First Equation:
0.6 +(0.4+0.9) =n
Step 1: do parentheses first:
0.4+0.9 = 1.3
Step 2: Add 0.6 + 1.3
0.6 + 1.3 = 1.9
n= 1.9
Second Equation:
(1.57 + 0.75) + 0.25 + n
Step 1: do parentheses first:
1.57 + 0.75 = 2.50
Step 2: Add 2.50 + 0.25 = 2.75
Step 3: Add 2.75 and n = 2.75+n
Final Answer:
1.9 +2.75+n = 4.65 +n
Hope this helps!!
Answer:
x = 45°
Step-by-step explanation:
<u>Vertical Angle Theorem</u>
When two <u>straight lines intersect</u>, they form two pairs of angles. The vertically opposite (non-adjacent) angles are <u>congruent</u> (equal).
From inspection of the given diagram, the <u>straight line with points C and D</u> and the <u>straight line with points F and G</u> intersect at <u>point E</u>.
Therefore, angles ∠FEC and ∠DEG are vertically opposite, and so they are equal.
From inspection of the diagram:
- ∠FEC = x°
- ∠DEG = 20° + 25° = 45°
Therefore:
⇒ ∠FEC =∠DEG
⇒ x = 45°
Answer:
A' = (6, 15)
Step-by-step explanation:
We consider the center point of dilation to be the origin (0,0)
so point A(-2, -5) to A' by scale factor N = -3 means
A' = (-2*(-3), -5*(-3)) = (6, 15)
Answer:
160.
Step-by-step explanation:
Work out the innermost parentheses first:
{[9 x (7.3+10.7)} - 5} + [3 x (7.8 - 6.8)}
= {[9 x 18} - 5} + [3 x 1}
= {162 - 5} + 3
= 160.
