Answer:
RS/VU=ST/UT and ∠S≅∠U
Step-by-step explanation:
we know that
The <u>Side-Angle-Side Similarity Theorem </u>states that: If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar
In this problem the included angle is
∠S≅∠U
therefore
side RS must be proportional to side VU and side ST must be proportional to side UT
so
RS/VU=ST/UT
<em>Verify</em>
substitute the given values
12/6=16/8
2=2 -----> is true
therefore
The two sides are proportional
Answer:
An arithmetic sequence is a sequence with the difference or pattern between two consecutive terms constant.
A geometric sequence is a sequence with a ratio between two consecutive terms constant.
Answer:
11/50
Step-by-step explanation:
There are 22 3's, and 100 tries, so the experimental probability is 22/100 or 11/50.
162 m^2
you can make a triangle in the corner with legs length s/2 and the angles are 45 degrees. in a 45 45 90 triangle, the legs are h/sqrt(2) where h is the hypotenuse. this means that s/2=9/2 sqrt(2), s=9 sqrt(2)
and s^2=162
Cremini:
$11.25 for 2/3 lb
2/3 lb = $11.25
1 lb = 11.25 ÷ 2/3 = $16.88 (nearest cent)
Chanterelle:
$7.99 for 1/2 lb
1/2 lb = $7.99
1 lb = $7.99 x 2 = $15.98
Answer: Chanterelle costs less. It costs $0.90 less than Cremini.