Match each graph to its equation. 1. y = 2x - 3 2. y = -2x + 3 3. y = 2x + 3 4. y = -2x - 3

Given that,

AD is parallel to EC, BD is congruent to BC.

Solution,

Here,

[tex]\angle D=\angle C[/tex] = the reason for this is that the two angles are alternate interior angle. So, by alternate interior angle theorem [tex]\angle D=\angle C[/tex].

As [tex]\angle ABD=\angle EBC[/tex] = due to vertically opposite theorem

It means,

[tex]\triangle ABD \cong \triangle EBC[/tex] (angle-side-angle)

Hence, the correct option is (c).

Answer:

Step-by-step explanation:

To find out how much should he drive more = 7/8 - 1/8 = 6/8

6/8

Both have table of 2 in common so

3/4 is the simplest form

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

No. of remaining days = [tex]\frac{7}{8}[/tex] - [tex]\frac{1}{8}[/tex]

If the denominators are the same, you can directly do the working for the numerators while leaving the denominator alone.

[tex]\frac{7}{8}[/tex] - [tex]\frac{1}{8}[/tex] = [tex]\frac{6}{8}[/tex]

6 and 8 both have a common factor of 2, so we can further simplify this fraction.

[tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]

Thus, he must drive for [tex]\frac{3}{4}[/tex] more days.

Answer:

Yes because the decimal doesn't go on forever

Answer:

Yes

Step-by-step explanation:

0.46 is a terminating number because it has a finite number of decimal digits. Hence the name terminating, there is a terminated or ending to the decimal.

Answer:

look down below

Step-by-step explanation:

We know that AB = DC, and BC = AD, ∠B = ∠D because they are given

So, ΔABC ≅ ΔCDA because of SAS congruency

You need to find which two perfect squares is the sqrt{18} between.

sqrt{16} is a perfect square = 4

sqrt{25} is a perfect square = 5.

We conclude the sqrt{18} lies between the sqrt{16} and sqrt{25}.

Answer:

3.1 Modifying Above 1 with bar is the correct answer .

Answer: 3.1 modifying ounces

Step-by-step explanation:

84/27 = 3.11111111

Answer:

-9

Step-by-step explanation:

8-17=-9

Answer: -9

Check: -9 + 17 = 8 (Check)

I hope this helps, and Happy Holidays! :)

Answer:

HL = 21

Step-by-step explanation:

HL is the midsegment of the trapezoid shown above. Thus, it follows that:

HL = (JK + GF)/2

JK = 12

GF = 2.5(JK) = 2.5(12) = 30

Plug in the values:

HL = (12 + 30)/2

HL = 42/2

HL = 21

The graph of the line is shown below

From the question, we are to determine the graph of the line by plotting any two ordered pairs

First, we will find two ordered pairs on the line

y = -3x

When x = 1

y = -3x

y = -3(1)

y = -3

(1, -3)

When x = 2

y = -3x

y = -3(2)

y = -6

(2, -6)

Using the ordered pairs, the graph of the line is shown below

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Answer:

the answer should be 18.5

Answer:

hehe

Step-by-step explanation:

Step-by-step explanation:

I give you answer later ..........

Answer:

The width is 16.8 m

Step-by-step explanation:

A = l * w

w = A/l

w = 84m^2 / 5m

w = 16.8m

2652÷78=34 so I think it's 34

Answer:

the y-intercept is (0,8)

Answer:

To avoid confusion in using the word "particle," one must state that a particle is an identifiable part of dust, a molecule, an atom, or an electron.  This means that particles form these elements.

Step-by-step explanation:

For example, atoms are made up of three particles: protons, neutrons and electrons.  These particles are each composed of even smaller particles known as quarks.  Since quarks cannot be broken down further, they are the smallest particles known to mankind.

Answer:

$1680

Step-by-step explanation:

I = 5%

P = $1600

period = 1 year

$1600 + 15% = $1680

Answer:

$1680.

Step-by-step explanation:

The interest for 1 year = 1600 * 5%

= 1600 * 0.05

= $80.

So the new balance = old balance + interest

= 1600 + 80

= $1680.

