What special marks are used to show that segments are congruent

∠n and ∠p are supllementary angles, therefore m∠n + m∠p = 180°.

[tex]m\angle p=21x+25\\\\m\angle n=\dfrac{675x-27}{3}=\dfrac{675x}{3}-\dfrac{27}{3}=225x-9[/tex]

therefore

[tex](21x+25)+(225x-9)=180\\\\(21x+225x)+(25-9)=180\\\\246x+16=180\qquad|-16\\\\246x=164\qquad|:246\\\\x=\dfrac{164}{246}\\\\x=\dfrac{2}{3}[/tex]

[tex]m\angle p=21x+25[/tex]

substitute

[tex]m\angle p=21\cdot\dfrac{2}{3}+25=7\cdot2+25=14+25=39^o[/tex]

[tex]m\angle n=225x-9[/tex]

substitute

[tex]m\angle n=225\cdot\dfrac{2}{3}-9=75\cdot2-9=150-9=141^o[/tex]

Angles on a straight line add up to [tex]180^o[/tex].

Given that:

[tex]\angle p = 21x + 25[/tex]

[tex]\angle n = \frac{675x - 27}3[/tex]

To calculate the value of x, we use:

[tex]\angle p + \angle n = 180^o[/tex] --- angle on a straight line.

So, we have:

[tex]21x + 25 + \frac{675x - 27}{3} = 180[/tex]

[tex]21x + 25 + 225x - 9 = 180[/tex]

Collect like terms

[tex]21x + 225x = 180 + 9 - 25[/tex]

[tex]246x = 164[/tex]

Divide both sides by 246

[tex]x = \frac 23[/tex]

To calculate the measures of p and n, we substitute [tex]x = \frac 23[/tex] in

[tex]\angle p = 21x + 25[/tex]

[tex]\angle n = \frac{675x - 27}3[/tex]

So, we have:

[tex]\angle p = 21x + 25[/tex]

[tex]\angle p = 21 \times \frac 23 + 25[/tex]

[tex]\angle p = 39[/tex]

[tex]\angle n = \frac{675x - 27}3[/tex]

[tex]\angle n = \frac{675 \times 2/3 - 27}{3}[/tex]

[tex]\angle n = 141[/tex]

Hence, the value of x is 2/3.

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Griffin used $60 on his credit card.

16 - 76 = 60

Final answer:

After applying a $16 credit to the purchase of $76 sneakers, Griffin charged $60 to his credit card.

Explanation:

Griffin has purchased sneakers online. The cost of the sneakers is $76, and he applied a $16 credit towards this purchase. To find out how much Griffin charged to his credit card, we need to subtract the credit from the total cost of the sneakers.

Calculation:
$76 (Total cost of sneakers) - $16 (Credit applied) = $60

Therefore, Griffin charged $60 to his credit card for the sneakers.

You would add the exponents so it'll be 2^3+2^4=2^7 and the same for the bottom which is gonna be -1.

5(2x +8) = -8x + 4

Use distributive property:

10x +40 = -8x + 4

Subtract 40 from each side:

10x = -8x -36

Add 8x to each side:

18x = -36

Divide both sides by 18:

x = -36 / 18

x = -2

The number is -2

Answer:

10

Step-by-step explanation:

2/3 x 15 = 10

The algebraic expression '5c + 12d - 6' cannot be simplified without knowing the values of the variables 'c' and 'd'. With specific values, you will be able to simplify the expression. For example, if c is 2 and d is 3, the expression simplifies to 40.

The expression given, 5c + 12d - 6, is an algebraic expression which consists of variables, constants, and operations. Here, the variables are 'c' and 'd', the constants are 5, 12 and -6, and the operations are addition and subtraction.

In order to simplify this expression, we should know the values of the variables. Without knowing the specific values of 'c' and 'd', the expression 5c + 12d - 6 cannot be simplified any further.

Let me explain with an example. If 'c' is 2 and 'd' is 3, you would replace the variables 'c' and 'd' in the expression with their given values. This would give: 5(2) + 12(3) - 6 = 10 + 36 - 6 = 40. But without specific values for 'c' and 'd', the expression remains as 5c + 12d - 6.

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they all have the same area bc they are the same triangge

Step 1. Simplify 7/9(6x - 36) to 7(6x - 36)/9

23 = 7(6x - 36)/9 + 9

Step 2. Factor out the common term

23 = 7 * 6(x - 6)/9 + 9

Step 3. Simplify 7 * 6(x - 6) to 42(x - 6)

23 = 42(x - 6)/9 + 9

Step 4. Simplify 42(x - 6)/9 to 14(x - 6)/3

23 = 14(x - 6)/3 + 9

Step 5. Subtract 9 from both sides

23 - 9 = 14(x - 6)/3

Step 6. Simplify 23 - 9 to 14

14 = 14(x - 6)/3

Step 7. Multiply both sides by 3

14 * 3 = 14(x - 60

Step 8. Simplify 14 * 3 to 42

42 = 14(x - 6)

Step 9. Divide both sides by 14

42/14 to x - 6

Step 10. Simplify 42/14 to 3

3 = x - 6

Step 11. Add 6 to both sides

3 + 6 = x

Step 12. Simplify 3 + 6 to 9

9 = x

Step 13. Switch sides

x = 9

Final answer:

The solution to the equation is x = 9.

