The perimeter of the equilateral triangle drawn below is 9b + 12.

The shape below is made of four of these triangles.

Find a simplified expression for its perimeter.

Answer:

x = 21

Step-by-step explanation:

2x+78 = 5x+15,

because corresponding angles will allow (2x+78) to move diagonally from 5x+15.

from built geometry knowledge,

angles diagonal from one another equal,

because (example) the angle above it would be 180-(2x+78),

then 5x+15 = 180 - [180-(2x+78)], which would ultimately be 5x+15 = 2x+78.

so, 2x+78 = 5x+15

78-15 = 5x-2x

63 = 3x

21 = x

For the cut glass pieces to be rectangular in shape, the glass cutter should ensure:

Thus, to ensure the cut glass pieces are rectangular in shape, he should ensure the following:

Learn more about properties of rectangle on:

https://brainly.com/question/2835318

[tex] \frac{4}{3} = \frac{51}{n} \\ = > \frac{3}{4} = \frac{n}{51 } \\ = > n = \frac{3}{4} \times 51 \\ = > n = \frac{153}{4} \\ = > n = 38 \frac{1}{4} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer: $11.48

Step-by-step explanation:

First of all, you have to multiply 3.25 by 2.55 because the grapes are 2.55 per pound. That makes 8.2875 for the first occasion. Next, you have to multiply 1.25 by 2.55 for the second occasion. That makes 3.1875. You then have to add 8.2875 and 3.1875. You get 11.47500, and that rounded to the nearest cent is $11.48.

[tex]39+\dfrac 15 w \\\\=39+\dfrac 15 \left(-\dfrac 12 \right)\\\\\\=39 - \dfrac 1{10}\\\\\\=\dfrac{389}{10}\\\\\\=38\dfrac{9}{10}[/tex]

Answer:

The interest is: $120.00 +2000

Step-by-step explanation:

Answer:

12x + 10 feet

Step-by-step explanation:

Perimeter = 2( length + width)

= 2[ 2x + 6 + (4x -1)]

= 2( 2x + 6 + 4x - 1)

= 2( 6x + 5)

= 12x + 10

Answer:A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

1: $32. 2: 4 weeks. 3: 5 weeks

Step-by-step explanation:

1: 8+24=32$

2: 32/8=4=4 weeks

3: 32+8=$40

    40/8=5=5 weeks

Answer: 6h-36k+42

Step-by-step explanation:

6(h - 6k+7)

First, start by doing 6 times h

Then, 6 times -6k

Lastly, 6 times 7.

6h-36k+42 is your answer.

From the question, we are asked to find the row arrangement of a stack of boxes. Let us take a look at each one of the aforelisted answers

Since we are told that the total number of boxes to be stacked is 64, then for the first arrangement, we can deduce that the "x" is going to be 4. This is because multiplying 4 by 16 gives 64. For the second row, using the same calculation, we find that "x" is 8. And that of the third gives our "x" to be 4 as well. We can then adjudge that;

Bearing this in mind, we can see that each of the 3 answers fits into the requirements we are asked.

Hence, all of the options are correct.

To learn more about rows and columns, see here https://brainly.com/question/13196178

Answer:

Let pork chops and ground beef be x and y respectively.

4x = $12.60

x = $3.15

11x = $34.65

5y = $10.25

y = $2.05

12y = $24.60

11x + 12y = $34.65 + $24.60

              = $59.25

Answer:

[tex]259 \frac{21}{46}[/tex]

Step-by-step explanation:

In order to solve this question we will need to use BODMAS to help us get a reasonable answer. If you don't know what BODMAS is it stands for:

B: Brackets

O: Orders

D: Division

M: Multiplication

A: Addition

S: Subtraction

First Step:

1.  [tex]275/92*50[/tex]

First we multiply 50 by 275. Then we divide this result by 92.

[tex]275/92*50=6875/46[/tex]

Second Step:

2. [tex]45+45-45+45-45+65[/tex]

Now lets subract and minus and such that we get 110.

