Angles formed by the segment in the triangles ΔWXZ, and ΔXYZ, are equal and the given corresponding sides are proportional.
- The option that best completes the proof showing that ΔWXZ ~ ΔXYZ is; <u>16 over 12 equals 12 over 9</u>
Reasons:
The proof showing that ΔWXZ ~ ΔXYZ is presented as follows;
Segment is perpendicular to segment
∠WZX and ∠XZY are right angles by definition of perpendicular to
∠WZX in ΔWXZ = ∠XZY in ΔXYZ = 90° (definition)
Therefore;
- , which gives,
Given that two sides of ΔWXZ are proportional to two sides of ΔXYZ, and
that the included angles between the two sides, ∠WZX and ∠XZY are
congruent, the two triangles, ΔWXZ and ΔXYZ are similar by Side-Angle-
Side, SAS, similarity postulate.
The option that best completes the proof is therefore;
- which is; <u>16 over 12 equals 12 over 9</u>
Learn more about the SAS similarity postulate here:
brainly.com/question/11923416
Answer:
UX ≈ 4.5
△UVW = 49.5 ft²
Step-by-step explanation:
[] We can assume that UX is the midline of this triangle.
22 ft / 2 = 11 ft
XW and VX = 11 ft
[] Now that we have 2 sides of a right traingle, we can find the third.
a² + 11² = 12²
a² + 121 = 144
a² = 20
a = about 4.5, which is side UX
[] Since we have all three sides of the triangle, we can also solve for the total triangle's area. To solve for the area of a triangle, we do base times height divided by 2
22 * 4.5 = 99
99 / 2 = 49.5 ft²
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Y = -2x +8
y = x-1
y=y
-2x+8 = x-1
-3x = -1 -8
-3x = -9
3x = 9
x = 3
Answer:
ITS FALSE
CAN I PLEASE GET BRAINLIEST IM TRYING TO RANK UP THANKSS <3
Step-by-step explanation: