Answer:
From the graph attached, we know that
by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like
and
.
We also know that, by definition of linear pair postulate,
and
are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.
They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that
and
together are 180°, because they are on a straight angle. That is, 
If we substitute
for
, we have
, which means that
and
are also supplementary by definition.
minimum value: 1
lower quartile: 3
median of the data: 6
upper quartile: 8
maximum value: 14
Sorry for the late answer, i hope this will help you in the future and everyone else who reads this.
First let's make the denominators of the fractions equal.
To do this, we have to find a number which both 5 and 7 divide into.
The smallest number that does this is 35.
2 --> Multiply the numerator by 7
--
5 --> Multiply the denominator by 7 to get 35
= 14/35
1 --> Multiply the numerator by 5
--
7 --> Multiply the denominator by 5 to get 35
= 5/35
Joe has eaten 14/35 and James has eaten 5/35.
14 / 5 = 2.8
<u>Joe has eaten 2.8 (or 2 4/5) times more pizza than James.</u>
Answer:
Left 3, down 2
Step-by-step explanation:
(6,4) --> (3,2)
-3, -2
Left 3, down 2
Substitute the x with 5
-(5)2 + 4(5) - 10 = 0