[tex]110[/tex]

Third Step:

Now we combine both these value and we get [tex]259 \frac{21}{46}[/tex]

Answer:

x=-19

Step-by-step explanation:

3x-9=2(x-14)

3x-9=2x-28

x-9=-28

x=-19

Answer:

i think 179

Step-by-step explanation:

(3×2)+(2-1) = 7

(5×4)+(4-1) = 23

(7×6)+(6-1) = 47

(9×8)+(8-1) = 79

so 19----9 = (19×9)+(9-1) = 171+8 = 179

Answer:

The answer is 33.6.

Hope that helps?

Step-by-step explanation:

Step-by-step explanation:

Since the initial velocity of the object is 170 ft/s, the expression for h is given by

[tex]h = -16t^2 + 170t[/tex]

In order to find the time it takes for the object to reach the height of 302 ft, we to rewrite the equation above as

[tex]302 = -16t^2 +170t \Rightarrow 16t^2 - 170t + 302 = 0[/tex]

This is a quadratic equation whose roots are

[tex]t = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

where a = 16, b = -170 and c = 302. Using these values, we get

[tex]t = \dfrac{170 \pm \sqrt{(-170)^2 - 4(16)(302)}}{2(16)}[/tex]

[tex]\;\;\;=\dfrac{170 \pm \sqrt{28900 - 19328}}{32}[/tex]

[tex]\;\;\;= \dfrac{170 \pm 97.8}{32}[/tex]

[tex]\;\;\;= 2.3\:\text{s},\;\;8.4\:\text{s},[/tex]

This means the object will reach the height of 302 ft 2.3 seconds after launch and then at 8.4 seconds after launch (on its way down).

Answer:

Step-by-step explanation:

Answer:

i speak very little english sorry

Step-by-step explanation:

Answer:

0.459

the 9 rounds the 5 up to a 6 so its 0.46

Answer:

The answer is 0.46

Step-by-step explanation:

The 9 is over 5, so you round up which bumps the 5 up to a 6. It could also be written as 0.460 but the extra 0 is unnecessary.

Answer:

7

Step-by-step explanation:

42/6= 7

---

its a sort of memorization thing youll know when you do enough of them.

if not, you can divide by smaller parts.

3*2=6 so you can divide 42 by 2, and then 3 if that is easier

42/2

=21

then divide by 3 =7

Answer: 7

Step-by-step explanation: If you simplified 42/6 you would get 7 and 42/6 is basically 42 ÷ 6 which equals 7.

Answer:

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2...

Answer:

$2132

Step-by-step explanation:

They will spend : 1563+569= 2132 (dollars)

By the way did you copy the right question ? Because i see unnecessary information in this question. Anyway, try to check it again !

Answer:

Integers

The set of numbers including all the whole numbers and their opposites (the positive whole numbers, the negative whole numbers, and zero)

Answer:

the answer is

[tex]the \: answer \: is \: b[/tex]

Answer:

Less than two would be one.  Since there is only one of that, it would be 1/6th or 0.6666

Step-by-step explanation:

Answer:

angle BEC is congruent to angle FEG (vertical opposite angles)

other than that, I'm not sure if the other angles are congruent bc of their marks.

Step-by-step explanation:

Answer:

T is =/> 3

Step-by-step explanation:

Add 9t to both sides, 3-4t>/= -9 . Subtract 3 from both sides. -4t>/=-12

divide 12 by 4 for 3. Because 3 results in equality between both sides, it is equal, however if t is greater than 3, the lefthand side becomes greater than the right.

Answer:

Step-by-step explanation:

Answer:

335.4

Step-by-step explanation:

You can use the Pythagorean Theorem (a^2 + b^2 = c^2)

300^2 + 150^2 = 112500

The square root of 112500 is 335.4

Answer:

79

Step-by-step explanation:

(237)(1/3) = 79