if triangle ABC are congruent, what is the length of line segment AB?

Answer

x is 1.62 or -0.62

Step-by-step explanation:

Quadratic Formula:

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

Given Quadratic Equation:

x² + x - 1 = 0

a = 1 (Quadratic coefficient)

b = 1 (Linear coefficient)

c = -1 (Constant coefficient)

By substituting values in the formula, we get:

[tex] \rm \longrightarrow x = \dfrac{-1 \pm \sqrt{1^2 - 4(1)( - 1)}}{2 \times 1} \\ \\ \rm \longrightarrow x = \dfrac{ - 1 \pm \sqrt{1 + 4} }{2} \\ \\ \rm \longrightarrow x = \dfrac{ - 1 \pm \sqrt{5} }{2} [/tex]

Answer:

5,212.5 rupees

Step-by-step explanation:

If price of 1 kg is 104.25

multiply 50 by 104.25

equals 5,212.5 rupees

Answer:

5212.50 rupees

Step-by-step explanation:

We can use a ratio

1 kg             50 kg

-----------  = ---------------

104.25            x

Using cross products

1x = 50 * 104.25

x =5212.50 rupees

Answer:

Y = 20

Step-by-step explanation:

120/ 160 = 15 / y

120/15=8

that means there is a 8 to 1 ratio between them. So now do 160/8 = y

y = 20.

prove it by dividing both fractions to create decimal form. They match, so y = 20.

Answer:

✔ 3r > 34

✔ r > 11.3

✔ The squirrel ran faster than 11.3 feet per second.

Step-by-step explanation:

1. The Squirrel's speed is 3r > 34

2. The solution of the inequality is r > 11.3

3. The interpretation is: The squirrel ran faster than 11.3 feet per second.

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

A squirrel runs across a road in 3 seconds.

The road was more than 34 feet wide.

1. The Squirrel's speed is

3r > 34

2. The solution of the inequality is

r > 34/3

r > 11.3

3. The interpretation is: The squirrel ran faster than 11.3 feet per second.

Learn more about Inequality here:

https://brainly.com/question/30231190

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Answer:

Point A

Step-by-step explanation

Got it correct on edge test

Point A represents (3, - ). Therefore, the correct option is option A among all the given options.

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more integers, or coordinates. It matters how the coordinates are arranged.  

Sometimes they are recognised by their place in an ordered tuple, and other times they are recognised by a letter, such as "the x-coordinate." In elementary mathematics, the coordinates are assumed to be real numbers. Point A t represents (3, - ).

Therefore, the correct option is option A.

To know more about coordinate, here:

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5( x + 1)

I hope this helps:)

Answer:

13

Step-by-step explanation:

First find the population of city c 1,070,000 times 2 = 2140000

Round 2140000 to the nearest hundred thousands = 2,100,000

Third find how many places the decimal moves which is 6 places

Fourth scientific notation of 2,100,00 is 2.1 times 10^6

Fifth divided city c by the population of city a

2.1x 10^6 divided by 1.6 x 10^5

2.1 / 1.6 rounded is 1.3

10^6 divided by 10 ^ 5 is 10

Therefore 2.1 x 10^6 divided by 1.6 divided by 10^5 equals 1.3 times 10 = 13

The population of city c is about 13 times the population of city a

Answer:

4 + 4i

Step-by-step explanation:

Add the real part and add the imaginary part.

9 + 7i + (-5  - 3i) = 9 + 7i - 5 - 3i

                          = 9 - 5 + 7i - 3i

                          = 4  + 4i

Answer:

44

Step-by-step explanation:

Okay so we are given (9 + 71) + (-5 - 31).

We need to figure out the value of this expression.

First, let's solve the expression (9 + 71).

1.  (9 + 71) = 80.

Now we have 80 + (-5 - 31).

Next, let's solve the expression (-5 - 31).

2.  (-5 - 31) = -36.

We're left with 80 + (-36).

Finally, let's add the two numbers together.

80 + (-36) = 44

So (9 + 71) + (-5 - 31) = 44

Feel free to give brainliest.

Have an excellent day!

Answer:

Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.

Answer:

A

Step-by-step explanation:

Answer: 46

Step-by-step explanation: g(-5)= 8-2 (3(-5)-4), equals 46! Hope this helps :)

Answer:

your answer woulsd be 4/15 or how many times does 4  gois in ta 15

Step-by-step explanation:

Answer:

340

is right

Step-by-step explanation:

Answer:

f(x + h) = 3x³ + x² + 9h²x + 3h³ + h² + 9hx² + 2hx

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define function

f(x) = x² + 3x³

f(x + h) is x = x + h

Step 2: Simplify

Answer:

79°

Step-by-step explanation:

A straight line is 180°.

180°-101°=79°

Answer:

That is correct

Answer:

yes its correct

Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

A rational number is a number that can be expressed (for example, 1/3 is irrational) Hope I helped! Please mark Brainliest!!!

Answer:

c + 17 = 51

Step-by-step explanation:

Answer:

angle A is congruent to angle R

Step-by-step explanation:

when it gets rotated counterclockwise around point X that is how the triangles end up matching up

Answer:

The answer is 1. ∠A ≅ ∠R

Step-by-step explaation:

Looking at the triangles when they're in their alphabetical order, ΔABC and ΔRST, since they are congruent, that means that if you were to pick an angle in one triangle, it would be equal to the angle in the same place of the other triangle. So if we were to take the first letter from ΔABC it'd be A, and the first letter in ΔRST is R, so that means angles ∠A and ∠R should be congruent.

Answer:

3.36

Step-by-step explanation:

4.1 +6 +1.3+6.5 +1.6=16.8

16.8/5=3.36

In order to  get the answer you add everything up and then divide from the amount of numbers there are.

Answer:

2

Step-by-step explanation:

Answer:

5.4

Step-by-step explanation:

since they are 5 apart on the x-axis, and 2 on the y-axis. You'd multiply by the power of 2 add both of them together and square root. Giving you about 5.38516 rounding to the nearest tenth of 5.4

Answer:

if its .5 round up if its .4 or lower round down

Step-by-step explanation:

Answer:

Step-by-step explanation:

i look at the number to the very decimal and then if it is 5 or higher i round up if it is 4 or lower i round down then leave out the rest of the numbers unless it tells you to round to the tenths, hundreds, or thousands place and so on.

Answer:

y= 8

Step-by-step explanation:

In a Triangle we know,

W+Y+X=180 degree

then,

(180-52)+(4y-4)+3y=180

or, 128+4y-4+3y= 180

or, 7y= 180- 124

or, y= 56/7

or, y= 8

hope you got it.

Answer:

1-7 2-6 3-6 4-4

Step-by-step explanation:

To do this, you must notice that all of these are isosceles triangles (2 of the sides are the same.) You already have 1 value on each triangle, and the length of that side is the same length as the side with the unknown value, so those are the correct answers. If I made a mistake, please correct me. Everybody makes mistakes.

Answers:

Row 1: No, No, No

Row 2: Yes, Yes, Yes

===============================

Explanation:

Use the vertical line test. If it is at all possible to draw a single vertical line through more than one point on the relation curve, then the relation is not a function. This is because a function is only possible when any x input leads to exactly one y output.

So that's why graphs 1,2,3 are not functions, while graphs 4,5,6 are functions.

Answer:

62 cm^2

Step-by-step explanation:

the sides are 3*5, 3*2, and 2*5, and there are two of each. 3*5 is 15, 3*2 is 6, and 2*5 is 10.

we need to find 15*2, which is 30, 6*2, which is 12, and 10*2 which is 20. then we need to add all of these together, which is 62

Answer:

C

Step-by-step explanation:

Answer:

c. 8x-1

Step-by-step explanation:

all of the other ones can be simplified in some way

Answer:

The value of x is 3

Step-by-step explanation:

The stage is rectangular in shape.

The formula for area of a rectangle is:

Length × Width

Length = 24 feet

Width = 4x + 4 feet

Hence:

384 = (4x + 4) × (24)

384 = 96x + 96

Collect like terms

384 - 96 = 96x

288 = 96x

x = 288/96

x = 3

The value of x is 3