Geometry...Please help as soon as possible please and Thank you!!!

Mathematics

1 answer:

Triss [41]3 years ago

8 0

Answer:

Step-by-step explanation:

Statment1. BD bisects ∠ABC

Reason1. Given

Statment 2. ∠ABD≅∠DBC (A)

Reason2. Definition of angle bisector

Statment 3. BD≅BD (S)

Reason3. Reflexive propriety

Statement 4. ∠BDA≅∠BDC (A)

Reason 4. Given

Statement 5 ΔABD≅ΔCDB

Reason 5. ASA theorem of congruency

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Please help, seriously confused

Rufina [12.5K]

Original height = original width = x mm

1. She made an enlarged copy...
height = 2x
width = 2x

2. She cut off a rectangle...
height = 2x
width = $\frac{2}{3} *2x= \frac{4}{3}x$

3.She doubled the width...
height = 2x
width = $2*\frac{4}{3}x = \frac{8}{3}x$

height * width = area

$2x * \frac{8}{3}x=139 \ 968 \\ \\ \frac{16}{3}x^2= 139 \ 968 \\\\ x^2=139 \ 968: \frac{16}{3}=139 \ 968 * \frac{3}{16}= 8 \ 748*3 = 26 \ 244 \\ \\ x= \sqrt{26 \ 244} = 162 \ mm$

Original height was 162 mm

6 0

3 years ago

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 8

Delicious77 [7]

Answer:

x = 32

Step-by-step explanation:

∠BCA = ∠DBA (90 - ∠DBC)

∠A = ∠A

ΔABD similar to ΔACB

AC/AB = AB/AD

x / 8 = 8 / 2

x = 32

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3 years ago

Elena’s bus runs every 20 minutes. If she arrives at her bus stop at a random time, what is the probability that she will have t

Bond [772]

We try to represent the data in segments from 0 to 20.
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6 0

3 years ago

Read 2 more answers

What is the measure of ∠S ?

jeka94

Alright, lets get started.

We could use sine law to find the remaining angle.

$\frac{sinA}{a} = \frac{sinB}{b}$