In the figure, CD = EF and AB = CE
<u>To prove that AB = DF:</u>
Step 1:
Given CD = EF, so we can substitute EF instead of CD.
CD + DE = EF + DE
by the Substitution Property of Equality.
Here, Option C is the correct answer.
Step 2:
CD + DE = CE and
EF + DE = DF
by Segment Addition.
Here, Option C is the correct answer.
Step 3:
From step 1, CD + DE = EF + DE
From step 2, CE = DF
So, CE = DF by the Transitive Property of Equality.
Here, Option D is the correct answer.
Step 4:
Given AB = CE and CE = DF
⇒ AB = DF
by the Transitive Property of Equality.
Here, Option D is the correct answer.
Hence proved.
Answer:
Step-by-step explanation:
The side opposite the 30 degree angle is always half of the hypotenuse in the 30,60,90 triangle so
h=2(6)
h=12
Answer:
Option C is correct
Step-by-step explanation:
The two triangles are similar if there sides are proportional to each other
So, In Triangle ABC and Triangle DEF
AB/DE=BC/EF=AC/FD
according to definition of similar triangles.
We are given AC = 8
and FD = 4
So, AC/FD = 8/4 = 2/1
or 2:1
So, Option C is correct
Step-by-step explanation:
1.) Firstly, you need to count out how many things there are. 4 app, 5 entrees, 2 desserts. This makes 11 different things
2.) for 11 numbers there can be 9 ways for each number for 1st nine places since 0 can't be the fist figure and next two are reciprocated from 10 numbers. Therefore 10!/2!
3.)So 99 combinations have 10!/2! Permutations hence total ways are 99*10!/2!
Answer:
y = 4x + 9
Step-by-step explanation:
okay so you already know that the tank started with 9L of water making it the y-intercept
so you need to find the slope
41-17/8-2 = 24/6 = 4
so the slope is 4
if you put all of that information together, the equation is going to look like this:
y = 4x + 9