Answer: 
Option D
Step-by-step explanation:
In this question we use properties of parallelogram and angle sum property of a triangle.
In parallelogram ABCD
As, we know that opposite angles of parallelogram are equal
Therefore,
Now, in triangle ADC
We know that sum of all the angles of a triangle is 
Subtracting 97 from both sides we get
Measure of
Answer:
x+0.05x=3.15 which has one solution
Step-by-step explanation:
Complete question below:
Joshua sells a pack of pens for 3.15 which is 5 percent more than he pays for them. which equation will help find x, the amount he pays for a pack of pens? how many solutions will this equation have? x+0.05x=3.15, which has infinitely many solutions x+0.5x=3.15, which has one solution x+0.05×=3.15 which has one solution 0.05×=3.15, which has no solution
Let
x= the amount Joshua pays for a pack of pen
5% of x more than he paid for them
=0.05x more
Buying price=0.05x + x
Selling price=3.15
Equate buying and selling price
0.05x + x = 3.15
1.05x=3.15
Divide both sides by 1.05
1.05x / 1.05 = 3.15/1.05
x=3
The equation is 0.05x+x=3.15
The answer is:
x+0.05x=3.15 which has one solution
Answer:
attached below
Step-by-step explanation:
Attached below are the Venn diagrams
A : 48 < X < 52 cm
B : 9 < Y < 11 cm
a) A
b) A ∩ B
c) A' ∪ B
d) A ∪ B
e) for events to be mutually exclusive it means that both events can not occur simultaneously i.e. A ∩ B = 0
the process would not be successful hence the process would not produce parts with X = 50 cm and Y = 10 cm
