Are the triangles congruent?
-yes by SSS

-yes by SAS
-yes by ASA
-yes by AAS
-yes by HL

Answer：

use the same method

Step-by-step explanation:

Men=5

Women=3

Available Strength:

Men=7

Women=6

Objective:Finding no of such committees where particular 2 women are never together.

So initially ,Total possible number of commitee=7c5×6c3=420.

Now we need to find total committes where two particular women say(Sita and Gita ) are never together.

Approach—->

As the commitee requires 5 men and 3 women.

Let us first find number of committees where Sita and Gita are always together.

Hence we reserve 2 women seats for them.

Now we need one women out of remaining 4 women.

So possible number of such commitees 7c5×4c1.

=84.

Hence number of committees where Sita and Gita are never together

=420–84

=336.

Answer:

n-12= number of cookies left

Answer:

y=n-12

Step-by-step explanation:

y= how many cookies are left

n = number of cookies

-12 = how many his friends ate

Answer:

YASSSSSSSS

Step-by-step explanation:

Answer:

dnbdjdndh hdhdhbdjf

xnxnxnnxnxnfnf

ndndndndjf

Answer:

x = 4

y = 2

Step-by-step explanation:

the third angle of the triangle

180 - (148 + 18) = 14º

Therefor

3x + y = 14

5x - y = 18

Add the equations

8x = 32

Divide both sides by 8

x = 4

Plug in x = 4

3(4) + y = 14

12 + y = 14

y = 2

9514 1404 393

Answer:

  (x, y) = (4, 2)

Step-by-step explanation:

The triangles are similar by AA similarity, so the corresponding angles are congruent.

  5x -y = 18 . . . . . . unmarked angles are congruent

  18 +(3x+y) +148 = 180 . . . . . sum of angles in a triangle is 180°

__

After subtracting 166 from both sides, the second equation simplifies to ...

  3x +y = 14

Adding this to the first equation gives ...

  8x = 32

  x = 4 . . . . . . divide by 8

Then substituting for x in the first equation gives ...

  5(4) -y = 18

  20 -18 = y = 2

The values of the variables are x = 4, y = 2.

_____

The angle marked with a double mark is 14°, given by the simplified second equation.

Answer:

7 43/100

Step-by-step explanation:

4*1 6/7=4 24/7 which equals 7.43, or 7 43/100

Answer:

7 3/7

Step-by-step explanation:

4 * 1 6/7

1 = 7/7, so 1 6/7 = 7/7 + 6/7 = 13/7

4 * 13/7 = 52/7

7 can fit into 52 at most 7 times (because 7*7 is 49, and less than 52)

This leaves us with 3 left over

4 * 1 6/7 = 7 3/7

Step-by-step explanation:

let the first equation be l1 and the second equation be l2

then the product of L1.L2=1 the line is perpendicular and l1=l2 the line is parallel

Answer:

X = 6 see below

Step-by-step explanation:

-5x + 13 = - 17

Step One:

subtract 13 from each side

-5x = - 30

Step two:

divide each side by - 5

x = 6

Answer:

7/10 - 3/7 - 1/5

Step-by-step explanation:

3/7-7/10-1/5

Step-by-step explanation:

Step-by-step explanation:

[tex]3 \frac{1}{2} - 4 \frac{3}{4} = \frac{7}{2} - \frac{19}{4} = \frac{14}{4} - \frac{19}{4} = - \frac{5}{4} [/tex]

Answer:

[tex]\boxed{\sf x=-15}[/tex]

Step-by-step explanation:

[tex]\sf 10=x+25[/tex]

[tex]\sf x+25=10[/tex]

[tex]\boxed{\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}}[/tex]

Answer:

x = -15

Step-by-step explanation:

Answer:

Step-by-step explanation:

Slope = m = -1/4

y-intercept = b = 5

Slope intercept form = y = mx +b

[tex]y =\dfrac{-1}{4}x+5[/tex]

Answer: (2, -3)

Step-by-step explanation:

To find the the answer, you will need to use the midpoint formula, which is as following:

(x₁+x₂/2, y₁+y₂/2)

Since we have two coordinates, let's substitute them into the equation.

(7 + (-3 )/ 2, (-4) + (-2)/2)

We should first add 7 and -3 together, as well as -4 and -2.

(4/2, -6/2)

We then divide 4 and -6 by 2. This would give us our midpoint coordinate.

(2, -3)

Answer:

x < -8/21

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Add 3x to both sides.

Step 3: Subtract 10 from both sides.

Step 4: Multiply both sides by 2/21.

Therefore, the answer is x < -8/21.

Answer:

-7 = -7

a. infinite solution

3x-1=?

maybe 3x-1=5

3x=5+1

3x=6

X=6/3

X=2

Answer:

x^2-10x+25

Step-by-step explanation:

(a+b)^2=a^2+2ab+b^2 so a=x and b=-5 so the expression is x^2-10x+25

Answer:

x^2-10x+25

Step-by-step explanation:

Distribute

(x-5)(x-5)

x(x-5)-5(x-5)

Distribute again

x(x-5)-5(x-5)

x^2-5x-5(x-5)

Distribute one last time

x^2-5x-5(x-5)

x^2-5x-5x+25

combine like terms

x^2-5x-5x+25

x^2-10x+25

Answer:

-9

Step-by-step explanation:

Answer:

36 neutrons

Step-by-step explanation:

The ratio of the protons to neutrons is 5:6, or 5 protons/6 neutrons. You know there are 30 protons, so this means you can set up proportions. Keeping the protons on the top, 5 protons/6 neutrons = 30 protons/x neutrons. You can cross-multiply from here, but how I find it helpful to think of it is seeing that you have to multiply 5 protons by 6 to get to 30 protons, so you'd have to also multiply the 6 neutrons by 6 to get x neutrons. Doing so (6x6) will get you 36. Don't forget your units! (:

Answer:

x = 1 , y = 4

Step-by-step explanation:

I am assuming you're looking for what x and y are? If so, then we know that

DC and AB equal each other, so

4x + y = 8

CB and AD equal each other, so

2x + y = 6

We have two equations that cannot be solved on their own, so we must solve them as a system of equations. One process to solve is elimination.

4x + y = 8

2x + y = 6

we can multiply the second equation all by -1 to make the y's cancel out and give us x. so,

4x + y = 8

-1(2x + y) = 6

4x + y = 8

-2x -y = -6

now solve them vertically. we get:

2x = 2

and so x = 1.

Now that we found x, we must find y. Using any of the two equations froom above, we can substitue our x value of 1 into it to find y. I will use the first one.

4x + y = 8

4(1) + y = 8

4 + y = 8

y = 8 - 4

y = 4

so our x is 1 and y is 4.

hope this helps! (:

Answer:

None

Step-by-step explanation:

It would be easier to ask your teacher instead of getting wrong answers from random people. Ever think of that :0

The answer is 10:00 am

add 3 to 6 then add the 30 minutes to the 30 minutes which equals another hour

The domain is the set of all x-values in that table:

   { -6, -1, 0, 3}

or

  { x | x = -6, -1, 0, 3 }

Step-by-step explanation:

=>4x²-8x+3

=> 4x²-2x-6x+3

=> 2x(2x-1)-3(2x-1)

=>(2x-1)(2x-3).

hope this helps you.

Answer:

y=88 x=42

Step-by-step explanation:

Since the total measurments of one triangle have to equal 180 and one angle is already 50, and the angle on the oppisite side of the y angle is 90 the only logical number for y would be 88. Hope this helped :)

Answer:

In Celsius the degree is 50°

Step-by-step explanation:

Put the 122° into the equation given.

Answer:

1. Enlarge, Shrink

2. Smaller

3. Bigger

Step-by-step explanation:

Dilation is something expanding or shrinking, like how your eyes dilate.

Simply think of the scale factor as what you are multiplying the entire figure by. If you are multiplying it by let's say 2, it would double in size, thus getting larger. If you were to multiply it by 1/2, then it would decrease, or shrink, to half its original size.

Answer:

1: enlarge, shrink

2: smaller

3: bigger

Hope this helps! SO sorry if incorrect!!!!!!

Answer:

x=35/4

Step-by-step explanation:

20x +5=180

20x=180-5

20x=175

x=175/20=35/4

Answer:

[tex]x=8.75[/tex]

Step-by-step explanation:

[tex]8x-6+11+12x=180~(Given)\\\\20x+5=180~(Simplify)\\\\20x+5-5=180-5~(Subtract~5~on~both~sides)\\\\20x=175~(Simplify)\\\\\frac{20x}{20}=\frac{175}{20}~(Divide~20~on~both~sides)\\\\x=8.75[/tex]