Felicity drew a triangle on her paper. angle a of the triangle was 1/3 as big as angle b. angle c was bigger than angle b. which list can represent the angle measures in this triangle? a. 30°, 60°, 90° b. 25°, 55°, 100° c. 20°, 60°, 110° d. 15°, 45°, 120°

D

Step-by-step explanation:

Let If angle A of the triangle is 1/3 as big as angle B, then . If angle C was bigger than angle B, then Consider all options:

A. 30°, 60°, 90°. Angles  30° and 90° can be anglea A and B, But 60°<90°. False.

B.  25°, 55°, 100°. Here are no angles such that one of them is three times greater. False

C.  20°, 60°, 110°. Since 20°+60°+110°>180°, these angles cannot be triangle's angles. False

D. 15°, 45°, 120°. If then and True

Simplest form of radical √245c³ = 7c√5c

Step-by-step explanation:

Given radical value:

√245c³

Find:

Simplest form of radical √245c³

Computation:

Given value

√245c³

Step 1 :

Prime factorisation of given radical value

Simplest form of radical √245c³ = √5 × 7 × 7 × c × c × c

By taking 7 and c from out of root

Simplest form of radical √245c³ = 7 × c √ 5 × c

Simplest form of radical √245c³ = 7c√5c