iven triangle abc and def which of the following statements must be true

LMK ASAP

Answer:

0.777777778

Step-by-step explanation:

it is a terminating digit

Answer:

Step 4

Step-by-step explanation:

Step 4 was incorrect

Answer:

3. Standard deviation is the square root of the variance.

4. Standard deviation is useful because it has the same units as the underlying data.

Step-by-step explanation:

3. In statistics, the dispersion in a given data with respect to its mean distribution can be determined or measured by standard deviation and variance. The standard deviation of a distribution can also be determined as the square root of variance.

4. Standard deviation is measured in the same units as that of the original data. Thus it has the same units as the underlying data.

Answer:

240 degrees

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

140 divided by 4 is 30

We are being told that:

A leaf fell in the river:

We are to determine how many meters the leaf travel per minute.

SO;

Let the number of meters he traveled in one minute be (x).

i.e.

∴

140 meters = 4 minutes

x meters = 1 minutes

By cross multiply and making x the subject of the formula; we have:

[tex]\mathbf{(x) meters = \dfrac{140 meters \times 1 minute}{ 4 minutes}}[/tex]

x = 35 meters

Therefore, we can conclude that the leaf travels a distance of 35 meters per minute.

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Answer:

35

Step-by-step explanation:

Answer:17

Step-by-step explanation:

Formula for the term of a geometric sequences has been defined as,

"Each number is 4 less than 3 times the previous numbers"

Therefore, recursive formula will be,

[tex]T_n=3(T_{n-1})-4[/tex]

Now we will use this formula to build the sequence,

A). If [tex]T_1=10[/tex],

    Then [tex]T_2=3(10)-4=26[/tex]

     [tex]T_3=3(26)-4=74[/tex]

     [tex]T_4=3(74)-4=218[/tex]

     [tex]T_5=3(218)-4=650[/tex]

     Therefore, the sequence will be,

      [tex]10,26,74,218,650[/tex]

B). If [tex]T_1=1[/tex],

    Then [tex]T_2=3(1)-4=-1[/tex]

    [tex]T_3=3(-1)-4=-7[/tex]

    [tex]T_4=3(-7)-4=-25[/tex]

    [tex]T_5=3(-25)-4=-79[/tex]

    Therefore, the sequence will be,

    [tex]1,-1,-7,-25,-79[/tex]

C). If, [tex]T_1=5[/tex],

    Then, [tex]T_2=3(5)-4=11[/tex]

     [tex]T_3=3(11)-4=29[/tex]

     [tex]T_4=3(29)-4=83[/tex]

     [tex]T_5=3(83)-4=245[/tex]

    Therefore, the sequence will be,

     [tex]5,11,29,83,245[/tex]

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The length of segment AB is,

AB = 9 units

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

In triangle ADC,

AC = 9

AD = 16

Hence, We have;

Line l is divide the base AC in two equal parts.

Hence,

⇒ AB = AC

This gives,

AB = 9 units.

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Answer:

NONE simply because they both are not possible

Answer: 3 × 10⁴ miles²

Step-by-step explanation:

Given that:

Estimated Surface area of Lake = 30,000 square miles

Expressing the estimated area as a whole number multiplied by a power of ten

Hence, we are required to express the surface area in standard form:

30,000 miles ² in standard format:

30,000 is equivalent to (3 × 10,000)

3 is a whole number

10,000 = (10 * 10 * 10 * 10)= 4 th power of 10

10,000 = (10 * 10 * 10 * 10) = 10⁴

Hence,

3 × (10 * 10 * 10 * 10) = 3 × 10⁴ miles²

Answer:

12

Step-by-step explanation:

13 + 6 + 2x -18 = 4x - 29

19 + 2x -18 = 4x -29

2x + 1 = 4x - 29

30 = 2x

15 = x

CD = 2(15) -18

CD = 30 -18

CD = 12

Answer:

A

Step-by-step explanation:

Answer:

The final price is $33.80.You saved $18.20.

Step-by-step explanation:

Answer:

The original price was $80.

Step-by-step explanation:

The original price is x.

x is the full original price, so it is 100% of the original price.

