The missing angle of the given triangle is 59°.
What is vertically opposite angles?
Angles that are vertically opposed to one another are always equal to one another. A vertical angle and the angle to which it is next are also supplementary angles; that is, they sum up to 180 degrees. As an illustration, if two lines connect to form an angle, say X=45°, then the angle's opposite angle is also 45°.
Here consider angle with 31° and 49° triangle is 1. We know that sum of all angles in triangle is add upto 180°. Then,
⇒ 49°+31°+x = 180°
⇒ 80° + x= 180°
⇒x= 180°-80°=100°
Then unknown angle in triangle 1 ia 100°.
Now according to the vertically opposite angle theorem , opposite angles are equal to each other. Then ,
In triangle 2 angle is 100° and 21°. Then missing angle is,
⇒ 100°+21°+missing angle =180°
⇒Missing angle = 180°-100°-21°
⇒Missing angle = 59°
Therefore the answer is 59°.
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Answer:
None of the above, it should be $4760
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 12%/100 = 0.12 per year,
then, solving our equation
I = 3500 × 0.12 × 3 = 1260
I = $ 1,260.00
The simple interest accumulated
on a principal of $ 3,500.00
at a rate of 12% per year
for 3 years is $ 1,260.00
Answer:
1.62533254
Step-by-step explanation:
J because this is a quadratic function which is shaped like a u upward
