Answer: m∠1=42°
Step-by-step explanation
For this problem, we can separate the triangle into 2 separate triangles to solve for m∠1.
We know that m∠4 is 106°. ∠2 and ∠4 are supplementary angles. You can see that they make a straight line of 180°. We can use this fo find ∠2.
∠2+∠4=180
∠2+106=180
∠2=74°
Now that we know ∠2 is 74°, we can use that to solve for m∠1.
We know that the measures of the angles in a triangle equal to 180°. For the triangle at the bottom, we see ∠3, ∠2, ∠1. Since we know ∠3 and ∠2, we can find ∠1.
∠3+∠2+∠1=180
64+74+∠1=180
138+∠1=180
∠1=42°
Answer:
3x - 10 = 8
Step-by-step explanation:
Let's reconsider the wording of this problem.
"Ten less than the quotient of a number and
3 is 8."
From less, we can assume 10 is being subtracted from something.
We have:
-10
Next, we know that the quotient is the sum of a multiplication problem. So, we know 3 has to be multiplied by something. We can see that the text says 'a number'. If they don't give us the value we can guess that it is the variable x.
Now:
3x - 10
From 'is 8' we know that must be the final sum of the equation.
Finally:
3x - 10 = 8
Answer:
the third one is your answer
Step-by-step explanation:
Hello!
This question is about which values you are changing when you are transforming an equation.
Let's go through the parent function for an absolute value equation and its various transformations.
Since we are only looking at horizontal and vertical transformations, we only need to worry about the c and d values.
The c value of a function determines a function's horizontal position, and the d value of a function determines a function's vertical position.
One thing to note here is that the c value is being subtracted from the x value, meaning that if the function is being transformed to the right, you would actually be subtracting that value, while the d value behaves like a normal value, if it is being added, the function is transformed up, and vice versa.
Now that we know this, let's write each expression.
a) 
b) 
c) 
d) 
Hope this helps!
