Answer:
The measure of angle PQR is 74 degrees
Step-by-step explanation:
* <em>Lets explain how to solve the problem</em>
- Bisect an angle means divide the angle into two equal parts in
measures
- Ex: If angle ABC is bisected by a ray BD then:
- Angle ABC is divided into two equal parts in measure
m∠ABD = m∠CBD and
m∠ABC = m∠ABD + m∠CBD
- So we can say measure of angle ABC is twice measure of angle
ABD or twice measure of angle CBD
*<em> Lets solve the problem</em>
- Julio bisects angle PQR and labels a point on the bisector as S
∴ m∠PQS = m∠RQS
∴ m∠PQR = m∠PQS + m∠RQS
∴ m∠PQR = 2 m∠PQS ⇒ (or 2 m∠RQS)
- He measures angle PQS with a protractor and find its measure is
37 degrees
∵ m∠PQS = 37°
∴ m∠PQR = 2 × m∠PQS
∴ m∠PQR = 2 × 37 = 74°
∴ The measure of angle PQR is 74 degrees
Answer:
(x-3)(x-2)
Step-by-step explanation:
x^2-5x+6
x^2-2x-3x+6
x(x-2)-3(x-2)
(x-3)(x-2)
Answer:
59 miles per hour
Step-by-step explanation:
Answer:
The equation of the circular wheel is 
.
Step-by-step explanation:
Given :
Radius of Ferris wheel r = 70 feet.
The distance between the wheel and the ground = 4 feet.
Also, the rectangular coordinate system shown has its origin on the ground directly below the center of the wheel.
So the x coordinate of center of wheel must be 0 , and y coordinate = 70 + 4 = 74
Thus, Coordinates of center = (0,74)
The equation of circle is given by :-
Now center (h,k) = (0,74) and r = 70 , we get
Hence, the equation of the circular wheel is .
