1) Angles IDO and ILO are congruent, and both measure 122 degrees. So, as angles in a quadrilateral add to 360°, angle LOD measures 360-122-122-32=84°
2) As referred to in the first question, angle ODI measures 122°
3) In a kite, there are two pairs of disjoint congruent sides. This means that in this case, ID=IL=21 and LO=OD. As the perimeter is 74, this means LO=(74-21(2))/2=16
4) LI=ID, so ID=21
You have to plug in the values into the equation.
Since a=6, all the a's in the equation would be replaced by 6 and same goes for the b.
^ means exponent btw
= -[2(6)^2 -6- (5(6)^2-3(3)) -4(6)^2 +2(3)]
Calculate/ simplify
= -[2(36)-6 - (5(36) -9)-4(36)+6]
Multiply all the things in parenthesis
= -[72-6-(171)-144+6]
Add/subtract
= -[-243]
Negative times negative becomes positive therefore, the answer becomes 243
Answer:
15.15% probability that both months (different) have less than 31 days.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Also, the order of the months is not important. For example, picking July and August is the same as picking August and July. So the combinations formula is used to solve this problem
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
There are 12 months, of which February, April, June, September and November, that is, 5 of them, have less than 31 months.
Desired outcomes:
Picking 2 months from a set of 5(those with less than 31 days). So
Total outcomes:
Picking 2 months from a set of 12(all the months). So
Probability:
15.15% probability that both months (different) have less than 31 days.
Step-by-step explanation:
Given
Diameter of the circle (d) = 17 in
Circumference of the circle
= π *d
= 17π in
Hope it will help :)
Answer:
Senior citizen tickets = 9
Student tickets = 10
Step-by-step explanation:
We begin by converting the question into simultaneous linear equations;
Senior citizen tickets = a
Student tickets = b
4a + 6b = 96
8a + 13b = 202
to find a,
if 4a +6b = 96
a = 96/4 - 6b/4
a = 24 - 1.5b
We now substitute this into the second equation
8(24 - 1.5b) + 13b = 202
192 - 12b + 13b = 202
b = 202 - 192
b = 10
We now put the value of b in either equation
4a + 6b = 96
4a + 6(10) = 96
4a + 60 = 96
4a = 96 - 60
4a = 36
a = 9
