Answer:
slope = 
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange 6y - 14x = 5 into this form
add 14x to both sides
6y = 14x + 5 ( divide all terms by 6 )
y =
x +
← in slope- intercept form
with slope m =
← in simplest form
Answer: the third angle is 106 degrees.
The base angles are 37 degrees each.
Step-by-step explanation:
In an isosceles triangle, the base angles are equal.
Let x represent the measure of each of the base angles.
The third angle in an isosceles triangle is 32 more than 2 times as large as each of the two base angles. It means that the measure of the third angle would be
(2x + 32) degrees
The sum of the angles inna triangle is 180 degrees. It means that
x + x + 2x + 32 = 180
4x = 180 - 32
4x = 148
x = 37
The third angle is
2x = 32 = (2 × 37) + 32
= 74 + 32 = 106
Answer:
m = 4√2
Step-by-step explanation:
This is a right angled isosceles triangle whose sides are in the ratio 1:1:√2.
So = 8 / √2
= 8 *√2 / 2
= 4√2
See the attached figure
A(4,8) B(0,7) C(4,3)
<span>the line of reflection is x=5
</span>
the reflection is (x,y)-------------------> (10-x,y)
therefore
A(4,8)-----------------> A1(10-4,8)------> A1(6,8)
B(0,7)-----------------> B1(10-0,7)------> B1(10,7)
C(4,3)-----------------> C1(10-4,3)------> C1(6,3)