Answer:
2. 91/12 or 7+7/12
3. 3+14/27
4. 35 / 192
my answers were all wrong (idk how) the working isnt there, but these are right 100%, when you divide fractions you multiply by the reciprocal
The triangles ABC and DEC are similar triangles. We can prove this using the AA similarity theorem (angle A & angle D are congruent right angles; angle ACB & angle DCE are congruent vertical angles)
Because they are similar triangles, we can form the proportion below and solve for x to get...
AC/CD = BC/CE
2/5 = 3.61/x
2*x = 5*3.61
2*x = 18.05
2*x/2 = 18.05/2
x = 9.025
So EC is roughly 9.025 miles long
This means,
distance from Marc's house to Lewis's house = length of BE
distance from Marc's house to Lewis's house = (length of BC) + (length of EC)
distance from Marc's house to Lewis's house = (3.61) + (9.025)
distance from Marc's house to Lewis's house = 12.635
So the answer is choice D) 12.62 as this is the closest value to 12.635
Answer: C
Using 45-45-90 triangle theorem
Answer:
8 is your answer for x
Step-by-step explanation:
Note that this is an equilateral triangle, meaning that all of the sides are congruent. This means that all the angel measurements are congruent.
First, divide 180 with 3 (3 because there are 3 angles)
180/3 = 60
Each angle must equal 60. You are solving for x. Set the expression with x as the variable equal to 60
7x + 4 = 60
Isolate the x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 4 from both sides.
7x + 4 (-4) = 60 (-4)
7x = 60 - 4
7x = 56
Next, divide 7 from both sides.
(7x)/7 = (56)/7
x = 56/7
x = 8
8 is your answer for x.
~
Answer:
84.5
Step-by-step explanation:
Use trig functions to find x. Trig functions are special relationships which exits between the sides of right triangles. Since you need to find x the hypotenuse and you have the adjacent side to 77 degree angle use cosine.
Cos 77 = 19/x
0.22495 = 19/x
19/0.22495 = x
84.5 = x
