Answer:
Step-by-step explanation:
Answer:
Yes ,we can prove the two triangles are similar by angle angle test.
Step-by-step explanation:
Given:
∠ABE = 45°
∠EAB = 63° and
∠MNP= 72°
∠NMP = 63°
To Prove:
ΔABE ~ ΔMPN
Proof:
In a Triangle sum of the angles of a triangle is 180°
In ΔMPN
∴ ∠MNP + ∠NMP + ∠MPN = 180°
Substituting the given values we get,
∠MPN = 45° ..........................( 1 )
Now,for triangles to be similar
- minimum two angles should be congruent i.e AA test.
- all the three sides should be proportional i.e SSS test
In Δ ABE and Δ MPN
∠ ABE ≅ ∠ MPN = 45° ……….{From ( 1 ) and Given}
∠ EAB ≅ ∠ NMP = 63° ………...{Given}
Δ ABE ~ Δ MPN ….{Angle-Angle test}
..........Proved
24.95 + 3.95x < = 76.30
3.95x < = 76.30 - 24.95
3.95x < = 51.35
x < = 51.35/3.95
x < = 13....the greatest number is 13
Answer:
Rise = 0
Run = 4
Slope = 0
Step-by-step explanation:
Slope of straight line =
Since, given line is passing through two points (-2, -3) and (2, -3),
Rise of the line = -3 - (-3) = 0
Run of the given line = 2 - (-2) = 4
By substituting these values of rise and run in the formula,
Slope =
= 0
Therefore, Rise = 0
Run = 4
Slope = 0
Note: Slope of a line parallel to the x-axis is zero.
Slope of a line parallel to y-axis is not defined.
D because there sides are congruent