Which method shows the two triangles are congruent?

A . SSS

B . SAS

C . ASA

D . AAA

Answer:

Step-by-step explanation:

Part A)

For equation f(x) = 2x² - 5x + 3, to find x intercepts let y=0 then solve x,

2x² - 5x + 3 = 0 -> (2x + 1)(x -3) = 0 , can find x - intercepts from here

x = ____ and ____

Part B)

To find if vertex is a max or min, compare to equation y = ax² + bx +c

if a > 0 then parabola opens up and vertex is a minimum.

if a < 0 then parabola opens down and vertex is a maximum,

thus vertex is a minimum in this problem

to solve vertex set x = -b / 2a = 5 / 2(2) = 5/4

solve for y value

.... vertex is then at point ( 5/4 , y value found)

Part C)

Can plot the intercepts and vertex points

Answer:

First, let's do some general definitions:

We start with:

f(x) = 3.5*x^3

A general equation of this form is:

g(x) = a*x^3

if:

IaI > 3.5 the function will be steeper.

IaI < 3.5 the function will be less steep.

a < 0, means that we have a reflection over the x-axis.

Then:

p(x) = 4.5*x^3

bassed on what we wrote above, this function is steeper than f(x)

q(x) = -x^3

This is less steep ( a = -1 in this case) and we also have a reflection over the x-axis.

r(x) = 3*x^3

In this case 3 < 3.5, this means that this will be lees steep than f(x)

Answer:

2x - 3..... 2*10 - 3 = 17

Step-by-step explanation:

Fog) = g(fx)) = f(x) - 4 => 2x - 3

Answer:

37

Step-by-step explanation:

Substitute x = 10 into g(x), then substitute the result into f(x)

g(10) = 10 - 4 = 6 then

f(6) = 6^2 + 1 = 36 + 1 = 37

Answer:

0.65%, 9.2%, 40%, 656%

Step-by-step explanation:

see answer

Answer:

Step-by-step explanation:

Corresponding parts of the congruent triangles are congruent [CPCTC]

By using this property of congruent triangles,

15). ΔABC ≅ ΔABR

     BC ≅ BR [By CPCTC]

16). ΔJIH ≅ ΔJIW

     ∠HJI ≅ ∠WJI [By CPCTC]

17). ΔBDC ≅ ΔBDJ

     ∠CBD ≅ ∠JBD [By CPCTC]

Answer:

Solution

=

−

3

7

7

Step-by-step explanation:

I got that answer right on ed2020

Answer:

A.) Both lines pass through the point represented by the ordered pair

Step-by-step explanation:

Both lines pass through the point represented by the ordered pair.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

An ordered pair is a solution of a system of linear equations by examining the graphs of the equations.

We know that;

An ordered pair is a solution of a system of linear equations when both the lines are passing through the same ordered pair.

Hence, We get the correct sentence is,

''Both lines pass through the point represented by the ordered pair.''

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Answer:

The length of the house is 32 yards and the width is 16 yards and the area of the deck is 512 yards. I got my answer by multiplying the length and the width to get an answer of 512.

Step-by-step explanation:

You have to multiply 16 centimeters by 2 and multiply 8*2. Which is 32 and 16 and after you do that you multiply them 32*16=512

Step-by-step explanation:

The collective noun of clothes is suit.

Answer:

[tex]\displaystyle d = 2\sqrt{10}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point R(-2, -4)

Point S(-8, -6)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

3 cups

Step-by-step explanation:

Luke has 1 1/2 cups of pepperoni left

Answer:

80-2= n

Step-by-step explanation:

jenna has 2 fewer points thefore 80-2= n, n is how much she got ( she got 78 points)

Answer:

x = 1.55

y = 1.86

Step-by-step explanation:

Determinant of the original matrices;

Do = -3(4) -9(6)

Do = -12 - 54

Do = -66

For Dx

Replace the answer in the first column and fine the determinant

Dy = 17(-3) - 8(9)

Dy = -51-72

Dy = -123

y = Dy/Do

y = -123/-66

y = 1.86

Get Dx

Dx = 4 (-8) - 17(6)

Dx = -32-102

Dx = -134

x = Dx/Do

x = -132/-66

x = 1.55

Answer:

no because these "imaginary numbers" can have the same value as 2 real numbers that add up to a real number. Example:7 3+4=7    x+y (Algebra so not real numbers)= infinite possibilities

Step-by-step explanation:

Answer:

-4 11/16

Step-by-step explanation:

Answer:

5/7 your answer is.....

