Y = 90 degrees
1) The angles on a straight line add to 180 degrees so 180-110= 70 degrees.
2) The angles in a triangle add to 180 degrees so 70+70= 140 degrees. The angle at the top of the triangle will have to be 40 degrees as 140+40= 180 degrees.
3) As x is half the angle at the top of the triangle (40 degrees), x will equal 20 degrees.
4) As the angles in a triangle add to 180 degrees 20+70=90 degrees 180-90=90 degrees.
5) Answer = 90 degrees
A translation
(I'm assuming that this isn't multiple choice since you didn't include the answer choices.)
Answer:
The answer is x=9 so, its option 3.
Answer:
7
Step-by-step explanation:
So basically first distribute the -5 to the stuff in the parenthesis and then solve.
Hope I helped!! :)
Answer:
24 units
Step-by-step explanation:
A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?
triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees
15.5 units
24 units
30 units
37.5 units
From the description:
angle D measures a degrees
opposite to angle D is side EF
side DE (which measures 30 units) is the hypotenuse of the triangle.
We also know that
![\sin (a) = \frac{4}{5}](https://tex.z-dn.net/?f=%5Csin%20%28a%29%20%3D%20%5Cfrac%7B4%7D%7B5%7D)
![\sin (a) = \frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=%5Csin%20%28a%29%20%3D%20%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
From definition:
![\sin (a) = \frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=%5Csin%20%28a%29%20%3D%20%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
Replacing:
![\frac{4}{5} =\frac{ EF}{DE} \\\\EF = \frac{4}{5} *DE\\\\EF = \frac{4}{5} *30 \\\\= 24 units](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B5%7D%20%3D%5Cfrac%7B%20EF%7D%7BDE%7D%20%5C%5C%5C%5CEF%20%3D%20%5Cfrac%7B4%7D%7B5%7D%20%2ADE%5C%5C%5C%5CEF%20%3D%20%5Cfrac%7B4%7D%7B5%7D%20%2A30%20%5C%5C%5C%5C%3D%2024%20units)