Question and answer choices are attached. Please pick the right answer and explain/show work if possible. Thanks!

Answer:

Step-by-step explanation:

1) (i) HG ≅ ST ;      GI ≅ TR ;           IH ≅ RS

ΔHGI ≅ ΔSTR     by  S S S congruent

(ii) ∠H ≅ ∠S      ;  HG ≅ ST       ; ∠G ≅ ∠T

ΔHGI ≅ ΔSTR     by A S A -> Angle Side Angle congruent.

3) LM ≅ XY ;          MK ≅ YZ  ;      KL ≅ ZX

ΔLMK ≅ ΔXYZ Side Side Side congruent

∠K ≅ ∠Z  ;    KL ≅ ZX  ;    ∠L ≅ ∠X

ΔLMK ≅ ΔXYZ     by Angle Side Angle congruent

Answer:

4.5m

Step-by-step explanation:

The set up is a right angles triangle

Height of the shed = opposite side = 6cm

Distance of the ladder from the shed = adjacent = 4.5m

Lenght of the ladder = Hypotenuse = x

Using pythegoras theorem to find the length of the ladder

hyp² = opp²+adj²

hyp² = 0.06² + 4.5²

hyp²= 0.0036+20.25

hyp² = 20.2536

hyp = √20.2536

hyp = 4.50m

Hence the length of the ladder is 4.5m

Step-by-step explanation: To find the exponent, we look at the expression again and see how much of the same number or fraction is repeated. Since the main number is 1/9 and there are 3 fractions repeating it, the exponent is [tex]\frac{1}{9} ^3[/tex] or 1/9 to the 3rd power.

Down is a formula I made!

Main number: 1/9

Repeating how many times: 3

Expression: [tex]\frac{1}{9} ^3[/tex]

Therefore, 1/9 to the 3rd power is 1/729.

[tex]\frac{1}{9}^3=\frac{1}{729}[/tex]

Note: The questioner did not ask for the answer. I wanted to add it anyway for future reasons.

Answer:

-2t-14

Step-by-step explanation:

Answer:

-2t - 14

Step-by-step explanation:

-2(t + 7)

distribute

(-2 * t) + (-2 * 7)

-2t + -2 * 7

-2t - 14

Answer:

4,5 miles

Step-by-step explanation:

60*2=120

120/12=10

1 mile every 10 minutes

45/10=4,5

Answer:

Length, L = 9 feet.

Width, W = 11 feet.

Step-by-step explanation:

Given the following data;

Perimeter = 40 feet

Length = 3x

Width = 2x + 5

The perimeter of a rectangle is given by the formula;

P = 2(L + W)

40 = 2(3x + 2x +5)

40 = 2(5x + 5)

40 = 10x + 10

10x = 40 - 10

10x = 30

x = 30/10

x = 3

Now, to find the length;

Length, L = 3x

Substituting into the equation, we have;

Length, L = 3*3

Length, L = 9 feet

To find the width;

Width, W = 2x + 5

Substituting into the equation, we have;

Width, W = 2(3) + 5

Width = 6 + 5

Width, W = 11 feet.

Answer:

70%

Step-by-step explanation:

385/550 giving you a decimal of 0.7 which is 70%

Answer:

Force = mass * acceleration

Acceleration = force/mass

As force increases, acceleration increases.

As mass increases acceleration decreases

Step-by-step explanation:

Answer: Kevin will have to pay $30 for the jeans.

Answer:

He will have to pay 30$

Step-by-step explanation:

Step-by-step explanation:

not sure about this one sorry cant help ya but i do have a hint its B

Answer:

18%

Step-by-step explanation:

First, we need to find out the underage of 15 for walking/biking. 152-65=87

then we subtract 87 and 60 from 165 to get 18%

Answer:

Step-by-step explanation:

8,3,4,6,7,2,5,

Answer:

No

Step-by-step explanation:

Number of tickets can only be represented by integer values. A value of 3.5 for t would imply you can purchase three and a half tickets, which isn't possible.

Answer:

m∠1 = 124°

Step-by-step explanation:

If this is the case then m∠1 and m∠2 are congruent to each other with the same angle in which m∠2 is also 124°, if m∠3 is said to be 56°.  Also, a straight angle has to equal to 180° in which the first angle is classified as obtuse.

least common multiple of 6,3,2 is 6.

- 6 is the smallest number that is divisible by all three.

