  A = P(1 +r/12)^(12t) . . . . . principal P invested at annual rate r for t years

  A = $500(1 +0.06/12)^(12·5) = $500(1.005^60)

  A ≈ $674.43

Answer:

Below

Step-by-step explanation:

From the graph the first local minimum is -16.18

The local maximum is 3.75

The second local minimum is -3.

Answer:

----------------------

Hope it helps..

Have a great day!!

Answer:

y = 3x+4

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

y = 3x+4

Answer:

2 Pieces can be cut

Step-by-step explanation:

We know that our sausage is 4/3 inches and we want to know how many 2/3 pieces can be cut. we start by examining our fractions.

4/3 & 2/3, since they have the same denominator we can simply divide the total length by how big each cut should be!

4/3 ÷ 2/3 = 2

Answer:

Cost with 45 songs: $46.75

Cost with s songs: $13 + (s * $0.75)

Step-by-step explanation:

First multiply the number of songs by the cost per song (45 * $0.75 = $33.75), then add the monthly service cost to that number ($13 + $33.75 = $46.75) to get the total monthly cost to Pedro.

Step-by-step explanation:

L.H.S

tanA * cosecA

=sinA/cosA * 1/sinA

now cancel sinA and sinA

then,

1/cosA

= secA

= RHS

hence proved

Answer:

30-5ab-14+6ab

16-ab ans

Answer:

[tex] \boxed{ab + 16} [/tex]

Step-by-step explanation:

5 (6 – ab) + 2 (-7 + 3ab)

[distribution property]

(6)(5) – (ab)(5) + (-7)(2) + (3ab)(2)

30 – 5ab – 14 + 6ab

[group like terms]

(6ab – 5ab) + (30 – 14)

ab + 16

Answer:

The answer is 12

Step-by-step explanation:

The range is the difference between the lowest and highest values. In this case, this means 142 - 130 which equals 12.

Answer:

12

Step-by-step explanation:

Range = Largest number - Smallest number

Larger number = 142 ; Smallest number = 130

142-130 = 12

Range = 12

Answer:

25%

Step-by-step explanation:

4+3+5=12

3/12 ×100=25

Answer:

D; 2 * 3; -4

Step-by-step explanation:

The dimension of the matrix refers to the number of elements in a row multiplied by the number of elements is a column

In a row, we have 2 elements, in a column , we have 3 elements

So the matrix is of 2 * 3 dimension

a21, refers to the element in the matrix that is in the row 2 column 1 and that is -4

I'm just going to start writing the email XD (btw, bold = non-email parts/me talking)

Hey (Friend name),

You kinda missed math the other day, and being the nice friend I am, I decided to catch you up on what we learned.

We learned how to solve a system of equations using the substitution method.

A system of equations is a set of two or more equations with common variables. We use those two equations to solve for the variables.

One example might be:

3x+y=3

4x+3y=10

Solving each of these two equations by themselves would be impossible, so this is where the substitution method comes in.

Solving by substitution means that you first solve one equation for a variable, and then you substitute the value of that variable into the other equation. You might understand better if you see how I use this method to solve the previous system.

Step 1: Solve for y.

 3x+y=3

 Subtract 3x from each side.

 y=3-3x

Step 2: Use the substitution method (plug in the y value).

 4x+3y=10

 4x+3(3-3x)=10

 See how we plugged in the right side of the equation that is equal to y? Now       only the x variable is left and we can easily solve it!

Step 3: Simplify to get x.

 4x+9-9x=10

 -5x=1

 x=-1/5

Step 4: Use the substitution method AGAIN (for the y).

 Now we plug in the x value into the equation for y.

 y=3-3x

 y=3-3(-1/5)

 y=3-(-3/5)

 y=18/5

The final answer is x=-1/5, y=18/5.

As you can see, using the substitution method to solve two impossible equations is how we can get the values of the variables they share! It's simple, quick, and easy!

Sincerely,

(your name)

I hope this helped! :D

Answer:

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========================================================

Explanation:

For any inscribed quadrilateral like this, the opposite angles are always supplementary. This means the angles add to 180

B+D = 180

(2x-1) + (3x-59) = 180

(2x+3x) + (-1-59) = 180

5x-60 = 180

5x = 180+60

5x = 240

x = 240/5

x = 48

Use this x value to find angle A

A = 2x+4

A = 2*48+4

A = 96+4

A = 100

This then means,

A+C = 180

C = 180-A

C = 180-100

C = 80 degrees

Side note: The term "cyclic quadrilateral" is the same as "inscribed quadrilateral".

Answer:

65°

Step-by-step explanation:

The sum of angles in a triangle =180

53°+62°+?°=180°

115°+?°=180°

?°=180°-115°

Rate the answer If you love everything I did n explanation

Answer:

65 degrees

Step-by-step explanation:

Angles in a triangle add up to 180, so 180 - 53 - 62 = 65.