what else would need to be congruent to show that abc def by aas

The fourth graph represents the function.

We have to rewrite the given function into the standard form of a parabola.

A parabola is a U-shaped plane curve that is symmetrical about its vertex.

The standard form of a parabola is given by:

y = (x-h)²+k

Where (h,k) is the vertex of the parabola.

f(x) = x²+2x-1

We can rewrite this as:

f(x) = x²+2x+1-2

f(x) =( x+1)²-2

Now compare this with the given graphs. The only graph that has its vertex at (-1,-2) is the fourth graph.

We have found the graph that represents the function f(x) = x²+2x-1 to be the fourth graph.

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The question requires matching verbal descriptions of numbers with their corresponding numeric representations using decimal notation. The place value of each digit is used to determine the correct numeric form of the verbal description.

When matching the verbal descriptions to the correct number sentences, you will use the value of each place within a number to write it in decimal notation. For example, in the number 1837, the digit 7 is in the ones place (10⁰ = 1), the digit 3 is in the tens place (10¹ = 10), the digit 8 is in the hundreds place (10² = 100), and the digit 1 is in the thousands place (10³ = 1000). This helps us correctly identify the number sentences.

3.24m

the longest piece will be associated with 8 parts of the ratio.

divide 144 by 8 to find 1 part of the ration then multiply this value by 6 and 4 for the remaining parts of the ratio

[tex]\frac{144}{8}[/tex] = 18 cm ← 1 part

6 parts = 6 × 18 = 108 cm

4 parts = 4 × 18 = 72 cm

length = 144 + 108 + 72 = 324 cm = 3.24m

Answer: 324 cm

Step-by-step explanation:

  6 :   8 :   4

x18 x18  x18

108  144   72

108 + 144 + 72 = 324

Answer:

Value of house in 2017  = 231525$

Explanation:

 At the start of 2014 worth of Lucy's house = 200000$

 Rate of increase of the value of the house = 5% = 0.05

 Value of house in 2015 = 200000+0.05*200000 = 210000$

 Value of house in 2016 = 210000+0.05*210000 = 220500$

 Value of house in 2017 = 220500+0.05*220500 = 231525$

 Number of years in between 2014 and 2017 = 2017 - 2014 = 3 years.

 Value of house in 2017 [tex]=200000*1.05^3=231525$[/tex]

Whole numbers are a subset of integers, which in turn are a subset of rational numbers.

So, every whole number is an integer, and every integer is a rational number.

So, it is possible for a rational number not to be an integer. Think of any decimal number: 1.356 is a rational number, but it's not an integer.

On the other hand, if a number is not an integer, it can't be a whole number, because all whole numbers are integers.

The solution is in the attached picture.

The perimeter of a shape is the sum of all visible side lengths of the shape. The perimeter of polygon qrst is 16 units.

Given that:

[tex]q = (-3,2)[/tex]

[tex]r = (1,2)[/tex]

[tex]s = (1,-2)[/tex]

[tex]t = (-3,-2)[/tex]

First, we calculate the distance between the vertices using distance formula:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

So, we have:

[tex]qr = \sqrt{(-3- 1)^2 + (2 - 2)^2} = \sqrt{16} = 4[/tex]

[tex]rs = \sqrt{(1- 1)^2 + (2 - -2)^2} = \sqrt{16} = 4[/tex]

[tex]st = \sqrt{(1--3)^2 + (-2 - -2)^2} = \sqrt{16} = 4[/tex]

[tex]tq = \sqrt{(-3--3)^2 + (-2 -2)^2} = \sqrt{16} = 4[/tex]

The perimeter (P) is the sum of all sides:

[tex]P = qr + rs + st + tq[/tex]

[tex]P = 4 + 4 + 4 + 4[/tex]

[tex]P = 16[/tex]

Hence, the perimeter is 16 units.

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10.5821886 ounces is your answer

Step 1. Simplify 1/3x to x/3

-x/3 > 5

Step 2. Multiply both sides by 3

-x > 5 * 3

Step 3. Simplify 5 * 3 to 15

-x > 15

Step 4. Multiply both sides by -1

x < -15

Your answer is A.

Number of units purchased = 117

Amount paid to purchase 117 units = $ 1250

Selling price of 117 units = $ 1601

Here, let us assume that all the units were sold at the same price.

So, profit on 117 units = [tex]1601-1250= 351[/tex]

Now, profit per unit will be,

[tex]\frac{351}{117} =3[/tex]

Hence, the profit earned per unit is $3.

