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:
-7
Step-by-step explanation:
You need the Law of Cosines here and you use it when you have 2 sides and an enclosed angle. The side across from the angle is the one we are looking for. The correct way to express the Law using what we have is the last choice above. Side RT is the unknown, and it is across from the angle that is enclosed between the 2 other sides.
Answer:
The probability that at most 7 favor the new tax is 0.7869
Step-by-step explanation:
Total number of voting resident = 10000
number of voting resident against new sales tax = 4000
therefore probability of choosing a voting resident against new sales tax = 4000/10000 = 0.4
If 15 eligible voters are selected at random and asked their opinion, what is the probability that at most 7 favor the new tax
Using binomial,
number of selected voters(n) =15,
p=0.4
P(x<=0.7) = binomialcdf(15, 0.4, 7)
Using your calculator
P(x<=0.7) = binomialcdf(15, 0.4, 7) = 0.7869
The answer is [ yes; ΔABC ~ ΔFGH by SAS Similarity ]
SAS Similarity states that two triangles have congruent corresponding angles and the corresponding sides have an identical ratio
The angle measure aren't given but the angles look to be the same.
To find the scale factor, divide.
12 / 8 = 1.5
15 / 10 = 1.5
The corresponding sides have an identical ratio.
This proves that option B is correct.
Best of Luck!
