The triangles below are similar. Find x.

Answer:

x=4+√73 or x=4−√73

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x^2−8x−48=9

Step 2: Add 48 to both sides.

x^2−8x−48+48=9+48

x^2−8x=57

Step 3: The coefficient of -8x is -8. Let b=-8. Then we need to add (b/2)^2=16 to both sides to complete the square.

Add 16 to both sides.

x^2−8x+16=57+16

x^2−8x+16=73

Step 4: Factor left side.

(x−4)^2=73

Step 5: Take the square root.

x−4=±√73

Step 6: Add 4 to both sides.

x−4+4=4±√73

x=4±√73

x=4+√73 or x=4−√73

Answer:

x=4+√73 or x=4−√73

If this answer helped you, I would greatly appreciate it if you gave me brainliest :D.

Answer:

Step-by-step explanation:

since  d > r   , becasue more daises, than roses,  we know that the answer must also reflect this logic.

A is  3r > r+d ,   can't be true, b/c with one rose,  the amount of roses + daises would be 3, and then 3r = r+d    so A is wrong

B is 3r ??? we don't have an equation or inequality to solve.  

C  3r = r+d,   this could be true if r=1  and d=2  and would also be correct for all the requirements.   C seems true,  

D Also,  for the teacher that wrote this,  " compare expressions"  means there are zero equal signs ,   expressions are with out equal signs,   equations have them,  as does C  :/   This teacher doesn't know what they are talking about.  >:/  

Based on the equation, the correct answer is D. There is not enough information to tell.

The statement "a garden has more daisies than roses, and there is at least one rose" implies that the number of daisies (d) is greater than the number of roses (r), but it does not provide any specific values for r and d.

Without knowing the specific values of r and d, we cannot determine whether 3r is greater than, equal to, or less than r + d. Therefore, the correct answer is D, indicating that there is not enough information to determine the relationship between 3r and r + d.

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Answer:

-3 x 10

Step-by-step explanation:

Because there are 10 questions, all wrong taking away 3 points

Answer:

Ok, but what is the question or data?

288 ft

first off you will want to find the area of the garden, which is 1120 ft squared, we’ll come back to this

Since the path is 4 ft wide and surrounding the garden, its area is 28+4 by 40+4, minus the area of the garden.

32*44 = 1408 - 1120 = 288 ft

you may or may not need to write it as feet squared

To find f(-8) and f(6), all that we need to do is plug in each of the numbers for x.

f(-8) = -8 - 1 = -9

f(-8) = -9

f(6) = 6 - 1 = 5

f(6) = 5

Hope this helps!

If f(-x) = x - 1, then f(x) = - x - 1. So

f(-8) = 8 - 1 = 7

and

f(6) = - 6 - 1 = -7

Answer:

Both

Step-by-step explanation:

5+3+4=

12

3+1+1=

5

1+1=

2

1=

1

The line plot shows this data for each number.

The answer of this question is √17 units

Answer:

2. 3520 yds

3. 15840 ft

8. 27 in

Step-by-step explanation:

2. There are 1760 yards in a mile. Since we're looking for the number of yards in 2 miles, we just have to multiply this number by 2.

2 · 1760 = 3520 yds

5. There are 5280 feet in a mile. Since we're looking for the number of feet in 3 miles, we just have to multiply this number by 3.

3 · 5280 = 15840 ft

8. There are 12 inches in a foot. This means that 2 feet equals 24 inches [2 · 12 = 24]. Since we have to find the number of inches in 2 feet and 3 inches, we just have to add 3 to 24. This equals 27 inches.

The correct statenments are:

The circumference of a circle is the sum of the external part of the circle.

The formula for calculating the area of a circle is expressed as:

A = πr²

The formula for calculating the circumference is given as:

C = 2πr

r is the radius of the circle

If radius is 2 units

A = π(2)² = 4π

C= 2π(2) = 4π

The numerical values of the area and circumference are equal when r = 2.

If radius is 1 units  < 2 units

A = π(1)² = π

C= 2π(1) = 2π

The numerical value of the area is less than the numerical value of the circumference when r less-than 2.

If radius is 3 units  > 2 units

A = π(3)² = 9π

C= 2π(3) = 6π

The numerical value of the area is less than the numerical value of the circumference when r greater-than 2.

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Answer:

ABD

Step-by-step explanation:

Answer:

1.900 miles / 2 = 950 miles per day.

2700 miles / 3 = 900 miles per day.

Therefore, the other family travelled faster.

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

n=5, -5

Answer:

[tex]n=\frac{3i\sqrt{22}-2}{-8}[/tex]

Step-by-step explanation:

[tex](2-8n)^2=-198[/tex]

[tex]\sqrt{(2-8n)^2} =\sqrt{-198}[/tex]

[tex]2-8n=i\sqrt{198}[/tex]

[tex]2-8n=3i\sqrt{22}[/tex]

[tex]-8n=3i\sqrt{22} -2[/tex]

[tex]n=\frac{3i\sqrt{22}-2}{-8}[/tex]

I hope this helps!

Answer:

____________________________________

[tex] \large{ \tt{ \star \: S \: O \: L \: U \: T \: I \: O \: N : }}[/tex]

[tex] \large{ \boxed{ \tt{♡ \: VOLUME \: = l \: \times b \: \times h}}}[/tex]

[tex] \longrightarrow \: 4 \frac{1}{3} \times 3 \frac{1}{3} \times 4[/tex]

[tex] \longrightarrow \: \frac{13}{3} \times \frac{10}{3} \times 4[/tex]

[tex] \longrightarrow \: \frac{540}{9} [/tex]

[tex] \longrightarrow \tt \: 57 \frac{7}{9} \: ft ^{3} [/tex]

- HappY LearninG ^_________^

Answer: 57 7/9 is the answer

Step-by-step explanation: 4 times 4 1/3 times 3 1/3 is 57 7/9

The volume of the cylindrical tank is the amount of space in it

The volume of the larger tank is 800 gallons

The volume of the small tank is given as:

v = 100

The volume of a cylinder is:

v = πr²h

For the bigger tank, we have:

V = πR²H

The dimensions are twice the smaller tank. This gives

V = π(2r)² * (2h)

Expand

V = 8πr²h

Substitute v = πr²h in V = 8πr²h

V = 8v

Substitute v = 100 in V = 8v

V = 8 * 100

V = 800

Hence, the volume of the larger tank is 800 gallons

Read more about volume at:

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Answer:

E) quadrilateral

Step-by-step explanation:

Quadrilateral LMNO has 4 sides, but only two seem to parallel each other and that is why it is only a quadrilateral.

Requirements for each shape:

Square = 4 equal sides, 2 pairs of parallel ones, all right angles

Rectangle = 2 sets of equal and parallel sides, all right angles

Rhombus = 4 equal sides, 2 pairs of parallel ones

Parallelogram = 2 pairs of parallel sides

Quadrilateral = 4 sided polygon with 4 corners

Hope this helps!

V=πr2h

3=π·26.392·14

3≈10210.22786
10210.23

Answer:

Mean : 31.6
Mode : 46
Median : 32
Range: 34

Step-by-step explanation:

Answer: Mean 31.57 Mode 46 Median 32

Range34

Step-by-step explanation: Mean is average. Add all the numbers and divide by 7

Mode is highest occurring

Median is middle number

Range is highest- lowest 46 - 34

Answer:

tanC

Step-by-step explanation:

tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{6}{10}[/tex]

Step-by-step explanation:

I4(-3)+5| +8(-3)

|-12+5| -24

7-24 = -17

Answer:

B

Step-by-step explanation:

it goes 8 6 3 2

none of the other ones go this order

Answer:

2 units.

Step-by-step explanation:

8 - 6 = 2 units.

There is no need to use the distance formula as both points are on the y-axis. Its just a simple subtraction.

[tex] \huge \mathfrak \red{hey \: there}[/tex]

[tex]\mathfrak \orange{answer}[/tex]

[tex] \mathfrak \orange{ explanation}[/tex]

[tex] x_1[/tex] = 0 [tex] x_2[/tex] = 0

[tex] y_1[/tex] = 6 [tex] y_2[/tex] = 8

[tex] \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} } // \sqrt{ {(0 - 0)}^{2} + {(8 - 6)}^{2} } //[tex] \sqrt{ {(0)}^{2} + {(2)}^{2} } // [tex] \sqrt{ {(0 + 4} [/tex]

Answer:

[C] 4x - 19 < 318

Step-by-step explanation:

For [C] I think you meant: [C] 4x - 19 < 318

Since, x = -8

then we can plug it in to each answer choice to find the answer:

[A] -3x - 2 = 24

⇒ -3(-8) - 2 = 24

-3(-8) = 24

24 -2 = 22 not 24

False.

[B]  12 + 2x > 9

⇒  12 + 2(-8) > 9

 12 -16 > 9

-4 > 9

False.

[C] 4x -19 < 318

⇒ 4(-8) -19= 318

-51 < 318

True.

[D] 17 + x>10​

⇒ 17 + (-8) >10​

-25 > 10

False.

Hence, the answer is [C] 4x - 19 < 318

Kavinsky

Question:

Please tell me what the answer is

Answer:

The people with the membership take seven classes

The people without the membership take five classes

Step-by-step explanation:

As it says in the picture:

"A local gym has two different fees for their yoga classes. Members of the gym are charged a one-time membership fee of $25 and pay $5 per yoga class. Nonmembers do not pay a membership fee, but they pay $7 per class. How many yoga classes do nonmembers and members have to attend for their cost to be the same?"

First, what you would do is look for your key words in the sentence. What you'd take from the sentence is everything that I highlighted.

If the membership fee is $25 and yoga classes are $5 and nonmembers cost for yoga classes is $7 then you have your problem right there.

Next, what you would look for is your Greatest common divisor. (GCD) The GCD of 5 and 7 is 5 of course. So now what you would do is find out how many times 5 and 7 goes into five.

7 x 5 = 35

5 x 5 = 25

Now what you do is ask yourself the question, "How many times does the nonmembers and members have to go to class to have the same amount of money spent?"

Now I will answer this question for you.

five dollars for members.

seven dollars for nonmembers.

Your answer is: 7 x 5 (30)

Step-by-step explanation:

khan academy

The formulas that give the standard deviation will be given below.

[tex]\sigma = \sqrt{\dfrac{(67 - 70) ^2 + (67 - 70) ^2 + ( 68 - 70) ^2 + ....+ (73 - 70) ^2}{12}}[/tex]

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.

[tex]\rm \sigma = \sqrt{\dfrac{\Sigma (x_i - \mu)^2}{n}}[/tex]

Juana weighed a sample of 12 jumbo eggs. Here are their weights (in grams): 67, 67, 68, 69, 69, 70, 71, 71, 71, 72, 72, 73

The mean is μ =70 grams.

Then the standard deviation is given as,

[tex]\sigma = \sqrt{\dfrac{(67 - 70) ^2 + (67 - 70) ^2 + ( 68 - 70) ^2 + ....+ (73 - 70) ^2}{12}}[/tex]

More about the standard deviation link is given below.

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