if 7 dancers were at a dance and 46 more came in and h left and there was 13 dancers left how many was h

Which of the following equations have no solution? Check all that apply.

Vinil7 [7]

Answer:

A and E

Step-by-step explanation:

6 0

2 years ago

Please answerrrrr Thank you!!!!!!!!!!!!

dlinn [17]

The correct answers are:

_________________

" (x − 13) ° = 53 ° " ;

_________________

" x = 66 " ;

_________________

" m∠2 = 55° " ;

_________________

" m∠1 = 55° " .

__________________

Step-by-step explanation:

Note: The following "given values/answers" within the attached image:

Specifically:

(x − 13)° = 72° ; and;

x = 85° ;

_________________

are: "incorrect"—and are "arbitrarily assigned values"

_________________

The values and expressions given in the attached image, however, are correct/do make sense; and we can use such data to solve the problem.

_________________

Let's start by finding the measure of ∠2 ; that is: " m∠2 " :

To find m∠2:

_________________

Note that: both: "∠2 " ; and the angle that measures "175" with the attached image:

→ both form a straight line—that is;

→ they are "supplementary angles" ;

→ which means they add up to "180° " ;

_________________

So: To solve for: "m∠2" :

_________________

→ m∠2 = 180 − (125) = 55° ,

_________________

Now; to solve for: " m∠1 " :

_________________

Note that ∠1 and ∠2 are vertical angles: which means that they have equal measurements;

{since: vertical angles are congruent; which means that vertical angles are equal.} ;

_________________

→ As such, m∠1 = m∠2 = 55 °.

_________________

Now, take either ∠1 or ∠2 ; (each has the same "measurement"—"55° " ;

And combine with angle with the given measurement of 72° ;

And combine with the angle with the "given measurement of [the expression: ["x − 13"]° ;

_________________

All three of these angles form a straight line—that is;

→ they are "supplementary angles" ;

→ which means they add up to "180° " ;

So, 55° + 72° + (x − 13)° = 180° ;

Let us solve for "x" ; and for "(x − 13)" ;

_________________

55 + 72 = 127 ;

→ 127 + (x − 13) = 180 ;

Now, subtract "127" from each side of the equation:

_________________

→ 127 + (x − 13) − 127 = 180 − 127 ;

to get:

" (x − 13) = 53 " ; → which is one of our answers;

Now, to solve for "x" ; we add "13" to Each Side of the equation;

to isolate "x" on one side of the equation; & to solve for "x" :

_________________

x − 13 + 13 = 53 + 13 ;

to get:

_________________

x = 66 ;

_________________

So: The correct answers are:

_________________

" (x − 13) ° = 53 ° " ;

→ Double check by substituting our value of "66" for "x" :

" (66 − 13) =? 53 ? Yes! ;

_________________

" x = 66 " ;

_________________

" m∠2 = 55° " ;

_________________

" m∠1 = 55° " .

_________________

Hope these answers—and explanations—are helpful!

Best wishes!

_________________

3 0

2 years ago

Joan adopt two kittens snowflake has a mass of 2 kg and midnight has a mass of 997 g what is the difference between the masses o

exis [7]

Answer:

Given,

mass of snow flake = 2 kg

mass of midnight = 997 gm

Now,

1 kg = 1000 gm

2 kg = 1000 * 2

= 2000 gm

therefore the difference between the masses of the kittens = 2000

- 997

= 1003 gm (is the answer)

7 0

3 years ago

A scientist has a sample of bacteria that initially contains 10 million microbes. They observe the sample and finds that the num

sergiy2304 [10]

Answer:

M(t) = 6.7 * 10⁷ (67 million)

Minutes (t) =55

Step-by-step explanation:

1. Write an exponential equation that represents M, the total number of bacterial microbes in millions, as a function of t, the number of minutes the sample has been observed.

For answering this question, we will use the following formula:

M(t) = B₀ * g ^(t/m), where:

•M(t) represents the total number of bacterial microbes in millions.

• B₀ represents the initial population of bacteria in millions.

• g represents the growth factor.

• t represents the total number of minutes we will observe the bacteria growing.

• m represents the time in minutes it takes to the growth factor g to occur.

2. Then, determine how much time, to the nearest minute, will pass until there are 67 million bacterial microbes.

M(t) = B₀ * g ^(t/m)

Replacing with the values we know:

6.7 * 10⁷ = 10⁷ * 2 ^(t/20)

6.7 = 2 ^(t/20) (Dividing by 10⁷ at both sides)

ln 6.7 = ln 2 ^(t/20)

ln 6.7 = t/20 ln 2

ln 6.7/ ln 2 = t/20

t = ln 6.7/ln 2 * 20

t = 2.74 * 20

t = 54.88

t ≅ 55 (rounding to the nearest minute)

3 0

2 years ago

For the following right triangle, find the side length x. Round your answer to the nearest hundredth

garik1379 [7]

Answer:

7.94

Step-by-step explanation:

$a^{2} + 9^{2} =12^{2} \\a^{2} +81 = 144\\a^{2} = 63\\a = \sqrt{63} \\a= 7.93725$

3 0

2 years ago