Name
8.2 Using Parallelograms in Proofs
1. Given: Parallelogram ABCD
DE I AB
BFI DC
с
Prove: DE 2 BF
A
E
B

Answer:

Nope it is equal to

Step-by-step explanation:

if you simplify both of them 4/10=2/5 and 14/35=2/5

Answer:

0.75

Step-by-step explanation:

Constant of proportionality between p and n, is the ratio of both proportional quantities.

Thus, given the equation, [tex] p = 0.75n [/tex], of which Lopez uses, this equation represents the relation between both quantities.

The ratio of p and n = the constant of proportionality.

Thus:

[tex] p = 0.75n [/tex]

[tex] \frac{p}{n} = \frac{0.75n}{n} [/tex]

[tex] \frac{p}{n} = 0.75 [/tex]

Constant of proportionality = 0.75

Answer:

There are 6 boys and 12 girls on a soccer team.

This ratio correctly describes the relationship between boys and girls on the soccer team:  

✔ For every 6 boys, there are 12 girls.

Step-by-step explanation:

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Answer:

can you add the photo

Step-by-step explanation:

Answer:

Value of K:

K=6.5

Step-by-step explanation:

The equation for the situation is [tex]5x+6(0.95)=11.95[/tex]

The solution to the equation is [tex]x=1.25[/tex]

First, you must set up the equation.

[tex]5x+6(0.95)=11.95[/tex]

Then, you must simplify the terms.

[tex]5x+5.7=11.95[/tex]

Next, subtract 5.7 on both sides.

[tex]5x=6.25[/tex]

Finally, divide 5 on both sides

[tex]x=1.25[/tex]

The cost of each doughnut is $1.2 and the equation is 5(0.95) + 6x = 11.95 if the total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.

The cost of 1 doughnut is x.

Total cost = $11.95

Total cost = 5(0.95) + 6x

11.95 = 5(0.95) + 6x

Or

5(0.95) + 6x = 11.95

After solving

x = $1.2

Thus, the cost of each doughnut is $1.2 and the equation is 5(0.95) + 6x = 11.95 if the total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.

The options are:

6(0.95) + 5x = 11.95

5(0.95) - 6x = 11.95

5(0.95) + 6x = 11.95

5(0.95) + 6(11.95) = x

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Answer:

An equation would be 39 divided by 10^3= 0.039

Step-by-step explanation:

Hope this helps!! ;-)

Answer:

d

Step-by-step explanation:

Answer:

A. 5^3

Step-by-step explanation:

5^6 = 15625

5^3 = 125

15625/125 = 125

Answer:

5/2,     5/2,     -3= (5/2)(2)+b,     -8,     y=(5/2)x-8

Step-by-step explanation:

Answer:

The slope of the graphed line is  

✔ 5/2

.

The slope of the parallel line is  

✔ 5/2

.

An equation that can be used to find the y-intercept of the parallel line is  

✔ –3 = (5/2)(2) + b

.

The y-intercept of the parallel line is  

✔ –8

.

The equation of the parallel line is  

✔ y = (5/2)x – 8

.

Step-by-step explanation:

Answer:

it should be 1

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

[tex]-8n - 8 = -72\\-8n = -72 + 8\\-8n = -64\\n = 8[/tex]

Answer: 8

Step-by-step explanation:

Multiplying both sides by -1, we get:

8n + 8 = 72

8n = 72-8

8n = 64

n = 64/8 = 8.

Answer:

C

Step-by-step explanation:

The degree of the polynomial is 7 as the highest power in its terms is 7.

So, the correct option is A.

The degree of a polynomial is the highest power that its terms pertain (for multi-variables, the power of term is the addition of the power of variables in that term).

Thus, in

[tex]g(x) =5x +6x^7 - 8x^3[/tex]

Hence, the degree of the polynomial is 7 as the highest power in its terms is 7.

(power and exponent are the same thing)

So, the correct option is A.

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Answer: 12

Step-by-step explanation:

Given the function :

f(x),

x is defined as the number of questions answered correctly in a certain section.

Thus given that the function; f(12) = 18 means a test-taker receives 18 points for answering x questions in the section correctly

The number of correct questions will be :

Compare ;

f(x) = f(12)

Hence ; x = 12 = number of questions answered correctly in the section.

