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3 years ago

Write a two column proof. given: bd perpindicular to ac and bd bisects ac prove: abd = cbd

Mathematics

1 answer:

ira [324]3 years ago

6 0

1. BD is perpendicular to AC - given

2.BD bisects AC - given

3. <BDC = 90 degrees; < BDA= 90 degrees - definition of perpendicular

4. m<BDC = m<BDA - substitution property

5. m<ABD = m<CBD - definition of a bisector

6. BD = BD - reflexive property

7. ABD = CBD - Angle-side-angle congruency theorem

hope this helps at all

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The shapes below are mathematically similar.

Lera25 [3.4K]

Answer:

Triangle small ABC

Triangle big DEF

AB = 8 cm , BC = 12 cm , DE = 20 cm , EF = x

So;

$\frac{AB}{DE} = \frac{BC}{EF} \\ \\ \frac{8}{20} = \frac{12}{x} \\ \\ 8x = 12 \times 20 \\ 8x = 240 \\ \\ x = \frac{240}{8} \\ \\ x = 30 cm$

I hope I helped you^_^

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3 years ago

Find the volume of the rectangular prism

WITCHER [35]

Answer:

V = 490 cm^3

Step-by-step explanation:

V = l*w*h

V = 7*10*7

V = 490 cm^3

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3 years ago

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a_sh-v [17]

Answer:

Step-by-step explanation:

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3 years ago

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Please help i've lost all hope and i dont understand algebra and i will give brainlyest

Margaret [11]

Word problem is a topic that involves interpreting a given statement into a mathematical expression. Thus the answers to the question are:

1. r + 2 = 2r

r = 2

2. d = st

3. b = 4r

There are 9 red cards in the pile.

Word problem is a topic that involves interpreting a given statement into a mathematical expression. This often requires representing the unknown in the statement by an alphabet. So that the value that the alphabet represents is to be determined.

Word problems can be easily interpreted a sentence at a time. And it usually gives an algebraic expression.

In the given question, we have:

a) The sum of a number and two is twice the number.

Let the number be represented by r, we have;

r + 2 = 2r

So that by collecting like terms,

2r - r = 2

r = 2

b) Lorrae swims laps at a constant speed, s, for 2 hours.

The speed, s, of an object is the rate of the distance moved, d, to the time taken, t.

i.e speed, s, = $\frac{distance}{time taken}$

So that,

distance = speed * time taken

This implies that,

d = s * t

d = st

c) The number of black cards in a pile is 4 times the number of red cards. There are 36 black cards in the pile.

Let the number of black cards be represented by b, and that of red cards be r.

So that;

b = 4r

Given that b = 36, then;

r = $\frac{36}{4}$

= 9

There are 9 red cards in the pile.

For more clarifications on word problems, visit: brainly.com/question/10731035

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2 years ago

Arielle went to the store and

zhuklara [117]

Answer:

Step-by-step explanation:

let s be the cost of each shirt

20 + 6s = 56

subtract 20 from both sides

6s = 36

divide both sides by 6

s = 6

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3 years ago

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