For each pair of congruent triangles, name the corresponding parts then complete the congruence statement

Answer:

Below in bold.

Step-by-step explanation:

9x^2 - 16

Comparing this with the standard form

ax^2 + bx + c

ac = 9*-16 = -144

b = 0

-12 and 12 multiply to get ac and add to get b.

Factored form is

(3x - 4)(3x + 4).

The value of ac is,

⇒ - 144

The value of b is,

⇒ b = 0

And, The factored form is,

⇒ (3x - 4) (3x + 4)

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The quadratic equation is,

⇒ 9x² - 16

Now, We know that;

General form of quadratic equation is,

⇒ ax² + bx + c

Here, The quadratic equation is,

⇒ 9x² - 16

Hence, By comparing,

⇒ a = 9

⇒ b = 0

⇒ c = - 16

Thus, The value of ac is,

⇒ ac = 9 × - 16

        = - 144

And, The factored form is,

⇒ 9x² - 16

⇒ (3x)² - 4²

⇒ (3x - 4) (3x + 4)

Thus, The value of ac is,

⇒ - 144

The value of b is,

⇒ b = 0

And, The factored form is,

⇒ (3x - 4) (3x + 4)

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Answer:

$4

Step-by-step explanation:

Since for each of the 125 tickets there is an equal chance of winning the 500 dollars, for each ticket there is an expected payoff of 500/125=4 dollars. Hope this helps!

constant it will keep going up and it won't stop

In the graph, the line is increasing from left to right. Therefore, option A is the correct answer.

We need to check whether the given graph is increasing, decreasing, or constant.

Increasing: A function is increasing, if as x increases (reading from left to right), y also increases. In plain English, as you look at the graph, from left to right, the graph goes uphill. The graph has a positive slope.

From the given graph we can see that the line is increasing from left to right.

In the graph, the line is increasing from left to right. Therefore, option A is the correct answer.

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Step-by-step explanation:

This question gives us a point on a line and the slope of that line. So, the easiest way to answer this question is to use point-slope form, which is written as:

y-y₁ = m(x-x₁)

So, first of all, we are trying to find y (y, not y₁ which is the y-coordinate of the point we were given). We can go ahead and add y₁ to both sides to get:

y = m(x-x₁) + y₁

We can now simplify the equation to:

y = m·x - m·x₁ + y₁

Now we just input the given information.

m = 5 (slope)

x = 21

x₁ = 5

y₁ = 6

Now we have all the information we need and we can solve.

y = 5·21 - 5·5 + 6

y = 105 - 25 + 6

y = 86

So y, when x = 21, is equal to 86.

Answer:

Hope this helps.

Step-by-step explanation:

So for ASA, the two triangles have to have two angles congruent, and in the middle of those angles, they have to have a line that's congruent.

For SAS, the two triangles have to have two lines congruent, and in the middle of those lines, they have to have an angle that's congruent.

For AAS, the two triangles have to have two angles congruent, but the line that's congruent has to be on the side, not in the middle.

Steps to solve:

5x^3 * 2x^2

~Apply exponent rule

5x^3+2 * 2x

~Simplify

5x^5 * 2x

~Combine like terms

10x^5

Best of Luck!

Answer:

(0,7)

Step-by-step explanation:

This is in the form

y = mx+b where m is the slope and b is the y intercept

y = -5x +7

The slope is -5 and the y intercept is 7

(0,7)

Answer:

(0,7)

Step-by-step explanation:

y=mx+b

y=-5x+7

so y intercept is (0,7)

Answer:

See Explanation

Step-by-step explanation:

The answers are in the attachment already; I guess you need an explanation.

For the first answer

- The bars of Paris, Oslo and Munich are not properly drawn.

This is so because distance between the bats of a bar chart is expected to be the same between all bars.

From the attachment above, it doesn't look so because the bats of these three cities are out of position.

In other words, the vertical lines of the bars must align with the vertical lines of the grid in the graph.

- The Temperature in the y axis doesn't start with 0

When plotting a graph, the origin must be 0 but in the attachment above, Joan used an origin of 2, which is totally incorrect.

- In Munich, the bar graph for x axis is taken more than 1 unit.

The bars of the bar graph should maintain a constant width but from the attachment above, the width of the bar is wider than the width of other bars

Answer:

112

Step-by-step explanation:

find LCM

4,7,8,16=112

Answer:

-8y = 6

Step-by-step explanation:

-6x+4y = -8

6x -12y = 14

Add the equations

-6x+4y = -8

6x -12y = 14

--------------------

0x -8y = 6

Answer:

Negative 8 y = 6

Step-by-step explanation:

6x + 4y = - 8.... (1)

6x -12y = 14....... (2)

Adding (1) & (2)

- 6x + 4y = - 8

6x - 12y = 14

--------------------

0x -8y = 6

= - 8y = 6

Hope this helps!

Answer:

y = 1/2x - 1

Step-by-step explanation:

The easiest was you do this is to first rearrange the equation into slope-intercept form (y = mx + b).  After rearranging, you can find the slope (m).

2x + y = -5

y = -2x - 5

The slope is -2.  Since the line we are trying to find is perpendicular, find the inverse and multiply it by -1.

-2  =>  1/2

Now use the point-intercept form to find the new equation.  Use the slope (1/2) and the given point (-1, -2).

y - y₁ = m(x - x₁)

y - (-2) = 1/2(x - (-2))

y + 2 = 1/2(x + 2)

y + 2 = 1/2x + 1

y = 1/2x - 1

The equation of the line perpendicular to line WX is  y = 1/2x - 1.

