Answer:
A
Step-by-step explanation:
A is equal to 5d-5
I just went through all eh choices
It can’t be b or c becuase when distributed, it automatically is -5d+25 or vice versa with a different sign so their out
D is impossible becuase you can’t jsut flip a subtraction problem
And A is possible because adding a negative basically means subtracting so if flipped The signs have to change
Answer:
x=9
Step-by-step explanation:
Since you don't have that much information, you have to assume line HE is congruent to line GF, so now you have an equation that looks like this: 23=x+14. Now you subtract 14 from both sides giving you 9=x, and since you cannot simplify even further, that is your answer
Answer:
See below.
Step-by-step explanation:
This is how you prove it.
<B and <F are given as congruent.
This is 1 pair of congruent angles for triangles ABC and GFE.
<DEC and <DCE are given as congruent.
Using vertical angles and substitution of transitivity of congruence of angles, show that angles ACB and GEF are congruent.
This is 1 pair of congruent angles for triangles ABC and GFE.
Now you need another side to do either AAS or ASA.
Look at triangle DCE. Using the fact that angles DEC and DCE are congruent, opposite sides are congruent, so segments DC and DE are congruent. You are told segments DF and BD are congruent. Using segment addition postulate and substitution, show that segments CB and EF are congruent.
Now you have 1 pair of included sides congruent ABC and GFE.
Now using ASA, you prove triangles ABC and GFE congruent.
Answer:
Options A, B and C are CORRECT PROPORTIONS
Step-by-step explanation:
Option A
3:5 = 6:10
The LHS must equal the RHS
3:5 is in it's lowest term.
6/10 will be in it's lowest term by dividing the numerator and denominator by 2.
6/10 = 3/5
Option B
3/6 and 5/10.
Diving 3/6 fractions by 3
= 1/2
Dividing 5/10 fraction by 5
= 1/2
Option C
Dividing 6/3 by 3 = 2
Dividing 10/5 by 5 = 2
Thats how you work through equivalent proportional fractions