YourAverageFangirl
YourAverageFangirl YourAverageFangirl
  • 25-09-2020
  • Mathematics
contestada

Given:△ABC∼△DEF, ∠C is a right angle, AB=17, AC=15, BC=8, m∠B=62∘, DE=34, EF=16,and DF=30.


What is the measure of ∠D?

GivenABCDEF C is a right angle AB17 AC15 BC8 mB62 DE34 EF16and DF30What is the measure of D class=

Respuesta :

mhanifa
mhanifa mhanifa
  • 25-09-2020

Answer:

  • 28°

Step-by-step explanation:

We can see the scale factor is 2 from the side lengths:

  • 8→16, 15→30, 17→34

Corresponding sides are:

  • AB and DE
  • AC and DF
  • BC and EF

Corresponding angles are opposite to corresponding sides:

  • ∠C≅∠F
  • ∠A≅∠D
  • ∠B≅∠E

So

  • m∠A = 90° - 62° = 28°

Therefore

  • m∠D = 28°
Answer Link

Otras preguntas

For all you chemistry cats!!! in terms of covalent bonding, what is meant by an unshared (lone) pair of electrons?
What is anxiety? that's it just what is anxiety....?
Kendall used 1/2 of a bag of seed to plant 1/10 of her garden.how many bags will kendall use to plant her garden
Suppose you receive an allowance of $107 and your friend receives an allowance of $83 at the beginning of the month. If you spend $8 a day and your friend spend
Find the measure of the angle. Angles P and Q are complementary. m∠Q = 12° m∠P = 178° 68° 78° 168°
An endangered species of the Congo Basin is the __________. A. African elephant B. mountain gorilla C. wildebeest D. zebra
Simplify 5 − (−1).whats the answer to the equation
Find the area of the sector with a central angle of 120° and a radius of 8 inches. Leave in terms of π
If f(x) = 2x + 3 and g(x) = x2 + 1,find f(g(3))
At an intersection without limit lines, the driver should stop prior to the pedestrian crosswalk. a. true b. false