Answer:
measure of 1 = 117 degrees
measure of 2 = 63 degrees
<em>*x = 39</em>
Step-by-step explanation:
m1 = 3 x 39 = 117
m2 = 39 + 24 = 63
117 + 63 = 180 degrees
Answer:
a. 1/6
Step-by-step explanation:
for a, there is only one side that has three
Answer:
Step-by-step explanation:
#22
<h3>Given </h3>
- Equation x² -4x + 1 = k(x - 4) with equal roots
<h3>To find</h3>
<h3>Solution</h3>
<u>The equation in standard form is:</u>
- x² -4x + 1 = k(x - 4)
- x² - 4x - kx + 1 + 4 = 0
- x² - (k + 4)x + 5 = 0
<u>When the quadratic equation has equal roots its discriminant is zero</u>
- D = 0
- b² - 4ac = 0
- (k + 4)² - 4*5 = 0
- (k + 4)² = 20
- k + 4 = ± √20
- k = - 4 ± √20
- or
- k = -4 ± 2√5
Answer: The greater than or equal to sign means that you need a closed circle. Put a closed circle on 358. Make the arrow to the right of 358 because w is greater than 358
Step-by-step explanation:
50w + 100 ≥ 18000
-100 on both sides
50w ≥ 17,900
Divide both sides by 50
w ≥ 358
The greater than or equal to sign means that you need a closed circle. Put a closed circle on 358. Make the arrow to the right of 358 because w is greater than 358
Answer:
360/12 = 30 degrees
Step-by-step explanation:
To find any exterior angle, you need to divide 360 degrees by the total number of sides from the polygon.
Since the polygon in question is a dodecagon (with 12 sides), all you need to do is divide 360 degrees by 12, thus, the size of the exterior angle is 30.