Answer:
where 1 < a ≤ 9
The EXPONENT USED BY PETER is 7 in all the possible cases.
Step-by-step explanation:
Let us assume the needed number is M.
Also, given:
The needed number is GREATER than 10 Million.
⇒ M > 10 Million
⇒ M > 10,000,000
⇒ M > 
...... (1)
The needed number is SMALLER than 100 Million.
⇒ M < 100 Million
⇒ M < 100,000,000
⇒ M < 
...... (2)
Comparing (1) and (2) we can see that M can have more than 7 zeroes after 1 but LESS than 8 zeroes after 1.
So, the possible values of M can be:
where 1 < a ≤ 9
So, the EXPONENT USED BY PETER is 7 in all the possible cases.
Answer:
JH = 8, GH = 12, and GJ = 10.6
Step-by-step explanation:
According to Midsegment Theorem, a segment that connects the midpoints of two sides of a triangle is half the length of the third side.
GH = ½ DE
JH = ½ DF
GJ = ½ EF
DE is 24, so GH = 12.
JH is half of DF. Since G is the midpoint of DF, DG is also half of DF. So JH = DG = 8.
GJ is half of EF. Since H is the midpoint of EF, HE is also half of EF. So GJ = HE = 10.6.
Answer:
x = 40 in
Step-by-step explanation:
the missing angle in the triangle on the left is
180° - (74 + 51)° = 180° - 125° = 55°
the missing angle in the triangle on the right is
180° - (74 + 55)° = 180° - 129° = 51°
the 2 triangles have 3 pairs of congruent angles and are therefore congruent.
Corresponding sides and angles are then congruent
consider the corresponding sides opposite 74° , that is x and 40 in , so
x = 40 in
