Question 1 of 10 What else would need to be congruent to show that ABC= AXYZ by SAS?
B
Glen:
AD = XY
BC=YZ
с
Z
O A ECZYZ
B. ZCE Z
C. BELY
O D. AC 22
SUBMIT

C. <B ≅ <Y

Step-by-step explanation:

Two triangles are congruent by the Side-Angle-Side Criterion when two sides and an included angle in a triangle is congruent to two corresponding sides and an included angle in the other triangle.

In the diagram given, we are given the following:

Two sides, AB and BC, in ∆ABC are congruent to two corresponding sides, XY and YZ, in ∆XYZ.

The addition condition that we need to satisfy the SAS Criterion is an included angle in ∆ABC that is congruence to a corresponding included angle in ∆XYZ.

The included angle in ∆ABC is <B

The included angle in ∆XYZ is <Y

Therefore, <B ≅ <Y

What is needed is:

<B ≅ <Y

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step-by-step explanation:

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!