A) In this question two angles are given equal and in next step both sides are multiplied by 5 and the result of both sides is equal to each other. The property used is
"When equal are multiplied by equL number then the result is also equal" the equality property is of multiplication.
B) In this question 
is given
And then 
Here number 3 is subtaracted from both the sides to make 
equal to 2.
The property of equality used is " If equal are subtracted from equal the result will be equal"
Here the equality property of subtraction is uaed.
Answer: 72 miles.
Step-by-step explanation:
We know the relationship:
Distance = speed*time.
Then we can write the equation for distance as a function of time for Ali as:
A(t) = 12mph*t
where t is time in hours.
Fatimah's equation will be:
F(t) = 18mph*(t - 2h)
where the -2h appears because she starts two hours after Ali.
Fatimah will overtake Ali when F(t) = A(t) (their positions are the same)
Then we need to solve:
12mph*t = 18mph*(t - 2h)
12mph*t = 18mph*t - 18mph*2h
12mph*t = 18mph*t - 36 mi
36 mi = (18mph - 12mph)*t
36mi = 6mph*t
36mi/6mph = t
6h = t
So Ali travels for 6 hours before he gets overtaken, then the total distance that Ali travels is:
A(6h) = 12mph*6h = 72 mi
Answer:
67
Step-by-step explanation:
68-2+1= 68-1=67
The measure of Arc AU of the given Circle Geometry is; 50°
<h3>How to find the measure of arc angle?</h3>
The circle theorem we will apply to solve for the arc measure states that “Measure of angles subtended to any point on the circumference of the circle from the same arc is equal to half of the angle subtended at the center by the same arc.”
We can express the above theorem as;
Angle at the center = 2 × Angle at the circumference
From the attached image below and from the given statement in the question, we are given that; ∠QUA = 111°
Therefore, applying the circle theorem earlier quoted, we can say that; m∠QDA = 2 × ∠QUA
m∠QDA = 2 × 111° = 222°
Which gives;
∠QOA = = 360° - 222° = 138°
∠QOA = ∠QOU + ∠UOA (by angle addition property)
Thus;
∠QOA = 138° = 88° + ∠UOA
∠UOA = 138° - 88° = 50°
Thus, the measure of Arc AU is;
Arc AU = ∠UOA = 50°
Read more about arc angle at; brainly.com/question/27890907
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Answer:
I wouls be A
Step-by-step explanation:
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