Angle angle b is half the size of angle a the measure of angle c is equal to 1 less than 2 times the measure of angle b the sum of the angle a and angle b is 114 can the three angles form a triangle why or why not

No, the angles cannot form a triangle.

Step-by-step explanation:

Angle angle B is half the size of angle A. This means that

A = 2B

The measure of angle C is equal to 1 less than 2 times the measure of angle B. This means that

C = 2B - 1

The sum of the angle A and angle B is 114. This means that

A+B = 114

Substituting A = 2B into (A+B = 114), it becomes

2B + B = 114

3B = 114

B = 114/3 = 38 degrees

A = 114 - 38 = 76

C = 2B - 1

C = 2×38 - 1 = 76 - 1

C = 75

Recall, sum of angles in a triangle is 180 degrees. This means that

A + B+ C = 180 degrees. T

Therefore, if we add add angle A, angle B and angle C, it becomes

76 + 38 + 75 = 189 degrees

The sum is more than the sum of the angles in a triangle. Therefore, the angles cannot form a triangle.

y > 1/3x

y < = -x + 4

hope this : )

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841