Which theorem or postulate could be used to prove the congruence of the triangles?

To solve you can use inverse operations.

Here are the steps to find the answer:

1. Write out the equation: -6(x-2)+3x= -3(x+3) +21

2. Distribute both sides: -6x+12+3x= -3x-9+21

3. Simplify both sides: -3x+12=-3x+12

4. This equation is true for all values, or infinity, because the equation is the same on both sides

Let me know if you need further explanation. I hope this helps.

Answer:

5 to the power of -2

Step by Step explanation:

Because you are diving, you need to subtract the powers.

For example, you subtract 10 from 12 to get -2

The 5 remains the same so the answer should be 5 to the power of -2

Hope this helps

Answer:

20

Step-by-step explanation:

Answer:

$338.20

Step-by-step explanation:

Find out how much Dustin gets for one hour of work, since you are given how much Dustin earns in 10 hours, you divide it by 10 (the number of hours) to find one hour,

89/10=8.9

$8.9 per hour

So 38 hours would be

8.9 x 38= $338.20

Answer:

$338.20

Step-by-step explanation:

Answer:

A. √500

Step-by-step explanation:

Since 500 = 5·100 = 5·10² you can move the 10² out of the √ as 10.

Hence 10√5 = √500

So we're using these rules:

√a·b = √a·√b

and of course

√a² = a  (a>0)

Answer:

whats the question that u need help with

Answer:

A -5or5

Step-by-step explanation:

|n|=5

Absolute value means take the positive value of the number

|5|=5

|-5|=5

so positive 5 and -5

Answer:

divide the number of inches by 12

Step-by-step explanation:

Answer:

4,2

Step-by-step explanation:

did the test

The solution of the system of equation is (4, 2) which is correct option(A).

Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.

Given the two systems of equations,

-3x + 5y = -2

3x + 7y = 26

Adding the both equations

-3x + 5y + 3x + 7y = -2+26

12y = 24

y = 2

Substitute the value of y in any one of the equations,

3x + 7 y = 26

3x + 7(2) = 26

3x = 26-14

3x = 12

x = 4

Hence, the solution of the system of equation is (4, 2).

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We have been given that a Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0).

We are asked to find the position of ball after 6 seconds.

We will use horizontal position and vertical position formula to solve our given problem.

Horizontal position is given by formula: [tex]x=v\cdot \text{cos}(\theta)\cdot t[/tex] and vertical position is given by formula: [tex]y=v\cdot \text{sin}(\theta)\cdot t[/tex],where,

v = Velocity,

t = Time,

[tex]\theta[/tex] = Angle to the starting line.

For our given problem [tex]v=1.6[/tex], [tex]t=6[/tex] and [tex]\theta=85^{\circ}[/tex].

[tex]x=1.8\cdot \text{cos}(85^{\circ})\cdot 6[/tex]

[tex]x=10.8 \cdot 0.087155742748[/tex]

[tex]x=0.9412820216784\approx 0.94[/tex]

[tex]y=1.8\cdot \text{sin}(85^{\circ})\cdot 6[/tex]

[tex]y=10.8\cdot 0.996194698092[/tex]

[tex]y=10.7589027\approx 10.76[/tex]

Therefore, the position of ball after 6 seconds would be [tex](0.94,10.76)[/tex].

Answer:

(0.8,9.6)

Step-by-step explanation:

x=1.6*cos85* 6=0.8

y=1.6*sin85 *6=9.6

Answer:

80? bc yhu cant use solution a because it only has 35...i think

Step-by-step explanation:

if im wrong sorry

The requried scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.

Let's assume the scientist uses x ounces of Solution A and y ounces of Solution B to obtain the desired mixture.

From the information given, we can set up the following equations:

Equation 1: The total amount of solution is 90 ounces, x + y = 90

Equation 2: The amount of salt in the mixture can be expressed as, 0.35x + 0.80y = 0.40 * 90

Simplifying Equation 2:
0.35x + 0.80y = 36

To solve these equations, we can use substitution or elimination. Let's use the substitution method.

From Equation 1, we can express x = 90 - y and substitute it into Equation 2:

0.35(90 - y) + 0.80y = 36

31.5 - 0.35y + 0.80y = 360

45y = 4.5y = 10

Substituting y = 10 back into Equation 1:

x + 10 = 90

x = 80

Therefore, the scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.

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Answer:

I'm not sure if you need help but...

Step-by-step explanation:

6+6=12

Answer:

C.) $6,584.91

Step-by-step explanation:

Amount earned in compound interest = P(1 + r)^n;

where P is the principal,

r is the rate and n is the number of periods.

Amount = 3,000(1 + 14%)^6 = 3,000(1 + 0.14)^6 = 3,000(1.14)^6 = $6,584.91

Answer:

C) 6584.91

Step-by-step explanation:

plato

Answer:

it is c

Step-by-step explanation:

Answer:

(x-1)(x+3)

Step-by-step explanation:

The area of the big green rectangle is just x(x+2) which is [tex]x^2+2x[/tex]. (Excluding the interior rectangle) The shaded area is just this minus three which is [tex]x^2+2x-3[/tex]. In factored form this is (x-1)(x+3).

