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creativ13 [48]
3 years ago
11

Please help with 3 questions and show all work!!!

Mathematics
1 answer:
sergeinik [125]3 years ago
3 0
Question 1:
Since the triangles are congruent, we know that QS = TV
This means that 
3v + 2 = 7v - 6
Subtract both sides by 2
3v = 7v - 8
Subtract 7v from both sides
-4v = -8
Divide both sides by -4
v = 2
Plug this value back into 3v + 2 and you get 8.
QS = 8
Since the triangles are congruent
QS = 8    AND    TV = 8

Question 2:
So we know that AC = AC because that's a shared side.
It's also given that BC = CD.
In order for two triangles to be congruent by SAS, the angle between the two sides must be congruent.
That means angle C must be congruent to angle C from the other triangle.

Question 3:
We know that AC = AC because it's a shared side.
We also know that angle A from one triangle is equal to angle C from the other.
However, for a triangle to be congruent by SAS, the congruent angle must be between two congruent sides. 
In order for us to prove congruence by SAS, AD must be congruent to BC.

Have an awesome day! :)
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What is 6.84 in word form
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Six point eight four.

(Note, you don't say, "Six point eighty-four" As it doesn't sound correct.

Cheers.
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Pls help asap important assessment.
Alex73 [517]
I think The answer is A
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2 years ago
<img src="https://tex.z-dn.net/?f=if%20a%20%3A%20b%20%3D%202%20%3A%203%20and%20b%20%3A%20c%20%3D%204%20%3A%205%20than%20find%20a
grigory [225]

Answer:

<em>a:b:c=8:12:15</em>

Step-by-step explanation:

<u>Combined Ratio</u>

We are given the ratios:

a:b=2:3

b:c=4:5

The combined ratio a:b:c will include all three variables in one single expression.

Before finding it, we must have a common number for the common variable (b). Since b is 3 in the first ratio and 4 in the second ratio, we must equate both by finding the LCM of 3 and 4=12, thus both ratios will be amplified as follows:

a:b=2:3=(2*4):(3*4)=8:12

b:c=4:5=(4*3):(5*3)=12:15

Now there is a common factor in both ratios, we can combine them removing the common factor:

a:b:c=8:12:15

8 0
2 years ago
PLEASE HELP!! URGENT!! i will mark brainliest if its right!! In the figure below, ∠DEC ≅ ∠DCE, ∠B ≅ ∠F, and DF ≅ BD. Point C is
zvonat [6]

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.

7 0
3 years ago
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