Answer:
93°
Step-by-step explanation:
By exterior angle theorem:
(4x + 9)° = 2x° + (3x - 12)°
(4x + 9)° = (2x + 3x - 12)°
(4x + 9)° = (5x - 12)°
4x + 9 = 5x - 12
4x - 5x = - 12 - 9
-x = - 21
x = 21
Measure of exterior angle
= (4x + 9)°
= (4*21 + 9)°
= (84 + 9)°
= 93°
Answer: The mean is 3780
Step-by-step explanation:
Mean is found by adding all values and dividing the sum by how many values were added.
4250+4019+3895+3739+3401+3376=22680
22680/6=3780
Step 1: Subtract -2 from both sides.<span><span><span><span>
m2</span>+<span>4m</span></span>−<span>(<span>−2</span>)</span></span>=<span><span>−2</span>−<span>(<span>−2</span>)</span></span></span><span><span><span><span>
m2</span>+<span>4m</span></span>+2</span>=0</span>
Step 2: Use quadratic formula with a=1, b=4, c=2.<span>
m=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>
m=<span><span><span>−<span>(4)</span></span>±<span>√<span><span><span>(4)</span>2</span>−<span><span>4<span>(1)</span></span><span>(2)</span></span></span></span></span><span>2<span>(1)</span></span></span></span><span>
m=<span><span><span>−4</span>±<span>√8</span></span>2</span></span><span><span>
m=<span><span>−2</span>+<span><span><span>√2</span><span> or </span></span>m</span></span></span>=<span><span>−2</span>−<span>√2</span></span></span><span>
</span>
FK+M=A-UK
FK-UK=A-M
(F-U)K=A-M
K=(A-M)/(F-U)