Answer:

-3

Step-by-step explanation:

Answer: c - 9

Step-by-step explanation: i did the quiz and this is the right answer

ANSWER

Yes it is very true

EXPLANATION

If the two equations intersect at [tex](50,60)[/tex] then this point must satisfy the two equations.

[tex]3x+2y=270---(1)[/tex]

We substitute  [tex](50,60)[/tex]  in to erquation (1)

[tex]3(50)+2(60)=270[/tex]

[tex]150+120=270[/tex]

[tex]270=270[/tex]

[tex]y=\frac{4}{5}x+20 ---(2)[/tex]

We now substitute  [tex](50,60)[/tex]  in to erquation (2) also

[tex]60=\frac{4}{5}(50)+20[/tex]

[tex]60=40+20[/tex]

[tex]60=60[/tex]

Since the point satisfy all the two equations, it is true that they intersect at [tex](60,50)[/tex]

Problem 1

Plug in x = 0 and solve for y to get the y intercept

6x+12y = 60

6(0)+12y = 60

12y = 60

12y/12 = 60/12 ... divide both sides by 12

y = 5

Answer: A) 5

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

Problem 2

Use the slope formula.

The two points are (x,1, y1) = (1, -1) and (x2, y2) = (-2, 8)

m = (y2-y1)/(x2-x1)

m = (8-(-1))/(-2-1)

m = (8+1)/(-2-1)

m = 9/(-3)

m = -3

Answer: A) -3

Answer:

(A) OE

Step-by-step explanation:

From the given figure, it can be seen that TG and LI are the chords of the circle with center O such that TG=LI=10.4 which means that TG is congruent to LI.

Also, OE and OH gives the shortest distance(perpendicular) of the chord LI and TG respectively from center of circle O.

And, We know that "the congruent chords are equidistant from the center of a circle."

Therefore, we can conclude that, OH is congruent to OE.

Hence, option (A) is correct.

From the figure we can conclude that OH is congruent to OE.

Further Explanation:

Given:

The options are as follows,

A. OH is congruent to OE.

B. OH is congruent to OE.

C. OH is congruent to OE.

D. OH is congruent to OE.

Explanation:

A point is a location on the graph or at any surface.

A line is the distance between the two points that extends to infinite in both directions.

A ray is defined as the distance between the two points that extends to infinite in one direction.

Plane extends in two dimensions.

The length of TG and LI is [tex]10.4{\text{ units}}.[/tex]

LI and TG are the chords of the circle with same length.

OE and OH are the perpendicular bisector of the chords LI and TG respectively.

The given chords of the circle are equidistant from the center of the circle.

From the figure we can conclude that OH is congruent to OE.

Learn more:

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Line and Rays

Keywords: congruent, fill, blank, conclude, OH, OE, chord, tangent, displacement, two chords, radius, center, circle, equidistant,  

Answer:

use the butterfly method

Step-by-step explanation:

D

area of a rectangle = length × width

area = (2x + 3)(x - 4) ( expand using FOIL )

       = 2x² - 8x + 3x - 12 = 2x² - 5x - 12 → D

Use [tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex](2x+3)^2=(2x)^2+2(2x)(3)+3^2=4x^2+12x+9[/tex]

Let

x-----------> the length of the rectangular corral

y-----------> the width of the rectangular corral

we know that

the area of the rectangular corral is equal to

[tex]A=x*y\\ A\geq 29,040\ ft^{2}[/tex]

so

[tex]x*y \geq 29,040[/tex] -------> inequality A

the perimeter of the rectangular corral is equal to

[tex]P=2x+y\\P \leq 1,364 ft[/tex]

so

[tex]2x+y \leq 1,364[/tex] -----> inequality B

using a graphing tool --------> resolve the compound system inequalities

see the attached figure

the solution is the shaded area

so

the length of 650 feet does  meet the requirements of the runners corral

and the width is 64 ft-------> see the graph

the answer is

a) the length of 650 feet does  meet the requirements of the runners corral

Mode means MOST.  Which number is displayed the most?

39, 43, 43, 50, 55, 61, 75, 78, 78, 78

Answer: 78

Note: I placed the data set into numerical order because it will help you to easily find the mode and also the median (middle number).

Javier's bank balance after 3 months would be $182.50

Using the parameters given for our Calculation;

The bank charge for the three month period ;

Balance after charges ;

Now we have ;

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A sidewalk is built 12 bricks wide by laying each brick side by side.

