Answer:
Step-by-step explanation:
The relevant relations here are ...
- the sum of arc measures in a semicircle is 180°
- the sum of angles in a triangle is 180°
<h3>Arc measures</h3>
The given arc CD is part of the semicircular arc CDA. The remaining arc, DA, is the supplement of CD:
arc DA = 180° -CD = 180° -125° = 55°
Central angle AOD has the same measure, 55°. That is one of the acute angles in right triangle AOB, so the other one is the complement of 55°.
∠ABO = 90° -∠AOB = 90° -55°
∠ABO = 35°
<h3>Triangle angles</h3>
In right triangle ABC, angle ABC is given as 55°. The other acute angle, ACB, will be the complement of this.
∠ACB = 90° -∠ABC = 90° -55°
∠ACB = 35°
In the figure, angles ABO and ACB have measures of 35°.
Step-by-step explanation:
f(x) -> f(x + 4) + 3
it shifts 4 units to the right and 3 units up.
Answer:
![36(x-25y)](https://tex.z-dn.net/?f=36%28x-25y%29)
Step-by-step explanation:
Bring out the common factor of <em>4 </em>from the equation
![4(9x-225y)](https://tex.z-dn.net/?f=4%289x-225y%29)
9 and 225 share a common factor of 9. Factor the 9 out
![9 \times 4 (x-25y)](https://tex.z-dn.net/?f=9%20%5Ctimes%204%20%28x-25y%29)
![36(x-25y)](https://tex.z-dn.net/?f=36%28x-25y%29)
Answer: m=2, b=-3
Explanation: rewrite in slope intercept form - y=2x-3. Subtracting is the same as adding therefore it becomes, y=2x+(-3) then using the formula- y=Mx+b identify the slope which is 2 then identify the y-intercept which would be -3.
Hope that helps! Have a good day :)
Answer:
x = 43.98
step-by-step explanation:
c = 2πr
c = 2π7
c = 43.98