Answer:
The first answer, 3 times the square root of x squared is correct.
Step-by-step explanation:
the easiest approach with a given point and the slope of the line is the point-slope form :
y - y1 = a(x - x1)
where "a" is the slope, and (x1, y1) is a point on the line.
so, we get
y - -8 = 4(x - -3)
y + 8 = 4(x + 3)
if we need the slope-intercept form
y = ax + b
we now simplify the point-slope form
y + 8 = 4x + 4×3 = 4x + 12
y = 4x + 4
You can use rounding to figure this problem out. If the number in the ones place is 0 to 4, round down to the nearest tens place; if the number in the ones place in 5 to 9, round up to the nearest tens place.
48 rounds to 50.
42 rounds to 40.
69 rounds to 70.
21 rounds to 20.
52 rounds to 50.
Now use mental math to estimate the cost (50 + 40 + 70 + 20 + 50). Heather will spend about $230.
Answer:
D) $230
<h3>
Answer: C) 136 degrees</h3>
The known acute angle of the triangle is 46 degrees, so the unknown acute angle of that triangle is 90-46 = 44 degrees. In other words, the two acute angles of any right triangle must add to 90, so 46+44 = 90.
The 44 degree angle is adjacent to angle ADC, and it adds to angle ADC to form 180 degrees.
If x is the measure of angle ADC, then
44+(angleADC) = 180
44+x = 180
x = 180-44
x = 136
angle ADC = 136 degrees
For any parallelogram, the opposite angles are always congruent. Therefore, angle ABC is equal to angle ADC = 136, making ABC = 136 as well.