Answer:
x = 9 (see explanation)
Step-by-step explanation:
Alternate exterior angles are two angles that are congruent to each other:
1. Set the two angles equal to each other: 7x-4 = 6x+5
2. Combine like terms and solve for x: x = 9
Hope this helps!
Answer:
statement D is correct.
<em>Statement: ∠7 ≅ ∠6 and ∠8 ≅ ∠5</em>
<em>Reason: Vertical Angles Theorem</em>
Step-by-step explanation:
Given that
3 ≅ ∠7 and ∠4 ≅ ∠8
from statement 2 because they are corresponding angles.
∠8 ≅ ∠5
because its vertical angles
The vertical angles theorem is about angles that are opposite each other.
So,
∠4 ≅ ∠8 and ∠8 ≅ ∠5
which means
<h3> ∠4 ≅ ∠5 </h3>
Hence,
∠3 = ∠7
∠4 = ∠5
they are known as interior alternative angles.
Volume of the pentagonal prism =
Area of the pentagon• height of the prism
Answer:
P43=4!(4–3)!=241=24
Step-by-step explanation:
There are four choices you can make for the lead reindeer. For each possible choice, there are then three remaining you can choose to fly second, making 4×3=12 choices for the lead pair. For each possible choice there are two remaining reindeer to take up the back position, making 12×2=24 choices for the team of three.
This type of problem is called a permutation problem, and we write Pnr for the number of ways of choosing r items from n possibilities when the order of the items matters. In this case we are choosing 3 reindeer from 4 possibilities, and the order they appear in the flying line does matter, so the answer we want is P43. The general formula is Pnr=n!(n−r)!. For the answer we are looking for we therefore have:
P43=4!(4–3)!=241=24
It would be b. the first ratio is
1kL
----
1000
so you would match up the kL and not know how many regular liters there are.
8kL
-----
x
