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klemol [59]
3 years ago
12

Two of the corresponding angles and the included sides of two triangles are congruent.Which statement must be true regarding the

triangles
Mathematics
1 answer:
lys-0071 [83]3 years ago
6 0

Answer:

1. The two triangles are ASA congruent

2. The two triangles are SAS congruent

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| x - 1 | = 5x + 10<br> Check for extraneous solutions.
Ronch [10]
[x-1]=5x+10

We have two equations:
1) x-1=5x+10

x-1=5x+10
x-5x=10+1
-4x=11
x=-11/4

2) x-1=-(5x+10)

x-1=-(5x+10)
x-1=-5x-10
x+5x=-10+1
6x=-9
x=-9/6=-3/2

we have two  possible solutions:
solution₁;       x=-11/4
solution₂:       x=-3/2

we check it out:
1) x=-11/4
[x-1]=5x+10
[-11/4  - 1]=5(-11/4)+10
[(-11-4)/4]=-55/4  + 10
[-15/4]=(-55+40) /4
15/4≠-15/4   This solution don´t work.

2) x=-3/2
[x-1]=5x+10
[-3/2  - 1]=5(-3/2)+10
[(-3-2)/2]=-15/2  + 10
[-5/2]=(-15+20)/2
5/2=5/2; this solution works.

Therefore:

Answer: x=-3/2.
8 0
3 years ago
Read 2 more answers
In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that
solniwko [45]

The probability that a student who does not have a dog has a cat is 7/10.

<h3>What is the probability?</h3>

Probability determines the chances that a random event would happen. The odds that the random event would happen lies between 0 and 1.

The probability that a student who does not have a dog has a cat = number of students that do not have a dog but has a cat / total number of students that do not own a dog

=  7/10.

To learn more about probability, please check: brainly.com/question/13234031

#SPJ1

6 0
2 years ago
Which equation does the model below represent?
qwelly [4]

Answer:

  A. 1.4 / 0.2 = 7

Step-by-step explanation:

Choices A and B are the only true mathematical statements. Of those, choice A seems to best match the model, where each small square represents 0.01 units.

5 0
3 years ago
Plzzz helppp will mark brainlest stpps plzz if possible
VMariaS [17]

Answer:

c.

Step-by-step explanation:

Law of sines

\frac{Sin A}{a} = \frac{Sin B}{b}

A and B are angles.

a and b are sides opposite corresponding angles.

8 0
3 years ago
40 students where has their favorite shoe color <br> how many chose blue?
balandron [24]

Answer:

8 students

Step-by-step explanation:

There are 20 boxes and there are a total of 40 students interviewed. So, each box is worth 2 students. Since blue has 4 boxes, 4*2 = 8 students chose blue as their favorite shoe color.

Please mark as Brainliest.

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3 0
3 years ago
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