Gina Wilson All Things Algebra Unit 4: Congruent Triangles Homework 7: Proofs Review: all methods

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Answer:

5

Step-by-step explanation:

15 has 2 factors 5 and 3

80 gets split into 16 and 5

then split into 8 and 2

then 2 and 4

then 2 and 2

the GCF therefore is 5

Answer:

helllo friend

Step-by-step explanation:

i dont know how to do it

Step-by-step explanation:

Add the ones with like terms.

which means the ones with things in common.

4/5x^2 + 1/4x^2 i'm adding this first because we have x^2 on both sides.

(4/5 + 1/4)x^2

= (5+16/20)x^2

= (21/20)x^2

the next terms are those with x as common.

(1/4 +- 1/5)x...take the sign into consideration while dealing with the terms within the equations.

=(1/4 - 1/5)x

=(5 - 4/ 20)x

= (1/20)x

= (1 × x) / 20

= x/20.

last ones are the constant terms(numbers)

1/6 + 2/3

=12 + 3 / 18

= 15/18...we can simplify this one as well.

= 5 × 3 / 6 × 3

= 5/6.

Now write all the results as a one equation.

descending order starting from the highest degree which is 6/5x^2 --> 1/20x ---> 5/6.

21/20x^2 + x/20+ 5/6.

Answer:

3y

Step-by-step explanation:

Sqrt of 9 = ±3

-±3[tex]\sqrt{y^{2} }[/tex]

the square and sqrt cancel leaving you with -±3y

Since y < 0, the sqrt of 9 should be -3 to cancel out the - sign in front.

Hope that helps

Answer:

 3 • (2x - 7) -  (x + 4)  = 0

then do 3.1     Pull out like factors :

  5x - 25  =   5 • (x - 5)

 5 • (x - 5)  = 0

4.2      Solve  :    x-5 = 0

Add  5  to both sides of the equation :

                     x = 5

Step-by-step explanation:

Answer:

[tex] \sf \: x = 5[/tex]

Step-by-step explanation:

Given equation,

→ 3(2x - 7) = 5 - (1 - x)

Now the value of x will be,

→ 3(2x - 7) = 5 - (1 - x)

→ 6x - 21 = 5 - 1 + x

→ 6x - x = 4 + 21

→ 5x = 25

→ x = 25/5

→ [ x = 5 ]

Hence, the value of x is 5.

Answer:

I would say it is close to 4, but not 4.

Step-by-step explanation:

So I rounded the distance between the 2 plots with a line, and I got either 3.8 or 3.1

square root of 10 = 3.1

square root of 15 = 3.8

The picture is my graph I used to base it, so I would generally consider how close it is to 4 saying C. Square root of 10.

(I only chose 3.1 because I went up on the graph 3 squares with my line. It did not quite reach. I went 1/10(0.1) of a whole up further, and it resulted in the square root of 10 choice.)

Answer:

Circumference: 62.83

Step-by-step explanation:

Formula:

2 • π • r

OR

2 • 3.14 • 10

Since the radius is 10, replace the r variable for 10 and complete the equation. Hopefully this helps!

Using the binomial distribution, it is found that the probability that exactly 36 of them buy a product is of 0.044.

For each first-time visitor, there are only two possible outcomes, either they buy a product, or they do not. The probability of a first-time visitor buying a product is independent of any other first-time visitor, hence the binomial distribution is used to solve this question.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that exactly 36 of them buy a product is P(X = 36), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 36) = C_{75,36}.(0.55)^{36}.(0.45)^{39} = 0.044[/tex]

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer: 6.67

Step-by-step explanation:

Using the similarity theory, we get the equation

5/30 = BM/40

BM = 5*40/30 = 20/3 = 6.67

Answer number 2

For the given data the monthly charges for Jim’s mobile phone will be £31.31.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Monthly charge of £20,100 for free minutes then 9p per minute for 200 free texts, then 11p per text. During one month, Jim makes 140 minutes of calls and sends 261 texts.

If there are 100 free minutes then it cost 9p per minute as a result, The charge is applied for calls,

40x9=£3.60

If there are 200 free texts, then it cost  11p per text as a result, The charge is applied for text,

61x11=£6.71

The total charge for the text and call is,

£6.71+£3.60=£10.31

If the monthly charge is £20. The total charge for the month,

£20+£10.31=£31.31

Thus, for the given data the monthly charges for Jim’s mobile phone will be £31.31.

Learn more about the arithmetic operation here:

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#SPJ5

Answer:

2x-3

Step-by-step explanation:

For this problem, we need to use the Distributive Property.

Use the Distributive Property:

[tex]-1/4(-8x+12)[/tex]

[tex]2x-3[/tex]

2x-3 is your answer.

Answer:

[tex]=5^{\frac{5}{6} }[/tex]

Step-by-step explanation:

[tex](\sqrt{5} )(\sqrt[3]{5} )=(5^{\frac{1}{2} } )(5^{\frac{1}{3} } )=5^{\frac{1}{2}+\frac{1}{3} } =5^{\frac{5}{6} }[/tex]

Hope this helps

Step-by-step explanation:

any root of a number can be written as fraction in the exponent of that number.

so, here, the square root of 5 is 5^1/2.

and the cubic root of 5 is 5^1/3.

what happens, when we multiply the same base number with exponents ?

a^n × a^m = a^(n+m)

and so we get here

5^1/2 × 5^1/3 = 5^(1/2 + 1/3)

how do we add fractions with different denominators ?

we bring them to the same denominator, usually by using the smallest (or least) common multiple of the existing denominators, which is 6 for 2 and 3.

so,

1/2 + 1/3 = 3/6 + 2/6 = 5/6

therefore, the simplified solution is

5^5/6

the first answer option is correct.

