The missing steps are each right angles and 
.
Solution:
Step 1: Given data:
Step 2: In the two polygons,
and 
(Each right angle)
Step 3: Given
Step 4: By third angle theorem,
If two angles in one triangle are congruent to the two angles in the other triangle, then the third angles in the triangles also congruent.
Step 5: By the definition of congruent polygons,
If two same shape polygons have all the angles are congruent and all the corresponding sides are congruent then the polygons are congruent.
Hence 
.
Therefore the missing steps are each right angles and .
Answer:
Option 3: mean increases by 3
Step-by-step explanation:
Current mean:
[50+76+78+2(79)+80+81+2(82)+83] ÷ 10
= 77
Without the outliers:
[76+78+2(79)+80+81+2(82)+83] ÷ 9
= 80
80 - 77 = 3 (increase)
Answer:
The answer to your question is $56
Step-by-step explanation:
Data
Payment before noon = $11.20
Payment after noon = $11.20/2
Time from 9:00 to 16:00
Process
1.- Calculate the hours worked before noon and the hours worked after noon.
Before noon = 12:00 - 9 = 3 hours
After noon = 16:00 - 12:00 = 4 hours
2.- Calculate the payment
Payment = (3 x 11.2) + (4 x 11.2/2)
= 33.6 + 22.4
= $56
Answer:
Step-by-step explanation:
It usually works best for factoring to remove any common factors from the coefficients. Here, they are all even numbers, so have a common factor of 2. After taking that out, you have ...
2(4x² -4x -3)
To factor this, you are looking for factors of (4)(-3) that have a sum of -4.
-12 = 1(-12) = 2(-6) = 3(-4)
These pairs have sums of -11, -4, -1. So, we are interested in the factors 2 and -6. We can use those to rewrite the middle term, then factor by pairing.
= 2(4x² +2x -6x -3) = 2((2x(2x+1) -3(2x+1)) = 2(2x -3)(2x +1)
Of these, the factors that are on your list of choices are ...
