Answer:
CD = 6 units
Step-by-step explanation:
In triangle ABC , AB is the hypotenuse then AB =√(BC)² + (AC)² = √(12)² + (9)² = 15
AB = 15
sin ∠ABC 12/15 = 0,8 Then arcsin (0.8) = 53,1°
∠ABC = 53,1° and ∠BAC = 36,9°
Now the hypotenuse is 15 units and we need to find the lenght of segment
CD. If we divide the hypotenuse in three equal segment (of lenght 5 each) we at the same time are dividing the ∠ACB ( 90°), in three equals angles of
30°.
If we now apply sin law
sin 30°/ 5 = sin 36,9°/CD
Then CD = 5 * sin 36.9° / sin 30° ⇒ CD =[ 5* (9/15) ] / 1/2
CD = 6 units
9514 1404 393
Answer:
p = 30
angles 30°, 45°; exterior: 75°
Step-by-step explanation:
The exterior angle is equal to the sum of the remote interior angle:
3p -15 = p + (p +15)
p = 30 . . . . . . . . . . . . . add 15-2p
The interior angles are 30°, 45°; the exterior angle is 75°.
The measure of angle D in the inscribed triangle is as follows;
∠D = 63 degrees
<h3>How to solve circle theorem?</h3>
The circle theorem can be use to find the ∠D as follows;
The triangle BCD is inscribed in the circle.
Using circle theorem,
The angle of each triangle is double the angle of the arc it create.
Therefore,
arc BC = m∠D
m∠B = 134 / 2 = 67 degrees.
Therefore, using sum of angles in a triangle.
67 + 50 + m∠D = 180
m∠D = 180 - 50 - 67
m∠D = 63 degrees.
learn more on circle theorem here: brainly.com/question/19906313
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Answer:
242 pages.
Step-by-step explanation:
Let x represent number of pages that Claudia read last week.
We have been given that Claudia is reading a book that has 360 pages. She read some of the book last week. She plans to read 46 pages today. When she does,she will be 4/5 of the way through the book.
The number of total page left after reading 46 pages and x pages last week will be equal to 4/5 of 360.
We can represent this information in an equation as:
Let us solve for x.
Therefore, Claudia read 242 pages last week.
If is
x > 2 or x < 7 ⇒ x is any real number
If is
x > 2 and x < 7 ⇒ 2 < x < 7
A set of all numbers that are greater than 2 and less than 7.
Look at the picture.
