Answer:
The distance traveled at a constant speed is directly proportional to the time of travel. If Olivia traveled 112 miles in 3.5 hours, how many miles will Olivia travel in 8.9 hours at the same constant speed?
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Proportion:
x/8.9 = 112/3.5
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x = 8.9(112/3.5)
x = 284.8 miles
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Cheers,
Solution:
We know that the formula to write the equation of a circle is (x – h)² + (y – k)² = r², where h is the x coordinate, k is the y-coordinate, r is the radius of circle, and the center of circle is (-6,2).
<u>Finding the radius of the circle.</u>
- Diameter: 10 units
- Radius: 10/2 units = 5 units
<u>Creating the equation:</u>
- (x – h)² + (y – k)² = r²
- => (x + 6)² + (y – 2)² = 5²
The equation is (x + 6)² + (y – 2)² = 5².
Learn more: brainly.com/question/26573763
Answer:
∠b=133°
∠c=47°
∠d=133°
Step-by-step explanation:
We are given with two lines intersecting at a point and thus forming 4 angles
∠a , ∠b ,∠c and ∠d
Here we must understand the properties of angles formed by two intersecting lines.
Supplementary Angles :
In our image following pairs are supplementary angles
∠a and ∠b
∠b and ∠c
∠c and ∠d
∠d and ∠a
the properties of supplementary angles say that their sum is 180°
Hence if ∠a=47°
∠a+∠b=180°
47°+∠b=180°
∠b=180°-47°
∠b=133°
Vertically opposite angles. When two lines intersects , they form two pairs of vertically opposite angles
here
∠a and ∠c
∠b and ∠d
are vertically opposite angles
The property says that they are equal.
Hence
if ∠a=47° , ∠c=47°
if ∠b=133° , ∠d=133°
Answer:
first you distribute the five making it 10x-30+20=10
second you combine like terms making it 10x-10=10
third you isolate the variable making it 10x=20
Finally you divide both terms by ten giving you x=2 as your answer.
