Enoch is two times as old as MARTIN.three years ago,the difference between their ages was fifteen years.find their present ages

Answer:

a = 9

Step-by-step explanation:

For solve the problem we can use the Pythagorean theorem in this way

a^2 + (3√3)^2 = (6√3)^2

If we solve the equation we have

a^2 + 27 = 108

a^2 = 81

a = +/-9

we take only the the positive value because a length can’t be negative

a = 9

Answer:

y = 2x + 3

Step-by-step explanation:

Answer:

Explanation:

since this triangle is a right-angled triangle and one its angles equals 45° then it's an isosceles right triangle which means that the side opposite 45° (the side to the left) is equal to 13 too.

so according to pythagoras theorem c = √(a²+b²)

x =√(13²+13²)

x = √(169+169)

x = √338

x ≈ 18.38

note: in the question it's mentioned to find y! and I believe it is just an error! it's about to find x and that's more resonable!

Answer:

3x²/(3x - 9y)

This should be the simplest form.

Step-by-step explanation:

Combine the fractions:

(5x² - 2x²)/((6x - 6y) - (3y - 3x))

Combine like terms:

3x²/(6x - 3x - 6y - 3y)

Solve.

3x²/(3x - 9y)

Answer:

9x^2      

======

6(x - y)

Step-by-step explanation:

Begin by switching the - to a plus. Switch the x and y in the second denominator.

5x^2              2x^2

=====      +    ======

6x - 6y          3x - 3y

Pull out the common factors in both denominators. Use the distributive property.

5x^2              2x^2

=====      +    ======

6(x - y)          3(x - y)

Multiply both the numerator and denominator by 2 on the left had fraction.

5x^2              2*2x^2

=====      +    ======

6(x - y)          2*3(x - y)

5x^2                4x^2

=====      +    ======

6(x - y)          6(x - y)

Put both numerators over a common denominator. Notice that the + sign shifts up.  It shifts up because both fractions have been changed to a common denominator.

5x^2        +        4x^2

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

          6(x - y)

Combine the two numerators since they are of the same power.

9x^2      

======

6(x - y)

Answer:

[tex]\boxed {\boxed {\sf D. \ x=20}}[/tex]

Step-by-step explanation:

If line m and line r are parallel, the two angles must be congruent, because they are alternate interior angles. Notice how the 2 lines and the transversal form a backwards "Z" and the angles are in the inner corners.

So, if the angles are congruent, we can set them equal to each other.

[tex]7x-115=3x-35[/tex]  

Now, solve for x by isolating the variable. First, move all the constants to one side and the terms with variables to another.

115 is being subtracted and the inverse of subtraction is addition. Add 115 to both sides.

[tex]7x-115+115=3x-35+115\\7x= 3x+(-35+115) \\7x=3x+80[/tex]

3x is being added and the inverse of addition is subtraction. Subtract 3x from both sides.

[tex]7x-3x=3x-3x+80 \\4x=80[/tex]

x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.

[tex]4x/4=80/4\\x=20[/tex]

If the lines are parallel, then x=20 so the angles are congruent.

Answer:

AC = 2

BC = [tex]2\sqrt{2}[/tex]

CD = 4

CF = 4

BD = [tex]2\sqrt{2}[/tex]

DE = 8

EF = [tex]4\sqrt{2}[/tex]

DF = [tex]4\sqrt{2}[/tex]

Step-by-step explanation:

Since all of these are isosceles triangles, it means both legs of every triangle are congruent to each other. So,

Given: AB = 2

Find:

AC = AB = 2

BC = [tex]2\sqrt{2}[/tex]

CD = 4

CF = CD = 4

BD = BC = [tex]2\sqrt{2}[/tex]

DE = 8

EF = [tex]4\sqrt{2}[/tex]

DF = EF = [tex]4\sqrt{2}[/tex]

Answer:

5/12

Step-by-step explanation:

Think SohCahToa

Soh- Sin: opposite/hypotenuse

Cah- CoSin: adjacent/hypotenuse

Toa- Tan: opposite/adjacent

Opposite: The length on the opposite side of the angle.

Adjacent: The length next to the angle.

Hypotenuse: The longest side of the angle.

Answer: x=4

Step-by-step explanation:

Since this is a rectangle we already know that all the angles are 90, so we can do this:

46+10x+4=90

50+10x=90

10x=40

x=4

Answer:

The possible locations are;

(3, 4), (3, 12), (7, 4), and (7, 12)

Please find attached the plot of the points created with Microsoft Excel      

Step-by-step explanation:

The given parameters of the plot of Oliver's backyard are;

The area of the right triangular plant bed Oliver wants to design, A = 8 yd²

The length of a/each unit of the plot = 1 yard

The location of one of the vertex of the right triangular area = (3, 8)

The location of the other vertex of the right triangular area = (7, 8)

We note that the area of a triangle, A = 1/2 × Base length, B × Height, h

Let the distance between the two plotted point represent the base length, 'B', therefore;

B = 7 - 3 = 4 (We subtract only the x-values (7 and 3) given that the y-values (8 and 8) are the same;

Therefore, the base length, B = 4 yards

A = 1/2 × B × h

∴ A = 8 yd.² = 1/2 × 4 yd. × h

h = 8 yd.²/ 2 yd. = 4 yd.

The height of the right triangle, h = 4 yd.

Therefore the possible locations of the last vertex the right triangle on the coordinate plane, given that the first two points are parallel with the x-axis, are points 4 units above or the y-axis value of the plotted points with the x-value of the last vertex being either 3, or 7 as follows;

(3, 8 ± 4) or (7, 8 ± 4) which give points, (3, 4), (3, 12), (7, 4), and (7, 12).

Answer:

3,4 7,4

Step-by-step explanation:

Answer:

[tex]volume = \pi {r}^{2} h \\ = \pi( {5}^{2} ) \times 6 \\ 150\pi \: cubic \: units[/tex]

Answer:

471

Step-by-step explanation:

Using Pi=3.14

First find the area of the bottom circle:

3.14*([tex]5^{2}[/tex])

=78.5

Then multiply the result by the height

78.5*6=471

therefore,

Volume of clylinder: 471 units squared

Please give me brainliest if corrrect :)

Answer:

Option (3)

Step-by-step explanation:

By the theorem, angle between two tangents intersecting each other outside the circle is half of the difference between intercepted arcs.

From the figure attached,

Two tangents CD and DE are intersecting each other at point D outside the circle A.

Two intercepted arcs are minor arc CE and major arc CBE,

Measure of arc CE = 112°

Therefore, measure of major arc CBE = 360° - 112°

                                                               = 248°

m(∠CDE) = [tex]\frac{1}{2}(\text{arcCBE}-\text{arcCE})[/tex]

                 = [tex]\frac{1}{2}(248-112)[/tex]

                 = [tex]\frac{1}{2}\times 136[/tex]

                 = 68°

Option (3) will be the correct option.

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

hope this helps you! have a great day

The solutions of the system of equations are x = 45 and y = 5.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

The system of equations,

x = 9y  .... (1)

x-5y=20 ......(2)

Substituting the value of x from the equation 1 to equation 2,

we get,

9y - 5y = 20

4y = 20

y = 5

Then, x = 5(9) = 45

Therefore, the solutions of the equations are x = 45 and y = 5

To learn more about the system of equation;

brainly.com/question/13729904

#SPJ2

Answer:

25.12 so the nearest 10 is 25.10

Solution :

It is given that the distance between the two lights is 30 feet.

The angle of elevation of the upper light from the boat, ∠ ABP = 32 degree

The angle of elevation of the lower light from the boat, ∠ ABQ = 14 degree

∴ ∠ PBQ = ∠ ABP - ∠ ABQ

              = 32 - 14

              = 18 degree

In triangle PAB

∠ PAB = 180 - (90 + 32)

           = 58 degree

Similarly in triangle AQB

∠ AQB = 180 - (90 + 14)

           = 76 degree

Now considering triangle PBQ and applying the sine theorem,

[tex]$\frac{PQ}{\sin 18}=\frac{BQ}{\sin 58}$[/tex]

we know PQ = 30 feet

∴ [tex]$BQ =\frac{\sin 58}{\sin 18} \times 30$[/tex]

        = 82.33 feet

Again taking the right triangle ABQ and applying sine theorem,

[tex]$\frac{BQ}{\sin 90}=\frac{AB}{\sin 76}$[/tex]

[tex]$\frac{82.33}{\sin 90}=\frac{AB}{\sin 76}$[/tex]

∴ [tex]$AB = 82.33 \times \sin 76$[/tex]

         = 79.88 ft

         = 80 feet

Answer:

z

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

H =V/(LxW)/3

H = 297/(9x9)/3

H = 297/(81)/3

H = 297/27

H = 11

Therefore, the height of the pyramid is 11ft square

Answer:

No, they cannot be becuase the points are too different- no same numerical

values.

Step-by-step explanation:

Answer:

D.4 3/4

Step-by-step explanation:

hope it helps you

Answer:

60

Step-by-step explanation:

210÷3.5=60

3.5x60=210

Hope this helps!

: )

946

Hope this helps o(*^▽^*)┛

Answer:

no

Step-by-step explanation:

Answer:

x = 8

z = 86

Step-by-step explanation:

6x + 46 = 13x - 10        (Because they're vertical angles)

6x - 13x = -10 - 46

-7x = -56

x = 8

6x + 46

6(8) + 46

94

z + 94 = 180

z = 86

Answer:

Option 2

Step-by-step explanation:

Answer:d

Step-by-step explanation:because that would come up with the most information from sciencetist and professors

Answer:

Probably B or A

Step-by-step explanation:

Because learning about stingrays asking a question like that can tell you how many are left and how long you have to study them while they are here. and A because you wanna get to know their surroundings and what's better for them in an environment before you actually get to know about the stingrays, studying the environment can give you an idea of what to look for when you are diving in the ocean. Meaning you know exactly what to look for when diving so you can get as much information as you need.

Answer:

Well if your on chrome book sign out and select add person and make your new email and password and you have a new account.

Step-by-step explanation:

Hope this helps and have a wonderful day!!!

Answer:

Account for what, brain ly

Step-by-step explanation:

step 1: Go to sign up

step 2: create a email

step 3: create password

Answer:

(2a+b)^2

4a^2 + 4ab + b^2

product=4

Answer:

Answer:

39.19 yards^2

25.15 yards

Step-by-step explanation:

To determine the squares square yards of carpet needed, we have to determine the area of the room

The room is shaped like a rectangle

area of a rectangle = length x breadth

5.7 x 6 7/8

To multiply, convert 6 7/8 to a  decimal

to do this, divide 7 by 8. Add the value gotten to 6

5.7 x 6.875 =39.19 yards^2

To determine the yards needed for the border, calculate the perimeter of the room

Perimeter = 2 x (length + breadth)

2 x(5.7 + 6.875) = 25.15 yards

Answer:

3/8 < 2/4

2/3 > 7/12

i could be wrong sorry

It should look like this:

Answer:

irrational

Step-by-step explanation:

[tex]\sqrt{18}[/tex] = [tex]\sqrt{9}[/tex] · [tex]\sqrt{2}[/tex] which is the same as 3[tex]\sqrt{2}[/tex]

3[tex]\sqrt{2}[/tex] divided by 3 equals [tex]\sqrt{2}[/tex], which is irrational