Answer:
Step-by-step explanation:
Angle <em>b</em> and 135° form a <em>linear pair</em>, so when summing them up to 180°, you will have 45° left over:
Now, by the <em>Vertical</em><em> </em><em>Angles</em><em> </em><em>Theorem</em>, angle <em>a</em> and 70°, in this case, are to be in <u>congruence</u> with each other, so you have that.
Now you must find the the measure of angle <em>c</em> sinse you have already found the measure of two angles already:
I am joyous to assist you at any time.
Answer:
The home printer is faster.
Step-by-step explanation:
25 photos in 12.5 minutes
12.5 is half of 25 and therefore this is a two to one ratio.
So 2 photos print in 1 minute with the office printer.
And 4 photos in 2 minutes(this is relevant later)
The home printer prints 15 photos in 6 minutes. Since 15 is not divisible by 6 without a remainder divide both by 3.
So 5 photos in 2 minutes. This is faster than the office printer.
To find how many photos it would print in 12 more minutes, simply multiply 15 by two, since the minutes(6) was multiplied by 2 to get 12. This leaves you with an answer of 30 photos in 12 minutes
Answer:
1,498,454,000 sq. miles
Step-by-step explanation:
Volume of a sphere = 4/3 (3.14) r^3
So since the diameter is 1420 miles, the radius would be half.
V = 4/3 x (3.14) x 710^3
V=4.18666667 x 357,911,000
V = 1,498,454,054.5 but if you want it rounded to the nearest thousand then it'd be 1,498,454,000.
Answer:
.....
Step-by-step explanation:
Let's start by grouping like terms so we can factor out the most
(4x^4+24x^3)+(12x^2+8x)
now let's factor out as much as possible. we see all coefficients are multiples of 4, we will also factor out as high a degree of x as we can
4x^3(x+6)+4x(3x+2)
now we see that we still have a common multiple of 4x that we can remove
4x(x^2(x+6)+(3x+2))
so we find 4x is the largest value we can factor out
