Determine if the triangles are congruent. If so, write a congruence statement. Explain your reasoning in a short paragraph proof.
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Answer:

x = 9

Step-by-step explanation:

84 + (7x + 5) + (180 - (17x-1)) = 180

84 + 7x + 5 + (181 - 17x) = 180

270 + (-10x) = 180

90 = 10x

x = 9

Answer:

The answer is "Coordinates of point P= (2,5)"

Step-by-step explanation:

We are familiar with the internal division of AB by point P, i.e. 3:2, [tex]\frac{AP}{PB}= \frac{3}{2}[/tex]

Therefore, we use the internal division formula.

Points:

[tex]\to (-4,8) \ and \ (6,3)\\\\ x_1 = -4\\y_1 = 8\\x_2= 6\\y_2 =3 \\[/tex]

Formula:

[tex]\to x = \frac{(mx_2 + nx_1)}{(m + n)}\\\to y = \frac{(my_2 + ny_1)}{(m + n)}\\\\where,\\\\\to m = 3 \\ \to n = 2[/tex]

Replacing the x coordinate representations of A and B with x, we have

[tex]x = \frac{(3 \times 6 + 2 \times (-4))}{(3 + 2)}\\\\[/tex]

   [tex]= \frac{(18 - 8)}{5}\\\\ = \frac{10}{5}\\\\ = 2[/tex]

Replacing the, y coordinate representations of A and B with y, we have

[tex]y = \frac{(3 \times 3 + 2 \times 8)}{(3 + 2)}\\\\[/tex]

  [tex]= \frac{( 9 +16)}{(5)}\\\\= \frac{25}{5}\\\\=5[/tex]

The coordinates of point P= (2,5).

Answer:

1:n

12:2

12÷12:2÷12

Answer ==

1:1

6

Answer: is, 1:1/6 , a fully simplified fraction.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

here, we have,

1:n, the form of expression.

given that,

=>12:2

=>12÷12:2÷12

=>1:1/6

Answer is, 1:1/6.

To learn more on ratio click:

brainly.com/question/13419413

#SPJ2

Answer:

Place houses on 48 of the 100 squares to represent 48/100 or 48% houses.

Step-by-step explanation:

Answer:

6 girls were there are first

Step-by-step explanation:

use trial and error. divide 1200 by a random number like 10, and see how much they each had to pay. If we guessed 10, then each girl would hypothetically pay 120 pounds. If four girls left, then 1200/6 would be 200 pounds. there was only a 60 pound increase here, not a 400 pound one.

I checked 1200/6 which equals 200 pounds per girl. If 4 girls left, then it would be 600 pounds for the 2 remaining girls. the rent increased from 200 to 600 which is a 400 pound increase.

Answer:

5.5

Step-by-step explanation:

√30, which will round to 5.5, because √30*√30=30.

n for number

n x n = 30

n =

we have multiple options for n

exact forms:

√30

-√30

exact decimal forms:

5.47722557...

-5.47722557...

rounded to the nearest tenth:

i THINK:

5.5

-5.5

5.4

-5.4

sorry if im wrong with the rounding, hope this helps though :)

Answer:

please mark me as brainlist

Step-by-step explanation:

-3.5,-1/4,2,1/3

Answer:

The LCM of 10, 5 and 3 is 30.

Answer:

2. 8n. 8n. 8n. 8n

Step-by-step explanation:

[tex]2 {(8n)}^{4} = 2. 8n. 8n. 8n. 8n[/tex]

Equivalent expressions are expressions with equal value.

The equivalent expression of [tex]\mathbf{2\cdot(8n)^4}[/tex] is [tex]\mathbf{2\cdot(8n)\cdot(8n)\cdot(8n)\cdot(8n)}[/tex]

The expression is given as:

[tex]\mathbf{2\cdot(8n)^4}[/tex]

Apply law of indices

[tex]\mathbf{2\cdot(8n)^4 = 2\cdot(8n)\cdot(8n)\cdot(8n)\cdot(8n)}[/tex]

The above equation means that:

[tex]\mathbf{2\cdot(8n)\cdot(8n)\cdot(8n)\cdot(8n)}[/tex] is equivalent to [tex]\mathbf{2\cdot(8n)^4}[/tex]

Hence, the correct option is (d) [tex]\mathbf{2\cdot(8n)\cdot(8n)\cdot(8n)\cdot(8n)}[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/24242989

Answer:

[tex]f(x+h)=x^2+2xh+h^2+2x+2h[/tex]

Option D is correct option.