The equation is y = (1/2)x -(3/2) ; y = one half x − three halves.

The correct option is D.

What is the equation of a Straight Line?

An equation of the straight line is given by y = mx+c,

Here m is the slope and c is the intercept on y-axis.

The equation of the line WX is 2x+y = -5

y = -2x -5

The product of the slopes of the line and the line perpendicular to this line will be -1

Therefore the slope of the line perpendicular to the line WX is -2 * m = -1,

m = 1/2

y = (1/2)x +c

The line passes through the points (-1, -2)

-2 = (1/2) (-1) +c

c = -2 +(1/2)

c = (-4 +1) /2

c = -3/2

Therefore, the equation is y = (1/2)x -(3/2) ; y = one half x − three halves.

The correct option is D.

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Answer:

Step-by-step explanation:

Translation: You move the shape by moving the points on the shape by the number, it changes the location of the shape.

Reflection: There is a line of reflection and the shape will be reflected by that, like a mirror, so it will be the same shape, same size.

Rotation: There is a point of rotation and the shape will just move around that point and will change the positioning if the shape. Always has coordinates

Answer:

hdhufhduh

Step-by-step explanation:

Answer:

Brainliest goes to me!

Step-by-step explanation:

367.5

50(1.05)7

50 x 1.05 x 7 = 367.5

or

50 x 1.05^7 = 70.3550211328125

Answer:

[tex]70.36[/tex]

Step-by-step explanation:

[tex]50(1+0.05)^7[/tex]

[tex]50 \times (1.05)^7[/tex]

[tex]=70.355021[/tex]

Answer:

Step 2.

-11/12 > -1.5

1.6 > 5/4

1 < 5/4

Step-by-step explanation:

Eval should have swapped the numerator and denominator of 4/9 when she replaced division by multiplication.

hi

if you mean   :   1/6 =    ... / 6   it's 3  as 3/6 = 1/2

Answer:

$2000

Step-by-step explanation:

3,000,000/1500=$2000

Answer:

1.13 cm

Step-by-step explanation:

V=1/3 * pi*r^2*h

h=12 cm (assuming, since that's what you gave)

V=16

r=1.13 cm

Answer:

X=1550-10y

Step-by-step explanation:

X+10y=1550

Subtract 10y from each side

X+10y- 10y=1550-10y

X=1550-10y

Answer:

[tex]x = 1550 - 10y[/tex]

Step-by-step explanation:

[tex]x + 10y = 1550 \\ x + 10y - 10y = 1550 - 10y \\ x = 1550 - 10y[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

y = 8.5x

Step-by-step explanation:

A proportional relation in one in which change of value of y with respect to change of value of x remains proportional. It can be represented by equation

y = kx, where k is constant of proportionality

________________________________________________

Let  the  relation be

y = kx

but we have a as 3 and b as 25.5

thus

substituting value of and a and b in y = kx , we have

25.5 = k*3

=> k = 25.5/3 = 8.5

Thus, equation which can represent this relation is y = 8.5x

Answer:

5.8 is what I think it is. I also got 4.6 on another calculator.

Step-by-step explanation:

I did it on math-way.

Answer:

C

Step-by-step explanation:

Both A and B are true identities.

See attachment.

Answer:

  the SSS similarity theorem

Step-by-step explanation:

The triangles are not indicated as being right triangles (even though we know they are), so we cannot use the HL theorem.

The ratios of corresponding sides are the same, so the applicable theorem is ...

  the SSS similarity theorem

__

3/(3+6) = 4/(4+8) = 5/15 = 1/3 . . . the ratio of shorter sides to corresponding longer sides.

_____

Additional comment

You recognize the smaller triangle as a 3-4-5 right triangle, and notice that the larger triangle is 3 times that size. If angle C were marked as the right angle it is, then the HL similarity theorem could also be used.

Answer:

I don't have an answer but I have a helpful example.

If a number is increased by 8, the result is 25 Find the number.

Step-by-step explanation:

Let x be the number.  Increasing x by 8 gives x + 8, which we are told is 25.  Therefore, x + 8 = 25.  Subtract 8 from both sides to find x = 17.  So, the number is 17.

Answer:

256

Step-by-step explanation:

Assuming that the length of his garage is the longer dimension (16), the area of the square yard must be 16*16=256 square units. Hope this helps!

Answer:

Since the figures are congruent, their areas must also be congruent so the answer is 28.

Answer:

y = 3x

where y is the plant height in cm and x is the time in months

at 12 months, height would be 36 cm

Step-by-step explanation:

Here, we want to model the data

let’s call the months x and the height y

What do you notice?

we can clearly see that the height is always 3 times the month

3 * 3 = 9

5 * 3 = 15

7 * 3 = 21

9 * 3 = 27

so we can say that;

Time in months * 3 = Plant height in cm

using the x and y notation;

x * 3 = y

or simply y = 3x

Now the height at 12 months can be calculated by substituting the value of x for 12

y = 3 * 12 = 36 cm

Answer:

x = 2

y = 4

or (2 , 4)

Step-by-step explanation:

Since both equations are equal to y we can substitute one of the equations to fill in the spot of y so that both equations are equal to each other with no y variable.

[tex]3x-2 = x+2\\[/tex]

Now we can solve x.

[tex]3x= x+4\\[/tex]

[tex]2x = 4\\[/tex]

x = 2

Now that we have solved for one variable we can plug this back into either equation and solve for y.

[tex]y = 2 + 2\\[/tex]

y = 4

Answer:

0.2666666667

Step-by-step explanation: