Answer:
x = 7 , y= - 6
Step-by-step explanation:
4x = -2 - 5y ___(1)
4x= 10 - 3y ___(2)
so, now by simultaneous equations,
10 - 3y = - 2 - 5y
2y = -12
y = -6
if y = -6
then, 4x= 10 -3(-6)
4x =28
x = 7
Answer: d
Step-by-step explanation:
The probability of not being purple is the probability of the three other colors. Suppose the number of purple marbles is x. Then we have 20+30+40+x = 90 + x marbles. Then the probability of not being purple is 90/(90+x). If this fraction can have a lowest term for some value of x, then the numerator of this lowest term must be a factor of 90.
Checking through the options, only option D has a non-factor of 90 as its numerator.
This is a problem for the Pythagorean Theorem: a² + b² = c², where a, b, and c are the three sides of the triangle, and c is the hypotenuse. The hypotenuse of a triangle is the side across from the 90 degree angle.
In this case, the hypotenuse, c, is 12, because the ladder is 12 feet long (and is the side across from the 90 degree angle created by the ground and the side of the house). You have one of the other sides (3 feet), so you can find the last side by plugging in the numbers:
Answer:
The answer is A✔✔✔✔ hope that helps !!!!!!!!!!
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
volume of triangular prism = area of base times length
the base is a triangle and the area of a triangle can be calculated by using this formula

where b = base length and h = height
Dimensions of base
base length = 8cm and height = 3cm
Thus,

The length of the triangular prism is 10cm
Thus volume = 10 * 12 = 120