Given that these triangle are right triangles, we use the Pythagorean theorem to calculate the missing lengths which is c and it is the hypotenuse. We calculate as follows:
<span>a = 7.5 cm, b = 10.6 cm
c</span>² = a² + b²
c² = 7.5² + 10.6²
c = 12.98<span>
a = 13 cm, b = 7.5 cm
</span>c² = a² + b²
c² = 13² + 7.5²
c = 15.00<span>
a = 7.5 cm, b = 13 cm
</span>c² = a² + b²
c² = 7.5² + 13²
c = 15.00<span>
a = 5 cm, b = 13 cm
</span>c² = a² + b²
c² = 5² + 13²
c = 14
8y - 5 < 3
8y < 5+3
8y<8
y<1
3p + 2 > -10
3p>-10-2
3p> -12
p>-4
-2 > m/6 -7
- m/6>+2-7
Multiply each member by 6
-m >-42+12
-m>-30
m<30
<h2>
Answer:</h2>
The final image is:
<h2>
Explanation:</h2>
Here we have two rules. The first one is a reflection across the y-axis and the second one is a translation. Let's apply these rules in two steps:
First rule:
Reflection across the y-axis:
By following this rule, you must multiply the x-coordinate of the point by -1. So here we reflect point W. Then:
Second rule:
This transformation shift each point 4 units to the right and 2 units up. Here we shift point W' that was previously transformed. Then: