Find x, then find the measurement of both angles.

A: x = 20; both angles measure 112 degrees
B: x = 20; both angles measure 110 degrees
C: x = 30; both angles measure 114 degrees
D: x = 30; both angles measure 118 degrees.

7x + 6y is a binomial that is a factor of given equation

Solution:

A binomial is a mathematical expression which has only two terms

Given expression is:

[tex]49x^2 + 84xy + 36y^2[/tex]

We have to find the binomial that is a factor to given expression

Let us find the factors of given equation

[tex]49x^2+84xy+36y^2\\\\\mathrm{Rewrite\:}49x^2+84xy+36y^2\mathrm{\:as\:}\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\\mathrm{Rewrite\:}49\mathrm{\:as\:}7^2\\\\7^2x^2+84xy+36y^2\\\\\mathrm{Rewrite\:}36\mathrm{\:as\:}6^2\\\\7^2x^2+84xy+6^2y^2\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^mb^m=\left(ab\right)^m\\\\7^2x^2=\left(7x\right)^2\\\\Therefore,\\\\\left(7x\right)^2+84xy+6^2y^2\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^mb^m=\left(ab\right)^m\\\\6^2y^2=\left(6y\right)^2\\\\[/tex]

[tex]Therefore\\\\\left(7x\right)^2+84xy+\left(6y\right)^2\\\\\mathrm{Rewrite\:}84xy\mathrm{\:as\:}2\cdot \:7x\cdot \:6y\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\[/tex]

[tex]\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\\\a=7x,\:b=6y\\\\Therefore,\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2 = \left(7x+6y\right)^2[/tex]

Thus we get,

[tex]49x^2 + 84xy + 36y^2 = (7x+6y)^2\\\\49x^2 + 84xy + 36y^2 = (7x+6y)(7x+6y)[/tex]

Thus the binomial which is a factor is 7x + 6y

Answer: is it 13 feet up?

Step-by-step explanation:

[tex] \sqrt{ - 144} = \sqrt{144 \times ( - 1)} \\ = \sqrt{144} \times \sqrt{ - 1} \\ = 12 \times i.. (\because i^2 =-1)\\ = 12i \\ \\ \therefore \: \sqrt{ - 144} = 12i[/tex]

Answer:

[tex]=12*i[/tex]

Step-by-step explanation:

Given: [tex]\sqrt{-144}[/tex]

The square root of some negative value can be find by splitting it in the way given below:

             [tex]\sqrt{-144}= \sqrt{144*(-1)}[/tex]

                   [tex]=\sqrt{144} *\sqrt{-1}[/tex]                                                                   as,    

                                                                                                         [tex]\sqrt{144}=12 \\\sqrt{-1}=i[/tex]

               [tex]\sqrt{-144}[/tex]      [tex]=12*i[/tex]

Answer:

Step-by-step explanation:

Plant B is taller than Plant C.  We need to determine by how much.  To do this, we divide 6 2/3 inches by 4 4/15 inches.  The LCD is 15, and so we have:

6 10/15       100/15

----------- or ------------- = 100/64 = 20/16 = 5/4

4 4/15           64/15

Plant B is 1 and 1/4 times taller than Plant C.  This can be restated as Plant C is four fifths as tall as Plant B.

Plant C is shorter than Plant B, as we saw earlier.  The difference is found through subtraction:  100/15 - 64/15 = 36/15 inches = 12/5 inches shorter, or 2 2/5 inches shorter

Plant C is approximately 12 4/5 times as tall as Plant B. Plant C is approximately 2 2/5 inches shorter than Plant B.

To find out how many times larger Plant C is compared to Plant B, we need to divide the height of Plant C by the height of Plant B. In this case, Plant C is 4 4/15 inches tall and Plant B is 6 2/3 inches tall.

So, the calculation would look like this:

4 4/15 ÷ 6 2/3

To divide fractions, we need to convert the mixed numbers into improper fractions. So, Plant C is 64/15 inches tall and Plant B is 20/3 inches tall.

Now we can divide the fractions:

64/15 ÷ 20/3 = (64/15) x (3/20)

Cancel out common factors:

64/5 ÷ 1/1 = 64/5 = 12 4/5

Plant C is approximately 12 4/5 times as tall as Plant B.

To find out whether Plant C is taller or shorter than Plant B, we need to subtract their heights. Plant C is 4 4/15 inches tall and Plant B is 6 2/3 inches tall.

So, the calculation would look like this:

4 4/15 - 6 2/3

Again, we need to convert the mixed numbers into improper fractions:

Plant C is 64/15 inches tall and Plant B is 20/3 inches tall.

Now we can subtract the fractions:

64/15 - 20/3 = (64/15) - (20/3

To subtract fractions, we need to have the same denominator. So, we need to find a common denominator for 15 and 3, which is 15.

64/15 - 100/15 = -36/15 = -2 6/15 = -2 2/5

Plant C is approximately 2 2/5 inches shorter than Plant B.

Answer:

1 - 1/3 - 1/4 - 1/5

Step-by-step explanation:

Let's take it one step at a time.

Day 1 he completes 1/3 of the garage, so you subtract 1/3 from 1 which means he left 2/3

Day 2 he completed 1/4 more, so you again subtract, this time though 2/3 - 1/4, or in other words 1 - 1/3 - 1/4

So you do this one more time.  1 - 1/3 - 1/4 - 1/5

Can you handle this or do you need help with fraction subtraction.  

Equation: L= -0.5D+34.

The water level be 26 feet in 16 days.

Step-by-step explanation:

Let us consider the initial level (x=0) of the water is 34 feet. Then its coordinate point can be written as (0,34).

The water is receding at the rate 0.5 feet per day, which given us the information that 0.5 is the slope since it is the rate of change and it is decreasing so it is a negative slope.

⇒m= -0.5.

The line equation is  y = mx+c. Let us rewrite as L= mD+c.

Where L is the level of water(y-axis) and D is the days(x-axis) and c is y-intercept.

⇒L= (-0.5)D+c.

To find y-intercept, substitute (0,34) (the known point from the graph) in the equation. Also, the point in y axis when x=0 is y-intercept.

34=  (-0.5)(0)+c.

c=34.

∴L= (-0.5)D+34.

To find the days when the water achieves level as 26 feet:

26 = (-0.5)D+34.

26-34= (-0.5)D.

-8 =  (-0.5)D.

D= [tex]\frac{-8}{-0.5}[/tex].

D= 16.

Answer: (2.2 × 10)(1 × 10) = 2210.

Step-by-step explanation:Step 2: Multiply both top and bottom by 10 for every number after the decimal point: As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So, 2.21 = (2.2 × 10)(1 × 10) = 2210.

Answer

1/5+ 2

Step-by-step explanation:

.2 equals a fith so when you add that to the whole number the answer will be 2  1/5

1/5 +2 = 2 1/5

2 1/5= 2.2

Answer:

Plot a point at 5 on the y axis then move up 2 spaces and right 3 spaces and plot a point there

Use the red dots as two points in the line.

Slope = change in y over the change in x.

point 1: (-5,4)

Point 2: (5,-2)

Slope = (-2 - 4) / ( 5 - -5)

Slope = -2/10

Slope = -1/5

Answer:

3/-5

Step-by-step explanation:

The formula for the slope of a line is rise over run, rise/run

So from any given two points, you can calculate this.

rise is 3

run is 5, but it would be negative 5 because the slope of the line is negative.

look at the number next to the thousands place. it's less than 5 so you round it down to the nearest thousand which is 6000.

Answer:

C) 188.5 in2

Step-by-step explanation:

The solution is 188.5 in2. To determine the surface area, plug 3 and 7 into the formula.

S = 2π32 + 2π(3)(7) ≈ 188.5 in

Answer:

131.4

Step-by-step explanation:

Answer:

Equal

Since OK and JK are radii of the same circle, they are equal. This means that OK = 12.

Step-by-step explanation:

Edge 2021

Answer:

The price of an item has dropped to $63 today. Thus, The percentage decreased will be 45%.

Answer:3z2-7z

Step-by-step explanation: First, subtract the 5z2 from the 8z2. Then, combine the last two like terms which are -3z and -4z.

Lastly, combine everything in biggest to lowest exponent. Which is z2 and lowest is z.

Please find the attachment on the Frequency table with 2 categories. It is 2X2 2 rows and 2 colums.

Step-by-step explanation:

Yes, because AB and CD are parallel and GH is perpendicular to CD, AB is perpendicular to GH. So you are right.

Answer:

A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.

Step-by-step explanation:

Just took the test y'all Trust me the answer is A.

The statement *(A) "A rewards' customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same" is correct,

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

We have a graph represents the customer pays for 106 ounces and 12 ounces of much a rewards' customer pays based on the number of yogurt.

