whats 10k - 90 = -10

Options:

a) If corresponding pairs of sides and corresponding pairs of angles of two triangles are congruent, then the triangles can be matched up exactly using rigid motions.

b) If two triangles can be matched up exactly using rigid motions, then the corresponding pairs of sides and corresponding pairs of angles of the triangles are congruent.

c) Two triangles can be matched up exactly using rigid motions if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.

d) If corresponding pairs of sides and corresponding pairs of angles of two triangles are not congruent, then the triangles are not congruent.

Answer:

c) Two triangles can be matched up exactly using rigid motions if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.

Step-by-step explanation:

For both pairs of triangles, what you proved is how to use rigid motions (i.e. rigid transformations) to make congruent shapes.

When rigid transformation is applied to a shape, the image (i.e. result) of the  transformation produces an exact shape (i.e. equal corresponding angles and corresponding sides), meaning that the side lengths and the angles of the preimage (before transformation) and the image (after transformation) is unaltered.

Option (c) is true

Answer: A

Step-by-step explanation: Edge 2020

Answer:

A

Step-by-step explanation:

Correct on EDGE 2022

Answer:

if y=6x then 3x-6x=21

-3x=21

x=-7

3x - y = 21

y = 6x

We see that,

0 = 42 which is not true.

The system of equations has no solutions.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

System of equations:

Conditions:

1 - If we get x = n (a value)

The system of equations has one solution

2 - If we get x = x or y = y or n = n

The system of equations has infinite solutions.

3 - If we get n ≠ 0

The system of equations has no solutions

Now,

3x - y = 21 _____(1)

y = 6x ______(2)

From (1) we get,

3x = 21 + y

x = (21 + y) / 3 _____(3)

Putting (3) in (2) we get,

y = 6 [(21 + y) / 3]

y = 2 (21 + y)

y = 42 + y

0 = 42

Which is not true.

This means the system of equations has no solutions.

Thus,

The system of equations has no solutions.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

12+85% is $22.20

80%x12=9.6

5%x12=0.6

9.6+0.6=10.2

12+10.2=22.20

 Answer: $22.20  

Answer:

IT's d!!!!!

Step-by-step explanation:

Answer:

Rectangular Prism → h = 2in

                                    B = 143in

                                    P = 48in

Surface Area = 382in²

Lateral Surface Area = 96in²

Triangular Prism → h = 7in

                                B = 20in

                                P = 27in

Surface Area = 229in²

Lateral Surface Area = 189in²

Triangular Prism → h = 10in

                                B = 120in

                                P = 60in

Surface Area = 840in²

Lateral Surface Area = 600in²

Step-by-step explanation:

Formulas: Total Surface Area = 2B = Ph

                  a²+b²=c²

                  Area = [tex]\frac{1}{2}[/tex]bh

                  Lateral Area = Ph

PLUG NUMBERS INTO FORMULA. (I'm too lazy to type it all out lol)

Answer:

Step-by-step explanation:

4

Answer:

40 biscuits

Step-by-step explanation:

Here are the ingredients needed to make 16 biscuits.

From the above question

Ingredients to make 16 biscuits

175 g of butter

75 g of sugar

250 g of flour

Anna has

500 g of butter

300 g of sugar

625 g of flour

To find the greatest number of biscuits she can make:

For flour

250g of butter = 16 biscuits

625g of butter = x

Cross Multiply

250x = 625 × 16

x = 625 × 16/250

x = 40 biscuits

Answer:

Option (1)

Step-by-step explanation:

By applying tangent rule in ΔABD,

tan(30°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

             = [tex]\frac{AB}{BD}[/tex]

BD = [tex]\frac{AD}{\text{tan}(30)}[/tex]

BD = [tex]\frac{200}{\frac{1}{\sqrt{3} } }[/tex]

BD = 200√3 ft

By applying tangent rule in ΔABC,

tan(60°) = [tex]\frac{AB}{BC}[/tex]

[tex]\sqrt{3}=\frac{200}{BC}[/tex]

BC = [tex]\frac{200}{\sqrt{3}}[/tex]

Since, CD = BD - BC

CD = 200√3 - [tex]\frac{200}{\sqrt{3}}[/tex]

     = 346.41 - 115.47

     = 230.94 ft

     ≈ 230.9 ft

Therefore, Option (1) will be the correct option.

Answer:

230.9 ft

Step-by-step explanation:

person above said it was correct answer

Answer:

135

Step-by-step explanation:

Hello There!

