Answer:
24.75 in.
Step-by-step explanation:
5.5 in * 4.5= 24.75
Answer:
6 runners finished the race
Step-by-step explanation:
it starts with 90 runners. then 1/3 of them dropped out in the second half of the race, that means you do 90 divided by 3
90 ÷ 3 = 30
Then, 1/5 of the runners remained.
That means you do 30 divided by 5
30÷ 5= 6
so the answer is 6 remaining runners finished the race.
Answer:
b) true
c) false
d) true
e) true
Step-by-step explanation:
b) Any line that contains an interior point of a circle is a secant of the circle. The center is an interior point, so a line that contains the circle center is a secant.
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c) Chords of different lengths intercept arcs of different measures
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d) Any line perpendicular to a radius at the point where the radius meets the circle is a tangent to the circle. The endpoint of a diameter is the endpoint of a radius, so a line perpendicular there will be a tangent.
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e) The measure of an inscribed angle is half the measure of the intercepted arc, so all inscribed angles that intercept equal arcs are equal.
Answer: 980
Step-by-step explanation:
Answer:
∠HIJ = 57
∠IJH = 57
∠JHI = 66
Step-by-step explanation:
As a much better answer to the other guy:
You first have to find what the sum of the interior angles are. This can be found using the following expression:
<em>( n - 2 ) × 180</em>
Where 'n' is the number of sides of a polygon. Since this is a triangle:
<em>n = 3</em>
Therefore, the sum the interior angles of a triangle is 180°
Returning to the triangle, it's stated that the <u>triangle is isosceles,</u> meaning the ∠HIJ is the same as the ∠IJH (the middle point notating the position of the angle.) So then you have 3 angles with the following expressions:
∠HIJ = 5x + 2
∠IJH = 5x + 2
∠JHI = 3x + 33
Since all of the angles need to add up to 180°, we can smush them all into one big equation:
5x + 2 + 5x + 2 + 3x + 33 = 180
If you simplify everything:
13x + 37 = 180
Subtract 37:
13x = 143
Divide by 13:
x = 11
Now that you have x, plug it in to the equations above!
∠HIJ = 5(11) + 2
∠IJH = 5(11) + 2
∠JHI = 3(11) + 33
Simplify.
∠HIJ = 55 + 2
∠IJH = 55 + 2
∠JHI = 33 + 33
Again.
∠HIJ = 57
∠IJH = 57
∠JHI = 66
There you go!