Answer:
22°
Step-by-step explanation:
as we know from the angle sum property of the triangle- the sum of all angles of a triangle is 180°
So now in (d)
79°+79°+x=180°
158°+x=180°
x=180°-158° (transversal property)
x=22°
Hope it helps
Answer:
C. 1365
Step-by-step explanation:
The expression nCr can be written with the simple equation:
n! / ((n-r)! * r!)
So to evaluate 15C4:
15! / ((15-4)! * 4!)
= 1365
So 15C4 = 1365
Cheers.
Answer:
(a) 3,874 students.
(b) 46,488 students.
Step-by-step explanation:
We have been given the each grade level at Hooperville Schools has 298 students.
(a) To find the number of students that attend Hooperville Schools, we will multiply the number of grades by 298.
Therefore, 3,874 students attend Hooperville Schools.
(b) We have been given that nearby district, Willington, is much larger. They have 12 times as many students.
To find the number of students that attend schools in Willington, we will multiply number of students at Hooperville schools by 12.
Therefore, 46,488 students attend schools in Willington.
So 1 nickle=5 cents
1 quarter=25 sents
q=number of quarters
n=number of nickles so
total is
q+n=20
5n+25q=400 (since 100 cents=1 dollar and 4 dollares=400 cents)
SO THE 2 EQUATIONS WOULD BE
n+q=20
5n+25q=400
so q+n=20
subtract q from both sides
n=20-q
subsitute 20-q for n in the second equation
5(20-q)+25q=400
distribute
100-5q+25q=400
add like terms
100+20q=400
subtract 100 from both sides
20q=300
divide both sides by 20
q=15
thhere are 15 quarters
subsitute 15 for q in first equation
15+n=20
subtract 15 from both sides
n=5
5 nickles
15 quarters
