What is the value of the digit 3 in 20,320

Adding to the solutions and points gotten, we can further say that: Opposite angles of the parallelogram are congruent, by the theorem of Side Angle side (SAS) (i.e angle AEB = CED )

<h3>Meaning of Congruence</h3>

Congruence can be defined as a term used to depict a state of two object being equal, in harmony, and in agreement.

The congruence of a shaped is verified by some laws which they both must satisfy.

In conclusion, the triangle is congruent with the fact stated in the question and the additional fact added above.

Learn more about congruence: brainly.com/question/3168048

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3 0

1 year ago

67. The line contains the point (4,0) and is parallel to the line defined by 3x = 2y.

olganol [36]

Answer:

$y=\frac{3}{2} x-6$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

Parallel lines will always have the same slope but different y-intercepts.

1) Determine the slope of the parallel line

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

$3x = 2y$

Switch the sides

$2y=3x$

Divide both sides by 2 to isolate y

$\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x$

Now that this equation is in slope-intercept form, we can easily identify that $\frac{3}{2}$ is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope $\frac{3}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{3}{2} x+b$

2) Determine the y-intercept

$y=\frac{3}{2} x+b$

Plug in the given point, (4,0)

$0=\frac{3}{2} (4)+b\\0=6+b$

Subtract both sides by 6

$0-6=6+b-6\\-6=b$

Therefore, -6 is the y-intercept of the line. Plug this into $y=\frac{3}{2} x+b$ as b:

$y=\frac{3}{2} x-6$

I hope this helps!

7 0

2 years ago

Calculate the following derivative if f(x) = sin(x) and g(x) = 5x + 4.

gayaneshka [121]

Answer:

Rewrite the function as an equation.

y

=

5

x

−

4

Use the slope-intercept form to find the slope and y-intercept.

Tap for fewer steps...

The slope-intercept form is

y

=

m

x

+

b

, where

m

is the slope and

b

is the y-intercept.

y

=

m

x

+

b

Find the values of

m

and

b

using the form

y

=

m

x

+

b

.

m

=

5

b

=

−

4

The slope of the line is the value of

m

, and the y-intercept is the value of

b

.

Slope:

5

y-intercept:

−

4

Any line can be graphed using two points. Select two

x

values, and plug them into the equation to find the corresponding

y

values.

Tap for fewer steps...

Choose

1

to substitute in for

x

to find the ordered pair.

Tap for fewer steps...

Replace the variable

x

with

1

in the expression.

f

(

1

)

=

5

(

1

)

−

4

Simplify the result.

Tap for more steps...

1

The

y

value at

x

=

1

is

1

.

y

=

1

Choose

0

to substitute in for

x

to find the ordered pair.

Tap for fewer steps...

Replace the variable

x

with

0

in the expression.

f

(

0

)

=

5

(

0

)

−

4

Simplify the result.

Tap for more steps...

−

4

The

y

value at

x

=

0

is

−

4

.

y

=

−

4

Create a table of the

x

and

y

values.

x

y

0

−

4

1

Graph the line using the slope and the y-intercept, or the points.

Slope:

5

y-intercept:

−

4

x

y

0

−

4

1

Step-by-step explanation:

8 0

2 years ago