Im just confused how to solve the length.

Question

03-02-2022
Mathematics

Answered

IDNLearn.com: Your trusted source for accurate and reliable answers. Get the information you need from our community of experts who provide accurate and comprehensive answers to all your questions.

Im just confused how to solve the length.

Sagot :

Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.

The Market Equilibrium Quantity Without The $4 Excise Tax Is ______________ Units. The Market Equilibrium Quantity With The $4 Excise Tax Is ______________ Unit

1 Completa El Cuadro Escribiendo Las Caracteristicas De Las Fuentes Históricas Que Se indican En Cada Columna. Fuentes Primarias Fuentes Secundarias

Yo Deposit $4500 In An Account That Pays 1% Interest Compounded Quarterly The Balance After 12 Years

Using The Order Of Operations, Which Operation In The Given Expression should We Complete First?

I Have 16 Coins In My Pocket, With Only Have Dimes And Quarters. If I Have $3.40, How many Of Each Coin Do I Have?

£140 Is Divided Between Gavin, Jim & Krutika So That Gavin Gets Twice As Much As Jim, And Jim Gets Three Times As Much As Krutika. How Much Does Gavin Get?

Systems Corporation Earned A Net Operating Income Of $2 Million On Sales Of $6 Million. Assume That The Company's Average Operating Assets Were $20 Million. Wha

There Were A Number Of Political, Economic, And Social Challenges Facing The United States After The Civil War. Which Of The Following Was Primarily A Social Ch

John Downloaded Alten Cleaner, A Program That Poses As A Computer Registry Cleaner, On His Computer. Once He Installed The Program On His Computer, The Program

The __________ Is Considered The Seat Of Complex Thought. A. Forebrain B. Cerebrum C. Cerebellum D. Hypothalamus Please Select The Best Answer From The Choices

Sqdancefanidn Sqdancefanidn · Answer 1 · 2022-02-03T17:03:30-05:00

Answer:

a) angle DEF = 75°

b) DF = 21/4 cm = 5 1/4 cm

c) BC = 20/3 cm = 6 2/3 cm

Step-by-step explanation:

I sometimes find it helpful to write down corresponding angles and sides:

Angles:

A and D
B and E (75°)
C and F

Sides:

AB (4 cm) and DE (3 cm)
BC (??) and EF (5 cm)
CA (7 cm) and FD (??)

__

The triangles are similar, so corresponding angles are congruent, and corresponding sides are proportional. This lets us write proportions for the missing side lengths:

DF/CA = DE/AB

DF = CA(DE/AB) = (7 cm)(3/4) = 21/4 cm

and

BC/EF = AB/DE

BC = EF(AB/DE) = (5 cm)(4/3) = 20/3 cm

_____

Additional comment

We have written the proportions so the unknown value is in the numerator of the fraction. That lets us solve it in a single step: multiply the equation by the denominator. This means the proportion in part (b) has the smaller length in the numerator, while the proportion in part (c) has the larger length in the numerator.

Sagot :

Other Questions