Answer: the jar contains 29 dimes and 25 quarters.
Step-by-step explanation:
The worth of a dime is 10 cents. Converting to dollars, it becomes
10/100 = $0.1
The worth of a quarters is 25 cents. Converting to dollars, it becomes
25/100 = $0.25
Let x represent the number of dimes contained in the jar.
Let y represent the number of quarters contained in the jar.
A jar containing only dimes and quarters contains a total of 54 coins.. This means that
x + y = 54
The value of all the coins in the jar is $9.15. This means that
0.1x + 0.25y = 9.15 - - - - - - - - - - - 1
Substituting x = 54 - y into equation 1, it becomes
0.1(54 - y) + 0.25y = 9.15
5.4 - 0.1y + 0.25y = 9.15
- 0.1y + 0.25y = 9.15 - 5.4
0.15y = 3.75
y = 3.75/0.15 = 25
x = 54 - y = 54 - 25
x = 29
The first on is the tenth place
the second one is the tenth place
the third one is the tenth place
the last one is the millionth place
hope i helped :) i might be wrong though
Answer:

Step-by-step explanation:
If AB = 5 , then AE = 5 [Radii of the same circle]
So,
AC = AE + EC
AC = 8+5
AC = 13 units
Now, Using Pythagorean theorem to find the missing side i.e. BD because tangent strikes the circle at 90 degrees making the triangle a right angled triangle

Where c = AC , a = BD and b = AB

169 = BD² + 25
Subtracting 25 to both sides
169 - 25 = BD²
BD² = 144
Taking square root on both sides
BD = 12 units
Step-by-step explanation:
It says add across to the right and add down bottom
Add across


Add down

Answer:
Answer:
quadrilateral 1 and quadrilateral 2 NOT CONGRUENT
quadrilateral 1 and quadrilateral 3 CONGRUENT
quadrilateral 1 and quadrilateral 4 CONGRUENT
quadrilateral 2 and quadrilateral 3 NOT CONGRUENT
quadrilateral 2 and quadrilateral 4 NOT CONGRUENT
quadrilateral 3 and quadrilateral 4 CONGRUENT
Step-by-step explanation:
quadrilateral 1 and quadrilateral 2 NOT CONGRUENT
quadrilateral 1 and quadrilateral 3 CONGRUENT:
rigid motion: reflection
axis of reflection: y=x
quadrilateral 1 and quadrilateral 4 CONGRUENT:
rigid motions: translation and reflection
axis of reflection y=0
quadrilateral 2 and quadrilateral 3 NOT CONGRUENT
quadrilateral 2 and quadrilateral 4 NOT CONGRUENT
quadrilateral 3 and quadrilateral 4 CONGRUENT:
rigid motions: translation and reflection
axis of reflection: x=0