Answer:
Yes, A KLP can be reflected across the line containing KP and then translated so that Pis mapped to M.
Step-by-step explanation:
The figure shows two congruent by HA theorem (they have congruent hypotenuses and a pair of congruent angles adjacent to the hypotenuses) triangles KLP and QNM.
A rigid transformation is a transformation which preserves lengths. Reflection, rotation and translation are rigit transformations.
If you reflect triangle KLP across the leg KP and translate it up so that point P coincides with point M , then the image of triangle KLP after these transformations will be triangle QNM.
We can use the Pythagorean Trigonometric Identity which says:

Since we need to find sin(t), we have to solve for it:

Let's plug in the given cos(t) value:

And solve sin(t):

Simplify further:

And it all simplifies down to:

Since it's in the 4th quadrant, the sin(t) value is going to be negative. So, your final answer is:

Hope this helps!
Answer:

Step-by-step explanation:
90 cm in metres is = 0.09 m
Writing it as a fraction of 2.4 m
=> 
<u><em>In simplest form</em></u>
=> 
To answer this question, you need to makes the unit of the smartphone screen same. In this case, phone A is using decimal and phone B is using a fraction. You can use which was easier.
Let's try to use decimal. Then you need to convert phone B fraction width into decimal width. The calculation would be: 5cm + 1/3cm= 5 cm + 0.333cm= 5.333cm
From here it clear that phone B has a wider screen than phone A.
Answer:
C
Step-by-step explanation:
I think that the planets will keep orbiting the sun but i think the planets might cross paths with the new star.