Answer:
33 cents
Step-by-step explanation:
4/12=1/3=0.33=33 cents
Answer:
the third angle is 50 degress
Step-by-step explanation:
the angle sum property states that the sum of all the interior angles of a triangle is 180.
therefore : 30 + 100 + x = 180
x = 180 - 130
x = 50
The other 2 angles of given right angles are 61.93° and 28.072°, if a triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.
Step-by-step explanation:
The given is,
Right angled triangle,
Side lengths are 8, 15, and 17
Step:1
The given triangle is right angle triangle by the converse of Pythagorean theorem, so the trigonometric ratio,
Ref the attachment,
For angle a,
...................................................(1)
Where, Opp - 8
Hyp - 17
From equation (1),
= 0.470588
(0.470588)
a = 28.072°
For angle b,
...................................................(1)
Where, Opp - 15
Hyp - 17
From equation (1),
= 0.882352
(0.882352)
b = 61.93°
Step:2
Check for solution for right angle triangle,
90 ° = Other 2 angles
90 ° = a + b
90 ° = 28.072° + 61.93°
90 ° = 90 °
Result:
The other 2 angles of given right angles are 61.93° and 28.07°, if a triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.
Given:
A figure of a parallelogram.
The vertex angles are
.
To find:
The values of a and b.
Solution:
We know that the pairs of consecutive angles of a parallelogram are supplementary angles. It mean their sum is 180 degrees.
(Supplementary angles)


Subtract 10 from both sides.


Divide both sides by 17.


Now,



And,
(Supplementary angles)



Divide both sides by 2.



Therefore, the value of a is 64 and the value of b is 10.