Area of triangle ABC can be found using the formula ¹/₂ × b × c × sin (A)

Substitute b = 9, c = 7, and m∠A = 66° into the formula gives

Area = 9 × 7 × sin 66° = 57.55

ANSWER: D

4 0

3 years ago

If x represents a number, then write an expression for one half the sum of x and 7.

Lostsunrise [7]

Answer:

1/2(x+7)

Step-by-step explanation:

4 0

3 years ago

Determine whether the polygons to the right are similar. If so, write a similarity statement and give the scale factor. If not

Tamiku [17]

Answer:

(a) Similar polygons; scale factor is 2

(b) Similar polygons; scale factor is 1.5

Step-by-step explanation:

Given

See attachment for polygons

Required

Determine if they are similar or not

Solving (a): The triangle

The angles in both triangles show that the triangles are similar

To calculate the scale factor (k), we simply take corresponding sides.

i.e.

$k = \frac{DF}{BA} = \frac{FE}{AC} = \frac{DE}{BC}$

$k = \frac{6}{3} = \frac{8}{4} = \frac{10}{5}$

$k = 2=2=2$

$k = 2$

The scale factor is 2

Solving (b): The trapezium

The angles in both trapeziums show that the trapeziums are similar

To calculate the scale factor (k), we simply take corresponding sides.

i.e.

$k = \frac{KN}{GJ}$

$k = \frac{6}{4}$

$k = 1.5$

The scale factor is 1.5

6 0

3 years ago