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Zolol [24]
3 years ago
6

A student was given the following diagram and asked to prove that AX = XC. What would be the reason for the third step in the pr

oof? - Please help!

Mathematics
2 answers:
Aleksandr-060686 [28]3 years ago
8 0

Answer:

B. SAS triangle congruence

Step-by-step explanation:

Statement 1 said that a side and an angle were congruent in both triangles.

Statment 2 said that they share a line, thus making them equal.

So, a Side Angle Side(SAS)

Vlada [557]3 years ago
3 0
B. SAS Triangle congruence
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∠A=6x−18 ∘ start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 6, x, minus, 18, degrees, end color #1
denpristay [2]

Using the properties of alternate angles, the value of x = 8 and ∠ A = 30

<h3>What are Alternate Angles?</h3>

A transversal that crosses two parallel lines produces alternate exterior angles. They form two pairs (four total angles) of alternate outside angles since they are situated "outside" the two parallel lines but on different sides of the transversal.

For the given question,

∠A=6x−18

∠B=14x+38

As, both parallel lines are intersected by a transversal,

the value of angle ∠A and ∠180 - B is same as they are alternate angles,

⇒ 6x−18 = 180 - 14x - 38

⇒ 6x + 14x = 142 + 18

⇒ 20x = 160

⇒ x = 8

∠A = 6x−18

⇒ ∠ A = 30

To learn more abut alternate angles from given link

brainly.com/question/26167358

#SPJ13

Correct question -

7 0
1 year ago
Jeremy wants to determine the number of solutions for the equation below without actually solving the equation.
Degger [83]

Answer:

  1 solution

Step-by-step explanation:

Jeremy can simplify the equation enough to determine if the x-coefficient on one side of the equation is the same or different from the x-coefficient on the other side. Here, that simplification is ...

  -3x -3 +3x = -3x +3 +3

We see that the x-coefficient on the left is 0; on the right, it is -3. These values are different, so there is one solution.

__

In the attached, the left-side expression is called y1; the right-side expression is called y2. The two expressions are equal where the lines they represent intersect. That point of intersection is x=3. (For that value of x, both sides of the equation have a value of -3.)

__

<em>Additional comment</em>

If the equation's x-coefficients were the same, we'd have to look at the constants. If they're the same, there are an infinite number of solutions. If they are different, there are no solutions.

8 0
3 years ago
Read 2 more answers
A large room has the dimensions shown below.A partition is to be installed so that 2 classes can use it.The area of the smaller
Artemon [7]

It would be D because you need to multiply 38 and 50. But x is the length of one classroom, and because we don't know it, you would get 38(50-x).

Good luck!!

8 0
3 years ago
Gwendolyn is asked to solve the equation -4(x-3) = 20. She shows the work below and states that the solution is x=-8
bazaltina [42]

Answer:

x = -2

Step-by-step explanation:

-4(x-3) = 20

-4x + 12 = 20

^ Here, Glendon added 12 to 20 instead of subtracting. Her equation was not balanced.

-4x = 8

x = -2

8 0
4 years ago
In an on-line survey, a school learns that 77 of 100 parents prefer to receive the newsletter electronically. How many paper new
Kay [80]
77% of the school want electronic newsletters, so 23% of the school want physical paper newsletters.

77% of 650 is 500.5.
23% of 650 is 149.5.

650/100 = 6.5
6.5x77 = 500.5
6.5x23 = 149.5

It's best to round that figure up to 150 as there will not be a parent who only needs half of the newsletter.
5 0
3 years ago
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