Based on the graph, we can say a rewards' customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.

Thus, the statement *(A) "A rewards' customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same" is correct,

Learn more about the line graph here:

brainly.com/question/23680294

#SPJ2

Answer:

1 ≤ x ≤ 6 (Answer D)

Step-by-step explanation:

Look for the stretch of graph that is horizontal.  The function is constant on that time interval:  from 1 to 6, or 1 ≤ x ≤ 6 (Answer D)

Answer:

A) The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute.

Step-by-step explanation:

The function for cell duplication where the cells duplicate every minute, is given by [tex]f(x)=75(2)^x[/tex]

The initial number of cells occurs when x=0:

[tex]f(0)=75(2)^0[/tex]

Note that every non-zero number to the exponent of zero is 1.

[tex]\implies f(0)=75(1)=75[/tex]Therefore the initial number of cells  is 75

The two is the multiplicative rate of change, therefore the 2 indicates that the number of cells doubles every minute.

Answer:

[tex]They\ stayed\ for\ 2\ hours\\\\And\ each\ one\ payed=\$12[/tex]

Step-by-step explanation:

[tex]Let\ both\ spend\ x\ hours[/tex]

Payment by Ronald:

[tex]Ronald\ paid\ \$ 12.[/tex]

Payment by Tyler:

[tex]Tyler\ paid\ $4\ up\ front\ and\ $4\ per\ hour\\\\Total\ amount\ paid\ by\ Tyler=4+4\times number\ of\ hours\\\\Total\ amount\ paid\ by\ Tyler=4+4\times x\\\\Total\ amount\ paid\ by\ Tyler==4+4x[/tex]

[tex]Amount\ paid\ by\ both\ of\ them\ are\ equal\\\\4x+4=12\\\\4x=12-4\\\\4x=8\\\\x=2[/tex]

[tex]They\ stayed\ for\ 2\ hours\\\\And\ each\ one\ payed=\$12[/tex]

To find the cost of renting a rug cleaner for 6 days, given the polynomial 5.50d + 25, you substitute d with 6 and follow the calculation steps resulting in a total cost of $58.

The cost to rent a rug cleaner for d days is given by the polynomial 5.50d + 25. To find the cost to rent the cleaner for 6 days, substitute d with 6 in the given polynomial.

Therefore, the cost to rent the cleaner for 6 days is $58.

Answer:

958.88925

Step-by-step explanation:

the percentage of tax is that much of the total price. if there is 50% sales tax (unrealistic) and the item costs 100 dollars without any tax, then the tax would be 50 dollars. To find this, turn the percent into a decimal (move the decimal place to the left twice) and multiply that by the price. To do this with this problem, use this strategy. 891.99 times 0.75= 66.89925+891.99=958.88925. might need to be simplified tho, hope this helps

a relationship or expression involving one or more variables

Answer:

3168 feet / minute

Step-by-step explanation:

Answer:

3.16227766017

Step-by-step explanation:

I think so

Answer: Associative Property of Multiplication

It states that a(b*c) is the same as (a*b)*c

Hope this helped!

Answer:

Step-by-step explanation:

4005.09

The amount that she earned in 10 years is $4,005.09.

Given that,

Based on the above information, the calculation is as follows:

[tex]= \$3,000 \times (1+ 2.9\% \div 4)^{10\times 4}[/tex]

= $4,005.09

Here the rate of interest should be divided by 4 and time period should be multiplied by 4.

Learn more: brainly.com/question/17429689

Answer:

Step-by-step explanation:

Cost of stock (without the broker's fee) : 3000 * 6.30 = 18,900

Cost of broker's fee: 3000 * 0.02 = $ 60

For a total cost of (18,900 + 60) = $18,960

Answer:

1. Cost of stock = $ 18,900

2. Total paid = $ 18,960

Step-by-step explanation:

1. Let's review the information provided to us to answer the questions correctly:

Number of GTI petroleum shares purchased by Enice = 3,000

Cost per share = $ 6.30

Broker's commission was $19.95 for fewer than 1,000 shares or $0.02 per share for 1,000 or more

2.  What was the cost of the stock? What was the total paid?

Let's calculate the cost of the stock, this way:

Cost of stock = 3,000 * 6.30

Cost of stock = $ 18,900

Cost of brokers' commission = 3,000 * 0.02

Cost of brokers' commission = $ 60

Total paid = Cost of stock + Cost of broker's commission

Total paid = 18,900 + 60

Total paid = $ 18,960