Answer:
55
Step-by-step explanation:
55 is your answer
Arlen already established that ΔRST and ΔUTS has two pairs of congruent angles and a pair of congruent included sides, which meet the ASA Congruence Criterion. Therefore:
- the missing statement in the proof is: ΔRST ≅ ΔUTS
- the missing reason in the proof is: ASA Congruence Criterion
<h3>What is the ASA Congruence Criterion?</h3>
The ASA Congruence Criterion states that for two triangles to be considered congruent to each other, both triangles must have a pair of congruent included sides and two pairs of congruent angles.
Thus, the two-column proof that shows that RS ≅ TU that Arlen is trying to write, has already established that ΔRST and ΔUTS has the following:
Two pairs of congruent angles - ∠RST ≅ ∠UTS and ∠RTS ≅ ∠UST.
A pair of congruent included sides - ST ≅ S.
These satisfy the ASA Congruence Criterion. Therefore:
- the missing statement in the proof is: ΔRST ≅ ΔUTS
- the missing reason in the proof is: ASA Congruence Criterion
Learn more about the ASA Congruence Criterion on:
brainly.com/question/11637992
Answer:




So then the % expected would be:

So then the answer would be 75%
Step-by-step explanation:
For this case we have the following info given:
represent the true mean
represent the true deviation
And for this case we want to find the minimum percentage of sold homes between $211,600 and $238,400.
From the chebysev theorem we know that we have
% of values within
if we use this formula and the limit given we have:




So then the % expected would be:

So then the answer would be 75%
STEP 1: Convert interest rate of 2% per 6 months into rate per year.
rate per year = rate per 6 month⋅2=2%⋅2=4%
STEP 2: Convert 9 months into years.
9 months =
9
12
years=0.75 years
STEP 3: Find principal by using the formula
I=P⋅i⋅t
, where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.
In this example I = $15, i = 4% and t = 0.75 years, so
I
P
P
P
=P⋅i⋅t
=
I
i⋅t
=
15
0.04⋅0.75
=500
Yes, you just times one of the equations by a numberr to make it cancel out with the other. For instance:
2x + 6 y = 10
4x + 2y = 16
If we multiply the equation 2x + 6 y = 10 by 2 we get the following
2x + 6 y = 10
-2(2x + 6 y) = -2(10)
-4x -12y = -20
Now we use this new equation.
-4x -12y = -20
4x + 2y = 16
As you can see, you can cancel out the x and solve for y now.