Answer:
Option D
Step-by-step explanation:
SAS criterion- two sides and an included angle.
This means that we have
(i) AC = DE
(ii) ∠C = ∠D
(iii) the third should be another side so that there are 2 sides with an included angle.
Hence, it will be
BC = FE (Option D)
Hope this helps you!
Answer:
x = -1
Step-by-step explanation:
Solve for x:
3 (2 x - 1) = 7 x + 5 x + 3
Grouping like terms, 7 x + 5 x + 3 = (5 x + 7 x) + 3:
3 (2 x - 1) = (5 x + 7 x) + 3
5 x + 7 x = 12 x:
3 (2 x - 1) = 12 x + 3
Expand out terms of the left hand side:
6 x - 3 = 12 x + 3
Subtract 12 x from both sides:
(6 x - 12 x) - 3 = (12 x - 12 x) + 3
6 x - 12 x = -6 x:
-6 x - 3 = (12 x - 12 x) + 3
12 x - 12 x = 0:
-6 x - 3 = 3
Add 3 to both sides:
(3 - 3) - 6 x = 3 + 3
3 - 3 = 0:
-6 x = 3 + 3
3 + 3 = 6:
-6 x = 6
Divide both sides of -6 x = 6 by -6:
(-6 x)/(-6) = 6/(-6)
(-6)/(-6) = 1:
x = 6/(-6)
The gcd of 6 and -6 is 6, so 6/(-6) = (6×1)/(6 (-1)) = 6/6×1/(-1) = 1/(-1):
x = 1/(-1)
1/(-1) = -1:
Answer: x = -1
Answer:
28 and 62
Step-by-step explanation:
complementary angles add up to 90o
x+(x-34) =90
2x-34=90
2x=56
x=28 (small angle)
28+34=62 (big angle)
28+62 =90
Therw are no outliers. Outliers is a point that is out of the range of the correlation.
The group of points is going down making it a negative.
The points are not spread out. They are clustered together enough to determine it is a correlation.
It is a negative correlation.
Answer:
Step-by-step explanation:
Our first goal is to transform these words into numbers for an expression.
Let's break it down.
<em>-7 times a number</em>
We'll assume that the number is . -7 times a number can be represented as .
<em>8 times the sum of the number and 1</em>
We can break this complex statement down.
<em>8 times </em><em>the sum of the number and 1</em>
The sum of the number and 1 will be . 8 times that will be . Since it says at the beginning <em>the sum of</em>, we add to .
<em>Is the same as the number minus 7</em>.
"Is the same" means we use an equal sign. The number minus 7 will be . So we get
Now we can solve for n by reversing the equation until we have n isolated on one side.
We end up with 8 = -7. This is not possible. Therefore, there are no real values of x that satisfy this equation.
Hope this helped!