Answer:
B
Step-by-step explanation:
Reflection is a transformation that preserves lengths.
Triangle XYZ, with side lengths XY = 7 in, YZ = 5 in, XZ = 4 in, is reflected across the x-axis to result in △X'Y'Z'.
This means that corresponding sides have the same lengths:
- XY = X'Y' = 7 in;
- XZ = X'Z' = 4 in;
- YZ = Y'Z' = 5 in.
Find the perimeters of both triangles:

Hence, only option B is true.
Answer:
WX = 8 mm
Step-by-step explanation:
To be able to solve for WX, we need to first find the size of angle
.
We use the law of sines in the blue triangle to do such:

Now we can use this value in the larger right angle triangle where WX is the opposite side to angle
, and the 20 mm side is the hypotenuse:

which rounded to the nearest integer gives
WX = 8 mm
Answer:
35%
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
y < 2x +4
6 < 2·5 +4
6 < 14
Answer:
x ≈ 15.0 ft
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Trigonometry</u>
- tan∅ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Define</u>
Angle = 28°
Opposite leg of angle = 8 ft
Adjacent leg of angle = x ft
<u>Step 2: Find </u><em><u>x</u></em>
- Substitute: tan28° = 8/x
- Multiply <em>x </em>on both sides: xtan28° = 8
- Divide tan28° on both sides: x = 8/tan28°
- Evaluate: x = 15.0458
- Round: x ≈ 15.0 ft