Explanation:

To solve for x, we need to isolate it on one side of the equation.

Let's start by distributing 7/9 to the terms inside the parentheses:

23 = (7/9)(6x - 36) + 9

Next, simplify the expression inside the parentheses:

23 = (7/9)(6x) - (7/9)(36) + 9

Now, multiply 7/9 with 6x and 36:

23 = (42/9)x - (252/9) + 9

Simplify the fractions:

23 = (14/3)x - (28/1) + 9

Combining the constants:

23 = (14/3)x - 19

Add 19 to both sides:

23 + 19 = (14/3)x

Now we have:

42 = (14/3)x

To isolate x, divide both sides by 14/3:

42 / (14/3) = x

Simplify the expression:

42 * (3/14) = x

Now, calculate:

x = 9

Problem

You deposit $5000 into a bank account paying 6.3% simple interest per year. You left the money in for 3 years. How much interest do you get at the end of those 3 years?

Result

The interest is $945.

Then you add 5000 to your interest rate of 945 so your answer would be 5945 . I think I'm not that great with math but I really hope I helped .

Answer:

Transformation : [tex](x,y)\rightarrow (x,-y)[/tex]

Step-by-step explanation:

We are given pre-image is above x-axis abd original figure below x-axis.

As we know y-axis below x-axis always negative. When we translate about x-axis only y value of each coordinate change.

x-coordinates remain same.

Best transformation for below x-axis to above x-axis would be [tex](x,y)\rightarrow (x,-y)[/tex].

For example, (2,-3) change to (2,3)

This is valid to all types of figures which form below x-axis.

Remark

The key to this question is to get the original price (36) down to 29.52. In other words, what % will when multiplied by 36 will result in 29.52?

Solution

36 * (x/100) = 29.52   Multiply both sides by 100

36 * x = 29.52 * 100  The 100 on the left disappears.

36 * x = 2952              The decimal disappears. Divide by 36

x = 2952/36

x = 82%

That is not your answer. That just tells you what % of 36 is that would give 29.52

Answer

The % discount is 100 - 82 = 18%. That is the % discount.

Final answer:

The percentage discount on the boots is calculated by first finding the discount amount ($6.48) and then dividing it by the original price ($36.00), which gives us an 18% discount.

Explanation:

To calculate the percentage discount on the boots, we must first determine the amount of the discount. The discount is the difference between the original price and the sale price, which is $36.00 - $29.52 = $6.48.

Next, we calculate the percentage discount using the formula:

Percentage Discount = (Discount ÷ Original Price) × 100%

Substituting in our numbers:

Percentage Discount = ($6.48 ÷ $36.00) × 100%

Percentage Discount = 0.18 × 100%

Percentage Discount = 18%

So, Jeremiah received an 18% discount on the boots.

Slope = change in y /change in x

(0, 7), (0, −8)

Slope "m"= -8-7/0-0

M= -15/0

M= undefined

The slope of the line passing through the pairs of points (0, 7), and (0, −8) is not defined.

Here,

We have to find the slope of the line passing through the pairs of points (0, 7), and (0, −8).

What is slope of the line?

A measure of its steepness is called slope of line.

Now,

The points are (0, 7) and (0, -8)

Hence, Slope of the line is calculate as;

[tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

[tex]m = \frac{-8 -7 }{0}-0 } = \frac{-15}{0}[/tex]

Which is undefined.

Hence, The slope of the line passing through the pairs of points (0, 7), and (0, −8) is not defined.

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Answer:

Could you include the entire picture in your question please? It would help me to answer your question.

Step-by-step explanation:

b1 = 2A/h - b2 would be your answer from what I can see in the picture.

Givens

Let the number of students in the class be x

Let the number of pieces of gum she gave out be 3x

Equation

3x + 8 = 168 This will not work out evenly. Let's try x - 1. The reason for that is because she may not give out anything to herself.

3(x - 1) + 8 = 168      This doesn't work either.

Well we have to choose. It's a rounding problem.

3x + 8 = 168     Subtract 8 from both sides.

3x = 168 - 8      Combine

3x = 160           Divide by 3 on both sides.

x = 160 / 3

x = 53.333333333

Since that can't be, we could say there were 53 students.

3x

The fractions in this equation are 3/4 and 5/6. The denominators of those fractions are 4 and 6. The lowest common multiple (LCM) of the numbers 4 and 6 is 12. The LCM is 12 because this is the smallest multiple 4 and 6 have in common

Multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, ....

Multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, ....

