Answer:
m∠DRM = 45°
Step-by-step explanation:
∵ PSTR is a parallelogram
∴ TS // RP ⇒ opposite sides
∴ m∠T + m∠R = 180° ⇒ (1) (interior supplementary angles)
∵ m∠T : m∠R = 1 : 3
∴ m∠R = 3 m∠T ⇒ (2)
- Substitute (2) in (1)
∴ m∠T + 3 m∠T = 180
∴ 4 m∠T = 180
∴ m∠T = 180 ÷ 4 = 45°
∴ m∠R = 3 × 45 = 135°
∵ m∠R = m∠S ⇒ opposite angles in a parallelogram
∴ m∠S = 135°
∵ RD ⊥ PS
∴ m∠RDS = 90°
∵ RM ⊥ ST
∴ m∠RMS = 90°
- In quadrilateral RMSD
∵ m∠S = 135°
∵ m∠RDS = 90°
∵ m∠RMS = 90°
∵ The sum of measure of the angles of RMSD = 360°
∴ m∠DRM = 360 - ( 135 + 90 + 90) = 45°
Answer:
The answer is 40.1%
Step-by-step explanation:
I just took the test
<u><em>Answer:</em></u>
Yung bought 46 pieces of bubble gum for $4.6
<u><em>Explanation:</em></u>
We are given that each piece of gum cost $0.1 and that he spent $4.6 on gums
<u>To get the number of gums he bought, we will simply use cross multiplication as follows:</u>
1 piece .........................> 0.1
x pieces ......................> 4.6
<u>Therefore:</u>
pieces of gum
Hope this helps :)
The number of silver and bronze medals that France won are 9 silver and bronze medals.
Since there are 60 medals awarded, and there were 20 each of bronze, silver, and gold. This means that there are 20 gold, 20 bronze and 20 silver.
Since U.S. swim team won 13 gold medals and Spain won 5gold medals, then the gold won by France will be:
= 20 - (13 + 5)
= 20 - 18
= 2 gold medals
France won 2 gold medals.
Since France won one-third of all the medals, the number of medals won by France will be:
= 1/3 × 60
= 20 medals
Since France won 2 golds medals, then the number of silver and bronze will be:
= 20 - 2
= 18 silver and bronze medals.
Since France won equal number of silver and bronze medals. This will be:
= 18/2
= 9 silver and bronze medals.
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Answer: C
Step-by-step explanation:
