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Xelga [282]
3 years ago
12

Find the measure of <1. A) 104 degrees, B) 76 degrees , C) 38 degrees Help due in 5 minutes

Mathematics
1 answer:
Annette [7]3 years ago
3 0
It’s c because the triangle is a isosceles triangle meaning both base angles are the same! So a triangle equals 180°. So you subtract 104 from 180. Then divide it by 2 since the base angles are the same

180-104= 76

76/2=38°
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A triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of lengths 3, 4, and 5. What
krok68 [10]

The area of the required triangle is <u>9/π²(3  + √3)</u> sq. units.

In the question, we are given that a triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of lengths 3, 4, and 5.

We are asked for the area of the triangle.

Now, the circumference of the circle = 3 + 4 + 5 = 12 units.

The formula for the circumference is 2πr, which gives is:

2πr = 12,

or, r = 6/π.

The length of the arcs are proportional to its central angle, making the angles: 3θ, 4θ, and 5θ, which needs to sum up to 360°, giving us θ = 360°/12 = 30°.

Thus, the three arcs subtends angles of θ₁ = 3θ = 90°,θ₂ = 4θ = 120°, and θ₃ = 5θ = 150°.

The area of the circle can be calculated as:

Area = (1/2)r² sin θ₁ + (1/2)r² sin θ₂ + (1/2)r² sin θ₃ = r²/2(sin θ₁ + sin θ₂ + sin θ₃).

Substituting the values, we get:

Area = 36/2π²(sin 90° + sin 120° + sin 150°),

or, Area = 36/2π²( 1 + √3/2 + 1/2),

or, Area = 9/π²(3  + √3).

Thus, the area of the required triangle is <u>9/π²(3  + √3)</u> sq. units.

Learn more about a triangle at

brainly.com/question/13734546

#SPJ4

5 0
1 year ago
PLEASE HELP ASAP!!!!​
Elodia [21]

Answer:

I think its D? I'm not sure sorry if I get it wrong

7 0
2 years ago
Read 2 more answers
License plates are made using 2 letters followed by 3 digits. how many plates can be made ifrepetition of letters and digits is
Mademuasel [1]
26×26×10×10×10= 676 000
6 0
3 years ago
Can someone help me with this two column proofs? -this one is confusing to me
Shalnov [3]

Perpendicular bisectors have a particular property: if AB is a perpendicular bisector of CD, then every point lying on AB has the same distance from C and D.

In your case, we have that every point lying on AC has the same distance from B and D.

So, in particular, we have EB=ED, because E lies on AC.

Moreover, since AC is a perpendicular bisector, it is the height of the triangle (if we choose BD as base), and it bisects BD: this means that the triangle is isosceles, so AD=AB.

This means that triangles ABE and ADE have:

  • AD=AB because ABD is isosceles
  • EB=ED because AC is the perpendicular bisector of BD
  • AE in common

So, their sides are all equal, and thus they are congruent.

6 0
3 years ago
Solve for d. h + 4 d = 5b A) d = bh + 5 B) d = h 5b C) d = h + 4 5b D) d = h − 4 5b
IRINA_888 [86]
The answer is b since there are two different letters
7 0
3 years ago
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