Answer:
11) x = 11
12) x = 11
Step-by-step explanation:
11) Δ RQP and Δ RLK are similar.
Hence, the ratios of the corresponding sides of the two triangles will be constant.
So, 
⇒ 
⇒ 
⇒ x - 4 = 7
⇒ x = 11 (Answer)
12) Δ QRS and Δ QDC are similar.
So, 
⇒ 
⇒ 2x - 14 = 8
⇒ 2x = 22
⇒ x = 11 (Answer)
Answer:
64/200 times the spinner will land on vowel
Step-by-step explanation:
On the table, the chart says 10 times for A and 6 times for E. This means that the experimental probability for rolling a vowel in a trial of 50 rolls is 16/50.
The next step is create equal ratios. 16/50 = x/200. 50 times <u>4 </u> is 200 so 16 times <u>4 </u> is 64.
Answer:
Option B is correct.
The expression which is equivalent to
is; 
Explanation:
Given the equation:
for all values of n.
The quadratic equation in this form; 
First find two numbers that multiply to give ac and add to give b.
From the given equation;
a =1 , b = 26 and c =88
then,
the two number that multiply to give ac =88 is, 22 or 4
and they add up to give b=26 (i.e 22+4)
Now, rewrite the middle term i.e 26n with 22n and 4n , we have

Now, factor the first two terms and last two terms,

we see that
is common to both terms so, we have;

Therefore, the expression
is equivalent to
Check:
(n+4)(n+22) =
=
[ True]
Answer:
3.61 miles
Step-by-step explanation:
Given that:
Length of track = 5/6 of a mile
Number times Mary was able to run around the track = 4 1/3 times
Total miles ran by Mary :
(Equivalent mile of the track * number of times Mary ran around the track)
5/6 of a mile * 4 1/3 times
5/6 * 13/3
= 65 / 18
= 3.611111 miles
Hence, total Number of miles ran by Mary is 3.61 miles
Answer:
(-1,4) (-8,2) (-6,10)
Step-by-step explanation:
All you had to do is reflect it and figure out the new coordinates. There is you answer.... you welcome