The triangles are congruent by




1. AAS


2. ASA


3. SSS

Answer:

a = 3

Step-by-step explanation:

9-3=6

6/2=3

Answer:

6 different wallpapers

Step-by-step explanation:

Given

[tex]Colours = 27[/tex]

[tex]Textures = 14[/tex]

[tex]Total = 2268[/tex]

Required

Determine the number of different wallpapers he can choose from

From the question, he can choose 1 from 27 colors;

The number of ways is:

[tex]Colours = ^{27}C_1 = \frac{27!}{(27 - 1)!*1!} = \frac{27!}{26!*1!} = = \frac{27*26!}{26!*1} = 27[/tex]

From the question, he can choose 1 from 14 textures;

The number of ways is:

[tex]Textures = ^{14}C_1 = \frac{14!}{(14 - 1)!*1!} = \frac{14!}{13!*1!} = \frac{14*13!}{13!*1} = 14[/tex]

Assume the total number of wallpapers is x and he can only select 1.

The number of ways of selection is:

[tex]Wallpapers = ^{x}C_1 = \frac{x!}{(x - 1)!*1!} = \frac{x* (x - 1)!}{(x - 1)!*1!} = x[/tex]

So, the total selection is:

[tex]Colours * Textures * Wallpapers = Total[/tex]

[tex]27 * 14* x= 2268[/tex]

[tex]378* x= 2268[/tex]

Divide both sides by 378

[tex]\frac{378* x}{378}= \frac{2268}{378}[/tex]

[tex]x= \frac{2268}{378}[/tex]

[tex]x= 6[/tex]

Hence, the number of different wallpaper is 6

Answer:

your question is blard

i can see it sory

Answer:

Simplification :-

=》

[tex] \frac{3 {}^{20} }{3 {}^{19} } \times 3 {}^{3} [/tex]

=》

[tex]3 \times 3 {}^{3} [/tex]

=》

[tex] {3}^{4} [/tex]

you can write

[tex]3 {}^{4} [/tex]

as 81

Answer:

m∠1 = 94°

m∠2 = 43°

m∠3 = 50°

m∠4 = 50°

m∠5 = 130°

m∠6 = 130°

Step-by-step explanation:

Answer:

m<1 = 80 degrees

m<2 = 57 degrees

m<3 = 57 degrees

m<4 = 43 degrees

m<5 = 137 degrees

m<5 = 123 degrees

Step-by-step explanation:

Angle 1: Vertical angles

Angle 2:

43+80 = 123, 180-123 = 57

Angle 3: Corresponding to m<2

Angle 4: Corresponding to the 43 degree angle

Angle 5: m<1 + m<2 = 137 degrees (Corresponding)

Angle 6: m<3+m<6 = 180 degrees. 180-57=123

Answer:

I am so sorry i honestly dont know either i am also having trouble. Can someone help?

Step-by-step explanation:

Answer:

C. 24 1/4

Step-by-step explanation:

You turn both the lowest and the highest values into improper fractions and subtract the numerators then turn it back into a mixed fraction.

The square has a side length of 9.

The area of the full square would be 9^2 = 9 x 9 = 81 square cm.

The area of the triangle is 1/2 x 4 x 3 = 6 square cm.

The area of the shape = 81 -6 = 75 square cm.

Answer:

x = 135

Step-by-step explanation:

Cross multiply (Multiplicacao cruzada)

[tex]\frac{30}{x}=\frac{2}{9}[/tex]

2x = 270

(Now just divide both sides by X) So dividir os 2 lados por 2x

x = 135

Ace

Answer:

If you need slope intercept, y = 12x + 10

i hope this helps

Answer:

(x+2)(x+10)(x+1)

Step-by-step explanation:

Answer:

s=2.5

Step-by-step explanation:

Answer:24

Step-by-step explanation:Let the number we seek be X.

We are Given:

1). (5X+3 ) x (2) = 30

Expand and Rearrange.

(10X +6 ) = 30.

10X = 24.

2). X equals 2.4 . This is the answer for the number we seek.

Always check the answer.

This is Good Working Practice ALWAYS.

For Exams or similar remember:

Presentation (Neat & Tidy), Method & Layout (Show you understand), Accuracy.

All these count in most exams.

The first two points help greatly if your Answer is in error, but your METHOD Is CLEAR & CORECT.

Similarly, if the Check is wrong, mention this, but also, if the case, mention e.g. time ran out .. You may be credited as AWARE if your presentation and Method show you understood what to do and why.

CHECK: Substitute the answer for X into the original equation 1).

Equn. 1). (5X +3)*2 = 30.

Put in the value for X. Expand & Re-arrange.

(( 5 ).( 2.4 ) + ( 3 ).( 2 ) = 30.

( 12 + 6 ) = 30.

24 = 24. Checked & Agreed.

That’s about it.

Answer:

38°

Step-by-step explanation:

4x-9=3x+29 ------- because corresponding angles are equal

x=38°

Answer:

n

Step-by-step explanation:n

Answer

It is the answer r≈ 19.42in

because you radius of a circle with circumference of 122 in

so that is the answer r=19.42in

hope it works:-)

Answer:

1) d and e

2)a, d and f

Step-by-step explanation:

Answer:

Step-by-step explanation:

for number one: D and E is not equivalent

for number 20: A D and F

Answer:

3/20

Step-by-step explanation:

15 / 100

divide both the numerator and denominator by 5: 3 / 20

Answer:

3/20 is it's simplest form.

Step-by-step explanation:

How can we solve this?

15% is equal to 15/100.

Therefore, 15/100 can be simplified to 3/20.

Answer: x=7 and AC = 44 unuts.

Step-by-step explanation:

We know that the diagonals of a parallelogram bisect each other. (i)

Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.

BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6

Using (i)

[tex]BE=\dfrac{BD}{2}\\\\2x+2=\dfrac{5x-3}{2}\\\\ 2(2x+2)=5x-3\\\\ 4x+4= 5x-3\\\\ 5x-4x=4+3\\\\ x= 7[/tex]

Now , AE = 4(7)-6 = 28-6 = 22

AC =2 AE = 2 (22) =44 units.

Hence, x=7 and AC = 44 unuts.

Answer:

0.03

Step-by-step explanation:

21/700 = 0.03

Answer: 0.03

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

For this question you have to use pythagoras' theorem.

Pythagoras' theorem is c²=a²+b²

So c is the hypotenuse and the hypotenuse is always opposite the right angle.

So the equation would be c²=9²+12²

Then 9²=81 and 12²=144

So the equation would then be c²=81+144

So c²=225

Then you just want to find c on it's own so you have to square root it which is 15.

Answer:

The answer is 9996

Step-by-step explanation:

Using the identity (x+a)(x+b) = x  ^2  +(a+b)x+ab

Writing 102 as 100+2 and 98 as 100−2

Hence (100+2)(100−2) = 100  ^2  +[2+(−2)]100+(2)(−2)

= 10000+(0)100−4

= 9996

The answer is 9996

Answer:

9996

Step-by-step explanation:

by using suitable identities ;

identity used here is :

[tex](a + b) \times (a - b) = (a {}^{2} - b {}^{2} )[/tex]

..........................

Answer:-3,2

fwafawfawfafawfawfafawffaffwfawafwf

Answer:

depends but nike

Answer:

Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, divide 3 cubic units by 0.015625 cubic units. Your answer will be 192 cubes.

Step-by-step explanation: Furthermore, how many 1/4 unit cubes does it take to fill the prism? Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, divide 3 cubic units by 0.015625 cubic units. Your answer will be 192 cubes. you welcome

Answer:

please give me brainiest

Step-by-step explanation:

8cm are the one that is shaded and go get your self someone more than my Sista

Answer:

n-4(32.5) > 300;n > 430

Step-by-step explanation:

Simplify: 300 = 4n - 130

Add 130 to each side. 430 = 4n

Divide by 4 on each side: 107.50= n

300 = 4(107.50) - 130? True

This tells us he must be paid $107.50 to make $300 exactly. Anything larger than $107.51 and up will make more than $300.

Answer:

-2 < a

Step-by-step explanation: