Answer:
<3=75°
Step-by-step explanation:
Angle 3 and angle 2x+95 are supplementary( supplementary angles add up to 180°)
So <3+2x+95=180
<3+2x=180-95
<3+2x=85( let's call this equation 1)
Next, angle 5 and angle 8x+71 are opposite angles (opposite angles are equal) therefore <5=8x+71
Now, <3 and <5 are co-interior angles(co-interior angles are supplementary)
So <3+8x+71=180
<3+8x=180-71=109
Thus, <3+8x=109(let's call this equation 2)
Now solving equation 1 and 2 simultaneously:
Make <3 the subject of equation 1
<3=85-2x
Put <3=85-2x into equation 2
85-2x+8x=109
6x=24
x=24/6=4
Now, remember that angle 2x+95 becomes
2(4)+95
8+95=103°
Therefore<3=180-105=75°
( 23 * 432) / 43 * 249 + 236 =
2484212/43 =
57772.372093 :)
What a coincidence that I just did this in my math class today. A function is a relation in which no 2 different ordered pairs have the same first coordinate. They are allowed to have the same second coordinate. So the third option is correct.
Answer:
2/11 = 0.181818...
D. is your repeating decimal.
The amount that will be saved yearly oh the utility bills will be $65 each year.
<h3>How to calculate the amount of utility saved</h3>
From the information given, the cost per load on hot wash is given as 71 cents per load and the cost of warm wash is given as 25 cents per load.
Therefore, the yearly cost for hot wash will be:
= 71 cents × 365
= 25915 cents
In this case, she cuts down the amount of laundry that she does in hot water to one-half will be:
= 25915 cents × (3/4 - 1/2)
= $259.15 × 0.25
= $65
In conclusion, the correct option is $65.
Learn more about utility on:
brainly.com/question/24719924