The angle that has a measure of 45° and x are supplementary angles meaning that the sum of the two angles is 180

so x can be found by subtracting the given angle (45 in this case) from 180

180 - 45 = 135

so x = 135

Answer:

135

Step-by-step explanation:

When there's a completely straight line the angle is 180 and when u have a angle already there you subtract 180 from the angle in this case 180-45=135

Answer:

answer is -

area of white color flags - 27000cm²

" " blue " " - 27000cm²

" " red " " - 27000cm²

Answer:

x = 8

Step-by-step explanation:

alternate-interior angles equal 180°

17x + 14 + 4x - 2 = 180

21x + 12 = 180

21x = 168

x = 8

Answer:

D. 109

Step-by-step explanation:

100 meters into yards is 109.361

the ratio is 1.094 so 109

Answer:

polynomial of degree 10

Step-by-step explanation:

The degree of the polynomial is the sum of the exponents, that is

[tex]w^{7}[/tex]y³ → has degree 7 + 3 = 10

Answer:

d. 9

Step-by-step explanation:

i friken used all my attempts guessing on this and got it wrong all times so 9 is the last answer

Answer:  17; 13; 9; 5; 1

Step-by-step explanation:

y = -2x + 9

When x = -4, y = 17

When x = -2 , y = -2x + 9 = -2(-2) + 9 = 13

When x = 0 , y = -2x + 9 = -2(0) + 9 = 9

When x = 2 , y = -2x + 9 = -2(2) + 9 = 5

When x = 4 , y = -2x + 9 = -2(4) + 9 = 1

Answer:

[tex] m \angle \: 3 = 94 \degree[/tex]

Step-by-step explanation:

[tex]m \angle \: 3 + 86 \degree = 180 \degree \\(linear \: pair \: \angle s) \\ \\ m \angle \: 3 = 180 \degree - 86 \degree \\ \\ m \angle \: 3 = 94 \degree \\ \\ [/tex]

Answer: the answer is C 126°

Answer:

(a) 25

(b) 9.27

Step-by-step explanation:

Step 1

We have to rearrange the given days set from least to highest

35, 40, 45, 55, 60

(a) the range

Range = The highest number - The least number

= 60 - 35

= 25

(b) the standard deviation of the data set

35, 40, 45, 55, 60.

We find the Mean

Mean = Sum of values/Number of values

= 35+40+45+55+60/5

= 235/5

= 47

We can find the standard deviation now.

The formula =

√(x - Mean)²/n

= √(35 - 47)²+ (40 + 47)² + (45 - 47)² + (55 - 47)² + (60 - 47)²/5

= √144 + 49 + 4 + 64 +169/5

= √430/5

= √86

= 9.273618495

Approximately = 9.27

Step-by-step explanation:

Surface Area of Figure = Area of 4 triangular sides + Area of Base

=

[tex]4 \times ( \frac{1}{2} \times base \times height) + (length \: \times \: width) \\ = 4 \times ( \frac{1}{2} \times 10 \times 12.1) + (10 \times 10) \\ = 4 \times 60.5 + 100 \\ = 242 + 100 \\ = 342 {yd}^{2} [/tex]

Answer:

Step-by-step explanation: The purpose of scientific notation is to make the numbers and quantities used easier to comprehend, to read and to write.

Express both numbers with the same power of ten.

Add the base numbers.

Bring the power of ten down to represent the new power of ten for the sum.

Simplify so that the base number is between 1 and 10.

Answer:

What is the purpose of scientific notation?

"to make the numbers and quantities used easier to comprehend, to read and to write. " <----- Credits to: Yahoo

How is scientific notation represented?

"To start with, scientific notation is a form of expressing very small or large numbers in a simpler form." <--------- Credits to: Yahoo

Answer:

The volume of the cone is 3140cm³

Step-by-step explanation:

Volume of come = 1/3 × πr²h

r = diameter/2 = 20/2 = 10cm

h = 30cm

π = 22/7

Volume = 1/3 × 22/7 × 10² × 30

Volume = 1/3 × 22/7 × 100 × 30

Volume = 3142.86cm³

Volume = 3140cm³

Answer:

They have air-filled pockets in their leaves

Step-by-step explanation:

Answer:

974

Step-by-step explanation:

Let assume that:

The set of student that took part in Calculus be = C

Those that took part in discrete mathematics be = D

Let those that took part in data structures be = DS; &

Those that took part in Programming language be = P

Thus;

{C} = 507

{D} = 292

{DS} = 312

{P} = 344

For intersections:

{C ∩ DS} = 14

{C ∩ P} = 213

{D ∩ DS} = 211

{D ∩ P}  =43

{C ∩ D} = 0

{DS ∩ P} = 0

{C ∩ D ∩ DS ∩ P} = 0

According to principle of inclusion-exclusion;

{C ∪ D ∪ DS ∪ P} = {C} + {D} + {DS} + {P} - {C ∩ D} - {C ∩ DS} - {C ∩ P} - {D ∩ DS} - {D ∩ P} - {DS ∩ P}

{C ∪ D ∪ DS ∪ P} = 507 + 292 + 312 + 344 - 14 - 213 - 211 - 43 - 0

{C ∪ D ∪ DS ∪ P} = 974

Hence, the no of students that took part in either course = 974