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3 years ago

Help with this proof

Mathematics

1 answer:

musickatia [10]3 years ago

6 0

AD = DB

Angle ADE = Angle CDB

Angle DAE = Angle DBC (Alternate angles)

Angle DEA = Angle DCB (Alternate angles)

Since you have two congruent angles and one congruent side, triangle ADE is congruent to triangle CDB. This means that DE is congruent to DC implying D is the midpoint of CE.

You might be interested in

Multiply 2(x+3)/x(x-1)*4x(x+2)/10(x+3)

KIM [24]

Answer:

The expression simplifies to $\frac{4(x+2)}{5(x-1)}$ .

Step-by-step explanation:

The expression

$\frac{2(x+3)}{x(x-1)} *\frac{4x(x+2)}{10(x+3)}$

can be rearranged and written as

$\frac{8x(x+3)(x+2)}{10x(x-1)(x+3)}.$

In this form the $(x+3)$ terms in the numerator and in the denominator cancel to give

$\frac{8x(x+2)}{10x(x-1)}.$

The $x's$ are present both in the numerator and in the denominator, so they also cancel, and the fraction $\frac{8}{10}$ simplifies to $\frac{4}{5}$ , so finally our expression becomes:

$\boxed{\frac{4(x+2)}{5(x-1)}}$

Which is our answer:)

6 0

2 years ago

Use the Distributive Property to rewrite each expression. -7 (5 - n)

daser333 [38]

The answer is

-35 - 7n

8 0

3 years ago

You have to fill in the blank for this one 4/9 divided by blank equals 12

photoshop1234 [79]

For this case, the first thing we must do is define a variable.

We have then:

x: unknown number

We now write the expression that models the problem:

$\frac{\frac{4}{9}}{x} = 12$

From here, we clear the value of x.

We have then:

$\frac{4}{9}=12x$

$\frac{4}{9(12)}=x$

$x=\frac{4}{108}$

$x=\frac{1}{27}$

Answer:

4/9 divided by 1/27 equals 12

6 0

2 years ago

Read 2 more answers

Does anyone have the answers for all?

Shkiper50 [21]

Answer and Step-by-step explanation:

1-6

What you can do is plug in 6 and start by doing the first machine first, then the second. If this doesn't work, do the second machine, then the first machine.

The order that works is second machine, then first machine.

Second Machine:

y = $(6)^{2} -6$ = 36 - 6 = 30

Plug into first machine now.

First Machine:

y = $\sqrt{(30) - 5} = \sqrt{25} = 5$

We see that the result is 5.

b. If we were to do the order of second machine, then first machine, we will never get a negative result (or -5 for that matter), due to the fact that you can't algebraically square root a negative number.

However, if we were to do the order of first machine, second machine, we can get a negative number. To get -5, we plug in 6 for x in the first machine, getting an answer of 1. We plug this into the second machine, getting 1^2 - 6, which results in -5.

1-7. The absolute value of a value is the positive version of that value.

a. |54| = 54

b. $-|-7\frac{3}{5}|$ = $-7\frac{3}{5}$

c. |3| - |-1| = 3 - 1 = 2

d. |2.2 - 5.13| = |-2.93| = 2.93

1-8.

| |

| |

| || || || || |

(5 boxes on each side)

| |

| |

| || || || || || |

(6 boxes on each side)

b. The amount of squares on each side of the figure increases by 1.

c. There would be 1 square, because we know that the pattern is there is 2 squares added to the next figure, 1 at each end. If we go back a figure, we take away 2 squares.

1-9.

a. -42 - 17 = -59

b. 8 - (-9) = 8 + 9 = 17

c. 8(-9) = -72

d. -42 ÷ (-7) = 6

e. -2(-3)(-4) = 6(-4) = 24

f. -18 - 7 = -25

g. $(-5)^{2}$ = 25

h. $-5^{2} = -(5)^2 = -(25)$ = -25

i. $\sqrt{49}$ = 7

1-10. x = 2 Plug 2 in for x, then solve.

a. y = 7 - 3(2) = 7 - 6 = 1

b. y = $(2)^2 -1$ = 4 - 1 = 3

c. y = $\frac{18}{2}$ = 9

#teamtrees #PAW (Plant And Water)

I hope this helps!

8 0

2 years ago

HELP!! URGENT!! GIVING AWAY 50 POINTS to correct answer!!

NNADVOKAT [17]

The figure seems like its a parallelogram.

In a parallelogram :
Opposite sides are equal and
Opposite angles are equal
Hence, The side opposite to 9in. is equal to 9in. and the side opposite to 10in. is equal to 10in.

Area of the figure =b×h
= 8×10
=80in.sq.

7 0

3 years ago

Read 2 more answers