Given :-
- Two triangles with their two angles equal .
To Find :-
Answer :-
Here in ∆ABC and ∆EDC ,
CAB =
CED (given )-
CBA =
CDE (given)
Therefore by AA similarity criterion , we can say that ∆ABC ~ ∆EDC . Also we know that corresponding sides of similar triangles are proportional . So ,
→ AC/EC = BC/DC
→ AC/9 = 8/12
→ AC = 8/12 * 9
→ AC = 6
<u>Hence</u><u> the</u><u> </u><u>measure</u><u> of</u><u> </u><u>side </u><u>AC </u><u>is </u><u>6</u><u> </u><u>.</u>
I hope this helps.
Multiply 8cm by 4cm.
( 8 x 4 = ? )
8 x 4 = 32 because ( 8, 16, 24, 32)
Half it. Which then gives you 16.
=16
(a) What is the rate of change for each function? Show your work.function 1
Function 1 can be graphed and is given by the following line
y = 2x - 1
the slope of the line in this case is m = 2
Function 2
For this case you get the slope as follows
m = (y2-y1) / (x2-x1)
choosing two points and substituting
m = ((0) - (4)) / ((- 1) - (0)) = 4
(b) Which function has the greatest rate of change?
Function 2 has the greatest rate of change
m = 4
Answer:
a = 40
Step-by-step explanation:
This is a multi-step equation using the distributive property and rational coefficents (fractions). The first step is to complete the distributive property on both sides of the equation and multiply each term in the expression in parenthesis by the constant on the outside. (3/4 x 2a) - (3/4 x 6) +1/2 = (2/5 x 3a) + (2/5 x 20). When we multiply and simplify, we get 3/2a - 9/2 + 1/2 = 6/5a + 8. Next step is to combine like terms: 3/2a - 8/2 = 6/5a +8. We then need to isolate the variable by using inverse operations: 3/10a = 12, then solve for 'a' by multiplying both sides by the reciprocal (10/3) to get a = 40.