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siniylev [52]
3 years ago
9

NEED HELP someone,anyone, please help im sturggling

Mathematics
2 answers:
storchak [24]3 years ago
8 0
A.) a right triangle would have 2 acute angles.
b.) there would be 0 obtuse angles.
c.) there would be 1 right angle.

In the diagram you can see a little black box in one of the corners of the triangles. That box means the angle is a right, 90 degree angle. Since an acute angle is an angle that is less than 90 degrees, and since all three angles would have to add up to 180 degrees, you know that the other two angles are acute angles.
Stella [2.4K]3 years ago
4 0

Answer:

10.  1 right 2 acute 0 obtuse angles

11.   x=6

Step-by-step explanation:

10.  A triangle has 3 angles.

If it is a right triangle is has 1 right angle which is 90 degrees.

90 + x+y = 180  where x and y are the other 2 angles

Subtract 90 from both sides

x+y = 90

So the 2 angles that are left can only add to 90.

An obtuse angle is greater than 90 degrees, so we cannot have an obtuse angle.  Acute angles are less than 90 degrees.

A right angle is 90 degrees.  If one of the angles left is 90 degrees, the other one is zero, and that does not make a triangle.

So we must have 1 right angle and 2 acute angles  (no obtuse angles)


11.  Since the 2 sides are the same the triangle is isosceles.  That means the two angles have the same measurements.

90 + y+y = 180

y+y=90

2y = 90

y = 45

Each angle must equal 45 degrees

7x+3 = 45 degrees

Subtract 3 from each side

7x+3-3 =45-3

7x =42

Divide each side by 7

7x/7 =42/7

x =6

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Hi there,

In order to find the length of side EF, you should realize that this is an <u>isosceles triangle</u>. We know that two sides and two angles of this type of triangle are equal to each other. We also know that the lengths of the sides opposite of the congruent angles are equal to each other. Thus, we proved that length of side EF is equal to the length of side FG.

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Hope this explanation helps you understand this problem. Cheers.

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