Answer:
a) 16.25 centimeters
b) 6.8 centimeters
Step-by-step explanation:
We can set up a proportion for both of these problems.
a) Look at the longest side of each triangle. We can set up a fraction: 7.2/18. We can also set up a fraction for XZ and PR:
6.5/x
x represents the length you're trying to find.
Since the triangles are similar, we have an equation:
7.2/18=6.5/x
Cross multiply
16.25
XZ is 16.25 centimeters long.
b)
We can do same thing:
7.2/18=x/17
Cross multiply
6.8
QR is 6.8 centimeters long.
Hope this helps!
Answer:
x = -1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−46+23=46x+23
(−46+23)=46x+23(Combine Like Terms)
−23=46x+23
−23=46x+23
Step 2: Flip the equation.
46x+23=−23
Step 3: Subtract 23 from both sides.
46x+23−23=−23−23
46x=−46
Step 4: Divide both sides by 46.
46x/46 = -46/46
A method that always works is to find the slope of the given line, then find the negative reciprocal of that. Your result will be the slope of the perpendicular line. Using this slope and the given point, fill in the parameters of the point-slope form of the equation of a line.
For m = slope of given line and (h, k) = given point, the perpendicular line will be
y = (-1/m)(x -h) +k
Often, this equation can be simplified to another appropriate form, such as slope-intercept form (y = mx+b) or standard form (ax+by=c).
_____
The slope of a given line can be found by solving its equation for y. The slope is the coefficient of x in that solution. If the given line is characterized by two points, (x1, y1) and (x2, y2), then its slope is m = (y2-y1)/(x2-x1).
In the unusual case where the given line is vertical (x=<some constant>), the slope of the perpendicular line is zero, and the line you want becomes y=k.
The answer would be 200,000.
This is because you go to the hundred thousands' place and look one place to the right. Since there is a 6 and 6>5 you round up to 2 making it 200,000. Hope this helps!
Answer:
Merry Christmas to you too
Explanation:
