Select the three equations that are correct. 6 × 9 = 54
8 × 4 = 34
42 ÷ 7 = 6
64 ÷ 9 = 7
56 ÷ 7 = 8

6 × 9 = 54

42 ÷ 7 = 6

56 ÷ 7 = 8

Step-by-step explanation:

Given:

6 × 9 = 54

8 × 4 = 34

42 ÷ 7 = 6

64 ÷ 9 = 7

56 ÷ 7 = 8

Now it need to verify,

6 × 9 = 54 this is correct

42 ÷ 7 = 6 This is also correct

56 ÷ 7 = 8 This is correct

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.