The angles in a triangle are in the ratio 1:2:3. Show that this triangle is a right-angled triangle. The hypotenuse of the triangle is 19 cm long. Calculate the length of the shortest side in the triangle

Answer:

-7x+14=4x-19

          -7x

      14-3x-19

         -3x-15

Step-by-step explanation:

Answer:

35/128

Step-by-step explanation:

7 coins are tossed, each coin has two possibilities therefore total number of possibilities are 2^7 = 128. The possibilities of obtaining 4 heads and 3 tails is 7C4 = 7C3 = 35. Therefore the probability of obtaining 4 heads and 3 tails 35/128.

Answer:

  y = 0.01(x +7)(x +3)

Step-by-step explanation:

For intercepts p and q, the equation will be ...

  y = a(x -p)(x -q)

For the given intercepts, the equation is ...

  y = a(x +7)(x +3)

We can find the value of 'a' by using the given point:

  0.05 = a(-2+7)(-2+3) = 5a

  0.01 = a . . . . divide by 5

The complete equation is ...

  y = 0.01(x +7)(x +3)

Answer:

No

Step-by-step explanation:

The answer should of been -14

Answer:

-8 feet

Step-by-step explanation:

Answer:

The first option

Step-by-step explanation:

First, we can convert all of the numbers to decimal from (it will be easier to understand that way).

[tex]\pi = 3.14\\\\\sqrt{8} = 2.82\\\frac{\sqrt{2} }{4} =.353[/tex]

Now, we can easily see which numbers are bigger/smaller.

Answer:

5.8cm < 580mm

Step-by-step explanation:

Since 1mm=0.1cm, then 580mm=58cm which is bigger than 5.8cm, so therefore 5.8cm < 580mm

Answer: 5.8cm < 580mm

Its really easy if you think about it for a second.

Answer:

10⁻⁵

Step-by-step explanation:

1 / 100000

1 / 10⁵

10⁻⁵

After solving the given fraction, the value of power of 10 will be equal to 10⁻⁵.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the information in the question,

The given fraction is,

1/10000

The value, 100000 is in the  denumerator so, the power should be in negative.

So, it can be written as,

1 × 10⁻⁵.

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Step-by-step explanation:

(56+56)+(34+34)

2(56+34)

2(90)

180

hope it helps!

The variable expression c/2 represents the quotient of c and 2, where c can be any numerical value or variable.

To write "the quotient of c and 2" as a variable expression, we can use the division operation to represent the quotient.

The variable expression would be:

c/2

c represents the variable, and dividing c by 2 gives us the quotient of c and 2.

Let's break it down further to understand this expression in more detail:

The term "quotient" refers to the result of dividing one quantity by another.

We are interested in the quotient of c and 2.

The variable c represents an unknown value or a variable that can take on different numerical values.

The number 2 is the divisor or the quantity by which we divide c to find the quotient.

By using the division operator (/), we can create a variable expression that represents the quotient of c and 2.

We evaluate this expression by substituting specific values for c, we will obtain the result of dividing c by 2.

If we let c = 10, then the expression c/2 would evaluate to 10/2, which equals 5.

If c = 6, the expression c/2 would evaluate to 6/2, which equals 3.

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Answer:

-68 < -63 < -47 < -44 < -34

Answer:

C

Step-by-step explanation:

Zheng made a mistake as the side AC does not correspond to the side CD. The correct option is C.

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle. An included angle is found between two sides that are under consideration.

In the given figure the triangles △ABC and △CED are similar the incorrect statement made by Zheng is that the side AC does not correspond to the side CD.

It means that the △ABC and △CED will not be similar to each other. But the two triangles △ABC and △CED are similar.

Therefore, Zheng made a mistake as the side AC does not correspond to the side CD. The correct option is C.

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Answer:

Sum of 3 angles in a triangle=180

x+55+72= 180

x+ 127=180

x= 180-127

x= 53

Answer:

63 degrees

Step-by-step explanation:

All angles of a triangle always add up to 180 degrees.

So you take both angles and add them together-55+72=117

You then would take 180 and subtract the total- 180-117=63

And that would be your final answer  

Answer:

x+7

Step-by-step explanation:

dfghvnskdfcnvskdfc

Step-by-step explanation:

6(x-4)+x=5(x-2)

First we combine like terms.

6x-24+x=5x-10

7x-24=5x-10

-5x      -5x

2x-24=-10

   +24=14

2x=14

/2   /2

x=7

Sorry if it's wrong

Answer:

solve the bracket first that is -7+15 = 9 *7 = 63

Step-by-step explanation:

Answer:

3) Y = -1.5

Step-by-step explanation:

7=-2y+4

We move all terms to the left:

7-(-2y+4)=0

We get rid of parentheses

2y-4+7=0

We add all the numbers together, and all the variables

2y+3=0

We move all terms containing y to the left, all other terms to the right

2y=-3

y=-3/2

y=-1+1/2

Answer:

.

Step-by-step explanation:

Answer:

3.5 centimeters

Step-by-step explanation:

The total length of segment AC is 7.2 cm. The second segment AB, is 3.7 cm. If you subtract 3.7 from 7.2 you will get 3.5 cm.

Answer:

x=-3.5 or -7/2 (same thing)

y=21/5

Step-by-step explanation:

x intercept is when y=0

y intercept is when x=0

so

x intercept is

-6x=21

x=21/-6

x=-3.5

y intercept is

5y=21

y=21/5

Answer:

12

Step-by-step explanation:

21-9

12

Answer:

The answer is 12

Step-by-step explanation:

|21| = just 21

|-9| = positive 9

so take that into this:

21 - 9 = 12

Answer:

Step-by-step explanation:

=5

Answer: 1.5x

Step-by-step explanation:

Answer:

1.5x + 3 = y

Step-by-step explanation:

−6x = 12 − 4y

1.  Subtract 12 from both sides: −6x − 12 = −4y

2.  Divide −4 to both sides: -6x-12 over -4 = -4y over -4

 From the given options, Option (C) shows the type of compound interest earned.

  Formula for the compound interest earned continuously is given by,

[tex]A=P.e^{rt}[/tex]

Here, [tex]A=[/tex] Final amount

[tex]P=[/tex] Principal amount

[tex]r=[/tex] rate of interest

[tex]t=[/tex] Time

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

Learn more,

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Answer:

If your phone is set on vibrate, then it will not disturb others.

Step-by-step explanation:

It's an if then statement.

Answer:

I think that the answer would be y=18x−127

Answer:

13

Step-by-step explanation:

x-4=9

+4  +4

x=13

Answer:

13

Step-by-step explanation:

Step 1:

x - 4 = 9

Step 2:

x = 9 + 4

Answer:

x = 13

Hope This Helps :)

Answer:

Step-by-step explanation:

28x pi=87.96 in

Answer:

He became king of the Franks and then conquered other lands.

Step-by-step explanation:

Charlemagne became king of the Franks after the death of his father, Pepin the Short.

He inherited a sizeable portion of land that included what is now France, the Low Countries, and parts of Germany.

Charlemange launched several military campaigns throughout his long reign (he ruled for 46 years), and was highly successful in most of them. He conquered Northern and Central Italy, what is now Switzerland and Austria, and the majority of modern day Germany.

He was crowned Holy Roman Emperor in the year 800 by Pope Leo III. In exchange for this, Charlemange ceded a section of Central Italy to the Pople: the Papal States, which would be under direct control of the Roman Catholic Church until the Napoleonic Era.

Answer:

b

Step-by-step explanation:

Answer:

y = 2x - 2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define

Slope m = 2

Random point (-1, -4)

y = 2x + b

Step 2: Find b

-4 = 2(-1) + b

-4 = -2 + b

-2 = b

Step 3: Rewrite linear equation

y = 2x - 2