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Zarrin [17]
3 years ago
11

Brainly a geometry teacher asked saul to define "obtuse triangle." saul said that an obtuse triangle is a triangle with one inte

rior angle measure greater than 90°90° and two interior angle measures less than 90°90°. is saul's definition valid?
Mathematics
1 answer:
worty [1.4K]3 years ago
7 0
This is true. In order to get an obtuse triangle, one angle must be greater than 90 degrees because the definition of an obtuse triangle is an angle measuring greater than the right angle. The other angles must be less than 90 degrees because the sum of the angles must be 180 degrees.
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Help fill in the blanks no
DerKrebs [107]

Answer:

Here is the full proof:

AC bisects ∠BCD      Given

∠CAB ≅ ∠CAD          Definition of angle bisector

DC ⊥ AD                    Given

∠ADC = 90°               Definition of perpendicular lines

BC ⊥ AB                    Given

∠ABC = 90°               Definition of perpendicular lines

∠ADC ≅ ∠ABC          Right angles are congruent

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ΔCAB ≅ ΔCAD          SAA

BC = DC                     CPCTC          

7 0
3 years ago
Solve for the variable x - 9 = 11
Strike441 [17]

Answer:

20

Step-by-step explanation:

x - 9 = 11

+9         +9

x = 20

3 0
3 years ago
Read 2 more answers
The table shows the charges for a catering service. Based on the pattern in the table, calculate the charge for catering a party
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3 years ago
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In parallelogram abcd, ab=14, bc=20, m(angle)b=54. Find to the nearest tenth the length of diagonal bd, and find measure angle d
muminat
It is is a parallelogram, hence we have to face sides equal in length and the opposite angles are also the same. From the given above we have:
ab=14 and its opposite side cd=14
bc=20 and its opposite side da=20

Solving for the diagonal measurement bd, we have consecutive angles are equal to 180°
∠A+∠B=180°
∠A=180°-54°
∠A=126° , ∠B=54° ,∠C=126° and ∠D=54°
bd²=ab²+da²-2(ab)(da)cos126°
bd²=14²+20²-2*14*20cos126°
bd=30.42 unit

Solving for the angle dbc, we have
cos dbc=bc²+bd²-cd²/a*bc*bd
cos dbc=20²+30.42²-14²/2*20*30.42
dbc=21.76° 
3 0
3 years ago
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