Answer:
Hello your question is incomplete attached below is the complete question
Given: wxyz is a parallelogram, zx ≅ wy prove: wxyz is a rectangle what is the missing reason in step 7? a. triangle angle sum theorem. b. quadrilateral angle sum theorem. c. definition of complementary. d. consecutive ∠s in a ▱ are supplementary. 1. wxyz is a ▱; zx ≅ wy 1. given 2. zy ≅ wx 2. opp. sides of ▱ are ≅ 3. yx ≅ yx 3. reflexive 4. △zyx ≅ △wxy 4. sss ≅ thm. 5. ∠zyx ≅ ∠wxy 5. cpctc 6. m∠zyx ≅ m∠wxy 6. def. of ≅ 7. m∠zyx + m∠wxy = 180° 7. ? 8. m∠zyx + m∠zyx = 180° 8. substitution 9. 2(m∠zyx) = 180° 9. simplification 10. m∠zyx = 90° 10. div. prop. of equality 11. wxyz is a rectangle 11. rectangle ∠ thm.
answer: consecutive angles of any parallelogram are supplementary
Step-by-step explanation:
The missing reason in step 7 is : consecutive angles of any parallelogram are supplementary i.e. m∠ZYX + m∠WXY = 180°
<u>Reason </u>: ZY || WX also XY is the transversal line hence ∠wyx and ∠wxy are the consecutive angles on lines ZY and WX therefore m∠ZYX + m∠WXY = 180° ( sum of consecutive angles )
x=84
Add up all the sides and then subtract that number by the original amount of degrees. 540
♡Let's solve this Step-By-Step!♡
♡Here is the question you asked:
4/7y-2= 3/7y+ 3/14
♡<span>Subtract 3/7y from both sides:
</span><span><span><span><span>4/7</span>y</span>−2</span>−<span>3/7y</span></span>=<span><span><span><span>3/7</span>y</span>+<span>3/14</span></span>−<span>3/7y
</span></span><span><span><span>1/7</span>y</span>−2</span>=<span>3/<span>14
</span></span> ♡<span>Add 2 to both sides:
</span><span><span><span><span>1/7</span>y</span>−2</span>+2</span>=<span><span>3/14</span>+2
</span><span><span>1/7</span>y</span>=<span>31/<span>14
</span></span>♡<span>Multiply both sides by 7:
</span><span>7*<span>(<span><span>1/7</span>y</span>)</span></span>=<span>7*<span>(<span>31/14</span><span>)
</span></span></span>
♡Your answer is:
y=<span>31/2
</span>♡I hope this helps!<span>♡</span>
An irrational number is a real number that can't be written as a fraction: since all rational numbers (
) are real numbers (
), the irrational numbers are all elements in
that don't belong to
.
The rational numbers are closed with respect to sum and multiplication, which means that the sum/product of two rational numbers is a rational number.
Note that, of all the options, only
is irrational, because the other options are

so they all can be written as fraction. This means that

are all rational numbers, because they are the multiplication of two rational numbers.
So, your only hope to get an irrational number is to multiply

Expression 2 works exactly in the same way, because everything we said about the product is true for the sum as well.