C
work:
75 is equal to 2x+15
75-15 = 60
60/2 = 30
x=30
Answer with Step-by-step explanation:
1.In triangle ABC
AB=BC
Let AB=BC=x and AC=y
Perimeter of triangle ABC=25
...(1)
...(2)
Adding equation (1) and (2)
Substitute x=9.67 in equation (2)
2.
By using triangle angle sum property
Substitute the values then we get
Substitute the value
(Side ST is opposite to angle R, Side RT is opposite to angle S
(side RS is opposite to angle T)
When a>b
Then , opposite side of a> opposite side of b
RS<RT<ST
3.
By using triangle angle sum property
Substitute the values then we get
Substitute the value
RT>RS
RS>ST
ST<RS<RT
Hey There!
To find the blank you have to multiply
*
=
ANSWER:
The probability is 1/43680
STEP-BY-STEP EXPLANATION:
We have the following:
0. The probability that Morgan is chosen first = 1/16. Now there are 15 students left after this.
,
1. The probability that Harmony is chosen second = 1/15. Now there are 14 students left after this.
,
2. The probability that Kenny is chosen third = 1/14. Now there are 13 students left after this.
,
3. The probability that Ben is chosen fourth = 1/13.
Therefore, the required probability is:
The [# of sides (n) - 2] × 180° is the formula for the sum of interior angles (IAs) in a regular polygon. And so that sum of all IAs ÷ IA = n
Each central angle is opposite of one side.
And all of the central angles add up to 360°, therefore 35×n = 360
35n/35 = 360/35 = 10.29, but we need to verify: each 35° central angle forms an isosceles triangle with a side of the polygon, and each opposite angle (x) is 1/2 of an interior angle. All 3 angles of a triangle sum to 180°, and 2 angles (x) are equal in an isosceles, so
x + x + 35 = 180
2x + 35 = 180
2x = 145
2x/2 = 145/2
x = 72.5
And each x is 1/2 of an interior angle (IA), therefore 2x = IS
IA = 2 (72.5) = 145
(n - 2) × 180° = IA × n
(n - 2) × 180° = 145n
(n - 2) × 180°÷180 = 145n/180
n - 2 = 29n/36
36n/36 - 72-36 = 29n/36
(36n/36 - 72-36)×36 = (29n/36)×36
36n - 72 = 29n
36n - 29n = 72
7n = 72
7n/7 = 72/7
n = 10.29
Are you sure the central angle was 35, not 36°?? Because we don't get a whole number as the # of sides. How can we have 0.29 of a side?