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erik [133]
2 years ago
11

Given two angles that measure 50 degrees and 80 degrees and side that measures 4 feet, how many triangles, if any, can be constr

ucted?
Mathematics
1 answer:
kirza4 [7]2 years ago
3 0
The angles are the only constraint here that counts.  If one of the three interior angles of a supposed triangle is 50 degrees and another is 80 degrees, then the third angle must be 50 degrees.  Thus, we have a 50-50-80 triangle, which is isosceles though not a right triangle.  If 4 feet is a measure of one of the equal sides of a supposed triangle, then obviously the adjacent side also has measure 4 ft.

The set of angles remains the same (50-50-80), but subject to the constraint mentioned above, the measure of any one of the sides has infinitely many possible values, so long as those values are positive.

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Please help me with this IXL! Thanks
vfiekz [6]
<h2>-0.71 is it i think so i dk </h2>
4 0
2 years ago
ACD is a triangle and B is a point on AC. AB = 8cm and BC is 6cm. Angle BCD = 48° and angle BDC = 50°. (a) Find the length of BD
FromTheMoon [43]

Answer:

  • 5.8206 cm
  • 10.528 cm
  • 23.056 cm^2

Step-by-step explanation:

(a) The Law of Sines can be used to find BD.

  BD/sin(48°) = BD/sin(50°)

  BD = (6 cm)(sin(48°)/sin(60°)) ≈ 5.82064 cm

__

(b) We can use the Law of Cosines to find AD.

  AD^2 = AB^2 +BD^2 -2·AB·BD·cos(98°) . . . . . angle ABD = 48°+50°

  AD^2 ≈ 110.841

  AD ≈ √110.841 ≈ 10.5281 . . . cm

__

(c) The area of ∆ABD can be found using the formula ...

  A = ab·sin(θ)/2 . . . . . where a=AB, b=BD, θ = 98°

  A = (8 cm)(5.82064 cm)sin(98°)/2 ≈ 23.0560 cm^2

_____

Angle ABD is the external angle of ∆BCD that is the sum of the remote interior angles BCD and BDC. Hence ∠ABD = 48° +50° = 98°.

5 0
3 years ago
the length of one leg of a right triangle is 20ft, and the length of the hypotenuse is 52 ft. What is the length of the other le
Dima020 [189]
A^2 + b^2 = c^2
20^2 = 400
52^2 = 2704
400 + b^2 = 2704
2704 - 400 = 2304
So you need the square root of 2304 which is 48 so the length of the other leg is 48 ft.

8 0
3 years ago
Find the measure of x and y (NO LINKS OR REPORT)
Alchen [17]

Answer:

y= 35

x=55

Step-by-step explanation:

   

8 0
2 years ago
To mix weed killer with water correctly, it is necessary to mix 30 teaspoons of weed killer with 5 gallons of water. Find how ma
nlexa [21]
Answer
6 Gallons



Each gallon of water needs 6 teaspoons because 30/5=6

Now we know that teaspoons/6=amount of gallons

36/6=6 gallons
7 0
2 years ago
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