Answer:
t= -4
Step-by-step explanation:
t/2-16= -18
first add 16 to both sides
t/2-16+16= -18+16
t/2= -2
now multiply both sides by 2
(t/2)2=-2(2)
t= -4
answer check:
substitute the variable for -4
-4/2-16= -18
-4/2= -2
-2-16= -18
-18= -18
9514 1404 393
Answer:
17
Step-by-step explanation:
The two base angles are congruent, so we have ...
x +17 = 4x -34
51 = 3x . . . . . . . add 34-x
17 = x . . . . . . . . .divide by 3
Answer:
$32
Step-by-step explanation:
24 divided by 3= 8
8*4=32
Step-by-step explanation:
step 1. all the side length are different therefore all of the internal angles are different.
step 2. a triangle with all different angles is scalene.
step 3. all of the angles are less than 90°
step 4. a triangle with all angles less than 90° is acute.
Answer:
The side lengths of the triangle, in order, are 11 inches, 60 inches, 61 inches.
Step-by-step explanation:
Let the shorter leg be x, the longer leg, y and the hypotenus, z.
y = 16 + 4x
z = 17 + 4x
By Pythagoras rule,
z^2 = x^2 + y^2
(17+4x)^2 = x^2 + (16+4x)^2
that is,
x^2 - 8x - 33 = 0 (A quadratic equation)
By factorising,
(x+3)(x-11)=0
either x = -3 or x = 11.
But length cannot be negative. Hence, -3 is dicarded.
x = 11 inches
y = 16 + 4x = 60 inches
z = 17 + 4x = 61 inches
