Answer:
Answer:
Step-by-step explanation:
Step-by-step Explanation:
Answer:
x+y=0 and 3x-2y=10
Step-by-step explanation
Let the numbers be x and y.
The sum of the two numbers is 0

Letting the smaller number be y and the
larger number be x:
twice the smaller number

Also, 3 times the larger number

Now ,twice the smaller number subtracted from 3 times the larger number is 10.

Therefore the equations are

and

Answer:
A = 12 units ^2
Step-by-step explanation:
The area of the trapezoid is found by
A = 1/2 (b1+b2)h
b1 = 2
b2 = 4
h = 4
I found these by looking at the graph
A = 1/2(2+4) 4
A = 1/2(6*4)
A = 12 units ^2
You don't say whether this is a right triangle or not.
Assuming it is a right triangle, then we use the Pythagorean Theorem to determine the length of the hypotenuse:
(hypo) = (length of third side) = √(12^2 + 4^2) = √(144+16) = √160 = 4√10.
This is approx. 12.65 inches. Since this does not match any of the possible answer choices, we'll have to take a different approach to answering this question.
Given that 2 sides of the given triangle are 12 and 4 inches, respectively, we see that the 3rd side has to be longer than 8 inches; otherwise we'd have three line segments on the same line, not forming a triangle.
By this reasoning, 9 inches is the only possible answer that could be correct. With sides 12, 9 and 4 inches, the triangle would be obtuse and appear quite flat, but not be part of a straight line as with a third side of 8.
Answer:
B
Step-by-step explanation:
First thing to do here is to calculate the z-score
Mathematically;
z-score = (x-mean)/SD
here, x = 130, mean = 120 and SD = 10
Substituting these values
z-score = (130-120)/10 = 10/10 = 1
So the probability we want to calculate is;
P(z ≥ 1) = 1 - P(z <1)
From standard score table, P(z <1) = 0.15866
P(z ≥ 1) = 1-0.15866 = 0.84134