Question

HELP PLEASE!!! :( ONLY TWO QUESTIONS

1.)The ratio of the angle measures in a quadrilateral is 4: 5 :8 :7 . What is the measure of each angle? ** Must show ALL work and steps for credit!

2.)JKLM~QRST with a scale factor of 4:7 MJ. = 58M. What is the value of TQ ?

Answer 1

Answer:

  1)  60°, 75°, 120°, 105°

  2)  101.5 m

Step-by-step explanation:

1) The sum of ratio units is 4+5+8+7 = 24, which corresponds to the sum of angles, 360°. Then each ratio unit must stand for 360°/24 = 15°. Multiplying the given ratio units by 15° gives the angle measures:

• 4×15° = 60°
• 5×15° = 75°
• 8×15° = 120°
• 7×15° = 105°

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2) The similarity statement and the scale factor mean ...

  MJ : TQ = 4 : 7

  7·MJ = 4·TQ . . . . . . . . . "cross multiply"

  TQ = 7/4×MJ = 7/4(58 m) . . . . . divide by 4, substitute the value of MJ

  TQ = 101.5 m