Both problems can be solved similarly since both shapes are Quadrilateral hence the sum of thier interior angels is 360
5.)
(x)+(x)+(4x-26)+(2x+18)=360
8x-8=360
x-1=45
x=46
6.)
(2x)+(x)+(x+10)+(2x-16)=360
6x-6=360
x-1=60
x=61
Answer:
there are 114
Step-by-step explanation:
Ratio of red marbles to black marbles is 19:1. (Data from 3rd sentence)
19+1= 20
20 units= 120 (Data from 1st sentence)
1 unit= 120/20= 6
19 units= 120-6= 114 (Values solved in working above)
Ans: There are 114 red marbles.
Step-by-step explanation:
Let U=universal set
C=students who drink coke
P = students who drink pepsi
Answer: 210
Explanation: To find the least common multiple for the integers 30 and 35, we start by making a factor tree for each of our integers.
So 30 is 10 · 3 and 10 is 5 · 2.
35 is 7 · 5.
Notice that our 5's match up as factors of each of our integers.
When finding the least common multiple, we simply multiply all of our factors together but since the 5's match up,
we only multiply by a 5 once.
So our least common multiple or LCM is
5 · the 2 that doesn't match up · the 3 that
doesn't match up · the 7 that doesn't match up.
So we have 5 · 2 · 3 · 7 or 210.
Work is shown below.