Answer:
The larger number is -6, the smaller number is -15
Step-by-step explanation:
We have two numbers, a and b.
We know that one number is larger than another by 9.
Then we can write:
a = b + 9
then a is larger than b by 9 units.
If the greater number is increased by 10 (a + 10) and the lesser number is tripled (3*b), the sum of the two would be -41:
(a + 10) + 3*b = -41
So we got two equations:
a = b + 9
(a + 10) + 3*b = -41
This is a system of equations.
One way to solve this is first isolate one variable in one of the two equations:
But we can see that the variable "a" is already isolated in the first equation, so we have:
a = b + 9
now we can replace that in the other equation:
(a + 10) + 3*b = -41
(b + 9) + 10 + 3*b = -41
now we can solve this for b.
9 + b + 10 + 3b = -41
(9 + 10) + (3b + b) = -41
19 + 4b = -41
4b = -41 -19 = -60
b = -60/4 = -15
b = -15
then:
a = b + 9
a = -15 + 9 = -6
a = -6
32.4 is what is deducted from his paycheck because 18% of 180 is 32.4<span />
To simplify √((2x)^2)√2y, we
must multiply the indices of both roots and the coefficients that within both roots. As we can see bellow, we get a root which has index 4:
=((2x)^(2y))^1/4
Finally, the factor (2x)^2 has an exponent which is divisible by the index of the root, so it can be simplified, as it's shown in the following step:
=
(2x)(2y)^1/4
Answer:
D. Sum of Interior angles; Converse of opposite angles theorem.
Step-by-step explanation:
Solution:
Statement Reasons
1. m∠A =50°,m∠B= 130°,m∠C = 50° Given
Now we know that;
"Sum of all interior angles is 360°."
2. m∠A + m∠B + m∠C + m∠D =360° Sum of all Interior angles
3. 50°+ 130° + 50° + m∠D =360° Substitution
4. m∠D =130° Subtraction property of equality.
5. m∠A Congruent m∠C Angles with equal measure are congruent m∠B Congruent m∠D
Now By Converse of opposite angle theorem which states that;
"If the opposite angles of a quadrilateral are congruent, then the figure is a parallelogram."
6. ABCD is Parallelogram Converse of opposite angle theorem
Answer:
The answer to your question is: -2
Step-by-step explanation:
Data
log₁₀(1/100) = ?
We need to find a number that when we elevate 10 to this number, we get 1/100.
As the result is a fraction, the number must be negative.
And as the result must be 100, we can look for a root of 100 that gives 10, that root is square root (2).