Answer:
m<x = 48
m<y = 132
Step-by-step explanation:
Since x and y are supplementary angles, that means their sum is 180 degrees.
And we are given that y is 12 less than 3 times the measure of x. With this information we can make a system of linear equations.
x + y = 180
y = 3x - 12
So now plug in the value of y into the first equation.
x + y = 180
x + (3x - 12) = 180
x + 3x = 192
4x = 192
x = 48
And then plug this computed value of x back into the first equation to find the measure of y.
x + y = 180
48 + y = 180
y = 180 - 48
y = 132
So the measures of the angles are as follows:
m<x = 48
m<y = 132
Cheers.
Answer:
If m<1 = 38 then m<4 = 38
Step-by-step explanation:
Both of the angles equal 38 degrees. This is true because the angles are vertical, vertical angles are angles opposite each other where two lines cross. Vertical angles are also always congruent, therefore the m<4=38.
First you have to set up your equation. 5x+80 and x+15.
Answer:
The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.
Step-by-step explanation:
Given that:
The treatment group using Spray A reported a mean of 3.5 mosquito bites.
The treatment group using Spray B reported a mean of 5.6 mosquito bites.
After the data are re-randomized; the differences of the means are shown in the dot plot. The dot plot is attached in the file below;
The best conclusion that can be make based on the data from the dot plot is :
The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.