Answer:
<h2>$205</h2>
Step-by-step explanation:
45 - 25 = 20
65 - 45 = 20
as you can see the common difference between the 3 consecutive numbers 25 , 45 and 65 is a constant (20)
so ,we are in an arithmetic sequence case with :
Let’s label the sequence: Un
then
Un = U1 + (n-1)×r
= 25 + (n-1)×20
= 20n + 5
for n = 10 → U10 = 20(10) + 5 = 200 + 5 = 205
24,000,000 because 600,000 is more than 1/2 1,000,000 so you round up.
In the given image,
is 5. The correct option is the first option 5
<h3>Matrix notation</h3>
From the question, we are to determine which entry in the given matrix represents 
NOTE: For any entry denoted as
, it represents the entry in the <em>m</em>-th row and <em>n</em>-th column.
Thus,
represents the entry in the 2nd row and 3rd column.
In the given image, the entry in the 2nd row and 3rd column is 5.
Hence, in the given image,
is 5. The correct option is the first option 5
Learn more on Matrix notation here: brainly.com/question/2382978
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Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
5x + 7 + 4x + 2 + 90 = 180 , that is
9x + 99 = 180 ( subtract 99 from both sides )
9x = 81 ( divide both sides by 9 )
x = 9
Then
∠ ACB = 4x + 2 = 4(9) + 2 = 36 + 2 = 38°
∠ BAC = 5x + 7 = 5(9) + 7 = 45 + 7 = 52°
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Since the triangles are congruent then corresponding angles are congruent , so
∠ B = ∠ E
6x + 10 = 70 ( subtract 10 from both sides )
6x = 60 ( divide both sides by 6 )
x = 10