Answer:
Hope the below answer is easy to understand
Step-by-step explanation:
1) Given the four angles of a quadrilateral are in the ratio 1:2:3:4
Then Let the angles are x,2x,3x and 4x
We know that total of four angles of a quadrilateral =360 °
∴x+2x+3x+4x=360 °
⇒10x=360 °
⇒x=36 °
hence the measures of angles are 36 ° ,72 ° ,108 ° ,144 °
2) Measure of interior angle of a polygon= 180°.
Sides of the polygon = 7 sides
Therefore,
Interior angle of the polygon having 7 sides = 180/7 = 25 5⁄7°
1. This probability is 1/2*1/2=1/4, or 0.25.
2. There are three ways to do this: draw two 2s, a three then a two, or a two then a three. So our probability is 3/16=.1875.
3. We already calculated the probability that the sum is less than 6. Using similar methods, we calculate that there are three ways for a sum to be greater than 8, so our probability is 6/16=0.375.
The variables are
- x = number of mini hot dogs.
- y = number of mozzarella sticks.
And the system of equations is:
x*60 + y*70 = 1080
x = y + 5
<h3>
How to write the system of equations?</h3>
First, we need to define the variables that we will use on our system.
- x = number of mini hot dogs.
- y = number of mozzarella sticks.
We know that each hot dog has 60 calories and each mozzarella stick has 70 calories, and the total number of calories is 1080, then the first equation of our system is:
x*60 + y*70 = 1080
We also know that there are 5 more mini hot dogs than mozzarella sticks, then the second equation is:
x = y + 5
Then the system of equations that models the given situation is:
x*60 + y*70 = 1080
x = y + 5
Learn more about systems of equations:
brainly.com/question/13729904
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Answer:
Hi!
The correct answer is d) 1 over 15 minus 1 over x equals x over 35.
Step-by-step explanation:
We know the amount of time that Byron can fill a drying rack with dishes: 15 minutes.
We know the amount of time that Byron can fill a drying rack with dishes while Emmitt is taking dishes out of the drying rack: 35 minutes.
We don't know the amount of time that Emmitt can take dishes out of the drying rack: x minutes.
So, if Byron is filling the drying rack in 15 minutes and Emmitt is taking out the dishes at x minutes, it takes 35 minutes to fill the drying rack.
<em>// multiply by 105x both sides.</em>
<em>// simplifly</em>
<em> //substract 3x and add 105 in both sides</em>
<em>// solve</em>
<em>//</em> <em>divide by 4 in both sides</em>
<em>// solve</em>
It makes sense that Byron fills the rack faster than Emmitt empties the rack.