Answer: B, it will be multiplied

Step-by-step explanation:

I just did the USATestprep

Answer:

Jatziry, Kwa, Miguel, Gina

Step-by-step explanation:

I changed it into decimal.

0.1, 0.11, 0.125, 0.13

Answer:

https://brainly.com/question/26694904

Step-by-step explanation:

this question has f.r.e.e points, answer is saying yes pls

Answer:

5. x = 8

11. x = 57.6

13. x = 11

15. x = 5

Step-by-step explanation:

In each part, I set up a proportion and cross multiplied to solve.

5. 4/3 = 2x + 4/x + 7

    x = 8

11. 25/30 = 48/x

    x = 57.6

13. 32/2x + 6 = 60/52.5

     x = 11

15. To find missing part: 35 - 20 = 15

     20/7x - 11 = 15/4x - 2

     x = 5

Answer:

8/21

9/10

6/19

that cuz they are already in their simplest from or

The number of years it took the amount invested to accrue to £316.53 is  23.7 years.

Compound interest is when both the money invested and the money already accrued earn interest.

Number of years =  in(fv / pv) r

FV = future value

PV = present value

r = interest rate

(IN 316.53 / 175) / 0.025 = 23.7 years

To learn more about how to determine the number of years, please check: https://brainly.com/question/21841217

Answer:

congruent

Step-by-step explanation:

If two geometrical figures are congruent, then their corresponding sides are congruent.

Answer:

c. $625. 91

Step-by-step explanation:

The average daily balance totals each day's balance for the billing cycle and divides by the total number of days in the billing cycle. Then, the balance is multiplied by the monthly interest rate to assess the customer's finance charge—dividing the cardholder's APR by 12 calculates the monthly interest rate.

Answer:

240 cm²

Step-by-step explanation:

Split the shape into a trapezoid (top half) and a rectangle (bottom half).

Area of a rectangle = width x length

⇒ area = 6.5 x 20 = 130 cm²

[tex]\textsf{Area of a trapezoid} = \frac{1}{2}(a+b)h[/tex]

(where a and b are the lengths of the base and top, and h is the height)

⇒ [tex]\textsf{area} = \frac{1}{2}(20+20)\times5.5[/tex]

⇒ area = 110 cm²

Total area = area of rectangle + area of trapezoid

⇒ area = 130 + 110 = 240 cm²

Solution:

To factorize an expression, the minuend and the subtrahend must be divisible to a number.

In this case, 6 and 30 are divisible by 6, which is the GCF. The factorized form of the expression is:

Now, if we substitute the values into the distributive property....

Learn more about factorization: https://brainly.com/question/22097012

Answer:

I think it's B or A. Im not sure. sorry if i'm wrong.

Answer:

Step-by-step explanation:

Given system:

Solve by elimination, multiply the first equation by 5 and add up equations:

Find y:

Answer:

x = 4

y = 2

Step-by-step explanation:

Rewrite  x + y = 6  to make y the subject:  

⇒ y = 6 - x

Substitute y = 6 - x   into  6x - 5y = 14  and solve for x:

⇒ 6x - 5(6 - x) = 14

⇒ 6x - 30 + 5x = 14

⇒ 11x - 30 = 14

⇒ 11x = 44

⇒ x = 4

Substitute  x = 4  into  x + y = 6  and solve for y:

⇒ 4 + y = 6

⇒ y = 2

Answer:

3 minutes

Step-by-step explanation:

if it takes 3 minutes to ride around your neighborhood it would make all of these statements true, it would mean that it takes 1 minute to ride in your block.

Answer:

sin●=opposite/hypotenuse

sin25=2/AB

AB=2/sin25

AB=4.73

[tex]\huge \boxed{\sf (-6,-2.5)}[/tex]

[tex]\sf Midpoint \ formula:\\\\ \displaystyle (x_m, y_m) = \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \\\\\\ \frac{-11+-1}{2}, \frac{4+-9}{2}=\frac{-12}{2}, \frac{-5}{2} =-6,-2.5[/tex]

The midpoint formula can determine the midpoint of a line segment given its endpoints. The midpoint is the location midway between two endpoints, as the name may have already implied. Divide the total of the x-values by 2 and the same for y-values.

Answer:

see below

Step-by-step explanation:

f(4) = -11

g(x) = 2,x = 0

Answer:

4c(4- 3g)

question 8

when factorised 16c-12cg is

4c Is common to both 16c and 12cg

so we bring out 4c

4c( 4- 3g)

question 4

from what I can see through the diagram the hypotenuse is 15 and the adjacent is 9 and we're asked to find titre

so we use the relation cos titre= adjacent/hypotenuse

cos titre= 9/15

cos titre=0.6

therefore titre is cos inverse of 0.6 which is 53.13