The LCM has been highlighted in bold to make it easier to spot

Therefore, the LCD (lowest common denominator) of the fractions is 12. If we were to multiply both sides of this equation by the LCD, then we will clear out the fractions entirely to have whole numbers only left over.

Check out the attached image below for the steps of this process.

Final Answer: 9x + 36 = 10

Answer:

Most expensive thing she can afford after 7 years is of worth 2560$

Explanation:

We need to calculate the interest on $2000 at 4% interest per year after 7 year(s).

The formula we'll use for this is the simple interest formula, I = P*r*t, I is the interest after t years, r is interest rate and P is the invest amount.

P = 2000$, r = 4/100 = 0.04, t = 7 years

So , I = 2000* 0.04 * 7 = 560$

Total amount she can retrieve from bank = P+I = 2000 + 560 = 2560$

Most expensive thing she can afford after 7 years is of worth 2560$

Answer:

The answer is (a mountain bike priced at $2,500) In Plato

Step-by-step explanation:

32

PEDMAS - order of operations

Parenthesis

Exponents

Divide

Multiply

Add

Subtract

Answer:

33

Step-by-step explanation:

Parenthesis First:

3 * 4 = 12

Now Exponents:

6 ^ 2 = 36

2 ^ 4 =16

Put It Together:

36 + 13 = 49

49 - 16 = 33

Answer: B) [tex]\frac{2-0}{3-0}=\frac{4-2}{6-3}[/tex]

Step-by-step explanation:

1. You can calculate the slope by applying the following formula:

[tex]m=\frac{y_{2}.y_{1}}{x_{2}-x_{1}}[/tex]

2. The point A is (0,0) and the point C is (3,2).

Where:

[tex]y_{2}=2\\y_{1}=0\\x_{2}=3\\x_{1}=0[/tex]

3. The point C is (3,2) and the point E is (6,4).

Where:

 [tex]y_{2}=4\\y_{1}=2\\x_{2}=6\\x_{1}=3[/tex]

4. Then, you have:

[tex]\frac{2-0}{3-0}=\frac{4-2}{6-3}[/tex]

[tex]\frac{2}{3}=\frac{2}{3}[/tex]

5. Therefore, the slope of AC is equal of the slope CE.

the answer to the first one is b,c

The answer is

“A property of the real numbers states that if the numbers are grouped in a sum or in the form of its product, the value does not change.

a(b + c) = ab + ac, or a(b - c) = ab - ac”

Distributive property states that we can multiply each term outside the parenthesis with the term present inside the parenthesis. It involves multiplication and addition or multiplication and subtraction. In mathematics, distributives property is frequently used.

Some examples of distributive property are:

3 (1 + 3) = 3. 1 + 3. 3

4 (2 – 1) = 4.2 – 4.1

Answer:

b

Step-by-step explanation:

An equivalent ratio to 8:4 is 2:1. This is found by simplifying the original ratio by dividing both numbers by their greatest common divisor, which is 4.

To find an equivalent ratio to 8:4, we can simplify the given ratio by dividing both numbers by their greatest common divisor. In this case, the greatest common divisor of 8 and 4 is 4.

So, we divide 8 by 4 to get 2 and 4 by 4 to get 1. Therefore, 2:1 is an equivalent ratio to 8:4.

An equivalent ratio to 8:4 is 2:1. This is found by simplifying the original ratio by dividing both numbers by their greatest common divisor, which is 4.

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We know, 3 feet = 1 yard.

We have to convert feet to yards to calculate the ratio so that the final answer doesn't have any unit.

Therefore, 21 feet = [tex]\frac{21 feet}{3 feet}yards[/tex] = 7 yards

Thus, the ratio

[tex]\frac{21feet}{8yards} =\frac{7yards}{8yards} =\frac{7}{8}[/tex]

The fraction [tex]\frac{7}{8}[/tex] is already in its simplest form.

Therefore, the given ratio as a fraction in the simplest form without any units is [tex]\frac{7}{8}[/tex]

Final answer:

The ratio of 21 feet to 8 yards simplifies to 7/8 when both measurements are converted to the same units (feet) and the ratio is reduced to simplest form.

Explanation:

To write the ratio of 21 feet to 8 yards as a fraction in simplest form without any units, first, we need to ensure both measurements are in the same unit.

We know that 1 yard equals 3 feet, so 8 yards equal 24 feet. Therefore, the ratio of 21 feet to 8 yards (24 feet) can be written as 21 to 24, which simplifies to 7/8 when dividing both numbers by their greatest common divisor, which is 3.

Hello,

Question- Above

Answer-$540

Work- 32 times 17 = 544

544-4( Discount)= 540

Important- If my answer was good enough to help you please mark me as brainliest thanks you and have a great day!

Answer:

$540

Step-by-step explanation:

32*17=544

Then you add the discount which is four dollars...

544-4=540

Hope this helps, I'm no expert in math....

Answer:

it would be 68

Step-by-step explanation:

i hope it helps