Answer:
m<1 = 39
m<2 = 51
Step-by-step explanation:
For this problem, you need to understand that a little square in the bottom of two connecting lines represents a right-angle (an angle this 90 degrees). This problem, gives you two relationships for angle 1 and angle 2 within a right-angle. Using this information, we can solve for the measures of the two angles.
Let's write the two relations:
m< 1 = 3x
m< 2 = x + 38
And now let's right an equation that represents the two angles to the picture:
m<1 + m<2 = 90
Using this information, let's substitute the expressions we have for the two angles and solve for x. Once we have the value of x, we can find the measure of the two angles.
m< 1 + m< 2 = 90
(3x) + (x + 38) = 90
3x + x + 38 = 90
x ( 3 + 1 ) + 38 = 90
x ( 4 ) + 38 = 90
4x + 38 = 90
4x + 38 - 38 = 90 - 38
4x = 90 - 38
4x = 52
4x * (1/4) = 52 * (1/4)
x = 52 * (1/4)
x = 13
Now that we have the value of x, we simply plug it back into our expressions for the m<1 and m<2.
m<1 = 3x = 3(13) = 39
m<2 = x + 38 = 13 + 38 = 51
And we can verify this is correct with the relational equation:
m<1 + m<2 = 90
39 + 51 ?= 90
90 == 90
Hence, we have found the values of m<1 and m<2.
Cheers.
Answer:
6.29
Step-by-step explanation:
so you know that the unknown side which is 7x + 27 equals 71.
You can begin by subtracting 27 from 71 which will give you 44.
you then know that 44 = 7x
then you just have to do 44 divided by 7 to find x which isss...
look above at answer
Answer:
For a sale value greater than $7200 the plan a is profitable.
Step-by-step explanation:
Let us assume for a sale of $x, Chris will choose plan a.
Now, in plan a, a commission of 8% of sales and $370 per month, is the salary.
So, for a sale of $x the salary is $(370 + 0.08x) per month.
And, in plan b, a commission of 3% of sales and $730 per month, is the salary.
So, for a sale of $x the salary is $(730 + 0.03x) per month.
Now, for selecting plan a, the condition is
(370 + 0.08x) > (730 + 0.03x)
⇒ 0.05x > 360
⇒ x > 7200
Therefore, for a sale value greater than $7200 the plan a is profitable. (Answer)
It should take 1.75 minutes to run it 1.5 times
that is 1 and 3/4 minutes
1700÷40= 42.5
step one: you divide 40 into 1700
step two: you find the closest number that goes into 1700 which is 4 so 40×4= 160
step three: then you subtract 1700 from 160 and you'll get 100
step four: then you'll find the closest number that goes into a 100 and that will be 2 so 40×2=80
step 5: you'll then subtract 100 from 80 and you'll get 20
step 6: you when then add a decimal and add an extra 0 to 1700 so you will now have 17000 you will bring down the 0 to make 20 into 200 and you will find the closest number that will go into 200 which will be 5 cause 40×5= 200 so you're answer will be 42.5units
