4x = -60 - 19y
-7x = -48 - 19y
Subtract the bottom equation from the top:
4x + 7x = -60 + 48 - 19y + 19y
Simplify:
11x = -12 -0y
11x = -12
Divide both sides by 11:
11x/11 = -12/11
Simplify:
x = -12/11
Then plug in x to solve for y:
4(-12/11) = -60 - 19y
Simplify:
-48/11 = -60 - 19y
Add 60 to both sides (keep in mind 60 = 660/11):
-48/11 + 660/11 = -60 + 60 - 19y
Simplify:
612/11 = 0 - 19y
612/11 = -19y
Divide both sides by -19 (keep in mind that dividing by -19 is the same as multiplying by -1/19):
612/11 • -1/19 = -19y/-19
Simplify:
-612/209 = y
y = -612/209
So, the answer is: (-12/11, -612/209)
Answer:
"The sum of two rational numbers is rational."
By definition, a rational number can be expressed as a fraction with integer values in the numerator and denominator (denominator not zero). So, adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication. Thus, adding two rational numbers produces another rational number.
3^3 = 3 * 3 * 3 = 27
4^3 = 4 * 4 * 4 = 64
5^3 = 5 * 5 * 5 = 125
6^3 = 6 * 6 * 6 = 216
Relative frequency = (number of times an item appears) /(TOTAL numbers)
Relative frequency (selecting Red ) = 13/30 =0.434
Answer:
<em>Measure of one of the interior angles ⇒ 90°</em>
Step-by-step explanation:
If we are considering a regular polygon, all sides are ≅, respectively all angles are ≅ as well;
Now any quadrilateral has total interior angle measure of 360 degrees, provided they each can be split into two triangles and hence knowing a triangle is 180 degrees each, ⇒ 180 * 2 = 360°;
So if all these angles are ≅, we can claim that;
m∠ 1 = m∠ 2 = x = m∠ 3 = m∠ 4, where ∠1, 2, 3, and 4 are interior angles
x + x + x + x = 360 degrees ( ° ),
4x = 360°,
x = 90° = m∠ 1 = m∠ 2 = m∠ 3 = m∠ 4,
<em>Solution; Measure of one of the interior angles⇒ 90°</em>