Hi!
See my image to see how I solved this.
The answer is b. the quotient has a remainder of 4
Hope this helps! :)
-Peredhel
<h2>
Rate at which area is increasing is 1.08 m²/s.</h2>
Step-by-step explanation:
Area of triangle is with side a and b and angle C between them is given by
A = 0.5 ab SinC
Here we need to find how area changes with a and b fixed and C is changing,
We have
a = 8 m
b = 9 m
Substituting
Rate at which area is increasing is 1.08 m²/s.
Answer:
52
Step-by-step explanation:
14+13= 27+2=29+23=52
<h3>
Answer: Choice B</h3>
Use a rigid transformation to prove that angle NPO is congruent to angle NLM
=====================================================
Explanation:
The AA stands for "angle angle". So we need two pairs of angles to prove the triangles to be similar. The first pair of angles is the vertical angles ONP and MNL, which are congruent. Any pair of vertical angles are always congruent.
The second pair of angles could either be
- angle NOP = angle NML
- angle NPO = angle NLM
so we have a choice on which to pick. The pairing angle NOP = angle NML is not listed in the answer choices, but angle NPO = angle NLM is listed as choice B.
Saying angle NLM = angle LMN is not useful because those two angles are part of the same triangle. The two angles must be in separate triangles to be able to tie the triangles together.
We would use a rigid transformation to have angle NPO move to angle NLM, or vice versa through the use of a rotation and a translation.
270 = 27 * 10
= 3*9 * 5*2
= 3 * 3*3 * 5*2
in order from smallest to largest
2*3*3*3 *5
