Answer:
<em>XY = 92 units</em>
Step-by-step explanation:
<u>Similar Shapes</u>
Two shapes are similar if all their corresponding side measures are in the same proportion.
The triangles UVW and YVX are similar because their side lengths are in the proportion 1:2, given the tick marks provided in the drawing.
This means that the measure of VX is twice the measure of VW,
The measure of YV is twice the measure of UV
The measure of XY is twice the measure of UW
This last proportion gives the equation:
z + 46 = 2z
Solving for z:
z = 46
Thus, XY = z+46 = 92
XY = 92 units
Answer:
The inequality is that the kid ate them all cause he was hungry.
Step-by-step explanation:
Cause I know BAM
The slope is -1/2. I know this because slope intercept of a line is y = mx + b. In the equation, y = -1/2 + 1/4, the slope is -1/2 and the y intercept is 1/4.
m stands for slope
b stands for y intercept
Answer:
-4
Step-by-step explanation:
Pick any two points, let's go with (-7, 21) and (-6, 17) to find slope:
slope m = (y₂ - y₁) / (x₂ - x₁)
= (17- 21) / (-6 - (-7))
= -4 / 1
m = -4
---Extra info---
y-intercept using anyone point, let's use (-5, 13) and slope above:
y = mx + b
13 = -4(-5) + b
13 = 20 + b
b = -7
Equation of line:
y = mx + b
y = -4x - 7
Check:
(-7, 21)
y = -4x - 7
21 = -4(-7) - 7
21 = 21
(-4, 9)
y = -4x - 7
9 = -4(-4) - 7
9 = 9
other points should check out as well...
Answer:
162 pups are on the beach
Step-by-step explanation:
9/20 of 360
The key word "of" tells us to multiply
Variable x = number of pups
9/20 × x/360
Cross multiply
9 × 360 = 20 × x
3,240 = 20x
Divide both sides by 20
162 = x
Check our work:
9/20 = 162/360
Cross multiply
9 × 360 = 20 × 162
3,240 = 3,240
Correct
