Answer:
A.) 101
B.) 121
Step-by-step explanation:
If two angles are supplementary, that means they add up to 180 degrees. If you have an angle, and want to find it's supplement, you would subtract the given angle from 180.
180 - 79 = 101
180 - 59 = 121
Hope this helps!
Answer: the perimeter of the shape is 19.1
Step-by-step explanation:
To determine the length of each side of the quadrilateral, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side
For line AD,
AD² = 2² + 4² = 4 + 16 = 20
AD = √20 = 4.47
For line AB,
AB² = 1² + 5² = 1 + 25 = 26
AB = √26 = 5.1
For line BC,
BC² = 2² + 4² = 4 + 16 = 20
BC = √20 = 4.47
For line CD,
CD² = 1² + 5² = 1 + 25 = 26
CD = √26 = 5.1
The perimeter of a plane figure is the distance around the figure. Therefore
Perimeter = AB + AB + BC + CD
Perimeter = 4.47 + 5.1 + 4.47 + 5.1 =
19.1
Using the percentage concept, it is found that 40% of Alberto’s income is used to pay for his rent and groceries.
<h3>What is a percentage?</h3>
The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

In this problem:
- Alberto’s monthly income is $3,200, hence b = 3200.
- He spends 896 + 384 = $1280 in rent and groceries, hence a = 1280.
Then, the percentage is given by:

More can be learned about the percentage concept at brainly.com/question/10491646
So we know that the dice had 6 numbers which is 1 to 6, and we know that the odd number between 1 and 6 is 1,3,5. As a result, the probability of rolling an odd number on a fair die is 3/6 or 1/2, and we already know that probability of flipping a tail on a coin is 1/2, so I just take 1/2 times 1/2 to get 1/4 which is C. Hope it help!