X = number of dimes
x + 2 = number of nickels
3(x + 2) = number of pennies
10x + 5(x + 2) + 3(x + 2) = 52
10x + 5x + 10 + 3x + 6 = 52
18x = 36
x = 2
x = 2 (number of dimes)
x + 2 = 4 (number of nickels)
3(x + 2) = 12 (number of pennies)
Check:
2(10) = 20 cents in dimes
4(5) = 20 cents in nickels
12(1) = 12 cents in pennies
Total = 52 cents
The measures of the angles of the isosceles triangle are 55, 55 and 70.
Explanation:
An isosceles triangle has two congruent base angles and a vertex angle.
Let
b
=the measure of one of the base angles.
Let
v
=
the measure of the the vertex angle.
The vertex angle is 40 degrees less than the sum of the base angles.
v
=
b
+
b
−
40
=
2
b
−
40
The sum of the measures of the angles of a triangle is 180.
b
+
b
+
v
=
180
Substitute
2
b
−
40
for
v
.
b
+
b
+
2
b
−
40
=
180
4
b
−
40
=
180
+40+40
Combine like terms.
Add 40 to both sides.
4b=220
Divide by 4
4
b/4
=
220
/4
b
=
55
v
=
2
b
−
40
v
=
2
(
55
)
−
40
=
70
Answer:
The expression is not factorable with rational numbers...
Step-by-step explanation:
Answer: the number 1 or any number (such as 3, 12, 432) obtained by adding 1 to it one or more times: a positive integer. 2: any of the positive integers together with 0: a nonnegative integer.
Step-by-step explanation:
the number 1 or any number (such as 3, 12, 432) is obtained by adding 1 to it one or more times: a positive integer. 2: any of the positive integers together with 0: a nonnegative integer
