Answer:
Samuel has $336 and Zander has $56
Step-by-step explanation:
Samuel = 6x because he has 6 times Zander
Zander = x
Together they have 392
6x + x = 392
7x = 392
Divide both sides by 7
x = 56
Samuel = 6 x 56 = 336
Zander = 56
336 + 56 = 392
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
This graph shows a proportional relationship. What is the constant of proportionality? Enter your answer as a ratio in simplified form in the box.
a square number has and odd amount of numbers but 5to the power of 9 has an even amount of numbers
5×5×5×5×5×5×5×5×5
Answer: Probability that a student chosen at random likes science given that he or she likes art is 58%
Step-by-step explanation:
Since we have given that
Probability that a student who likes art and science = 21%
Probability that a student who likes art = 36%
According to question,
we need to find the probability that a student chosen at random likes science given that he or she likes art.
So, we will use "Conditional Probability":
P(A) = 0.36
P(S ∩ A) = 0.21

Hence, Probability that a student chosen at random likes science given that he or she likes art is 58%.