If I’m not mistaken, the answer is C.
I: 2x+y=5
II:3x+2y=4
start by eliminating y
-2*I: -4x-2y=-10
II: 3x+2y=4
add both equations together
-2*I+II: -4x-2y+3x+2y=-10+4
-1x=-6
x=6
insert x=6 into I:
2*6+y=5
y=5-12
y=-7
so the solution is x=6, y=-7
Answer:
86
Step-by-step explanation:
This is because the angles should add up to 180. So 32 + 64 is 96. Then you subtract 96 from 180 to get 86.
Answer:
BD is 3.75 units
Step-by-step explanation:
Given:
BA = 6 units
CA = 8 units
DC = 5 units
To Find:
BD = ?
Solution:
Triangle Angle Bisector Theorem.
An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.
I.e Here in Δ BAC,
AD is the Bisector of ∠ A
∴
Substituting th above given values in it we get
∴
∴
Therefore BD is 3.75 units
Answer:
B
Step-by-step explanation:
Using the pythagorean theorem A^2 + B^2 = C^2 the only numbers that work are those in choice B. 8 short leg, 15 long leg, 17 hypotenuse.
8^2 + 15^2 = 17^2 = 64 +225=289 = 289=289 therefor proving these set of numbers are a right triangle.