answer:
in order to construct 75°, you need to use a protractor and a compass
step-by-step explanation:
here is a step-by-step explanation from an online source
- step 1: draw a line segment with endpoint O and A
- step 2: draw an arc with O as centre cutting the line segment OA at point B with a compass
- step 3: keeping the radius same, draw an arc with B as centre cutting the arc at C
- step 4: keeping the radius same, and C as the center, draw an arc intersecting the arc drawn in the previous step at D
- step 5: with any radius, draw two arcs with C and D as a center. intersect these two arcs at E
- step 6: join OE. angle EOA is the angle with measurement of 90 degrees
- step 7: now the line OE intersect the arc at the point F
- step 8: taking F and C as a center, make an arc with a radius of more than half of the measurement FC. the arc intersects at point H
- step 9: join the point H and O. angle HOA is the angle obtained of measurement 75 degrees
- step 10: angle HOA is the desired angle
Dear Westbrookalisha, your question is very vague. I don't see the worksheet or the problem you want us to solve.
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
<h3>
<u>Answer:</u></h3>
Average of salary of Anne and David is 1.25 of Peter's Salary
<h3>
<u>Explanation:</u></h3>
In the question, relations between salaries of Peter, Anne, and David is given. From the given relations, we need to make few equations and calculate the average of Anne and David in terms of Peter's Salary.
Let us assume Peter's Salary as P.
Then we can calculate Anne's salary A = 
.
Also David's salary = D = 
Average of Anne's and David's salary = 
Average of Anne's and David's salary = 
Average of Anne's and David's salary = 
Average = 1.25 \times P
