Step-by-step explanation:
PART 1:
on the graph you can make a triangle at any point and with any angle measures.
i recommend a smaller right triangle to be easiest.
i recommend the points (0,3) A (3,0) B and (0,0) C
∆ABC angle measurements:
m∠CAB=45°
m∠ABC=45°
m∠ACB=90°
PART 2:
(4,3) D (7,0) E and (4,0) F make an identical right triangle moved 4 squares to the right
m∠FDE=45°
m∠DEF=45°
to find the missing value of the angle EFD we will use subtraction and addition
180-(45+45)
180-90
90
therefore, the m∠EFD=90°
PART 3:
both the angle measures and the shapes of the triangles are the same
PART 4:
i used a 1:1 ratio
sorry for the wait :)
Answer:
x+6
Step-by-step explanation:
5x-3(x-2)-x
Distribute the -3
5x -3x +6 -x
Combine like terms
5x -3x -x +6
x+6
Answer: How do you find you four consecutive odd integers such as three times the sum of the first and the second is 15 less than the fourth?
Step-by-step explanation: So, the normal consecutive integers numbers are: 2,3,4,5. And the even consecutive integers numbers are: 2,4,6,8. And the odd consecutive integers are: 3,5,7,9. Consecutive integers formula are the algebraic representations of the consecutive integers. The formula to get a consecutive integer is n + 1.
Same as above, 7 is one of 4 consecutive integers, then the result is only 4 cases:
, 5, 6, 7
, 6, 7, 8
, 7, 8, 9
, 8, 9, 10
Hope this helps.
Answer:
The southern lighthouse is 3.4 miles closer than the northern lighthouse
Step-by-step explanation:
From the figure we see that we need to find the distances AK and BK.
The measure of the third angle K is = 180- 25-35= 120 degrees
Using the sine ratios we can find the two distances
From the figure
The northern distance is given by
20/ sin 120 = kA/ sine 35
KA= 20 sine 35/ sine 120
KA= 13.25 miles
The southern distance is given by
20 /sine 120= KB / sine 25
20 sine 25/ sine 120 = KB
KB= 9.759=9.76 miles
Difference between the two miles =
13.25 miles - 9.76 miles = 3.49 miles
The southern lighthouse is 3.4 miles closer than the northern lighthouse
Option C is correct
