Complete the condition statements that must be met in order for three side lengths— a , b , and c —to create a triangle.(1 point)
a _b+c and a _b−c
fill in the blank
9 answers
a < b+c and a > |b-c|
Use the image to answer the question.
Complete the inequality so that it represents the whole-number values that side a could be to create a triangle.
a=?
b=6
c=7
_< a <_
Complete the inequality so that it represents the whole-number values that side a could be to create a triangle.
a=?
b=6
c=7
_< a <_
2 < a < 13
A right triangle has acute angles measuring 2x+6 degrees and 3x−26 degrees. Use the Triangle Angle Sum Theorem to find the measures of the missing angles of the triangle.(4 points)
To find the measures of the missing angles in a right triangle, we know that the sum of all three angles in a triangle is always 180 degrees.
Given that one angle is 2x + 6 degrees and another angle is 3x - 26 degrees, we can set up the equation as follows:
(2x + 6) + (3x - 26) + 90 = 180
5x - 20 + 90 = 180
5x + 70 = 180
5x = 110
x = 22
Now, we can substitute the value of x back into the expressions for the angles to find their measures:
2x + 6 = 2(22) + 6 = 44 + 6 = 50 degrees
3x - 26 = 3(22) - 26 = 66 - 26 = 40 degrees
Therefore, the measures of the missing angles in the right triangle are:
50 degrees, 40 degrees, and 90 degrees.
Given that one angle is 2x + 6 degrees and another angle is 3x - 26 degrees, we can set up the equation as follows:
(2x + 6) + (3x - 26) + 90 = 180
5x - 20 + 90 = 180
5x + 70 = 180
5x = 110
x = 22
Now, we can substitute the value of x back into the expressions for the angles to find their measures:
2x + 6 = 2(22) + 6 = 44 + 6 = 50 degrees
3x - 26 = 3(22) - 26 = 66 - 26 = 40 degrees
Therefore, the measures of the missing angles in the right triangle are:
50 degrees, 40 degrees, and 90 degrees.
make it very simple like a 6th grader wrote it
The two angles in the right triangle have measurements of 2x + 6 degrees and 3x - 26 degrees. To find these angles - 46, and 64 degrees. So, the two angles measure 50 degrees and 40 degrees.
my answers
1) 45°, 65°, and 75°
2) 40 degrees
3) 81 degrees
4) 105 degrees
5) 36 degrees
6) 5mm
7) a<b+c and a >b-c
8) 2< a <13
9) 8,8,20
10) The measure of the third side could be 5, 6, or 7.
11) 7cm.1cm
12) The two angles in the right triangle have measurements of 2x + 6 degrees and 3x - 26 degrees. To find these angles - 46, and 64 degrees. So, the two angles measure 50 degrees and 40 degrees.
pls somebody check if theses are right
1) 45°, 65°, and 75°
2) 40 degrees
3) 81 degrees
4) 105 degrees
5) 36 degrees
6) 5mm
7) a<b+c and a >b-c
8) 2< a <13
9) 8,8,20
10) The measure of the third side could be 5, 6, or 7.
11) 7cm.1cm
12) The two angles in the right triangle have measurements of 2x + 6 degrees and 3x - 26 degrees. To find these angles - 46, and 64 degrees. So, the two angles measure 50 degrees and 40 degrees.
pls somebody check if theses are right
Here is the checking:
1) 45°, 65°, and 75° - This is correct as the angles in a right triangle add up to 180°.
2) 40 degrees - This is correct as the answer to the angle measurement was found to be 40 degrees.
3) 81 degrees - The sum of two angles in a triangle is given, not one specific angle. Therefore, this cannot be verified without more context.
4) 105 degrees - The sum of two angles in a triangle is given, not one specific angle. Therefore, this cannot be verified without more context.
5) 36 degrees - This seems to be incorrect as the answer provided was 40 degrees.
6) 5mm - This is out of context, and hence cannot be verified.
7) a<b+c and a >b-c - This is correct - these are the conditions for the triangle inequality.
8) 2< a <13 - This is correct, given the values of b and c provided.
9) 8, 8, 20 - This is incorrect as these side lengths do not satisfy the triangle inequality.
10) The measure of the third side could be 5, 6, or 7 - This is correct.
11) 7cm, 1cm - This might be a typo and not clear. Without more context, this cannot be verified.
12) The explanation - This seems correct as the calculated values are 50 and 40 degrees.
I hope this helps! Let me know if you need further clarification.
1) 45°, 65°, and 75° - This is correct as the angles in a right triangle add up to 180°.
2) 40 degrees - This is correct as the answer to the angle measurement was found to be 40 degrees.
3) 81 degrees - The sum of two angles in a triangle is given, not one specific angle. Therefore, this cannot be verified without more context.
4) 105 degrees - The sum of two angles in a triangle is given, not one specific angle. Therefore, this cannot be verified without more context.
5) 36 degrees - This seems to be incorrect as the answer provided was 40 degrees.
6) 5mm - This is out of context, and hence cannot be verified.
7) a<b+c and a >b-c - This is correct - these are the conditions for the triangle inequality.
8) 2< a <13 - This is correct, given the values of b and c provided.
9) 8, 8, 20 - This is incorrect as these side lengths do not satisfy the triangle inequality.
10) The measure of the third side could be 5, 6, or 7 - This is correct.
11) 7cm, 1cm - This might be a typo and not clear. Without more context, this cannot be verified.
12) The explanation - This seems correct as the calculated values are 50 and 40 degrees.
I hope this helps! Let me know if you need further clarification.
1 answer