The size of each brick measures [tex]3\frac{3}{8}[/tex]

Convert the mixed fraction into improper fraction

[tex]3\frac{3}{8}= \frac{27}{8}[/tex]

The width of each brick is [tex]\frac{27}{8}[/tex]

To built side walk, 12 bricks are used

To find the width of side walk , we multiply the number of bricks with the width of each brick

[tex]12 * \frac{27}{8}[/tex]

We can cancel out 12  and 8

[tex]3 * \frac{27}{2}[/tex]

[tex]\frac{81}{2}[/tex]

[tex]40\frac{1}{2}[/tex] inches

Answer:

Measure of ∠P = 60°

Step-by-step explanation:

Consider triangle PMO.

Since PM is perpendicular to MO , hence m∠PMO = 90°

Also given that m∠MOP = m∠2 = 30°

And since sum of three angles of a triangle is 180°

⇒ m∠PMO + m∠MOP + m∠MPO = 180°

⇒m∠MPO = 180° - (m∠PMO + m∠MOP) = 180° - ( 90 + 30 ) = 60°

Hence m∠MPO that is m∠P is 60°

Answer:

m 2 = 30°, m P = 60

The correct choice is 60

divide 3,326 by 3 and if she gets 842 it should be reasonable

Answer:

No her answer is not reasonable.  If you round 842 to 850 and multiplied that by 3 you would get 2,550.  

Step-by-step explanation:

13,501 rounded to the nearest ten thousand is 14,000. This is because if you look at the 3, the number next to it is 5, causing it to round up. Numbers 0-4 are rounded down, and numbers 5-9 are rounded up.

Answer:

10,000

Step-by-step explanation:

When we round a number to the nearest ten thousand we check the digit at the thousand place,

If the digit ≥ 5,

The number is rounded to next ten thousand,

If the digit < 5,

The number is rounded to previous ten thousand.

Here, the given number,

13,501,

Digit at thousand place = 3 ( < 5 )

Thus, 13,501 ≈ 10,000 ( nearest ten thousand )

Answer:

6 appointments are cancelled per day

Step-by-step explanation:

Question says  4 out of 24 appointments are cancelled.

It means out of 1 appointment , the cancelled appointments = [tex]\frac{4}{24}[/tex]

=[tex]\frac{1}{6}[/tex]

Now the questions says each day there are 36 appointments

And we have to find how many appointments got cancelled each day,

It means we have to find how many appointments got cancelled out of 36 appointments each day

So we multiply 36  by [tex]\frac{1}{6}[/tex]

=[tex]36 * \frac{1}{6}[/tex]

= 6

Hence , 6 appointments got cancelled each day.

Jasmine has 6 appointments cancelled per day, determined by scaling the given cancellation ratio (4 out of every 24) to match the number of daily appointments she books (36).

To answer this question, we first need to understand the rate at which appointments are cancelled. The problem states that 4 out of every 24 appointments are cancelled. To find out how many appointments are cancelled each day, we use this ratio and apply it to the 36 appointments that Jasmine books each day.

First, we need to scale the ratio to match Jasmine's daily bookings. To do this, we multiply the numerator and denominator of the ratio by 36/24, which is 1.5. This gives us a new ratio of 6 cancellations for every 36 appointments.

So, each day, out of the 36 appointments that Jasmine books, 6 appointments are cancelled.

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First, combine like terms

-7x - 3x = -10x

-10x + 2 = -8x - 8

Isolate the x. Add 8x to both sides, and subtract 2 from both sides

-10x (+8x) + 2 (-2) = -8x (+8x) - 8 (-2)

-10x + 8x = -8 - 2

Simplify. Combine like terms

-2x = -10

Isolate the x. Divide 2 from both sides

(-2x)/-2 = (-10)/-2

x = -10/-2

x = 5

5 is your answer for x

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~Rise Above the Ordinary, Senpai

The solution of expression is,

x = 5

We have to given that,

Expression to solve,

-7x - 3x + 2 = - 8x - 8

Now, We can solve as,

-7x - 3x + 2 = - 8x - 8

First, combine like terms

-7x - 3x = -10x

-10x + 2 = -8x - 8

Add 8x to both sides, and subtract 2 from both sides

-10x (+8x) + 2 (-2) = -8x (+8x) - 8 (-2)

-10x + 8x = -8 - 2

Simplify. Combine like terms

-2x = -10

Divide 2 from both sides

(-2x)/-2 = (-10)/-2

x = -10/-2

x = 5

So, The solution of expression is,

x = 5

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Answer:

ans is 56

Step-by-step explanation:

for u = 2, x = 9, and y = 6

substituting into u + xy = 2 + 9*6 = 2 + 54 = 56

Answer:

56

Step-by-step explanation:

2+9*6

=2+54

=56