Answer:

.5

Step-by-step explanation:

Answer:

C)  6 inches

Step-by-step explanation:

(√72)² = x² + x²

72 = 2x²

72/2 = x²

36 = x²

√36 = √x²

6 = x

x = 6 inches

Answer:

By Pythagoras theorem, we get

[tex] {x}^{2} + {x}^{2} = {( \sqrt{72}) }^{2} \\ 2 {x}^{2} = 72 \\ {x}^{2} = 36 \\ \boxed{x = 6}[/tex]

Answer:

190.2

Explanation:

3.5x2.8=9.8

200-9.8=190.2

Answer:

how do you find the product of 3.5 x 2.8

Step-by-step explanation:

explain how you got it.

Answer:

I think it's -3

hope it's right:)

Step-by-step explanation:

[tex] \sf{ \huge{( - 5) + 2}}[/tex]

While adding or subtracting integers with unlike signs , subtract and keep the sign of the higher integer. In our case , subtract 2 from 5 and keep the sign of higher integer i.e ( - )

⟿ [tex] \sf{ \huge{ \boxed{ { - 3}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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Answer:

y=5x-5

Step-by-step explanation:

find y-intercept:

0=1(5)+b

b=-5

Answer:

y = 5x - 5

Step-by-step explanation:

y = mx + b

m = 5

b = ?

Plug in the coordinates

0 = 5(1) + b

0 = 5 + b

-5 = b

Finally:

y = 5x - 5

Answer:

true

Step-by-step explanation:

its TRUE :)

Answer:

False

Step-by-step explanation:

Take a=-1 and b=-1/7

-3+-15/7=-36/7 which is not divisible by 3. There are several other examples which I don't even need to prove

Answer:

FE

Step-by-step explanation:

i hope you help this answer

For the two similar figures, the expression can be written as:

[tex]\dfrac{GH}{AB} = \dfrac{JD}{CD}[/tex]

In geometry, similarity refers to the property of two figures that have the same shape but possibly different sizes. Two figures are considered similar if their corresponding angles are congruent and their corresponding sides are proportional.

For example, two triangles are similar if they have the same shape but can be different in size. This means that the corresponding angles of the two triangles are equal and the corresponding sides are in proportion.

The symbol used to denote similarity is "~". For example, if triangle ABC is similar to triangle DEF, we write it as:

ABCDE~GHJDF are similar. So the ratios of the sides of the figure can be written as,

[tex]\dfrac{GH}{AB} = \dfrac{JD}{CD}[/tex]

To know more about similarity follow

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Question

Find cos θ for θ = 60°

Answer:

From the question it is given that x<0 and y>0 or in other words x is negative and y is positive.

(a)x y : x is negative and y is positive

⇒negative x positive = negative

Therefore, xy is negative

(b)x[tex]y^{2}[/tex] :  x  is negative and [tex]y^{2}[/tex] is positive

⇒negative x positive = negative

Therefore, x[tex]y^{2}[/tex] is negative

(c) (x − y)xy : x  is negative and [tex]y^{2}[/tex] is positive

⇒(x − y) is negative and xy is negative {from (a)}

⇒negative x negative = positive

Therefore, (x-y)xy is negative

(d) y(y − x): x is negative and y is positive

here y - x is positive

⇒positive x positive = positive

Therefore, (y-x)y is negative

Answer:

All of them but the biggest is soccer pitch

Step-by-step explanation:

Volume is how much something takes up of space.

Answer:

m = 12

Step-by-step explanation:

Total perimeter = 3m + 3m + m + m = 96

so, 8m = 96

then m = 12

Answer:

C = 62.8 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

r = 10 cm

Step 2: Find C

Answer:

62.8

Step-by-step explanation:

Radius is 10, so the diameter is 20 (10x2)

20 x 3.14(pi)= 62.8

Step-by-step explanation:

2^400=2^(2×200)

2^(2×200) =[2^(2) ]^200

Now, [2^(2) ]^200=4^200

The power  of 2 in 400! is 397.

Let p is the prime number whose power is to be found

Let n is the factorial number then

p in n! = (n /p) + (n/p²) +(n/p³) + .......

until Numerator < Denominator

and after division only the integer part is taken

Therefore to determine the power of 2 in 400!

2 in 400! = (400 /2) + ( 400 /2²) + (400 /2³) +(400 /2⁴) +(400 /2⁵) +(400 /2⁶) +(400 /2⁷) +(400 /2⁸) + above this N < D

2 in 400! = 200 +100 +50+25+12+6+3+1

2 in 400 = 397

Therefore the power  of 2 in 400! is 397.

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Answer: 88.5

Step-by-step explanation:

Step 1: Address the formula, input parameters & values.

Input parameters & values:

The given numbers are 82 & 95

Step 2: Find the sum of the given two numbers.

sum = 82 + 95 = 177

Step 3: Divide the sum by 2 to get the average.

average = 177/2

= 88.5