Their monthly income is 4,650.
Multiply that by 12 to find the yearly income:
4650 x 12 = $55,800
Based on the yearly income the answer is D. Virginia or Texas
Carlos is correct
Since we don't know the length of sides PR and XZ, the triangles can't be congruent by the SSS theorem or the SAS theorem, and since we don't know the measure of angles Y and Q, the triangles can't be congruent by the ASA theorem, the SAS theorem or the AAS theorem. Therefore, Carlos is correct.
Carlos is correct. Since the angles P and X are not included between PQ and RQ and XY and YZ, the SAS postulate cannot be used, since it states that the angle must be included between the sides. Unlike with ASA, where there is the AAS theorem for non-included sides, there is not SSA theorem for non-included angles, so the triangles cannot be proven to be congruent.
Answer:
144
Step-by-step explanation:
180 - 36 = 144
Answer:
3x^6 - 4x^5 + 2x^4
Step-by-step explanation:
Given
-5x^4 ( -3x^2 + 4x - 2)
Step 1 : open the bracket with -5x^4
-5x^4 * -3x^2= 15x^6
Hint: - * - = +
x^4 * x ^2 = x^ 4+2 = x^6
-5x^4 * + 4x = - 20x^5
Hint: - * + = -
x^4 * x = x^4 + 1 = x^5
(x is always raise to the power of 1 but we don't write it or less it is greater than 1 e.g. 2 , 3 ,4, ..........)
-5x^4 * -2 = 10x^4
Hint: - *- = +
Let's combine the answers
15x^6 - 20x^5 + 10x^4
We can look for a factor that can go through as in that can divide all without a reminder
Factors of
15 - 3 * 5
1 * 15
20 - 4 *5
2 *10
1 * 20
10 - 2*5
1 * 10
Since the factor of 5 is common in all, so we are using 5 to divide through
15x^6 - 20x^5 + 10x^4
Using 5 to divide through
15x^6 / 5 - 20x^5 / 5 + 10x^4 / 5
= 3x^6 - 4x^5 + 2x^4
