Under a given correspondence two triangles are congruent if the three sides of the one are equal to the three corresponding sides of the other
The above is known as
(a)SSS congruence of two triangles
(b)SAS congruence of two triangles
(c)ASA congruence of two triangles (d)RHS congruence of two right-angled triangles​

Answer:

x ≈ 27.2

Step-by-step explanation:

Using the sine ratio in the right triangle

sin54° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{22}{x}[/tex] ( multiply both sides by x )

x × sin54° = 22 ( divide both sides by sin54° )

x = [tex]\frac{22}{sin54}[/tex] ≈ 27.2 ( to the nearest tenth )

Answer:

domain

Step-by-step explanation:

range

Answer:

m = -1/2

Step-by-step explanation:

parallel lines always have the same slope

Answer:

She got 16/20 on the test

Step-by-step explanation:

Just divide 16/20 and the answer is 80%

Answer:

the answer is 3×3×5×5×17=3825 use prime factorization

Answer:

36

Step-by-step explanation:

3*2*6

Answer:

the amswer is d hope this helps

Answer: A

Step-by-step explanation:

Answer:

B/second option

Step-by-step explanation:

The first option is wrong because you make 30 meatballs in 30 mins but then 30 meatballs in 20 mins. If it was constant then in 20 mins you make less meatballs.

The last option is wrong because if bacteria triples, then that is exponential, not constant change.

Only the middle option makes sense. The rate of change is $35 for each hour!

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The example that has a constant rate of change is

An electrician earns $50 for the first hour plus $35 for every additional hour.

Option B is the correct answer.

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

Example:

2x = 5 is an equation.

We have,

30 minutes = 30 meatballs

20 minutes = 30 meatballs

This is not a constant rate of change.

$35 for every additional hour.

This means,

1 hour = $35

This is a constant rate of change,

Bacteria triples every hour.

This is an exponential function.

Example:

Number of bacteria initially = 2

Number of bacteria after 1 hour = 3 x 2 = 6

Number of bacteria after 2 hours = 3 x 6 = 18

This is not a constant rate of change.

Thus,

An electrician earns $50 for the first hour plus $35 for every additional hour is a constant rate of change.

Learn more about equations here:

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Answer:

25

Step-by-step explanation:

because 75 - 50 = 25

The Clare account balance after the deposit of $75 will be $25.

To subtract in mathematics is to take something away from a group or a number of objects.

In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.

As per the given,

The account balance initial = -$50

The amount of deposition = $75

Total amount = -$50 + $75

⇒ $25

Hence"The Clare account balance after the deposit of $75 will be $25".

For more about subtraction,

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Answer:

(-f+v) = -13i-15j

Step-by-step explanation:

Given that,

Vector f = (10,5) = 10i+5j

Vector v = (-3,-10) = -3i-10j

We need to find (-f+v).

Let x = (-f+v)

Plug all the values,

x = [-(10i+5j) + -3i-10j]

= (-10i-3i)+(-5j-10j)

= -13i-15j

Hence, (-f+v) = -13i-15j

Answer:

11.362 sq km

1136.2 hectares

Step-by-step explanation:

Given that:

The farm is in the shape of a rectangle.

Dimensions of the rectangular shaped land = 2.6 km by 4.37 km

To find:

Area of land bought in square km and in hectares.

Solution:

First of all, let us have a look at the formula for area of a rectangular shape figure.

[tex]Area = Length \times Width[/tex]

Here,

Length = 2.6 km

Width = 4.37 km

So, Area = [tex]2.6 \times 4.37 = 11.362\ sq\ km[/tex]

To convert square kilometers to hectares, we can use the following conversion formula:

1 sq km = 100 hectares

11.362 km = 100 [tex]\times[/tex] 11.362 = 1136.2 hectares

I hope it will help u , please Brain -list the question

As given that

L:W=5:4

L/W=5/4

L=(5/4)W

hence we also know that

Area of rectangle= L*W

As given A=160m2

putt the value of A and L=(5/4)W in above equation ,

hence      160 = (5/4)W * W

W^2 = 160*4/5

W^2 = 32*4

W^2=128

taking square root  

W= +_ 11.3  

but length can't be negative so we take positive value of W  

W=11.3 m

Now for L putt in above equation,

L=5/4 * 11.3 = 14.12 m

Answer:

28.6%

Step-by-step explanation:

Fraction: 40/140=2/7=0.2857

Converting it to percentage: 28.6%

Hope this helps!

Answer:

28.6%

Step-by-step explanation:

Try to found the wrong upper case I

I    ll    iiiiiIIIIIIllllll

hint 50-2=

put in comments plz

I seoursly took a photo of dat

=================================================

Work Shown:

Use the law of sines

b/sin(B) = a/sin(A)

b/sin(62) = 4/sin(50)

b = sin(62)*4/sin(50)

b = 4.61042489526572

b = 4.6

Make sure your calculator is in degree mode.

Step-by-step explanation:

Mass of Zinc = 870g * (40/100) = 348g.

Mass of Copper = 870g - 348g = 522g.

Mass of zinc = 40/100*870 = 348

Mass of Copper = 60/100*870 = 522

Therefore, the mass of zinic in the alloy is 348 and the mass of copper in the alloy is 522.

Answer:

x = 4/25

Step-by-step explanation

Amount of tangerines in bags sold = 25kg

If a customer bought 4kg of tangerines, the number of bags he bought is expressed as x;

4 kg = x bags

25 kg = 1 bag

Cross multiply

25 x = 4 * 1

25x = 4

Divide both sides by 25

25x/25 = 4/25

x = 4/25

Hence the required equation is x = 4/25

Answer:

So if you are in middle school like me, they are asking for an equation answer, and that equation is 4 divided by 2/5 = _ and _ x 2/5 = 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

If is an isosceles triangle, ​with base AC, AB = 3x+2, BC = 7x-6, and AC = 10x – 10, find the value of x and the length of each side of the triangle.

The sum of angles in a triangle = 180°

AB + BC + AC = 180°

3x + 2 + 7x - 6 + 10x - 10 = 180°

20x -14 = 180°

20x = 180° + 14

20x = 194

Answer:

Two possible dimensions of the rectangle are 4x and 7/2 y.

Step-by-step explanation:

The Perimeter of a Rectangle

It's given the perimeter of a rectangle is

P = 8x + 7y

The formula to calculate the perimeter of a rectangle of dimensions L and W is:

P = 2W + 2L

Equating term by term, we can guess two possible dimensions of the rectangle:

2W = 8x

Dividing by 2:

W = 4x

And also:

2L = 7y

Dividing by 2:

L = 7/2 y

Thus, two possible dimensions of the rectangle are 4x and 7/2 y.

Answer:

The first on is 64.

The second one is -64.

The last one is 10,000.

Step-by-step explanation:

I hope this helps! :)

Answer:

definitions, theorems, postulates, properties, and "given"

Step-by-step explanation:

Definitions, theorems, postulates, properties, and statements that are given are all either assumed to be true or proven to be true, and can be cited in a two-column proof.

Quotes and opinions are not statements of fact, and cannot be used in proofs.

Answer:

3

Step-by-step explanation:

down 3 over 1 3/1 or 3.

Hope this helps plz hit the crown ;D

Answer:

all real numbers

Step-by-step explanation:

distribute the 2

2x+2=-8x+12+10x-10

combine like terms on each side

2x+2=2x+2

0=0

all real numbers

Answer:

it's the one all the way to the right

Answer:

2.1

Step-by-step explanation:

Given :

Radios(X):_0 ___ 1 ___2 ___ 3 ___4 ___5

P(X=x) : 0.03 0.20 0.50 0.20 0.05 0.02

The expected weekly radio sales :

Σ(X) * p(x) : (0*0.03) + (1*0.20) + (2*0.50) + (3*0.20) + (4*0.05) + (5* 0.02) = 2.1

Hence, expected weekly radio sale = 2.1

Answer:

H equals 24

24/4 equals 6

Answer:

h = 24

Step-by-step explanation:

multiply both sides

h/4=6

4 x h/4 = 4 x 6

reduce multiply

and the solution is h = 24

Answer:

$42.75

Step-by-step explanation:

Answer:

E D C are the answers for the questions