Given:
A quadrilateral inscribed in a circle.
To find:
The value of x and y.
Solution:
If a quadrilateral inscribed in a circle, then it is known as cyclic quadrilateral and the opposite angles of a cyclic quadrilateral are supplementary angles, it means their sum is 180 degrees.
[Supplementary angles]
The value of x is 14 degrees.
[Supplementary angles]
Therefore, the value of x is 14 degrees and the value of y is 38 degrees.
.05 as a decimal and i think 1/2 as a fraction
1. 4.625
2. 0.708
3. 8.75
4. -3.16
Hope it helps~
In Q.2 is it 22/3-11/8 or 2/3-11/8?
In Q.4 is it 41/3-21/6 or 1/3-21/6?
9514 1404 393
Answer:
- same-side interior
- (3x +4) +(2x +11) = 180
- 77°
Step-by-step explanation:
Angles 3 and 5 are on the same side of the transversal, between the parallel lines, so can be called "same-side interior angles". These are also called "consecutive interior angles". As such, they have a sum of 180°, so are also "supplementary angles." We don't know what your pull-down menu options are, but perhaps one of these descriptions is on there.
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Because the angles are supplementary, their sum is 180°. So, the equation ...
(3x +4)° +(2x +11)° = 180°
can be used to solve for x. Likewise, any of the possible simplifications of this can be use:
(3x +4) +(2x +11) = 180 . . . . . divide by degrees
5x +15 = 180 . . . . . . . . . . . collect terms
5x = 165 . . . . . . . . . . . . . subtract 15
x = 33 . . . . . . . . . . . . . . divide by 5
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Once we know that x=33, then the measure of angle 5 is found from its expression:
m∠5 = (2x +11)° = (2·33 +11)°
m∠5 = 77°
As 3 boys got 28 cars so each gets
28/3=quotient 9 remainder 1