Answer:

x=27

Step-by-step explanation:

2x+18-4=68

2x+18=72

2x=54

x=27

I hope this helps even the slightest!

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Answer: 16.67% for question 1

83.33% for question 2

Step-by-step explanation:

1/6 as a percent is 16.67% because the is only 1 correct number

5/6 as a percent is 83.33% because there is 5 wrong numbers

Answer:

Step-by-step explanation: 1/36

Step-by-step explanation:

[tex](x { }^{2} - {y}^{2} ) {}^{2} = ( {x}^{2} + y {}^{2} ) {}^{2} - 4x {}^{2} y {}^{2} [/tex]

Answer:

(4y - 3)2 = 72?y3 +/Z and yy=3-6/243+62y=and y=-3 – 6/2440y=9/… ... 12 POINTS!! 2. (2, 0) and (0, 3) The equation for these ordered pairs is ...

1 answer

Step-by-step explanation:

Answer:

Choice C: 5

Step-by-step explanation:

55 is a composite number. 55 = 1 x 55 or 5 x 11. Factors of 55: 1, 5, 11, 55. Prime factorization: 55 = 5 x 11 it should be 5 if 11 isn't an option to

Answer:

20

Step-by-step explanation:

7+5+4+3+1=20

the degree of the polynomial is 20

Answer: y = 3x-1

Step-by-step explanation:

The number of rate eaten by dog after 200 minutes: 2 pounds

A ratio is a divisional comparison of two quantities. It uses a fraction or quotient to represent the relationship between two numbers or quantities. For instance, we can describe the ratio 3:5 or the fraction 3/5 if we declare that there are 3 guys for every 5 ladies in a classroom.

Contrarily, the proportion equation declares that two ratios are equivalent. We can utilise proportion to solve problems with unknown amounts if we have two ratios that are equivalent.

We can use proportion to solve this problem:

If a dog eats 0.5 pound of food every 50 minutes, then in 1 minute, the dog will eat 0.5/50 = 0.01 pound of food.

Therefore, in 200 minutes, the dog will eat 0.01 x 200 = 2 pounds of food.

So the dog will have eaten 2 pounds of food after 200 minutes.

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Answer:

Step-by-step explanation:

Since, ΔBCM ≅ ΔZYR,

∠B ≅ ∠Z

∠C ≅ ∠Y

∠M ≅ ∠R

And BC ≅ ZY

CM ≅ YR

BM ≅ ZR

a). CM = YR = 11 m

b). BM = RZ = 15 m

c). YZ = BC = 8 m

d). m∠B = m∠Z = 45°

e). m∠M = 180° - [m(∠B) + m(∠C)]

             = 180° - (45 + 103)°

             = 180° - 148°

             = 32°

f). m∠Y = m∠C = 103°

The side lengths are as follows: YZ is 8, BM is 15, and CM is 11. and angle B has a measure of 45 degrees. The angle C is 103 and the angle m is 32.

Congruent triangles are two triangles that are the same size and shape. They remain congruent if we flip, turn, or rotate one of two congruent triangles. If the sides of two triangles are the same, they must have the same angles and thus be congruent.

Congruent triangles have equal corresponding sides and angles

The measure of the side lengths are: YZ = 8,BM = 15 and CM = 11

The measure of the angles is angle B = 45. angle C = 103 and  angle m  =32

The given parameter is:

Tri angle BCM = Triangle ZYR

This means that triangles BCM and ZYR are congruent.

So, we have the following congruent sides

YZ = CB

BM = ZR

CM = YR

so, the measure of the side lengths are:

YZ = 8

BM = 15

CM = 11

Also, we have the following congruent angles

angle B = angle Z

angle C =  angle Y

angle M =  angle R

the measure of the angles are

angle B = 45

angle Y = 103

The measure of angle M is calculated using:

∠M + ∠C + ∠B = 180

∠M = 32

Therefore, The measure of the side lengths is: YZ is 8, BM is 15 and CM is 11. and The measure of the angles is angle B is 45. angle C is 103 and angle m  is 32.

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Answer:

1 to 4

Step-by-step explanation:

I don't think u want the explanation

Answer:

125 to start with

Step-by-step explanation: