Please find the angles

Step-by-step explanation:

a/q both the traingles are similar/congruent so,

theri angles also have equal value

angle Q = angle A

so,

apply angle sum property of triangle in ∆PQR

so according to it

Angle

P + Q + R = 180

→ 45° + 15° + Q = 180

→ 60° + Q = 180

→ Q = 180 - 60 = 60°

→ angle Q = 60°

therefore, angle A = 60°

Angle R = angle B

so,

angle B = 15°

as, angle P = angle C

so,

angle C = 45°

hope this answer helps you deartake care and may u have a great day ahead!

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: