Whitney has 13 blue envelopes. She has 11 fewer yellow envelopes than blue envelopes. She has 3 times as many green envelopes as yellow envelopes. How many envelopes does Whitney have in all?

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.

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

946

Hope this helps o(*^▽^*)┛

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:

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:

Answer:

60

Step-by-step explanation:

210÷3.5=60

3.5x60=210

Hope this helps!

: )

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:

5

Step-by-step explanation:

10x^2=50x

10x=50

x=5

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:

here ya go bruv:

Step-by-step explanation:

:3

Answer:

The graph, with the answers, is in the picture below.

Step-by-step explanation:

−2x + 6y = 12

Slope:  [tex]\frac{1}{3}[/tex]    y-intercept: (0, 2)

LINE COLOR: RED

x − 3y = 3  

Slope:  [tex]\frac{1}{3}[/tex]   y-intercept: (0, −1)

LINE COLOR: BLUE

slope: -4/5

y-int: 4

y=-4/5x+4

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:

68/99

Step-by-step explanation:

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

Answer:

$250

Step-by-step explanation:

Given:  Cost for d days carnival = $2d^3 .....(i)

where d is number of days

Now we have to calculate the total cost incured for 5 days of carnival

we can simply put d = 5 in above equation (i)

= 2×5^3 = 2×125 = $250.

Therefore carnival cost if Eduardo goes for d 5 days = $250

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:

40 kilometers

Step-by-step explanation:

the hypotenuse is a² + b² = c²

so first we have to get 32 and 24 into ²

            32² = 1024       (32 × 32)

            24² = 576         (24 × 24)

1024 + 576 = 1600

now we need to find the square root of 1600

√1600 = 40     (calculator)

therefore, the hypotenuse is 40 kilometers

goodluck, hope this helped,

-cheesetoasty

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:

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:

Option 2

Step-by-step explanation:

Answer:

6 e (*2)x

Step-by-step explanation:

i hope this helps and the 2 is a square unit

Answer:

y = 0

Step by step explanition:

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:

$5820.07

Step-by-step explanation:

Substitute 243 into the equation for n:

[tex]c=117\sqrt[3]{243^{2} }+1264\\c=117\sqrt[3]{59049}+1264\\c=117*38.9407384+1264\\c=4556.06639+1264\\c=5820.06639[/tex]

Round 5820.06639 to the nearest hundredth:

5820.07

$5820.07

Answer:

D.4 3/4

Step-by-step explanation:

hope it helps you

Answer:

108

Step-by-step explanation:

Answer:

D. Rational Number

Step-by-step explanation:

Answer:

(2a+b)^2

4a^2 + 4ab + b^2

product=4

Answer: