what would be the missing angle in a right triangle measuring
A = 100
B = 63
C = ? (x)
we need to find c (make sure it adds up to 180)
In a right triangle, one of the angles is always 90 degrees, which is known as the right angle. Therefore, in this triangle, angle C must be the right angle.
To find the missing angle, we can use the fact that the sum of the angles in any triangle is always equal to 180 degrees.
So, we can add the measures of angles A and B:
A + B + C = 180
100 + 63 + C = 180
163 + C = 180
Subtracting 163 from both sides:
C = 180 - 163
C = 17
Therefore, the missing angle C is 17 degrees.
Which of the sets can be used to form a triangle. rember Triangle inequality theoorem
2cm 3cm 5cm
6 cm 5 cm 10 cm
7 cm 9 cm 16 cm
10 cm 10 cm 20 cm
According to the Triangle Inequality Theorem, for a set of three side lengths to form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
Let's check each set:
1) 2cm, 3cm, 5cm
2 + 3 > 5
3 + 5 > 2
2 + 5 = 7
This set does not satisfy the Triangle Inequality Theorem because the sum of the lengths of the two shorter sides (2cm and 3cm) is not greater than the length of the longest side (5cm).
2) 6cm, 5cm, 10cm
6 + 5 > 10
5 + 10 > 6
6 + 10 > 5
This set satisfies the Triangle Inequality Theorem because the sum of the lengths of any two sides is always greater than the length of the third side.
3) 7cm, 9cm, 16cm
7 + 9 > 16
9 + 16 > 7
7 + 16 > 9
This set satisfies the Triangle Inequality Theorem because the sum of the lengths of any two sides is always greater than the length of the third side.
4) 10cm, 10cm, 20cm
10 + 10 > 20
10 + 20 > 10
10 + 20 = 30
This set does not satisfy the Triangle Inequality Theorem because the sum of the lengths of the two shorter sides (10cm and 10cm) is not greater than the length of the longest side (20cm).
Therefore, the sets that can be used to form a triangle, according to the Triangle Inequality Theorem, are:
- 6cm, 5cm, 10cm
- 7cm, 9cm, 16cm
Since this is a single option question pick the correct one
The correct set that can be used to form a triangle, according to the Triangle Inequality Theorem, is:
- 6cm, 5cm, 10cm
write an equation that would help you solve for the missing angle measures. combine like terms, rmeber the triangle sum theorum
sole the eqation to fidn the value of x show explain all of your steps using inverse operations
angles: j = 3x, k = (12 x+1) l = (16x-7)
To solve for the missing angle measures and find the value of x, we can use the Triangle Sum Theorem, which states that the sum of the measures of the angles in a triangle is always 180 degrees.
So, let's set up the equation:
j + k + l = 180
Substituting the given values for the angles:
3x + (12x+1) + (16x-7) = 180
Combining like terms:
3x + 12x + 1 + 16x - 7 = 180
Combine the x terms:
31x - 6 = 180
Now, let's isolate the x term to find its value. First, add 6 to both sides:
31x = 186
Then, divide by 31:
x = 186/31
Simplifying the fraction:
x = 6
Therefore, the value of x is 6.
Part 2
using your value of x from the previous question slve to find the measure of each angle
j =
k =
l =
options
18 60 73 6 89 180
To find the measure of each angle, we can substitute the value of x, which is 6, into the given expressions for each angle:
j = 3x = 3(6) = 18
k = 12x + 1 = 12(6) + 1 = 72 + 1 = 73
l = 16x - 7 = 16(6) - 7 = 96 - 7 = 89
Therefore, the measure of each angle is:
j = 18
k = 73
l = 89
TYSM
please make sure to answer item 2 about the missing angle That ma = 27 Not 17