Step-by-step explanation:

We are given: [tex]f(x)=x^2+2x[/tex]

We need to find f(x+h)

For finding f(x+h) we need to replace x by x+h

[tex]f(x+h)=(x+h)^2+2(x+h)\\We \ know \ (a+b)^2=a^2+2ab+b^2\\f(x+h)=x^2+2xh+h^2+2x+2h[/tex]

Finding f(x+h) we get:

[tex]f(x+h)=x^2+2xh+h^2+2x+2h[/tex]

Option D is correct option.

Answer:

Equation: x + 2 = 7/8x - 15

Solution: x = -136

Explanation:

x + 2 = 7/8x - 15

2 + 15 = 7/8x - x

17 = 7/8x - 8/8x

17 = -1/8x

17 × -8 = x

-136 = x

Answer:

Step-by-step explanation:

Step one:

given

number of shirts= 500

cost of all the shirts= $12000

unit cost of shirt= 12000/500

                          =$24

the selling price = $30

the profit per shirt= selling price-cost price

30-24=$6

Required

% mark up

% mark up=( profit/cost price)*100

% mark up=( 6/24)*100

% mark up=0.25*100

% mark up=25%

Hence the % mark up is 25%

Answer: B) The result is a prime number

==================================================

Explanation:

Replace x with 5. Then use PEMDAS to simplify.

7x+6

7*5+6

35+6

41

The expression 7x+6 is equal to 41 when x = 5.

The value 41 is prime because its factors are only 1 and 41.

Answer:

B

I know this is a year later lol

Answer:

Her weekly allowance is $30

Step-by-step explanation:

15

Step-by-step explanation:

Answer:

ksdkksanJ

Step-by-step explanation:

Answer:

I think that it would be d because 9 is 3/4 of 12 and 45 is 3/4 of 60

Answer:

For all the people who don't understand that other guys answer it is graph W

Step-by-step explanation:

Answer:

The probability that X is greater than Y is 0.5754.

Step-by-step explanation:

It is provided that,

[tex]X\sim N(184.09, 39.37)\\\\Y\sim N(171.93, 50.88)[/tex]

It is also provided that X and Y are independent.

We need to compute the value of:

P (X > Y) = P (X - Y > 0)

Compute the mean and standard deviation of (X - Y) as follows:

[tex]E(X-Y)=E(X)-E(Y)=184.09-171.93=12.16\\\\SD(X-Y)=\sqrt{V(X-Y)}=\sqrt{V(X)+V(Y)}=\sqrt{39.37^{2}+50.88^{2}}=64.33[/tex]

Compute the the value of P (X > Y) as follows:

[tex]P(X>Y)=P(X-Y>0)\\\\=P(\frac{(X-Y)-E(X-Y)}{SD(X-Y)}>\frac{0-12.16}{64.33})\\\\=P(Z>-0.19)\\\\=P(Z<0.19)\\\\=0.57535\\\\\approx 0.5754[/tex]

Thus, the probability that X is greater than Y is 0.5754.

Answer:

Y = 3/5x + 2

Step-by-step explanation:

Answer:

[tex]y=\frac{3}{5} x+2[/tex]

Answer:

A

Step-by-step explanation:

that's the right answer

Answer:

slope is five.........

Answer: 4(5+2) or 4(2+5)

Step-by-step explanation:

8 = 2*2*2

20 = 2*2*5

4(5+2) = 20+8

Answer:

First, these angles are alternate interior angles.

[tex] 10x - 5 = 9x + 1 [/tex]

[tex] x = 6 [/tex]

Step-by-step explanation:

(10x - 5)° and (9x + 1)° are alternate interior angles. Thus, they are congruent to each other.

Thus, to find x, we will set each angle equal to the other.

[tex] 10x - 5 = 9x + 1 [/tex]

Solve for x. Collect like terms

[tex] 10x - 9x = 5 + 1 [/tex]

[tex] x = 6 [/tex]

Answer:

Step-by-step explanation:

Amount after a month:

1. ........................

2. ........................

Answer:

Ur answer is 7negative6

Answer:

1

Step-by-step explanation:

13x-12=7x-6

Answer:

4/7

Step-by-step explanation:

Answer: Correct Answer is X 4/21

Step-by-step explanation: I got it right

Answer:

500

Step-by-step explanation:

First of, multiply all of the number by 10 to remove the decimal place ( this will make it less confusing)

So 102.3 x 10= 1023

4.7 x 10 = 47

You will have to round each of the numbers to 1 significant figure (sf) :

1023 round to 1 sf will be 1000

47 rounded to 1 sf will be 50

Then multiply these numbers:

1000 x 50 = 50000

Finally divide by 100 to get back the decimal places

(You divide by 100 because you multiplied by 10 twice, 10 x 10= 100)

You get 500