Hope this helps!

Prism volume will be base area times height.  We have a right triangular base, so its area is half the product of its legs, area (1/2)(6)(8)=24.  The prism has a height 13.  Multiplying we get a volume of 24×13 = 312 cubic inches.

Answer:  312 cubic inches

Answer:437

Step-by-step explanation:I took the test

Answer:

x < -7

Step-by-step explanation:

[tex]-7x>49\\\\\frac{-7x}{-7}>\frac{49}{-7} \leftarrow \text {Division Property of Equality}\\\boxed{x < -7} \leftarrow \text {The symbol switches every time we multiply or divide by a negative in a inequality.}[/tex]

Answer: 167

Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.

[tex]^{a}n = ^{a}1 (n - 1)d[/tex]

Since we want to determine the 76th term, we are going

to substitute 76 in for n in our explicit formula.

Then, [tex]^{a}1[/tex] will be our first term in our sequence which is 17.

Lastly, d is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.

So we have [tex]^{a} 76 = 17 + (76 - 1)(2)[/tex].

Now we have all the information we need. Just simplify from here.

Make sure to apply order of operations because this is where many

students make mistakes. Inside the parentheses first!

(76 - 1) is going to be 75.

So we have [tex]^{a} 76 = 17 + (75)(2)[/tex].

Then, we have to make sure we multiply before we add.

So (75)(2) is going to give us 150.

So we have [tex]^{a} 76 = 17 + 150[/tex].

Now just add to find that [tex]^{a} 76 = 167[/tex].

So the 76th term is 167.

Answer:

RQ, PQ and RP.

Step-by-step explanation:

Note: Options are not correct.

From the given information, in triangle RPQ

[tex]\angle QRP=40^\circ[/tex]

[tex]\angle RPQ=105^\circ[/tex]

[tex]\angle PQR=35^\circ[/tex]

In a triangle, greatest angle has longest opposite side and smallest angle has shortest opposite side

Now,

[tex]\angle RPQ>\angle QRP>\angle PQR[/tex]

[tex]RQ>QP>PR[/tex]

[tex]RQ>PQ>RP[/tex]

Therefore, the order from longest to shortest is RQ, PQ and RP.

Answer:

RQ, PQ and RP.

Step-by-step explanation:

Answer:

133 students would fill 2 buses and 3 vans

Step-by-step explanation:

Let x be the no. of students in each van

No. of students in 12 vans = 12x

No. of students in 14 vans = 14x

Let y be the no. of students in each bus

No. of students in 14 buses = 14y

No. of students in 12 buses = 12y

We are given that The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students.

12x+14y=796 ---1

We are also given that General High rented and filled 14 vans and 12 buses with 738 students.

14x+12y=738 ---2

Plot 1 and 2 on graph

12x+14y=796 --- Green line

14x+12y=738 --- Purple line

Intersection point gives the solution

Intersection point=(x,y)=(15,44)

No. of students in 1 van = 15

No. of students in 3 vans = [tex]15 \times 3 = 45[/tex]

No. of students in 1 bus = 44

No. of students in 2 buses =[tex]44 \times 2 = 88[/tex]

So,Total no. of students in 3 vans and 2 buses = 45+88=133

Hence 133 students would fill 2 buses and 3 vans

Omg I’m so sorry to interrupt but I really need help on my homework :( it’s two questions for 20 points||| can someone please help

Answer:

none

Step-by-step explanation:

57+75+95= 227

24+70+75= 169

48+64+80= 192

19+27+80=73

A right triangle equals 180 degrees.

Answer:

because she usually gets lower scores but her avarge is 13 because she make 30 in one game witch is an outlire

Step-by-step explanation:

if im wrong im sorry if not pls brainlyest

30 12

Step-by-step explanation:

21 + 9 equals 30 21 - 9 equals 12

Answer:

a-1yd20in

Step-by-step explanation:

a-4ft 8in

b-4ft

c-3ft 4in

d-3ft

Answer:

it's A, one yard and 20 inches

Step-by-step explanation:

If you convert them all to inches,  a yard and a 20 inches are equal to 56 inches, so you can rule out the 40 inches answer. a yard and a foot are equal to 48 inches, so we can rule out that also. 3 feet is equal to 36 inches, because we know that a foot is equal to 12 inches. so you are left with A. 1 yard and 20 inches.

Answer:I’m on that same question and I need help to

Step-by-step explanation:

Answer:

Table C is a linear function. Table A is an exponential function. And lastly table B is a quadratic function.

Step-by-step explanation:

I know that table C is linear because it has a constant rate of change the whole entire time.

I know table A is exponential because of the way it drastically increases at the end.

And lastly I know that table B is quadratic because if I were to graph it and keep on placing points, it would make a parabola.

I hope I helped.

Answer:

y is 10 degrees the pink one

y = 10

Hope This helps :D

Answer:

13.5

Step-by-step explanation: