A triangle's angle measures add up to 180°.
67 + 90 = 157
180 - 157 = 23
The last angle measure is 23°.
The longer the side length, the larger the angle opposite it is. And vice versa. The shorter the side length, the smaller the angle opposite it is.
Side Length: ∠ Measure Opposite Side:
5 in 23°
12 in 67°
13 in 90°
Answer:
Step-by-step explanation:
We can treat an inequality just the same as an equality in terms of manipulation!(This doesn't hold for multiplying or dividing by negative numbers, but it holds for all addition).
So, we can add 
to both sides of the inequality to get 
.
We can simplify 
into 
, and 
into 
.
So, the answer is 
and we're done!
1 in. = 25 ft.
12.5 in. = ___ft
25/1=25
12.5*25=312.5
So the answer to your question is 312.5 feet.
Hope this helps! :)
Answer:
Correct option is A
Since it is an equilateral triangle, the lengths of the sides are equal
So, x+3 y=3 x+2 y−2=4 x+
2
1
y+1
x+3 y=3 x+2 y−2
y=2 x−2
2 x−y=2 ...(1)
Also, 4 x+
2
1
y+1=x+3 y
8 x+y+2=2 x+6 y
6 x+2=5 y
6 x−5 y=−2 ...(2)
Multiplying e q(1) by 5 we get,
10 x−5 y=10 ...(3)
Subtracting e q(2) from e q(3) we get,
4 x=12⇒x=3
y=2 x−2=4
The length of one side of equilateral triangle = x+3 y =3+3(4)=15 units
Answer:
x ≈ 80.4
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan15° = 
= 
( multiply both sides by 300 )
300 × tan15° = x , then
x ≈ 80.4 ( to the nearest tenth )
