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°.
Answer:
Step-by-step explanation:
Let x be the amount of flour and y be the amount of sugar ordered.
Since, the order of flour and sugar weighs 15 pounds.
Therefore,
Also, Flour costs $0.80 per pound and sugar costs $0.50 per pound.
The cost of ordered flour=$0.80x
The cost of ordered sugar=$0.50y
Now, the total cost of the order=
Hence, for the given situation the system of equations is:-
Given the fact that 95 is on the right side of the line
the left side would be 85 in which you would
add 85 to 60 which would be 145
then subtract 145 from 180 and you'll get
35 degrees as your missing angle so
X = 35