Answer:
41°
Step-by-step explanation:
A triangle is a shape with three angles and three sides. There are different types of triangles such as equilateral triangle, scalene triangle, isosceles triangle, right angled triangle and so on.
An isosceles triangle is a triangle in which two sides and two angles are equal to each other.
In triangle CAT, ∠C = ∠T (base angles of an isosceles triangle are equal):
∠A + ∠C + ∠T = 180° (sum of angles in a triangle).
Hence substituting gives::
(9x + 8) + (3x + 11) + (3x + 11) = 180
9x + 3x + 3x + 8 + 11 + 11 = 180
15x + 30 = 180
15x = 180 - 30
15x = 150
x = 150 / 15
x = 10°
Hence ∠A = 9x + 8 = 9(10) + 8 = 98°, ∠C = ∠T = 3x + 11 = 3(10) + 11 = 30 + 11 = 41°
Answer:
Step-by-step explanation: the first is m the second one is 15x+5
Answer:
The equation of line Passing through (2,3) and (4,7)
The slope of line is
4−2
7−3
=
2
4
=2
The equation of line is y−7=2(x−4)
y−7=2x−8
2x−y−1=0
Step-by-step explanation:
The slope of AC is -0.4
Proof:
In triangles ABC and DBE,
∠DBE is common to both triangles.
AB = 2DB (D is the midpoint of the interval AB)
Also, BC = 2BE (E is the midpoint of the interval BC)
Thus triangles ABC and DBE are similar in the ratio 2:1
Since, they are similar, ∠BDE must equal ∠BAC (corresponding angles in similar triangles)
If ∠BDE = ∠BAC, DE must be parallel to AC (corresponding angles are equal along parallel lines)
Thus, the slope of AC = the slope of DE
Thus, the slope of AC is -0.4
Answer:
Therefore, equation of the line that passes through (2,2) and is parellel to the line 
is 
Step-by-step explanation:
Given:
a line
To Find:
Equation of line passing through ( 2, 2) and is parellel to the line y=7x
Solution:
...........Given
Comparing with,
Where m =slope
We get
We know that parallel lines have Equal slopes.
Therefore the slope of the required line passing through (2 , 2) will also have the slope = m = 7.
Now the equation of line in slope point form given by
Substituting the points and so we will get the required equation of the line,
Therefore, equation of the line that passes through (2,2) and is parellel to the line is