The sale is 35%, so we subtract 35% from 100%.

100% - 35% = 65%

Since the discount was 35%, then the sale price is only 65% of the original price.

65% of the original price is $52

65% * x = 52

0.65x = 52

x = 52/0.65

x = 80

Answer: The original price was $80.

Answer:

6.1 in

Step-by-step explanation:

√37=6.08276

6.1 in

The side of the square poster will be 6.1 in.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the square in a two-dimensional plane is called the area of the square. For the square, all the sides are equal to each other.

Given that the area of a square poster is 37 square inches the value of one side will be calculated by using the area formula:-

Area of square = Side²

Side²= √37

Side² = 6.08276

Therefore, the side of the square poster will be 6.1 in.

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Answer:

  7π/2

Step-by-step explanation:

The period is the value of x that makes the cosine argument be 2π:

  4/7x = 2π

  x = (7/4)(2π) = 7π/2 . . . the period

Answer:

The inverse of this function is f(x) = 3x - 6.

You can find the inverse of any function by switching the f(x) and x values. Once you've done that, solve for the new f(x). The result will be the inverse function. The step-by-step process is below.

f(x) = 1/3x + 2 ---> Switch f(x) and x values

x = 1/3f(x) + 2 ---> Subtract 2 from both sides

x - 2 = 1/3f(x) ----> Multiply both sides by 3

3(x - 2) = f(x) ----> Distribute the 3

3x - 6 = f(x) ----> Place in the proper order for formatting purposes

f(x) = 3x - 6

And that is your inverse function.

Step-by-step explanation:

Answer:

d i think

Step-by-step explanation:

The solution is Option D.

No , because (0) is not 2,708.92

The value of the function f ( 0 ) ≠ 2708.92

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

f ( x ) = 2,708.92(1.12) - 12

On simplifying the equation , we get

To find the initial amount , substitute x = 0

when x = 0

Substitute the value of x in equation , we get

f ( 0 ) = 2708.92 ( 0 ) - 12

f ( 0 ) = -12

Therefore , the initial amount is -12

Hence , the value of the equation f ( 0 ) ≠ 2,708.92

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Answer:

= (57/5)×(19/8) =(57/5)×(8/19) =456/95

Step-by-step explanation:

Answer:  Felipe made 24 sand art bottles.

Step-by-step explanation:

Given: Total different colors of sand = 9

Weight of each color sand = 1 pound

Then, the weight of all 9 colors would be  9 × 1 = 9 pounds

Since 1 pound = 16 ounces

Then, 9 pounds = 9 × 16 = 144 ounces

capacity of each bottle = 6 ounce

Then, the number of bottles required = ( 144 ounces) ÷ 6

= 24

Hence,  Felipe made 24 sand art bottles.

Answer:

24 art bottles

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{45 - 21h}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{7(5 - 3h)}[/tex]

Distribute 7 through the parentheses

[tex] \dashrightarrow{ \sf{7 \times 5 - 7 \times 3h}}[/tex]

[tex] \dashrightarrow{ \sf{45 - 21h}}[/tex]

Hope I helped!

Best regards! :D

Answer:

14h

Step-by-step explanation:

7(5-3h)

you do distributive property on the first step.

35-21h

then you subtract the two.

14h is your answer.

Step-by-step explanation:

7/8 ÷ 40 = 0.0218

7/8 x 40 = 35

Answer:

The numbers in 7/8 divided by 40 are labeled below:

7 = numerator

8 = denominator

40 = whole number

To make it a fraction form answer, you keep the numerator and multiply the denominator by the whole number to make a new denominator:

7

8 x 40

 =    

7

320

Thus, the answer to 7/8 divided by 40 in fraction form is:

7

320

To make the answer to 7/8 divided by 40 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

7/320 = 0.0219

The answer is rounded to the nearest four decimal points if necessary.

Step-by-step explanation:

Answer:

13.5

Step-by-step explanation:

106.65 mi / 7.9 gallons = 13.5 miles per gallon

Answer:

9<(5+7). the answer is 12

Step-by-step explanation:

hope it helps : )