Answer:

x=25

Step-by-step explanation:

Answer:

15d I think

Step-by-step explanation:

Because 9+6 is 15 and then you add the d to 25

Answer:

You can't solve this question unless you have an subject to solve for. This equation is in its simplest form.

If I got your question wrong, please leave a comment! :D As I might be wrong.

Stay safe and Merry Christmas! :)

Answer:

Step-by-step explanation:​

The general equation of a circle is expressed as;

(x-a)² + (y - b)² = r² where;

(a, b) is the centre of the circle

r is the radius

Given

Centre (-8, 9) where a = -8, b = 9

radius r = 10

Substitute into the formula to get the required equation;

(x-(-8))² + (y - 9)² = 10²

(x+8))² + (y - 9)² = 10²

(x+8)² + (y - 9)² = 100

Hence the required equation is (x+8)² + (y - 9)² = 100

Answer:

-5/6

Step-by-step explanation:

-2/3 / 4/5 =

-2/3 * 5/4 =

-10/12 =

-5/6

Answer:

-5/6

Step-by-step explanation:

just divide it you will get the answer

The required quadratic function in the standard form is f(x) = -1.25 x² + 5x.

What is a quadratic equation ?

A quadratic equation is an equation which contains a single variable of degree 2 and its general form is ax² + bx + c = 0.

The x - intercepts of the quadratic equation are (-5, 0) and (0 , -8). That meant (x + 5) and (x -0) are two factors of quadratic equation.

f(x) = a (x + 5) (x - 0)

f(x) = ax² + 5x

The graph of quadratic equation passes through (4 , 0). So we need to substitute x = 4 , f(x) = 0 in equation 1.

0 = a × 4² + (5 × 4)

0 = a × 16 +20

a = -20/16

We know that quadratic equation is in form ax² + bx + c = 0.

f(x) = [tex]\frac{-20}{16}[/tex] × x² + 5x

f(x) = [tex]\frac{-5}{4}[/tex]x² + 5x

f(x) = -1.25 x² + 5x  

Therefore , the required quadratic function in the standard form is f(x) = -1.25 x² + 5x.

Learn more about quadratic function here :

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[tex] {a}^{x} = m \\ log_{a}(m) = x[/tex]

[tex]( \frac{1}{3} )^{x} = 27 \\ log_{ \frac{1}{3} }(27) = x[/tex]

That's the logarithmic form. Do you need with solving the equation too?

Answer:

ZY = 15

Step-by-step explanation:

ZY is congruent to GF, so you set the equation up as

2n-5 = n+5

   +5      +5

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

2n = n+10

-n     -n

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

n = 10

After you get n, you plug it in to 2n-5 (ZY)

2(10)-5

20-5

15

ZY=15

Answer:

78%, no he didn't score high enough

Step-by-step explanation:

Answer        3 1 /2 in decimal it is -3.5    

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

64+56=120

189-120=C. $69

Answer:

x>7

Step-by-step explanation:

Answer

7 is less than x

Answer step by step explanation:

The ratio of Elena's hair ties to Melanie At first is 32/8 divide by eight is 4:1

The new hair ties after Melanie gets 4 is 12 ,so the new ratio of Elena's hair ties to Melanie that is 32/12 divided by four will be 8:3

Answer:

(x-2)^1/4=2 ---> 18

√x^2+7=4. ---> -3

^3√1-x=-1. ---> 2

Step-by-step explanation:

just did it on plato

The numerical expression [tex]\rm (x - 2)^{1/4} = 1[/tex], √x² + 7 = 4, and ∛(1 - x) = -1 are correctly matched with 18, -3, and 2.

Simplification is to make something easier to do or understand and to make something less complicated.

The expressions are given below.

[tex]\rm (x - 2)^{1/4} = 1[/tex], √x² + 7 = 4, and ∛(1 - x) = -1

Then By simplification, we have

x - 2 = 2⁴

    x = 16 + 2

    x = 18

√x² + 7 = 4

x + 7 = 4

x = -3

∛(1 - x) = -1

    1 - x = -1³

        x = 2

The numerical expression [tex]\rm (x - 2)^{1/4} = 1[/tex], √x² + 7 = 4, and ∛(1 - x) = -1 are correctly matched with 18, -3, and 2.

More about the simplification link is given below.

https://brainly.com/question/12616840

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