Answer:
Step-by-step explanation:
<u>Properties of a parallelogram</u>
- Two adjacent angles are supplementary
- Opposite angles are congruent
- Opposite sides are parallel and congruent
Use the properties to find the required parameters
1) <u>Find m∠YXV</u>
- m∠YXV + m∠VXW + m∠VWX = 180°
- m∠YXV + 40° + 84° = 180°
- m∠YXV = 180° - 124°
- m∠YXV = 56°
2) <u>Find m∠Y</u>
3) <u>Find x</u>
Answer:
-8 -6 -3 4
Step-by-step explanation:
In a number line, the numbers on the are lesser than the numbers on the right. In a number line with integers, numbers going to the right from the midline which is 0 is positive and increases as you move to the right. As you move to the left, the numbers are negative and decreases as you move further to the left.
Attached is a picture of how it would look on a number line.
Answer:
A
Step-by-step explanation:
Because if 1 gallon is equal to 4 quarts, multiply both numbers by 3, you'll have 3 gallons = 12 quarts.
Answer:
<em>x ∈ ( - ∞ , - 8 ) ∪ ( - 8 , 0 ) ∪ ( 0 , 8 ) ∪ ( 8 , ∞ ) </em>
Step-by-step explanation:
x³ - 64x = x( x² - 64 ) ≠ 0 ⇒ x ≠ 0 and x ≠ ± 8
<em>x ∈ ( - ∞ , - 8 ) ∪ ( - 8 , 0 ) ∪ ( 0 , 8 ) ∪ ( 8 , ∞ )</em>
She has 45% of the original amount left
<h3>Ratio and proportions</h3>
Fractions are written as a ratio of two integers
Given the following
Initial amount. = ∈4000
Amount given to her sister = 1/4 * 4000 = 1000
Amount given to her brother = 40% of 3000 = 1200
Amount left = 4000 - (1000+1200)
Amount left = ∈1800
Determine the percentage left
x * 4000 = 1800
x = 1800/4000
x = 0.45
x = 45%
Hence she has 45% of the original amount left
Learn more proportion here: brainly.com/question/19994681
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