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 )
Answer:
118
Step-by-step explanation:
Mode refers to a value that appears most frequently in a data set.
For example the mode in the data set below is 3 :
1, 2,3 4,3,3,9,10
3 is the mode because it appears 3 times while others appear once in the data set while the other values appear only once.
Mode is a measure of central tendency
118 appears 3 times while others appear once so it is the mode
The function is computed below based on the information. The answers will be:
1. -11
2. -1
<h3>How to compute the function?</h3>
f(x) = x²-11x+28
g(x) = x-4
(f+g)(-5) = (-5² - 11 × 5 + 28) + (-5 - 4)
= 25 - 55 + 28 - 9
= -11
(f-g)(5)
= = (5² - 11 × 5 + 28) + (5 - 4)
= 25 - 55 + 28 + 1
= -1
Learn more about functions on:
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Louise’s answer is not correct. She is missing the term 30x3. When squaring a binomial, it is best to write the product of the binomial times itself. Then you can use the distributive property to multiply each term in the first binomial by each term in the second binomial. Louise also could have used the formula for a perfect square trinomial, which is found by squaring a binomial.
Answer:
x=20
Step-by-step explanation:
These angles are vertical angles so they are equal.
7x-99 = 2x+1
Subtract 2x from each side
7x-2x -99 = 2x-2x+1
5x -99 =1
Add 99 to each side
5x-99+99 = 1+99
5x = 100
Divide each side by 5
5x/5 =100/5
x = 20
