The vertices of a right triangle are (–6, 4), (0, 0), and (x, 0). Find the value of x.
Answer:
m∠P = 65°
Step-by-step explanation:
An Isosceles triangle has two sides of equal length and two interior angles of equal measure.
Sum of interior angles of a triangle = 180°
If QO ≅ PQ and the enclosed m∠Q = 50° then m∠P ≅ m∠O
⇒ m∠Q + m∠P + m∠O = 180
⇒ 50 + m∠P + m∠O = 180
⇒ m∠P + m∠O = 130
As m∠P ≅ m∠O:
⇒ m∠P = 130 ÷ 2 = 65°
5 miles on Thursday, with one mile=5,280 ft. You do 5 multipled by 5,289 which you get 26,499
Answer:
4(x+8)
Step-by-step explanation:
hope this helps
Then if you want to know the value of x.
This is the solution 4(x+8)
4x+32 to find the x divide both by side by 4.
4x/4+32/4
x=8
9514 1404 393
Answer:
- 52°: angles 4, 13, 18
- 128°: angles 1, 3, 14, 17
- 44°: angles 5, 12, 15
- 136°: angles 2, 6, 11, 16
- 84°: angles 7, 10
- 96°: angles 8, 9
Step-by-step explanation:
Where a transversal (t or u) crosses parallel lines (m and n), there are four angles formed at each intersection. Corresponding and vertical angles are congruent.
Angles in a linear pair are always supplementary. Of course, the angles interior to a triangle always total 180°. These facts let you find the relationships of all the angles in the figure.
Angle 13 corresponds to the given angle 52°, so has the same measure. Angles 4 and 18 are vertical angles with respect to those, so also have the same measure. Angles 1 and 3, 14 and 17 are supplementary to the ones just named, so all have measure 128°.
In the same way, angles on the other side of the figure can be found from the one marked 44°. Angles 5, 12, and 15 also have that measure; and angles 2, 6, 11, and 16 are supplementary, 136°. Angles 7 and 10 finish the triangle interior so that its sum is 180°. That means they are 180° -52° -44° = 84°. Of course, angles 8 and 9 are the supplement of that value, 96°.
In summary:
- 52°: angles 4, 13, 18
- 128°: angles 1, 3, 14, 17
- 44°: angles 5, 12, 15
- 136°: angles 2, 6, 11, 16
- 84°: angles 7, 10
- 96°: angles 8, 9
