If FGH=QRS, find the measure of Q.

By using Pythagoras theorem we can calculate length of YA and which will come out as,  5√3 units, So Option A is correct.

It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).

Pythagoras theorem,

H²  =  A² + B²

Given information,

The length of the side YZ is twice of the side AZ,

Given length of side YZ is, 10 unit

Therefore,  length of side AZ is, 5 unit

YA is altitude of ΔXYZ,

and ΔAYZ is a right angle triangle so we use Pythagoras theorem

YZ = H = 10

ZA = A  = 5

YA = B  = ?

100²  =  5² + B²

B = 5√3

Hence, the length of side YA is 5√3  unit

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Answer:

43 tickets

Step-by-step explanation:

50% of 86 (86 x .5) = 43

Answer:

43

Step-by-step explanation:

If in total you have 86 sold split to 50 and you get 43

Answer:

40%

[tex] \frac{2}{5} times \: both \: by \: 2 \frac{4}{10} = .4 = 40\%[/tex]

Answer:

its b for the both of them

Answer:

A. 275

Step-by-step explanation:

1= 100% So 2= 200%

1/4= 25% (Just like money) 3/4= 75%

200%+75%= 275

Hope this helps!!!! Have a great day!!!

Answer:

a

Step-by-step explanation:

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Answer:

C) (10,0)

Step-by-step explanation:

Option C is the correct answer.

Answer:

10x^3-34x^2+33x-7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given 1/2,5, and -2 as roots of the polynomial, the function in terms of x is expressed as;

P(x) = (x - 1/2)(x - 5)(x+2)

Expand;

(x - 1/2)(x - 5) = x²-5x -x/2 + 5/2

(x - 1/2)(x - 5) = x²-11x/2 + 5/2

P(x) = (x²-11x/2 + 5/2)(x+2) = x³+2x²-11x²/2-22x+5x/2 + 10

P(x) = x³-7x²/2-39x/2 + 10

Hence the required polynomial is x³-7x²/2-39x/2 + 10

Answer:lxl

Step-by-step explanation:

[tex]f(x)=-3x[/tex]

Substitute x = 5 in the equation.

[tex]f(5)=-3(5)\\f(5)=-15[/tex]

Therefore, the answer is -15 or last choice when x = 5.

Answer:

x=-61

Step-by-step explanation:

Answer:

-61

Step-by-step explanation:

6(x+11)=-300

6x+66=-300

6x=-366

x=-61

hope this is right

Answer:

a=10

Step-by-step explanation:

Answer:

50 + 10m = 25m

Step-by-step explanation:

Given that:

Samuel:

Stating shares = 50 shares plus 10 shares per month

Savanah :

Starting shares = 0 plus 25 shares per month

Let number of months = m

Samuel shares = savanna shares

50 + 10m = 25m

50 = 25m - 10m

50 = 15m

50 / 15 = m

Answer:

2.5, 2.75, 3.7, 4¾ (4.75), 5.5, 29/5 (5.8), 6, 21/4 (7)

Step-by-step explanation:

I converted the fractions into decimals to make it easier to order. Hope this helps.

Answer:

2x-4 is the slope

Step-by-step explanation:

the -4 is the y number. slope is rise/run so it goes up 2 over 1 making it 2x

Answer:

The amount of simple interest earned is $156.79

Step-by-step explanation:

Mathematically;

Simple interest = PRT/100

From the question;

P = $525

R = 5.5%

T ; to get this, we need to make the numbers agree;

We do this by dividing number of months by 12 and number of days by 365

So 5 years, 5 months and 5 days will be;

5 + 5/12 + 5/365 = 5.43

So, using this in the simple interest calculations, we have;

S.I = (525 * 5.5 * 5.43)/100

S.I = $156.79

Answer:

The answer is C because 11 cubed is 33 and 3 by the power of the square root of 11 is 33

Answer:

x = 6

y° = 125°

Step-by-step explanation:

9x + 1 and 7x + 13 are alternate angles and has same measurement

9x + 1 = 7x + 13

9x - 7x = 13 - 1

2x = 12

x = 6

y° and 7x + 13 are supplementary angles so their sum is 180°

7x + 13 ➡ 7×6 + 13 = 55°

55 + y° = 180 subtract 55 from both sides

y° = 125°

Answer:

Total distance travel = 8.60 miles

Step-by-step explanation:

Given:

Distance of 1st trail = [tex]5\frac{1}{4}[/tex] miles = 5.25 miles

Distance of 2nd trail = 3.35 miles

Find:

Total distance travel

Computation:

Total distance travel = Distance of 1st trail + Distance of 2nd trail

Total distance travel = 5.25 + 3.35

Total distance travel = 8.60 miles

The equation of the line is y + 40x = -78.

Here, we are given that a line passes through point (-2,-2) and is parallel to the line 5x - y = 45x.

when two lines are parallel their slopes are equal. So, let us first find the slope of  line 5x - y = 45x.

The standard form of the equation of a line is- y = mx + c, where m is the slope of the line.

Here 5x - y = 45x can be written as-

y = -40x

Thus, the slope of the line is -40.

Now we can use the point slope form to find the equation of our line.

According to the point slope form-

(y - y1) = m(x - x1)

here, x1 = -2 and y1 = -2

Thus equation becomes-

(y + 2) = -40 ( x + 2)

y + 2 = -40x - 80

y + 40x = -78

Thus, the equation of the line is y + 40x = -78

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Answer:

x = 100

Step-by-step explanation:

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Answer:

x=100

Step-by-step explanation:

Answer:Volume of Rock= 97.5ml

Step-by-step explanation:

STEP 1

Finding  the volume of rock using  the graduated cylinder that measures volume of liquid can be  done by determining how much water is being displaced by the rock after submersion.

Step 2

Volume of water  before adding rock = 200mL

Volume of water after adding the rock = 297.5mL

Volume of rock =Volume of water after adding the rock - Volume of water  before adding rock

Volume of Rock = 297.5-ml 200ml

= 97.5ml

Answer:

5

Step-by-step explanation:

16÷3=5r1. Hope this helps

Answer:

16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use PT to solve for the missing length.

Step 2: Identify Variables

Leg a = 12

Leg b = x

Hypotenuse c = 20

Step 3: Solve for x

Answer:

hi

Step-by-step explanation:hi

hi

The equation of the triangle's line of symmetry is Y= X+10.

Equation: The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Symmetry: Symmetry means that one shape is identical to the other shape when it is moved, rotated, or flipped. If an object does not have symmetry, we say that the object is asymmetrical. The concept of symmetry is commonly found in geometry.

Isosceles triangle is a triangle that has at least two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.

It is given that an isosceles triangle with sides A(-10,1) ; B (-6,3) ; C(-4,7) is drawn and we notice that, the mid point of AB is the perpendicular bisector of the line AB.

Mid point of AB = (-8,2)

Slope of AB = [(-10) - (-6)] / (1 - 3)

=> -4 / -2

=> 2

Slope of perpendicular bisector of AB = 1

Equation of the line of symmetry = (Y - 2) = 1 [X - (-8)]

=> Y - 2 = X + 8

=> Y= X+10

Therefore, the equation of the triangle's line of symmetry is Y= X+10.

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