Answer:

17/12.     or 1 5/12

Step-by-step explanation:

caculator.

Answer: 220

Step-by-step explanation:

Will already has 148 he bought 8 packages that contains 9 in each so 8 x 9 = 72 then add 148 to 72 and you will have your total which is 220.

Answer:

The distance you travel while hiking is a function of how fast you hike and how long you hike at this rate. You usually maintain a speed of three miles per hour while hiking.

Answer:

h(t)=3t

,where h(t) represents the distance we travel while hiking in time t which is the dependent variable.

Step-by-step explanation:

The distance we travel while hiking is a function of how fast we hike and how long we hike at this rate.

The maintained speed while hiking= 3 miles per hour

If t represent the time of hiking which is independent variable, and h(t) represents the distance we travel while hiking which is dependent variable.

Then, h(t)=3th(t)=3t

Answer:

75%

Step-by-step explanation:

Percentage change = (change) ÷ (first value) × 100

Change = second value - first value = 56 - 32 = 24

∴ Percentage change = [tex]\frac{24}{32} * 100 =[/tex] 75%

Answer:

Step-by-step explanation:

Concavity of a quadratic function is determined the leading coefficient.

If the leading coefficient is positive, graph will entirely concave upwards.

If the leading coefficient is negative, graph will concave downwards entirely.

So in the interval (-∞, ∞) function has the positive concavity.

There is no interval in which the given function has the negative concavity.

Answer:

700

Step-by-step explanation:

A=2(wl+hl+hw)=2·(12·14+7·14+7·12)=700

The value of the surface area of the rectangular prism is,

SA = 700 units²

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

In a rectangular prism,

Length (l) = 14

Width (w) = 12

Height (h) = 7

We know that;

The surface area of a rectangular prism is given by:

SA = 2 (lh +wh + lw ) Square units.

Hence, We get;

SA = 2 (14 x 7 + 12 x 7 + 14 x 12

SA = 2 (98 + 84 + 168)

SA = 2 x 350

SA = 700 units²

Thus, The value of the surface area of the rectangular prism is,

SA = 700 units²

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Answer:

I believe it was B.

Step-by-step explanation:

Answer:

11/12 of the 5th grade ride the bus or walk to school.

Step-by-step explanation:

First you have to find a LCD (least common denominator) for both fractions which is 12.

Second you have to multiply the numerator by whatever you multiplied the denominator by for both fractions

Finally you add both fractions together and you get 11/12

Answer:

1st question is 1:2

2nd question is 5

Step-by-step explanation:

15 times two is 30, so if you divide both 15 and 30 by 15, you get 1:2

Divide 300 and 60 and you get 5.

Answer:

1/2 5

Step-by-step explanation:

so the push ups you would divide 300 by 60 and the ratio is 1/2 because 15 plus 15 equals 30 so yea its 1/2

Answer:

24a³ - 16a² + 6a + 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

(4a + 2)(6a² - a + 2)

Step 2: Expand

Answer: 22

Step-by-step explanation:

20 - 10/2 + 2 . 2

10/5 = 2

20 - 2 + 2 . 2

= 20 - 2 + 4  = 22

hope this helps

Answer:

1

Step-by-step explanation:

Divide 53 by 4

You get 13.25 which means each kid will receive 13 balloons.

Now take .25 and multiply by 4. You get 1! There will be one balloon left over.

Answer:

120 x 10^-4

Step-by-step explanation:Multiplying 1.2  by  10^2 and multiplying 10^-2  by  10^-2.Gives 120 x 10^-4  So, the mass of an average grain of rock salt is 120 x 10^-4  .

Answer:

Multiplying 1.2 by 10^2 and multiplying 10^-2 by 10^-2 gives 120 x 10^-4. So, the mass of an average grain of rock salt is 120 x 10^-4.

Step-by-step explanation:

Edmentum answer

hope this helps :)