Describe the difference between a relation and a function

We have been given two right triangles. We are asked to find the value of x, which will make both triangles similar by Hypotenuse-Leg congruence.

Hypotenuse-Leg theorem states if one leg and hypotenuse of a right triangle is congruent to the one leg and hypotenuse of other right triangle, then both triangles are congruent.

So we can set an equation as:

2x + 1= 9

Upon subtracting 1 from both sides we will get,

2x+1 -1 = 9-1

2x=8

Dividing both sides of our equation by 2 we will get,

x= 4

For the triangles to be congruent by the HL Congruence Theorem, the value of x must be: C. 4.

If a leg and the hypotenuse of one right triangle are congruent to a corresponding leg and the hypotenuse of another right triangles, the HL Congruence Theorem states that the triangles are congruent to each other.

Therefore, the two corresponding parts of the right triangles are given as:

Thus:

2x + 1 = 9 (HL Congruence Theorem)

2x = 9 - 1

2x = 8

x = 4

Therefore, for the triangles to be congruent by the HL Congruence Theorem, the value of x must be: C. 4.

Learn more about the HL Congruence Theorem on:

https://brainly.com/question/4155972

Answer:

two and one fifth

Step-by-step explanation:

Answer:

if you do the problem 5 and 11 with that multiply and but dont forgoet to divide that number its B

Step-by-step explanation:

this is the solution of your question

Answer:

x=4,−2

Step-by-step explanation:

Because Step 1. Move all terms to one side.

{x}^{2}-2x-8=0

x

2

−2x−8=0

2 Factor {x}^{2}-2x-8x

2

−2x−8.

1 Ask: Which two numbers add up to -2−2 and multiply to -8−8?

-4−4 and 22

Step 2. Rewrite the expression using the above.

(x-4)(x+2)

(x−4)(x+2)

and going to;

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

(x−4)(x+2)=0

And Step 3. Solve for xx.

1 Ask: When will (x-4)(x+2)(x−4)(x+2) equal zero?

When x-4=0x−4=0 or x+2=0x+2=0

2 Solve each of the 2 equations above.

x=4,-2

x=4,−2

x=4,-2

Our Answer is:

x=4,−2

I Hope It's Helps

Answer:

2 and -4

tso numbers when added gives -2 and 8 incase it's not clear enough.

Answer:

f(x) = 2x + 2

Step-by-step explanation:

1×2=2+2=4

3×2=6+2=8

and keep going

Answer:

Option A

Step-by-step explanation:

x-7>2

x>9

Therefore, A is correct since 9 isn't included in the solution set.

Answer:

First option is correct

Step-by-step explanation:

x-7 > 2

x > 7+2

x > 9

Answer:

the answer for this will be option c or option 3

Step-by-step explanation:

The x-intercept is at (-3, 0). To find the slope of the perpendicular line, let's rewrite the equation to its slope-intercept form, which is

y = (2/3)x + 2

This means that the perpendicular line has a slope m = -3/2. So the slope-intercept form of this new line is

y = -(3/2)x + k. Since this line passes through (-3, 0), we cal solve for k:

0 = -(3/2)(-3) + k or k = -9/2

So our equation becomes (slope-intercept form)

[tex]y = - \frac{3}{2}x - \frac{9}{2} [/tex]

or in its standard form,

[tex]3x + 2y + 9 = 0[/tex]

Answer: The number of people can be expected to have cold = 34

Step-by-step explanation:

Given: The ratio of people who actually have the flu to the people who have flu-like symptoms is 1:6.

If a doctor sees 40 patients, then the number of people can be expected to have cold = [tex]40\times\dfrac{6}{1+6}[/tex]

[tex]=40\times\dfrac6{7}[/tex]

[tex]=\dfrac{240}{7}\\\\=34.29\approx34[/tex]

Hence, the number of people can be expected to have cold = 34

Answer:

Option (3)

Step-by-step explanation:

Since, flowerbed is in the shape of a right triangle,

By applying Pythagoras theorem in the given right triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

(Hypotenuse)² = (12)² + (12)²

(Hypotenuse)² = 144 + 144

Hypotenuse = √288

Hypotenuse = 16.97

                     ≈ 17 ft

Perimeter of the triangle = Sum of the measures of three sides of the triangle

= 12 + 12 + 17

= 41 ft

Therefore, Option (3) will be the correct option.

Answer:

41ft

Step-by-step explanation:

because i got 100% on the lesson

10-3=N

N=7

Step-by-step explanation:

hope you like it

Answer:

27 feet

Step-by-step explanation:

they go 27 feet because 15+6+6=27

Answer:

$5.20

Step-by-step explanation:

A dozen is 12, so multiply by two.

2.60 * 2 = $5.20

Answer:

5.20 for 12

Step-by-step explanation:

2.60 for 6

2.60*2=12

5.20 for 12

Answer:

Because X (10) repeats

Step-by-step explanation:

A function has no repeated X but here in your x variable 10 is there twice so therefore it is NOT a function

You can use the pencil test also in a graph, align your pencil vertically and see if there are multiple points that have the same X and if there isn't any repeated its a function.

Answer:

The function is a relation between two sets that associates to each element of the first set exactly one element of the second set.

We have x = 10 twice with different f(x) associated, 5 and 20.

If we plot those points they will be on same vertical line, thus the vertical line test is failed.

Answer:

I think this the answer

Step-by-step explanation:

The Thousand Bolts factory has an order for 3,140 bolts. How can it pack the order using the fewest packages?

Answer:

y=-3x+15

is the equation that passes through the point (5,0) and is the parallel line to y=-3x+2

Step-by-step explanation:

find the slope of the original line and use the point-slope formula y-y₁=m(x-x₁) to find the parallel line of y=-3x+2, which if done correctly you should end up with y=-3x+15.

hope this helps

[tex]\longrightarrow{\green{3p-3q}}[/tex] 

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[tex](p - q)(3)[/tex]

Using distributive property which states that [tex]a(b - c) =( a \times b) - (a \times c)[/tex], we have

[tex] = (3 \times p) - (3 \times q)[/tex]

[tex] = 3p - 3q[/tex]

[tex]\pink{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

Answer:

3p - 3q

Step-by-step explanation:

( p - q ) ( 3 )

use distribute property which means multiply each terms in the parantheses by 3.

3 × p - 3 × q

3p - 3q

Answer:

y=97/100x + 7/10

Step-by-step explanation:

Make all the y values negative for a 90 degree turn.

A -  4,-5

B -  4,-4

C -  5,-4

D -  2,-1

E -  1,-2

Answer: G

Step-by-step explanation:

Data: Point which has the coordinates of (-2.5, 5.5)=x

Only step, find those two coordinates on the table

Explanation: Since the question is asking you to find  which point has those two coordinates, all you have to do is instead of finding all the coordinates of the points, just search for the coordinates provided and see what point it lands on.

For this problem, it lands on Point G so the answer is Point G(or just G)

I hope this helps!

Answer:

x = 0.6

Step-by-step explanation:

2(x+4)+8x = 14

2x+8+8x = 14

10x+8 = 14

10x = 6

(divide by 10)

x= 0.6

Answer:

correct answers that make g > true

g = 21.1

g = 34.4

g = 25.5

In short words , the 1st , 4th and 5th option make , g > 21 true .

Answer:

Equal

Equal

Equal

Supplementary

Step-by-step explanation:

Just learn the angles tbh, you will need them in the future

Answer:

494018

Step-by-step explanation:

you are trying to find the diameter of the circle, it is usually half the length of a radius, but since 497 squared is how long a radius is (unless the question asked that the area if 497 inches squared), i can't really give you a clear answer, but the diameter is 247009 times 2 which is 494018

Answer:

Demas gastos= $492.000

Step-by-step explanation:

Dada la siguiente información:

Una persona que gana $2460000, invierte 35% en arriendo, 20% en alimentación, 25% en diversión y el resto para los demás gastos.

Primero, debemos determinar cuanto gasta en cada item:

Arriendo= 2.460.000*0,35=861.000

Alimentación= 2.460.000*0,20=492.000

Diversión= 2.460.000*0,25= 615.000

Total= $1.968.000

Ahora, lo que gasta en "demás gastos":

Demas gastos= 2.460.000 - 1.968.000

Demas gastos= $492.000

Answer:

$45

Step-by-step explanation:

If it looses it value of 14 % every year, by the end of 5 years, the value would go down by 70%.  So, 150x0.7= 105, 150-105=45, so it would be. worth. 45% in 5 years.

Answer: it is e and b

Step-by-step explanation: