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

Answer:

(2, 3) x=2, y=3

Step-by-step explanation:

There are two ways to solve this: substitution & elimination:

Using substitution for this equation:

[tex]\left \{ {{3x+y=9} \atop {5x+4y=22}} \right.[/tex]

3x + y =9

y = 9-3x

Substitute for y:

5x + 4(9 - 3x) = 22

5x + 36 - 12x = 22

-7x = -14

x = 2

Solve for y:

3(2) + y = 9

6 + y = 9

y = 3

Answer:

Step-by-step explanation:

In the first case the function could become undefined as x approaches -3 or 3 from either direction.  The vertical asymptotes are x = -3 and x = +3.

In the second case, there's only one vertical asymptote, because the denominator can be zero (0) only at x = 0.

Answer:

its d i just did it

Step-by-step explanation:

\

The graph is a linear and straight line so option (B) will be correct.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

Given graph is ;

y = 2x - 3

The slope of any function is given by;

dy/dx

So,

d(2x - 3)/dx = -2

Since the slope is constant that it will be a straight line and the straight line curve is a linear function because it has a degree of 1.

Hence "The graph is a linear and straight line".

For more about the linear function,

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Given question is incorrect correct question is attached in form of the image below;

Answer:

1...ut

2..s

Step-by-step explanation:

you can see that the trapezium ABCD is talented than you are St trapezium so then from the ABCD trapezium Appa what then you can see a De is parallel to you are and ab is parallel to AC and DC is parallel parallel to T s and a De is parallel to ur

Answer:

1. UT

2. S

Step-by-step explanation:

1. parallel sides of the first trapezoid are DC and AB, the last being the longest

so the answer is

UT, which is shorter base

2. B is the right angle

so S is the one on the second trapezoid

Answer:

a in this equation would be 3/4 because...

Step-by-step explanation:

2/3a−1/6=1/3

2/3a+−1/6=1/3

2/3a+−1/6+1/6=1/3+1/6

2/3a=1/2

Multiply both sides by 3/2.

(3/2)*(2/3a)=(3/2)*(1/2)

a=3/4

Hope this helps!

Steps:

Boys: 30+40+50+60+60+70+70+70+80+80+80+90+90+100 = 970

Girls: 10+20+50+50+60+70+70+80+80+80+90+100 = 760

THEN Divide the sum of boys and girls but how many numbers you added

970 ÷ 14 = 69.2

910 ÷ 12 = 63.3

Answer:

Margin of Error = 1.0% to the nearest tenth of a percent.

Step-by-step explanation:

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value is obtained from the z-tables at the popular confidence level of 95% and z-tables is used because the sample size, 4530, is large enough to approximate the population properties.

Critical value = 1.960

Standard error = σₓ = √[p(1-p)/n]

p = 87% = 0.87

n = sample size = 4530

σₓ = √[0.87×0.13)/4530]

= 0.0049966876

Margin of Error = 1.96 × 0.0049966876 = 0.0097935078 = 0.00979 = 0.979% = 1.0% to the nearest tenth of a percent.

Hope this Helps!!!

Answer:

The probability of rolling a number less than 3 (so, 1 or 2) is 2 out of 6, or 1/3. The odds are 4 to 2 against, or 2 to 1 against.

Step-by-step explanation:

If so, there are two numbers less than 3: 1 and 2. There are 6 total possible results, so the probability of rolling a number less than 3 is 26 or 13 or 0.3333

Answer:

[tex]2+\sqrt{2}[/tex]

Step-by-step explanation:

[tex](3\sqrt{2} +4)(\sqrt{2} -1) = (3*2)+4\sqrt{2} -3\sqrt{2}-4[/tex]

[tex]= 6-4+\sqrt{2}[/tex]

[tex]= 2+\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

Use FOIL method

(3√2 +  4)(√2 - 1) = 3√2*√2 - 3√2*1 + 4 *√2 - 4*1

                           =3*√(2*2) - 3√2 + 4√2 - 4

                           = 3*2 - 3√2 + 4√2 - 4

                           = 6 - 3√2 + 4√2 - 4  {add the like terms}

                          = 6 - 4 - 3√2 + 4√2

                          = 2 + √2

Answer:

10.(6) pouds

Step-by-step explanation:

8 pouds .......... 75%

x pouds ...........100%

x = 8×100/75 = 800/75 = 10.(6) pouds

Answer:

Step-by-step explanation:

Miche found that most helicopters fly at speeds of less than 270 kilometers per hour.

If s=speed of the helicopters

Representing this on a number line:

Since the options are not given, I would list the mistakes made by Miche.

Answer:

A and D

Step-by-step explanation:

I hope this helped <3 ·ω·

Answer:  4

We're talking about the right part.  

OP = RQ - NM = 7 - 3 = 4

PQ = MR - NO = 3 - 2 = 1

Area(OPQ?) = 4×1 = 4

Answer: 4

The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is 4 square units.

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

A polygon is given in the question, as shown

The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units.

We have to determine the fill-in-the-blank.

As per the given figure, we can see that

OP = RQ - NM = 7 - 3 = 4

PQ = MR - NO = 3 - 2 = 1

Required area of rectangle = 4 × 1 = 4

Hence, the required fill-in blank will be "4".

Learn more about the Area of the rectangle here:

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Answer:

D

Step-by-step explanation:

D is the best choice. A excludes voters age 18-20 and 36+. B excludes everyone who doesn't own a business, and C excludes those who didn't vote for him. For the most honest results, D - everyone - is the best choice.

Step-by-step explanation: last year

Answer:

Last Year

Step-by-step explanation:

If you take a look at the red and blue lines in between the numbers 3 and 4 at the bottom of the graph, you can see that the profit for the red line (last year) is decreasing while the profit for the blue line (this year) is increasing. Last year (red line) had a decrease in profit between months 3 and 4.

Answer:

36 cm

Step-by-step explanation:

A = b1 + b2 x h / 1/2

A = 12 + 6 x 4 / 1/2

Answer:

[tex]145.3in^2[/tex]

Step-by-step explanation:

[tex]A_{L} =2\pi rh=2*\pi *2.5*9.25\\=145.3in^2[/tex]

Answer:

D isn't a function because points intersect vertically on the graph

Step-by-step explanation:

Answer: A, B and E

Step-by-step explanation:

A residual values should be equally and randomly spaced around the horizontal axis. If the plot looks like any of the images in C and D, then the data set is probably not a good fit for regression. A non-linear pattern is more appropriate.

Answer:

x = 12.5 yd

Step-by-step explanation:

To find the value of x, use the equation below

cos 37 = [tex]\frac{10}{x}[/tex]

0.80 = [tex]\frac{10}{x}[/tex]            Take 10 divided by 0.80 to find x

x = 12.5

If this answer is correct, please make me Brainliest!

Answer:

I think that both are true...

If it's one, it's the circumference.

Step-by-step explanation:

So say the radius is x.

The area is πx^2

The circumference is 2xπ

If you multiply it by 3:

The area is 3πx^2

The circumference is 6xπ

Answer:

The circumference is tripled

Step-by-step explanation:

If the radius started as 2 the area would be 12.57 and the circumference would be 12.57.

Then if multiply the radius by 3 it would be 6 and the area would be 113.1 and the circumference would be 37.7.

12.57x3=37.7

Therefore the circumference triples when the radius is multiplied by 3.

Answer:

B

Step-by-step explanation:

The investment grows by 12 percent every year. Therefore, if you multiply the 1500 by 0.12 you should get the value of the amount of extra money made in one year. If you substitute 2 into t you get the value increased by year 2 and so on.

Answer:

the correct answer is b

Step-by-step explanation:

just got it right on egduniuty

Answer:

{1, 2, 3, 4, 5}

Step-by-step explanation:

Sample space is the set of all possible outcomes. Supposing that the 5 sided number cube has numbers one to five on its sides, the possible outcomes are the numbers that can be rolled, then its sample space is: {1, 2, 3, 4, 5}

Answer:

see explanation

Step-by-step explanation:

Consider the ratios of corresponding sides

[tex]\frac{PQ}{QR}[/tex] = [tex]\frac{30}{15}[/tex] = 2

[tex]\frac{PT}{QS}[/tex] = [tex]\frac{20}{10}[/tex] = 2

[tex]\frac{QT}{RS}[/tex] = [tex]\frac{28}{14}[/tex] = 2

Since the ratios of corresponding sides are equal, then

Δ PQT and Δ QRS are similar by the SSS postulate

Answer:

A score of -16 represents the lowest of points for these four turns.

The number for Aisha's highest score will be turn 2 on the number line.

That number is 10.  

Step-by-step explanation:

Since the options of the drop down menu are not included, you should choose any option similar to lowest.

Aisha's highest score was obtained in turn 2 and that is 10.

Aisha is comparing absolute terms, that is why she believes that -16 represents a good score, while in reality is the worst she got.

Answer:

d = 13 cm

r = 6.5 cm

Step-by-step explanation:

The diameter is the distance from side to side going through the center

d = 13

The radius is 1/2 of the diameter

r = d/2 = 13/2 = 6.5 cm

Answer:

4

Step-by-step explanation:

40-36=4

Answer:

She won by 4 seconds.

Step-by-step explanation:

If Bailey ran the race in approximately 36 seconds and Elena ran it in approximately 40 seconds, Bailey would've completed the race 4 seconds faster than Elena.