In how many ways can a committee
of 5 men and 3 women be selected
from 9 men and 7 women ?

The reflection transformation in the question is a rigid transformation,

therefore, the image and the preimage are congruent.

The statements that are true are;

Reasons:

The given parameter are;

Triangle ΔABC is reflected across the line 2·X, to map onto triangle ΔRST

Required:

To select the true statements

Solution:

A reflection is a rigid transformation, therefore, the distance between corresponding points on the image and the preimage are equal.

Therefore;

AB = RS

BC = ST

AC = RT

Given that the image formed by a reflection is congruent to the preimage, we have;

ΔABC ≅ ΔRST

∠ABC ≅ ∠RST

m∠ABC = m∠RST by the definition of congruency

∠BCA ≅ ∠STR

m∠BCA = m∠STR by the definition of congruency

∠BAC ≅ ∠SRT

m∠BAC = m∠SRT by the definition of congruency

Therefore, the true statements are;

Learn more here:

https://brainly.com/question/11787764

Answer:

Slope of the perpendicular line

m2=-5/2

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

brainly pls

Answer:

5/6

Step-by-step explanation:

make me brainliest please

Answer:

5/12 is your answer

=^-^=

Sums are incorrect

[tex]\\ \sf\longmapsto 3a+b-(6b-2)[/tex]

[tex]\\ \sf\longmapsto 3a+b-6b+2[/tex]

[tex]\\ \sf\longmapsto 3a-5b+2[/tex]

Answer:

5000

ghsjdjdjdjdjdjdjdkdkdkdkdkdkdkdk

Answer:

-147 because -21x7 equals -147

Step-by-step explanation:

Answer:

[tex]\frac{1}{3}[/tex](x+2)

Step-by-step explanation:

Hope this helps! :)

Step-by-step explanation:

1) Let the number be x.

2) To find one-third of a number, divide the number by 3 ,

3) x÷3.

Answer:

Rational

Step-by-step explanation:

Its rational because it has the same numbers/pattern

You can find the answer in the image above.

Answer:  

42,893 + 2,432,743 = 2,475,636

, Hope this helps :)

Have a great day!!

Answer:

[tex]\sf 42893+2432743[/tex]

[tex]\sf =2475636[/tex]

Answer:

b = 180 - a - c

Step-by-step explanation:

To solve for b given the literal equation, a + b + c = 180:

Subtract a and c from both sides:

a + b + c = 180

a - a + b + c - c = 180 - a - c

b = 180 - a - c

Answer:

midpoint P(6, 4)

Step-by-step explanation:

[tex] \frac{x1 + x2}{2} \\ \frac{y1 + y2}{2} [/tex]

[tex] \frac{9 + 3}{2} = 6 = x \: mid \: point \\ [/tex]

[tex] \frac{6 + 2}{2} = 4 = y \: mid \: point[/tex]

I HOPE IT WILL HELP YOU.

THANK YOU.

I HOPE YOUR DAY GOES GREAT.

Answer:

steps below

Step-by-step explanation:

From the graph: parabola pass (0,4) (3,4) (1,2)

equation: y = ax² + bx + c

(0,4): c = 4

(3,4): 9a + 3b + 4 = 4       9a+3b = 0       3a + b = 0   ... (1)

(1,2):  a + b + 4 = 2            a+b = -2   ... (2)

(1)-(2): 2a = 2        a = 1

(2):      b = -3

parabola equation: f(x) = x² - 3x +4

(a)  f(3) = 3² - 3*3 + 4 = 4

(b) normal line: parallel to tangent line y = 3x -5 at (3,4)

    slope of line N: -1/3   pass (3,4)

    equation of N: (y-4)/(x-3) = -1/3         y-4 = -1/3 x + 1

     line N: 1/3 x + y - 5 = 0

(c) picture attached

Answer:

(1,1)

Step-by-step explanation:

Answer:

m∠1 = 63

m∠2 = 49

m∠3 = 87

m∠4 = 44

Step-by-step explanation:

Angle 2 and 49 are similar

Angle 2 = 49

Angle 1 + 49 + 68 = 180

180 - 49 - 68 = Angle 1

180 - 49 - 68 = 63

Angle 1 = 63

Angle 3 + 93 = 180

180 - 93 = Angle 3

180 - 93 = 87

Angle 3 = 87

Angle 4 + 49 + 87 = 180

180 - 49 - 87 = Angle 4

180 - 49 - 87 = 44

Angle 4 = 44

Step-by-step explanation:

A straight angle measures 180°.

m∠3 = 180 - 93

m∠3 = 87

The sum of the three angles of any triangle is equal to 180°.

m∠4 = 180 - (49 + 87)

m∠4 = 180 - 136 = 44

The vertically opposite angle.

so m∠2 = 49

The sum of the three angles of any triangle is equal to 180°.

m∠1 = 180 - (68 + 49)

m∠1 = 180 - 117 = 63

please give me a brainliest answer

Answer: 24/10

Answer: 24/10Step-by-step explanation:

1) 1*1÷10 +1*1÷5+2÷20

2)(1*10+1)/10+(1*5+1)/5+2/20 3)11/10+6/5+2/20

4)11/10+6/5+1/10

5)11/10+12/10+1/10

6)(11+12+1)/10

7)24/10

Hope it helps!Please mark me brainest and follow me to get the answer faster

Step-by-step explanation:

45÷11= 4 R 1

between 4 and 5

4 1/11

4 1/11

Answer:

x = 1 and it's undefined yaaaaaaaaaaa

60 + (3x - 13) = (5x + 1)

60 + 3x - 13 = 5x + 1

3x - 5x = 1 - 60 + 13

-2x = -46

-2x / -2 = -46 / -2

x = 23

Answer: x = 23

Answer:

Step-by-step explanation:

Angle ECB or angle BCE should do it

Answer:

y-1= -3/4(x-1)

Step-by-step explanation:

find the slope then put it in the format: y2-y1=m(x2-x1)

y-1= -3/4(x-1)

Answer:

y = -3/4x + 7/4

Step-by-step explanation:

So we have 2 points:

(-3, 4) & (1, 1)

The formula for point-slope is:

y - y1 = m (x - x1)

First, we need to find the slope between the points

The formula for this is

(y2 - y1) /(x2 - x1)

1 - 4 / 1 - (-3) ->

-3 / 4

Our slope is -3/4 (m)

y = -3/4 (x + 3) + 4

I've done this using a simplified formula for point slope which is

y = m(x - x1) + y1

we can simplify this equation more

y = -3/4x + 7/4

is our final equation.

Answer:

y- [2] = 4(x - [3])

Answer:

y-2 = 4(x-3)

Step-by-step explanation:

The point slope equation is

y - y1 = m(x-x1) where m is the slope and (x1,y1)

y-2 = 4(x-3)

Answer:

5 : 10

6 : 12

7 : 14

8 : 16

9 : 18

Step-by-step explanation:

10/5=2

there is only one number in between 7 and 5

so now you have to go up 2 each time in the right collum and go up once in the left collum.

Answer:

see explanation

Step-by-step explanation:

The perimeter is the sum of the sides of the figures

(1)

The figure has 5 congruent sides , then perimeter P

P = 5 ([tex]\frac{2}{5}[/tex] x + 1) ← multiply each term in the parenthesis by 5

  = 2x + 5

(2)

There are 4 congruent sides of ([tex]\frac{5}{2}[/tex] x - y) and 8 of y , then

P = 4([tex]\frac{5}{2}[/tex] x - y) + 8y ← distribute parenthesis by 4

  = 10x - 4y + 8y ← collect like terms

  = 10x + 4y

(3)

P = 2([tex]\frac{2a-b}{2}[/tex] ) + 2([tex]\frac{3b}{2}[/tex] ) + 2a ← distribute parenthesis

  = 2a - b + 3b + 2a ← collect like terms

  = 4a + 2b

Answer:

67.5 degrees.

Step-by-step explanation:

Let the measure of two equal angles of the triangles is x.

Thus, the angles of the triangles are x, x and 45 degrees.

Answer:

67.5°

Step-by-step explanation:

Given:

All triangles is 180°

One Triangle measure 45°

2 Other Angles are equal

To Find:

Two Other Angles

Solution:

180°- 45° = 135°

135° ÷ 2 = 67.5°

Therefore the other two angles are 67.5°

Answer:

[tex] 3\sqrt[3]{3} [/tex]

Step-by-step explanation:

First, notice that 81 is divisible by 3.

81/3 = 27

27 is also divisible by 3.

27/3 = 9

9 = 3 * 3

81 = 3 * 3 * 3 * 3

81 = 3^3 * 3

[tex] \sqrt[3]{81} = \sqrt[3]{3^3 \times 3} = 3\sqrt[3]{3} [/tex]

Answer:

6 feet per hour

Step-by-step explanation:

36 / 6 = 6