It is given that line segment BC is congruent to line segment EC and that line segment AC is congruent to DC. Because of the vertical angles theorem, angle BCA is equal to angle DCE. Therefore, triangles CBA AND DEC are congruent by SAS. Using CPCTC, BA is equal to ED.
Answer:
17 3/4
Step-by-step explanation:
Equation: (92 - 3*7)/(7-3)
PEMDAS so parenthesis first. Then multiplication so 7 times 3 is 21. For 7 minus 3 would be four. Like this: (92-21)/4
Subtraction: 71/4
Answer: 17 3/4
Answer:
Step-by-step explanation:
The table shows a set of x and y values, thus showing a set of points we can use to find the equation.
1) First, find the slope by using two points and substituting their x and y values into the slope formula,
. I chose (-3, 13) and (0,17), but any two points from the table will work. Use them for the formula like so:

Thus, the slope is
.
2) Next, identify the y-intercept. The y-intercept is where the line hits the y-axis. All points on the y-axis have a x value of 0. Thus, (0,17) must be the y-intercept of the line.
3) Finally, write an equation in slope-intercept form, or
format. Substitute the
and
for real values.
The
represents the slope of the equation, so substitute it for
. The
represents the y-value of the y-intercept, so substitute it for 17. This will give the following answer and equation:

They will need 3 cars, but one of the cars will be having 3 passengers instead of 4. :)
Answer:
X = 7.2
Step-by-step explanation:
Hello
For the triangle of right side, using Pytagoras:
(2.5)^2 + b^2 = 6^2
6.25 + b^2 = 36
b^2 = 36 - 6.25
b^2 = 29.75
b = 5.45
Now we can to find X using again Pytagoras:
3^2 + (5.45)^2 = x^2
9 + 29.75 = x^2
38.75 = x^2
X = 7.2
Best regards