Answer:
x = 85°
Step-by-step explanation:
Because the sum of the angles in a triangle is 180°, we can find ∠CDB.
180° - ∠CBD - ∠BCD = ∠CDB.
180° - 35° - 50° =
180° - 85° =
95°
So, ∠CDB is 95°
Then, because a line has 180°, we can find ∠CDA.
180° - ∠CDB = ∠CDA.
180° - 95° = 85°
So, x = 85°
Answer:
you would find the slope from the midpoint to the endpoint and apply that to the other side, don't know exactly what the coordinates are.
Step-by-step explanation:
If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.
So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.
This means that the perimeter is
feet long. But we know that this is 510 feet, so we have
.
So, the three sides are 110, 160 and 240 feet long.
To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if 
is half the perimeter of the triangle whose sides are 
, the area 
is given by
In our case, 
so the formula becomes
Answer:
<em>A = 70</em>
Step-by-step explanation:
<em>CB </em>is equal to <em>EZ </em>and <em>E </em>equals 35, and <em>E </em>and <em>C </em>are the same, therefore, both <em>E </em>equals 35. Since there's 180 degrees in a triangle, and <em>ABY </em>equals 105, you have to subtract 180 - 105 to get the other angle. When you do that, you get that <em>B </em>equals 75. You have to add <em>E </em>and <em>B</em> (35 + 75), since that's in the same triangle as <em>A. </em>When you do that, you get 110. Subtract 180 - 110 to get <em>A, </em>which is 70.
