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Sphinxa [80]
3 years ago
14

Determine if the two triangles are congruent. If they are state how you know.

Mathematics
2 answers:
riadik2000 [5.3K]3 years ago
4 0

Answer:

#3 is congruent by SAS; #4 is congruent by SSS; #5 is congruent by AAS; #6 is congruent by ASA

Step-by-step explanation:

For #3, there are sides marked in each so we know we have 2 congruent sides, but the angle where the triangles meet are vertical angles.  So that congruency statement is SAS

For #4, there are again two sides marked in each triangle giving us 2 congruent sides, but since the two triangles share that one side, that gives us the third side for SSS

For #5, we have two angles marked congruent between the two triangles and they also share a side, so AAS is the congruency statement for that one

For #6, again 2 congruent angles and a shared side between, so ASA on that one.

You're in geometry now, yes?

Elanso [62]3 years ago
3 0

Answer:

3,4,5 are congruent angles

Step-by-step explanation:

Congruent Angles have the same angle (in degrees or radians). That is all. They don't have to point in the same direction. They don't have to be on similar sized lines.

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Complete the solution of the equation. Find the value of y when x equals -3. 2x-5y =-21
vesna_86 [32]
The answer is y=3 ....

5 0
3 years ago
Find the x-intercept of the line: 2x + 4y = 8<br> (2,4)<br> (0,2)<br> (4,0)<br> (4,2)
NeTakaya

Answer:

(4,0)

Step-by-step explanation:

hope this helps

3 0
3 years ago
Read 2 more answers
Help me graph this i with a step by step guide if possible ​
VladimirAG [237]

Answer:

n≥9

Step-by-step explanation:

n-7>=2

change the equation

n≥2+7

add 7 to 7 and two the seven gets canceled out and you are left with n≥9

7 0
2 years ago
Using the quadratic formula to solve x2 = 5 - X, what are the values of X?
sdas [7]

Answer:

The answer is

<h3>x =  \frac{ - 1 +  \sqrt{21} }{2}  \:  \:  \: or \:  \:  \: x =  \frac{ - 1 -  \sqrt{21} }{2}</h3>

Step-by-step explanation:

x² + x - 5 = 0

Using the quadratic formula

That's

<h3>x =  \frac{  - b\pm \sqrt{ {b}^{2} - 4ac } }{2a}</h3>

From the question

a = 1 , b = 1 , c = - 5

Substitute the values into the above formula and solve

We have

<h3>x =  \frac{ - 1\pm \sqrt{ {1}^{2} - 4(1)( - 5) } }{2(1)}  \\ x =  \frac{ - 1\pm \sqrt{1  + 20 } }{2}  \\ x =   \frac{ - 1\pm \sqrt{21} }{2}</h3>

We have the final answer as

<h3>x =  \frac{ - 1 +  \sqrt{21} }{2}  \:  \:  \: or \:  \:  \: x =  \frac{ - 1 -  \sqrt{21} }{2}</h3>

Hope this helps you

3 0
3 years ago
Hazel wants to mix 12 pounds of her special blend coffee that will cost her $12.50 per pound. She uses Columbian and Sumatra cof
k0ka [10]
Let x be the amount of Columbian coffee in the mixture and y the amount of Sumatra coffee in the mixture, then
x + y = 1 . . . (1)
9.25x + 14.25y = 12.50 . . . (2)

(1) x 9.25 => 9.25x + 9.25y = 9.25 . . . (3)

(2) - (3) => 5y = 3.25 => y = 3.25/5 = 0.65

From (1), x + 0.65 = 1 => x = 1 - 0.65 = 0.35

1 pound of the mixture contains 0.35 Columbian coffee and 0.65 Sumatra coffee
Therefore, 12 pounds of the mixture will contain 0.35 x 12 = 4.2 pounds of Columbian coffee and 0.65 x 12 = 7.8 pounds of Sumatra coffee
3 0
3 years ago
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