Answer:
see explanation
Step-by-step explanation:
Since the base angle are congruent, both 44° then the triangle is isosceles.
Then the 2 legs are congruent, that is
4x - 7 = 2x + 1 ( subtract 2x from both sides )
2x - 7 = 1 ( add 7 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Thus legs are both 4x - 7 = 4(4) - 7 = 16 - 7 = 9 and base = x + 3 = 4 + 3 = 7
As a check 9 + 9 + 7 = 25 → correct
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the base angles from 180 for y, that is
y = 180 - (44 + 44) = 180 - 88 = 92
Finally
x = 4
y = 92
angles are 92°, 44° and 44°
sides are 9, 9 and 7
Answer:
(3, 15) and (4, 12)
Step-by-step explanation:
x2 - 7x+12 = 0 factors to (x - 4)(x - 3) = 0, and so x: {3, 4}.
Since y= -3x + 24, y = 15 when x = 3 and y = 12 when x = 4. The solutions are thus (3, 15) and (4, 12). This is the third answer choice.
It would travel 3.0 x 10 ^ 10th power
Step-by-step explanation:
Let the length be x
7% of x = 200ft
7/100 × x = 200
7x/100 = 200
7x = 200 × 100
7x = 20000
x = 20000/7
x = 2,857.14
Answer:
Step-by-step explanation:
we know that
The smallest cube that could circumscribe the sphere has a length side equal to the diameter of the sphere
In this problem
The radius of the sphere is
The diameter of the sphere is two times the radius
so
The length side of the cube is
Remember that
The surface area of a cube is equal to the area of its six faces
so
substitute the value of b