Answer:
y = -6x + 9/4
Step-by-step explanation:
y = mx + b
m= -6
b 9/4
4 to the 1st is 4
4 to the 2nd is 16
4 to the 3rd is 64
<span>4 to the 4th is 256
hope that helps</span>
Since <em>l</em> and <em>m</em> are parallel, the unlabeled angle adjacent to the 63° one also has measure (7<em>x</em> - 31)° (it's a pair of alternating interior angles).
Then the three angles nearest line <em>m</em> are supplementary so that
(7<em>x</em> - 31)° + 63° + (5<em>x</em> - 8)° = 180°
Solve for <em>x</em> :
(7<em>x</em> - 31) + 63 + (5<em>x</em> - 8) = 180
12<em>x</em> + 24 = 180
12<em>x</em> = 156
<em>x</em> = 13
The bottom-most angle labeled with measure (4<em>y</em> + 27)° is supplementary to the angle directly adjacent to it, so this unlabeled angle has measure 180° - (4<em>y</em> + 27)° = (153 - 4<em>y</em>)°. The interior angles of any triangle have measures that sum to 180°, so we have
(7<em>x</em> - 31)° + 63° + (153 - 4<em>y</em>)° = 180°
We know that <em>x</em> = 13, so 7<em>x</em> - 31 = 60. Then this simplifies to
123° + (153 - 4<em>y</em>)° = 180°
Solve for <em>y</em> :
123 + (153 - 4<em>y</em>) = 180
276 - 4<em>y</em> = 180
96 = 4<em>y</em>
<em>y</em> = 24
Answer:
A triangle has angle measures of 45, 110, and 25 degrees would has an orthocenter outside the triangle.
Hope this helps!
:)
Answer:
38
Step-by-step explanation:
We have to substitute x with 2 and y with 4
when the sign of a operation is not expressed it means that the operation is a
multiplication
So we have
3*2 + 2*(4)^2
6 + 2*(16)
6 + 32
38