For Geometry: explain why Angle- Angle Troangle Similarity Theorem works

Answer:

x = 2, 4

Step-by-step explanation:

Hi there!

x=√(2x-4)+2

Move 2 to the left:

x-2 = √(2x-4)

Square both sides:

x²-4x+4 = 2x-4

Combine like terms:

x²-6x+8 = 0

Factor:

(x-2)(x-4) = 0

Therefore, x = 2, 4.

I hope this helps!

Answer:

26/3

Step-by-step explanation:

6 1/2 divided by 3/4 = 13/2 divided by 3/4

[tex]\frac{13}{2} / \frac{3}{4}\\[/tex]

[tex]=\frac{13}{2} * \frac{4}{3}[/tex]

=[tex]\frac{26}{3}[/tex]

Step-by-step explanation:

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.

2 points are marked already :

(-3, 4) (3, -4)

x changes by +6 (from -3 to 3)

y changes by -8 (from 4 to -4)

the slope is -8/+6 = -8/6 = -4/3

the y-intercept is also clearly visible on the chart : the line crosses the y-axis precisely at (0, 0).

so, the y-intercept is 0.

Answer:

38.192

Step-by-step explanation:

34.72x(1+0.1)=38.192

Answer:

ans :240 cm²

Step-by-step explanation:

see the pic

....ik its messy but hope u understand

and I hope the ans is correct

Answer:

212

Step-by-step explanation:

106 x 2= 212

Answer:

ok so when there is 106 bags of brownies there is two ways that u can do this that i can think of so u can do 106 + 106 which= 212 or 106 x 2 = 212 this one was pretty easy u got this feel free to ask more questions!

Step-by-step explanation:

[tex]40936434. \times 10 {}^{7} [/tex]

Answer:

Step-by-step explanation:-0y+2-4x

Step-by-step explanation:

By reflection

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Answer:

She needs 16 tables because 40 divided by 6= 8 thne you would do the amout of people and the tables so you would do 125 divided by 8 and you would get 15.625 and if you round it you get 16

Answer:

-8f

Step-by-step explanation:

you will substitute in the numbers and multiply

Because f is a variable you write the -8 and attach the f to it

The value of function for given x value is -1.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is f(x)=-(x+8)²-1.

Substitute x=-8 in the given function, we get

f(-8)=-(-8+8)²-1

= -0-1

= -1

Therefore, the value of function for given x value is -1.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

"Your question is incomplete, probably the complete question/missing part is:"

What is the value of f(x)=-(x+8)²-1, if x is -8?

When adding, you only add the numerators. The denominator stays the same (Assuming the denominators are the same number). If not, then you will have to find a common denominator first. IN this case, the denominator is already the same. Add the numerator

2/3 + 2/3 = 4/3

Note that the answer gotten is an “improper fraction”, because the numerator is greater than the denominator. Simplify.

4/3 = 3/3 + 1/3

Divide: 3/3 = 1

1 + 1/3 = 1 1/3

1 1/3 is your mixed fraction answer (4/3 for improper fraction answer)

Answer:

top to bottom,

Yes

No

Yes

Yes

Answer:

140

Step-by-step explanation:

35 ÷25%

35 ÷ 25/100

140

ok I am a little confused here but I think I may know what your asking.

What is 25% of 35? or you could be asking 35 is 25% of what number?

I'll answer both just in case.

What is 25% of 35?: 35 ÷ 4 = 8.75%

35 is 25% of what number?: 35 x 4 = 140

Answer:

the answer would be c brainlest if right :0

Step-by-step explanation:

Hello!

-----------------------------------------------------------------------------------------------------------------

I presume the answer is Option C.

It's much easier to evaluate this expression than the other ones.

Hope it helps!

~SparklingFlower

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4:05 pm

Step-by-step explanation:

take off time 7:50 - 3:45

= 4:05

I think the answers here:-

dp201111.pdf

We want to get the price per acre that she receives for the land, we will get that the price per acre is $2,777.8

First, we need to find the total area of the land.

There are two parcels, one with an area of 1 mi^2, and the other with dimensions of one-mile x half a mile, then the area of the other parcel is:

A' = (1 mi)*(0.5 mi) = 0.5 mi^2

The total area is the sum of these two, we get:

1 mi^2 + 0.5 mi^2 = 1.5 mi^2

And notice that we want to get the price per acre, knowing that:

1 mi^2 = 640 acres, then:

1.5 mi^2 = 1.5*(640 acres) = 900 acres.

The price per acre is equal to the quotient between the total price for the area and the number of acres, this gives:

P = ($2,500,000)/(900 acres)  = $2,777.8

So each acre costs $2,777.8

If you want to learn more, you can read:

https://brainly.com/question/13738061

[tex]\\ \sf\longmapsto Discount=\dfrac{12.5(30}{100}[/tex]

[tex]\\ \sf\longmapsto Discount=12.5(0.3)[/tex]

[tex]\\ \sf\longmapsto Discount=125(3)/100[/tex]

[tex]\\ \sf\longmapsto Discount=375/100[/tex]

[tex]\\ \sf\longmapsto Discount=3.75[/tex]

Answer:

discount = $3.75

Step-by-step explanation:

Given:

[tex]\sf \dfrac{discount \times 100}{100}=\dfrac{\$12.50 \times 30}{100}[/tex]

Multiply both sides by 100 to eliminate the denominators:

[tex]\implies \sf discount \times 100=\$12.50 \times 30[/tex]

Divide both sides by 10:

[tex]\implies \sf discount \times 10=\$12.50 \times 3[/tex]

Carry out the multiplication on the right side:

[tex]\implies \sf discount \times 10=\$37.50[/tex]

Divide both sides by 10:

[tex]\implies \sf \dfrac{discount \times 10}{10}=\dfrac{\$37.50}{10}[/tex]

[tex]\implies \sf discount=\$3.75[/tex]

The flat screen TV that is marked up by 30% and 20% discount had a profit of $60 after being sold.

The mark up percentage is given by:

Mark up percentage = (selling price - cost price)/cost price

Since the original price is $1500, hence:

30% = (selling price - 1500)/1500

0.3 = (selling price - 1500)/1500

(selling price - 1500) = 450

Selling price = $1950

It was again sold at a discount of 20%:

Final selling price= 1950 - 20% of 1950 = 1560

Profit = 1560 - 1500 = $60

Hence $60 profit was made by the store for the sale of a flat screen TV.

Find out more at: https://brainly.com/question/15699405

Answer:

18.9

Step-by-step explanation:

The height of the kite above the ground is 36.8 ft

Let x be the height of the kite above Mamadou's hand.

Since the angle of elevation of the kite is 27° and the length of the kite's string is 75 ft long, the length of string, height of kite above Mamadou's hand and the horizontal distance between Mamadou and the kite form a right-angled triangle, with hypotenuse side, length of string of kite and opposite side, height of kite above Mamdou's hand, we have that

sin27° = x/75

Making x subject of the formula, we have

x = 75sin27

x = 75 × 0.4540

x = 34.05 ft

Since Mamadou's hand above the ground is y = 2.75 ft, the height of the kite above the ground, h = x + y

Substituting the values of the variables into the equation, we have

h = x + y

= 34.05 ft + 2.75 ft

= 36.8 ft

The height of the kite above the ground is 36.8 ft

Learn more about height of kite above ground:

https://brainly.com/question/16399072

Answer:

(8-2)(4+6)

Step-by-step explanation:

1. (8-2)(4+6)

6x(4+6)

2. 6x10

3. =60