The interior angles of a parallelogram will always equal 360. The interior angles of a triangle are 180 if it is a equilateral triangle then the angles are 60 degrees each. You know 2 sides of parallelogram. The 100 degree and 90 degree. You can find the one opposing the x because it’s on a straight line and a straight line is 180 degrees if a triangle is 60 degree angle then the opposing angle to complete the straight line must be 180-60 so you get 120. You now know 3 sides. 120, 90 and 100
They should add up to be 360 so you can set up an equation like so
120+90+100+x=360
And x = 50
Answer:
1.Jose received 5/9×P450=P250
2.A dozen =12
12/3=4×165=660
3.40/1002/5
4. 100/60×9=15
5. 60/100×40=24
Answer:
y = 5cos(πx/4) +11
Step-by-step explanation:
The radius is 5 ft, so that will be the multiplier of the trig function.
The car starts at the top of the wheel, so the appropriate trig function is cosine, which is 1 (its maximum value) when its argument is zero.
The period is 8 seconds, so the argument of the cosine function will be 2π(x/8) = πx/4. This changes by 2π when x changes by 8.
The centerline of the wheel is the sum of the minimum and the radius, so is 6+5 = 11 ft. This is the offset of the scaled cosine function.
Putting that all together, you get
... y = 5cos(π/4x) + 11
_____
The answer selections don't seem to consistently identify the argument of the trig function properly. We assume that π/4(x) means (πx/4), where this product is the argument of the trig function.
Answer:
larger number = 35
smaller number = 26
Step-by-step explanation:
let larger number be x
and another ( x-9 )
so, x+x-9=61
2x = 70
x = 35
smaller number = 35 - 9
= 26
Answer:
$
or ≈$
Step-by-step explanation
The question states that Mrs. Hadley spent $126.97 on one month, $237.81 on the next, and $198.42 on the last. To get the total, we can add these values together.

An estimation would be:

We can use this estimation to determine that the total value is reasonable.