MATHEMATICS HIGH SCHOOL

Divide. −5 5/8÷5
...........................................

Answers

Answer 1
Answer:

The answer is -1 1/8
Answer 2
Answer:

Answer by JKismyhusbandbae:

\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 5(5)/(8)=(45)/(8)\n=-(45)/(8)/ \:5\n\mathrm{Convert\:element\:to\:fraction}:\quad \:5=(5)/(1)\n=-(45)/(8)/ (5)/(1)\n\mathrm{Apply\:the\:fraction\:rule}:\quad (a)/(b)/ (c)/(d)=(a)/(b)* (d)/(c)\n=-(45)/(8)* (1)/(5)\n\mathrm{Cross-cancel\:common\:factor:}\:5\n=-(9)/(8)\n\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad (9)/(8)=1(1)/(8)\n

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Which comes first domain or range

Answers

they are intertwined the domain is the allowed values of the independent varialbles and the range is the allowed values of the dependent variable.
in order for this to work.range comes first because for example a 100-500 range between the phone cost

How could you use the product of 108 and 4 find the product of 324 and 4

Answers

324 is exactly three times 108. Thus, the product of 324 and 4 is exactly three times the product of 108 and 4.

What is product?

In mathematics, a product is the outcome of multiplying two or more numbers together.

The outcome of multiplication is a product, or a factor, which is an expression that specifies the objects (numbers or variables) to be multiplied.

For instance, the result of multiplying 2 and 5 together is 10, or the product. Math requires a lot of multiplication.

Explanation:

Since, 324 is exactly three times 108,

324 = 3 x 108.

Therefore,

324 x 4 = (3 x 108) x 4

324 x 4 = 3 x (108 x 4)

Solving,

108 x 4 = 432

therefore,

324 x 4 = 3 x 432

324 x 4 = 1296.

As, shown above we can use the product of 108 and 4 to find the product of 324 and 4.

Thus, you multiply the product of 108*4 by thee to get 324*4

Therefore, 324 is exactly three times 108. Thus, the product of 324 and 4 is exactly three times the product of 108 and 4.

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108 x 4 = 432 and 432 x 3 = 1296 = (324 x 4)

When the lights go out at the store at night there's a 15% off sign hanging out by the make up counter what is a number as a decimal and a fraction in simplest form

Answers

Answer:

As per the given statement: when the lights go out at the store at night there's a 15% off sign hanging out by the make up counter.

To find the number as a decimal and a fraction in simplest form.

Given the Number = 15%.

If we convert any number from percent to decimal divide by 100 and remove the % sign.

(15)/(100) = 0.15

Then the given number in decimal is, 0.15

Now, to convert this percent into fraction;

(15)/(100)

Divide both numerator and denominator by 5 to get;

((15)/(5) )/((100)/(5) ) = (3)/(20)

Therefore, the given number in fraction is; (3)/(20)

If triangle DEF has a 90° angle at vertex E, which statements are true? Check all that apply.Triangle DEF is an obtuse triangle.
The angle at vertex D is acute.
The angle at vertex F is obtuse.
Triangle DEF is a right triangle.
The angle at vertex D is obtuse.

Answers

draw a diagram (shown below as attachment)

check each option

1st one: obtuse triangle
osbuse means that the triangle has an angle more than 90 degrees
remember that all angles add to 180
90 is one
90+D+F=180
D+F=90
so those 2 mystery angles both have to be less than 90 so therefor none of them can be obtuse
not 1st option


2nd: angle at D is acute
acute means less than 90
so we remember that
D+F=90
no angle can be 0 so let's say F is a very small number like 0.0001
then D would be 89.9999
still less than 90, it is acute
this 2nd optin is right

3rd: angle at F is obtuse
wrong, from 1st one,  no obtuse angles
3rd option is wrong

4th: right triangle
duh, a right triangle has a right angle in it
90 degrees is a right angle
yes
4th optin is right

5th: D is obtuse
naw, fam. no obtuse angles here



the right answers are 2nd and 4th or
The angle at vertex D is acute and
Triangle DEF is a right triangle

Answer:

In other words, A, D.

Step-by-step explanation:

Each exterior angle of a regular polygon is 9°Calculate the number of sides of the polygon​

Answers

Answer:

40

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

Divide this by the value of 1 exterior angle to find the number of sides n

n = 360 ÷ 9 = 40

Answer:

Required Answer:-

Let the number of sides=x

  • Each angle measures 9°

As we know that in a polygon

{\boxed{\sf Sum\;of\:exterior\:angles=360°}}

  • Substitute the values

{:}\longrightarrow\sf 9x=360

{:}\longrightarrow\sf x={\frac {360}{9}}

{:}\longrightarrow\sf x=40

\thereforeNumber of sides=40.

Given that RT ≅ WX, which statement must be true?RT + TW = WX + TW
RT = 2(RX)
WX = 2(RX)
RT + TW = RX

Answers

This statement must be true as RT + TW = WX + TW, which is correct option (A).

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

SSS stands for Side-Side-Side criterion. According to this, two triangles are congruent if three sides of a triangle are equal to the corresponding sides of the other triangle.

Since RT ≅ WX, RT and WX are represent congruent

So we can say that for all kinds of reasons, they are absolutely equal.

Given that, we can substitute RT with WX in the equations and solve them to check which one is valid. The valid equation will be to true statement.

For RT + TW = WX + TW

Substitute RT = WX in the equation

RT + TW = WX + TW

WX + TW = WX + TW

Subtract TW from both sides of the equation

WX + TW - TW = WX + TW -TW

WX = WX

Since RT ≅ WX,

Therefore RT and WX are exactly equivalent and interchangeable as a result, the equation WX = WX is true..

Hence, this statement must be true as RT + TW = WX + TW

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RT + tw = wx + tw is the right answer
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