Answer:

**Answer:**

4 Pairs.

**Explanation:**

A vertical angle is a **set of two opposite angles**, they **show up when two lines intersect**. Their sum is also 180°.

Answer:

**Answer:**

4 Pairs

**Step-by-step explanation:**

A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones. The numbers y of cell sites from 1985 through 2011 can be modeled byy = 269573/1+985e^-0.308t where t represents the year, with t = 5 corresponding to 1985. Use the model to find the numbers of cell sites in the years 1998, 2003, and 2006.

Kayla had 40 minutes left beforebedtime. Then she worked on apainting for 20 minutes, took a showerfor 8 minutes, and read a book for 10minutes. How many more minutes areleft before Kayla's bedtime?

A sphere has a diameter of 4(x + 3) centimeters and a surface area of 7847 squarecentimeters. Find the value of x.

Please help! 35.1 x 8.4 = ??

Find the missing anglemeasures marked withquestion marks.

Kayla had 40 minutes left beforebedtime. Then she worked on apainting for 20 minutes, took a showerfor 8 minutes, and read a book for 10minutes. How many more minutes areleft before Kayla's bedtime?

A sphere has a diameter of 4(x + 3) centimeters and a surface area of 7847 squarecentimeters. Find the value of x.

Please help! 35.1 x 8.4 = ??

Find the missing anglemeasures marked withquestion marks.

Answer:

a) What is the cost of a chicken shawarma wrap?

$10.99

b) What is the cost of one order of spiced potatoes?

$4.99

c) If x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes, what are the equations needed to solve this problem?

3x + 2y = $42.95 .............Equation 1

5x + 4y = $74.91 ................Equation 2

Step-by-step explanation:

Let x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes,

Cost of a chicken sharwarma wrap = x

Cost of an order of spiced potatoes = y

Ms. Ironperson ordered 3 chicken shawarma wraps and 2 orders of spiced potatoes for a total bill of $42.95.

3x + 2y = $42.95 .............Equation 1

Mr. Thoro ordered 5 chicken shawarma wraps and 4 orders of spiced potatoes for a total bill of $74.91.

5x + 4y = $74.91 ................Equation 2

Hence, the Equations needed to solve the question is:

3x + 2y = $42.95 .............Equation 1

5x + 4y = $74.91 ................Equation 2

We use Elimination method to solve for this.

Multiply Equation 1 by coefficient of x in Equation 2

Equation 2 by coefficient of x in Equation 1

3x + 2y = $42.95 .............Equation 1 × 5

5x + 4y = $74.91 ................Equation 2 × 3

15x + 10y = 214.75..............Equation 3

15x + 12y = 224.73..............Equation 4

Subtract Equation 3 from Equation 4

2y = 9.98

y = 9.98/2

y = 4.99

Therefore, y = Cost of an order of spiced potatoes = $4.99

Subtitute 4.99 for y in Equation 1

3x + 2y = $42.95 .............Equation 1

3x +2(4.99) = 42.95

3x + 9.98 = 42.95

3x = 42.95 - 9.98

3x = 32.97

x = 32.97/3

x = 10.99

x = Cost of a chicken sharwarma wrap = $10.99

Therefore,

The cost of a chicken sharwarma wrap = $10.99

The cost of an order of spiced potatoes = $4.99

do PEMDAS

so do 4-2 which is 2

2 x 9 is 18 x 10 is 180

45 - 8 is 37

180**divided by 37 is **4.9

so do 4-2 which is 2

2 x 9 is 18 x 10 is 180

45 - 8 is 37

180

Parentheses Exponents Multiplication/Division Addition/Subtraction

4-2 =2

2 x 9= 18 x 10 =180

45 - 8 = 37

180**/ **37 =** 4.9**

4-2 =2

2 x 9= 18 x 10 =180

45 - 8 = 37

180

75 = 3·5², so has 6 divisors. 6 rectangles are possible if you make the distinction between 1×75 and 75×1.

60 = 2²·3·5, so has 12 divisors. 12 rectangles are possible under the same conditions.

**The cupcake table can be arranged more ways.**

_____

When 1 is added to each exponent of the prime factors, the product of those sums is the number of divisors. For 75: (1+1)(1+2) = 6; for 60: (1+2)(1+1)(1+1) = 12.

**Arrangement **is simply the **order, **which items are **displayed **or presented.

The **table **of **60 lemon cupcakes **allow more **rectangular arrangements**

The given parameters are:

The **rectangular arrangement (R)** is calculated as follows:

Where *n *represents the *number of items*, and **Area **represents the *area of the rectangular table*

For the **oatmeal**, we have:

For the **lemon**, we have:

By comparison, 0.0167Area is *greater than *0.0133Area

Hence, the **table **of **60 lemon cupcakes **allow more **rectangular arrangement**

Read more about **arrangements** at:

b is the awnser

**Step-by-step explanation:**

**Answer:**

B

**Step-by-step explanation:**

There are 96 squares in total. Yard is 3 feet, so you would divide the total by 3.

**Answer:**

(the statement does not appear to be true)

**Step-by-step explanation:**

I don't think the statement is true, but you CAN compute the intercepted arc from the angle.

Note that BFDG is a convex quadrilateral, so its angles sum to 360. Since we know the inscribed circle touches the angle tangentially, angles BFD and BGD are both right angles, with a measure of 90 degrees.

Therefore, adding the angles together, we have:

alpha + 90 + 90 + <FDG = 360

Therefore, <FDG, the inscribed angle, is 180-alpha (ie, supplementary to alpha)

**Answer:**

538 books should be tested.

**Step-by-step explanation:**

We have that to **find **our level, that is the subtraction of 1 by the confidence interval divided by 2. So:

**Now**, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so

**Now**, find the margin of error M as such

In which is the standard deviation of the population and n is the size of the sample.

**How many books should be tested to estimate the average force required to break the binding to within 0.08 lb with 99% confidence?**

n books should be tested.

n is found when

We have that

Rounding up

538 books should be tested.