Answer:
-24 + 12d = 2(d - 3) + 22
-24 + 12d = 2d - 6 + 22
-24 + 12d = 2d + 16
12d = 2d + 40
10d = 40
d = 4
Step-by-step explanation:
9514 1404 393
Answer:
Step-by-step explanation:
Compare the given equation to ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
You find that k = -5, m = 1/2, h = -12.
The point is (h, k) = (-12, 5). The slope is m = 1/2.
Answer:
3/16
Step-by-step explanation:
By drinking 3/8 liters of 1/2 liter juice it means the question tests the ability to multiply fractions. Since she drank 3/8*1/2=3/16
We multiply the numerators and denominators separately ie 3*1/(8*2)=3/16
Therefore, Alisa consumed 3/16 or 0.1875 or 18.75% of the juice.
Since the question was in fractional form, it is prudent to also express answer in fractions hence the right answer is 3/16
Answer A. 15 glad to help
The correct question is
The hypotenuse and one of the legs of a right triangle form an angle that has a cosine of √<span>2/2 .
What is the measure of the angle?
Let
</span>∅--------> the angle
cos ∅=√2/2<span>
cos </span>∅=[distance of one of the leg/hypotenuse]
[distance of one of the leg/hypotenuse]=√2/2
<span>I could say that
</span>distance of one of the leg=√2
and
hypotenuse=2
so
<span>applying the Pythagorean theorem
</span>c=hypotenuse=2
a=√2
b=?
c²=a²+b²-------> b²=c²-a²------> b²=2²-(√2)²-----> b²=2-----> b=√2
therefore
if a=b
then
the angle ∅=45°
the answer is the option
<span>b.45 degrees</span>
