≅Answer:
See below.
Step-by-step explanation:
If we rotate the shape on the right 90 degrees counterclockwise we see they fit together, because they are congruent. They are exactly equal in size and shape - that's what congruent means.
So the following angles are equal in measure:
m < A = m < R
m < B = m < S
m < C = m < P
m < D = m < Q.
Corresponding sides are also equal in length:
Sides AB = RS
BC = SP
CD = PQ
AD = RQ.
Note: in the US the symbol ≅ is used for equality of sides. I think it means 'is congruent to'. (I'm from the UK).
X=3 Should be the answer If you ser 2x-3=5x-12
-2x -2x
-3=3x-12
+12 +12
9=3x
3=x
Answer:
Step-by-step explanation:
Hello!
You have da data for the variables:
X: Number of the day after the opening of Jackson's business.
Y: Number of personal recommendations given by customers of Jackson's business.
Since Jackson's business relies on his customers for advertisement, it is to be expected that the more it is recommended, the more will the business grow.
If this is so then as time passes by, the number of customers and recommendations should increase.
I've made a scatterplot between the two variables, see attachment.
As shown in the scatterplot it seems to be a positive association between these two variables, meaning, when the days pass by, the number of personal recommendations increases.
I hope this helps!
Perimeter of the shape is 2(AB) + 2(BC)
AB = sqrt((7 - 5)^2 + (3 - 5)^2) = sqrt(2^2 + (-2)^2) = sqrt(4 + 4) = sqrt(8) = 2.83
BC = sqrt((3 - 7)^2 + (0 - 3)^2) = sqrt((-4)^2 + (-3)^2) = sqrt(16 + 9) = sqrt(25) = 5
Perimeter = 2(AB) + 2(BC) = 2(2.83) + 2(5) = 5.66 + 10 = 15.7