Can you help me find the missing sides and calculate the perimeter?

Answer:

B

Step-by-step explanation:

both simplify into 4:5

22 minutes is spent doing aerobics and 38 minutes doing stretching

Let x represent the amount of time spent doing aerobics, Let y represent the amount of time spent doing stretching.

Since the goal is to do a 60-minute workout, hence:

x + y = 60     (1)

Also, 416 calories needs to be burnt hence:

12x + 4y = 416    (2)

We need to solve equation 1 and 2 simultaneously; multiply equation 1 by 4 and subtract the result from equation 2, hence:

8x = 176

x = 22 minutes

Put x = 22 in (1)

22 + y = 60

y = 38 minutes

Therefore 22 minutes is spent doing aerobics and 38 minutes doing stretching.

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Answer:

Step-by-step explanation:

Prove that 52n − 1 is divisible by 8 for all n ∈ N.

Solution

To prove by induction, we must

1. Show it is true for n = 1

2. Assume true for n and prove it is true for n + 1.

Let P(n) be the statement 52n − 1 is divisible by 8.

When n = 1, 52 − 1 = 24, which is divisible by 8.

This proves P(1).

Suppose that P(n) is true, i.e., 52n − 1 is divisible by 8.

Then 52(n+1) − 1 = 52

· 5

2n − 1 = 52

(52n − 1) + (52 − 1).

Note that 52n −1 is divisible by 8 using P(n) and also 52 −1 = 24 is divisible

by 8. Thus we have proved that P(n + 1) is true.

We conclude that P(n) is true for all n ∈ N.

Answer:

i think it's 18 but im not sure

Step-by-step explanation:

Answer:

No, she isn't

Step-by-step explanation:

(-2)² is basically -2 x -2, which we know is 4.

-2² is slightly different. In this case, you don't consider it as the square of -2, but you do the square ignoring the negative sign, and then add it at the end.

So think about it like this,

We do 2² first, and then add the minus, so it becomes -4 instead of positive 4. Does that make sense?

Answer: Incorrect

Step-by-step explanation:

Rule :

[tex](-10)^2=| -10|^2 =100 \\\\ -10^2=-(10)^2=-|10|^2=100[/tex]

Then :

[tex]\rm -2^2=-|2|^2=-4 \\\\ (-2)^2= |-2|^2=4 \\\\ Then : \\\\ -2^2 =(-2)^2 \\\\ -4 \neq 4[/tex]

The missing statements and their reason are shown below.

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

1. m∠LOM = m∠JKI and m∠MON = m∠IKH

 Reason : Given

2.  m∠LOM + m∠MON = m∠JKI +m∠MON

   Reason :equals are added to another remains equal.

3.  m∠LOM + m∠MON = m∠JKI +m∠JKH

   Reason :m∠MON = m∠IKH.

4. m∠LOM + m∠MON = m∠LON

   m∠JKI +m∠JKH = m∠HKJ

   Reason: parts are equal to whole.

5. m∠LON = m∠HKJ

   Reason: from point 3 and 4

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Answer:

JNM=42

Step-by-step explanation:

JNM is equal to LNK so you can set the equations equal to each other.

7x-21=4x+6, subtract 4x from both sides

3x-21=6, add 21 to both sides

3x=27, divide by 3

x=9, then you plug it into an equation

4 times 9 + 6

36+6

42

<JNM = [tex]42[/tex] degrees.

The angle made by two ground lines is measured horizontally , and is called a horizontal angle.

According to the question

Line J L and line M K slightly inclined with horizontal intersects at N.

<JNM = <LNK

[tex]4x + 6 = 7x - 21[/tex]

Subtract 4x from both sides

[tex]6 = 3x -21[/tex]

[tex]3x=27[/tex]

Divide by 3

[tex]x=\frac{27}{3}[/tex]

[tex]x =9[/tex]

<JNM = [tex]4x+6[/tex]

<JNM = [tex]4(9)+6[/tex]

<JNM = [tex]42[/tex] degrees

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Answer:

The price of the dress was reduced by 25%

Step-by-step explanation:

Answer:

The price for the dress was reduced by 25%.

Step-by-step explanation:

25% of 40 is 10.

40 - 10 = 30, explaining the dress' price reduction from 40 to 30.

Hope this helps!

Answer:

17. landmark

18. BANALITIES

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

Mode in math means the number that is the most frequent number found in a data set, and in this data set shown, -6 comes the most frequently.

Answer:

-6

Step-by-step explanation:

Answer:

x = 30.

Step-by-step explanation:

8x - 3(2x - 4) = 3(x - 6)

8x - 3*2x + - 3*-4 = 3*x + 3 * -6

8x - 6x + 12 = 3x - 18

2x + 12 = 3x - 18

2x - 3x  + 12 = 3x - 3x - 18

-x + 12 = -18

-x + 12 - 12 = -18 - 12

-x = -33

-x/-1 = -30/-1

x = 30.

Answer:

[tex]x=30[/tex]

Step-by-step explanation:

[tex]8x-3\left(2x-4\right)=3\left(x-6\right)[/tex]

First, we will expand [tex]-3\left(2x-4\right)[/tex] by applying the distributive property:

[tex]-3\times \:2x-\left(-3\right)\times \:4[/tex]

** [tex]-\left(-a\right)=a[/tex]

[tex]-6x+12[/tex]

[tex]8x-6x+12=3\left(x-6\right)[/tex]

Expand, [tex]3\left(x-6\right):[/tex]

[tex]3x-3\times \:6[/tex]

[tex]3x-18[/tex]

[tex]2x+12=3x-18[/tex]

Subtract 12 from both sides:

[tex]2x+12-12=3x-18-12[/tex]

[tex]2x=3x-30[/tex]

Subtract 3x from both sides:

[tex]2x-3x=3x-30-3x[/tex]

[tex]-x=-30[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{-30}{-1}[/tex]

[tex]x=30[/tex]

________________________

Step-by-step explanation:

The only equation that has 3 as the coefficient of x (a slope of 3) is ...

... d.) y = 3x+4

Happily, it also goes through the given point.

... 5/2 = 3(-1/2) +4

... 5/2 = -3/2 + 8/2 i hope this works

Answer:

The correct answer is 24

Step-by-step explanation:

To solve this math problem, you will need to divide 20.40 with 1 (1 is 100% as a decimal) and 0.15 (0.15 is 15% as a decimal).

--

[tex]20.40[/tex] ÷ [tex](1-0.15)[/tex]

--

First, subtract 1 and 0.15

[tex]1-0.15=0.85[/tex]

Next, divide 20.40 and 0.85

[tex]20.40[/tex] ÷ [tex]0.85 = 24[/tex]

--

Therefore, the final product of this math problem is 24

Answer:

Range of the third side of a triangle

Step-by-step explanation:

Any one side of a triangle must be shorter than the sum of the other two sides. Therefore, the third side length x must be between 5 and 35, not including those endpoints: 5 < x < 35. All whole numbers satisfying this range would form a triangle.

20 is a possible value for a third side

Answer:We know that the Pythagorean Theorem is a² + b² = c².  First lets start with 6, 8, and 10. There is a simple way to know that these are Pythagorean triples. They make up what is called a 3-4-5 triangle. 3 x 2 is 6, 4 x 2 is 8, and 5 x 2 is 10. Next 5, 12, and 13 are Pythagorean triplets because 5² + 12² = 13². Because both of these form right triangles, we know that they are Pythagorean triplets.

Hope this helps!

Step-by-step explanation:

Plz brainliest

The Pythagorean triples are those three numbers of which the square of a number is the sum of the squares of the other two numbers.

According to the Pythagoras theorem, in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the base and height.

Given, three numbers are 6, 8, 10.

It is clear that, 6² + 8² = 36 + 64 = 100 = 10². Therefore, these three numbers are Pythagorean triples. Hence, for a right-angled triangle, the hypotenuse is 10 and other two sides are 6 and 8 respectively.

Again, three numbers given: 5, 12, 13.

It is also clear that, 5² + 12² = 25 + 144 = 169 = 13².Therefore, these three numbers are Pythagorean triples. Hence, for a right-angled triangle, the hypotenuse is 13 and other two sides are 12 and 5 respectively.

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Answer: 35

Triangle sum theory tells us the internal angles of any triangle add up to 180. This means we can take each given angle from 180 to find the remaining angle.

Answer: $2.18

Step-by-step explanation:

 You are trying to solve for the cost of one bag or unit cost. Take

  the amount of money spent and divide it by the number of bags

  purchased.

  10.90 ÷ 5 = 2.18

Answer:

] The three consecutive even numbers are 38, 40 and 42. The smallest of the three is clearly 38.           Step-by-step explanation:Even numbers are of the form [math]2k[/math], [math] k \in \mathbb{Z}[/math]. Three consecutive even numbers are of the form [math]2k[/math], [math]2(k+1)[/math], [math]2(k+2)[/math]. We have that their sum is 120 therefore [math]\\2k + 2(k+1) + 2(k+2) = 120 \Leftrightarrow k+(k+1)+(k+2) = 60 \Leftrightarrow 3(k+1) = 60 \\ \Leftrightarrow k+1=20 \Leftrightarrow \boxed{k=19}.[/math

Answer:

like what do you want to remember.

Answer:

∠ EBF = 98°

Step-by-step explanation:

(3x - 15) and (2x + 10) are vertically opposite angles and are congruent, then

3x - 15 = 2x + 10 ( subtract 2x from both sides )

x - 15 = 10 ( add 15 to both sides )

x = 25

3x - 15 = 3(25) - 15 = 75 - 15 = 60°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ EBF is an exterior angle of the triangle , then

∠ EBF = 60° + 38° = 98°

Answer:

Sales have to be more than $7,500.

Step-by-step explanation:

850 > 400 + 0.06s

850 - 400 < 0.06s

450/0.06 < s

7500 < s

Answer:

$2715

Step-by-step explanation:

Given that 15 food booths were rented out for ‘d’ days at $100 plus $5 per day. On the food booths only, the company will earn 15($100+$5d) = $1500 + $75d Given that 20 game booths were rented out for ‘d’ days at $50 plus $7 per day. On the game booths only, the company will earn 20($50 + $7d) = $1000 + $140d

The total amount that the company is paid is therefore, $1500 + $75d + $1000 + $140d = $2500 + $215d

Answer:

0.79

Step-by-step explanation:

Answer:

if speaking in decimal terms, your answer would be  0.79/ 0.7916/ 0.79167

Step-by-step explanation:

Answer:

Associative Property of Addition

Step-by-step explanation:

According to the Associative Property of Addition: when three real numbers are added, it makes no difference which two are added first.

a + (b + c) = (a + b) + c

Therefore, in the given equality statement: (6 + 4) + 100 = 6 + (4 + 100)​, the sum of the numbers on either side of the equation will have the same results.

(6 + 4) + 100 = 6 + (4 + 100)​

(10) + 100 = 6 + (104)

110 = 110

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Answer:

watching game= 3 hours

practicing free throw= 2 hours

lifting weight=1 hour

Answer:

x = 18 or -18

Step-by-step explanation:

x^2 + 24^2 = 30^2

simplify

x^2 + 576 = 900

subtract 576 from both sides

x^2 = 324

Take square root of 324

+/- √324

x = 18 x = -18

18 or -18 is the answer

Answer: X = 20

Step-by-step explanation:

Answer: X = 20

Step-by-step explanation:

To get this

3 * 20 + 12 = 20

3*20=60

60+12=72

72