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:
-1 < x
Step-by-step explanation:
-10 < x - 9
+9. +9
-1 < x
To find the answer, all you need to do is divide 48 by 3. This shall get you the answer 16. This means that there are sixteen(16) 3s in 48.
Answer:
f^-1 (x) = √
6x/6 - √
6x/6
Step-by-step explanation:
interchange the variables and solve for y.
sorry its a little hard to read i didnt have all the symbols on my keyboard
Answer:
<h3>-4≤y≤7</h3>
Step-by-step explanation:
Given the inequality expressions
4y - 7 ≤ 3y and 3y≤5y+8
For 4y - 7 ≤ 3y
Collect like terms
4y - 3y ≤ 7
y ≤ 7
For 3y≤5y+8
Collect like terms
3y - 5y ≤ 8
-2y ≤ 8
y ≥ 8/-2
y ≥ -4
Combining both solutions
-4≤y≤7
<em>Hence the range of values of y that satisfies both inequalities is -4≤y≤7</em>