All categories

3 years ago

Given: BC bisects DBE. Prove: ABD is congruent to ABE

Mathematics

1 answer:

Arada [10]3 years ago

7 0

Answer:

See below

Step-by-step explanation:

BC bisects <DBE and if AC is a straight line then you have that:

<ABD + <DBC = 180 (straight angle because of line AC)

<ABE + <CBE = 180 ( straight angle because of line AC)

Because BC bisects <DBE => < DBC = <CBE

So <ABD and <ABE must be the same to both sum 180 when added < DBC

You might be interested in

An actor is rehearsing his lines in two scenes. He has 12 lines in scene 1, and 16 lines in scene 2. There are 24 lines total in

Lelu [443]

Scene two because he has more than half of the lines

8 0

3 years ago

One month Abdul rented 3 movies and 5 video games for a total of . The next month he rented 6 movies and 2 video games for a tot

MrMuchimi

Answer:

Video Games = $5.25

Movies = $1.25

Step-by-step explanation:

(3x + 5y = 30)2

6x + 2y = 18

Video Games (y) = 5.25

6x + 10y = 60

(8y)/8 = (42)/8

6x + 2(5.25) = 18

6x + 10.5 = 18

6x = 7.5

x = 1.25

Double Check by plugging in the numbers

7 0

4 years ago

The diameter of a circle is 6 m. Find its area in terms of π π.

Xelga [282]

Step-by-step explanation:

this is totally simple.

the formula for the area of a circle (as you can find with any search on the internet in seconds) :

A = pi×r²

r is the radius.

and once you understand even the most basics of a circle, you know that the radius is half of the diameter.

so, in our case, r = 6/2 = 3 m

the area of the circle is therefore

pi×r² = pi×3² = pi×9 m²

4 0

3 years ago

Read 2 more answers

6(m-1) = 3(3m + 2) Show all work

nordsb [41]

Answer:

$\boxed{\sf m = -4}$

Step-by-step explanation:

$\sf Solve \: for \: m: \\ \sf \implies 6 (m - 1) = 3 (3 m + 2) \\ \\ \sf Expand \: out \: terms \: of \: the \: left \: hand \: side: \\ \sf \implies 6 m - 6 = 3 (3 m + 2) \\ \\ \sf Expand \: out \: terms \: of \: the \: right \: hand \: side: \\ \sf \implies 6 m - 6 = 9 m + 6 \\ \\ \sf Subtract \: 9 m \: from \: both \: sides: \\ \sf \implies (6 m - 9 m) - 6 = (9 m - 9 m) + 6 \\ \\ \sf 6 m - 9 m = -3 m: \\ \sf \implies -3 m - 6 = (9 m - 9 m) + 6 \\ \\ \sf 9 m - 9 m = 0: \\ \sf \implies -3 m - 6 = 6 \\ \\ \sf Add \: 6 \: to \: both \: sides: \\ \sf \implies (6 - 6) - 3 m = 6 + 6 \\ \\ \sf 6 - 6 = 0: \\ \sf \implies -3 m = 6 + 6 \\ \\ \sf 6 + 6 = 12: \\ \sf \implies -3 m = 12 \\ \\ \sf Divide \: both \: sides \: of \: -3 m = 12 \: by \: -3: \\ \sf \implies \frac{ - 3m}{ - 3} = \frac{12}{ - 3} \\ \\ \sf \frac{ - 3}{ - 3} = 1: \\ \sf \implies m = \frac{12}{ - 3} \\ \\ \sf - \frac{12}{3} = - 4 : \\ \sf \implies m = - 4$

7 0

3 years ago

-2/3x + 2.8 = -8.2 what is x

JulsSmile [24]

-2/3x + 2.8 = -8.2 what is x
Add 2.8 on both side of the equation
-2/3x=-11
Divide both side by -2/3
x=33/2

Check: -2/3(33/2)+ 2.8 = -8.2
-11+2.8=-8.2
-8.2=-8.2

Answer is x=33/2

6 0

4 years ago