It is given that the triangles ITH and APG are congruent.
When the two triangles are congruent, then the corresponding angles and sides are congruent to each other.
By being congruent, the corresponding angles which are congruent are:
Therefore, 
SO, Option 2 is the correct answer.
Answer:
11,200
Step-by-step explanation:
Given that the lcm of a and b is 40 then a and b are factors of 40. All the multiples of 40 as sets are 1 and 40, 2 and 20, 4 and 10, 5 and 8. Of all these, only 5 and 8 would give a lcm of 40.
Let a = 5 and b = 8 as such,
7 a^2 = 7 * 5^2 = 175
7b^2 = 7 * 8^2 = 448
Then the lcm of 7 a^2 and 7b^2
= 11,200
Answer:
m = 8
Step-by-step explanation:
5(m+5)=7m+9 (distribute & evaluate parenthesis)
5(m)+5(5)=7m+9
5m + 25 = 7m + 9 (move all m-terms to one side and constants to the other)
5m - 7m = 9 - 25 (evaluate both sides)
-2m = -16 (divide both sides by -2)
m = (-16) / ( -2) = 8
Answer:
12
Step-by-step explanation:
12×4=48
48 rounded to the nearest 10 is 50
Simplify
1
4
(
4
+
x
)
4
1
(4+x) to
4
+
x
4
4
4+x
.
4
+
x
4
=
4
3
4
4+x
=
3
4
2 Simplify
4
+
x
4
4
4+x
to
1
+
x
4
1+
4
x
.
1
+
x
4
=
4
3
1+
4
x
=
3
4
3 Subtract
1
1 from both sides.
x
4
=
4
3
−
1
4
x
=
3
4
−1
4 Simplify
4
3
−
1
3
4
−1 to
1
3
3
1
.
x
4
=
1
3
4
x
=
3
1
5 Multiply both sides by
4
4.
x
=
1
3
×
4
x=
3
1
×4
6 Simplify
1
3
×
4
3
1
×4 to
4
3
3
4
.
x
=
4
3
x=
3
4
