Answer:
angle 5 is 61°
angle 7 is 61°
Step-by-step explanation:
1. angle 7 + angle 8 = 90° Because they are complementary angles
2. Because of point 1 above, angle 5 + angle 6 = 90°
3. since given angle 6 = 29°
so, angle 5 = 90° - 29° = 61°
4. since given angle 5 = angle 8
so, angle 8 = 61°
5. from point 1 above,
angle 7 + 61° = 90°
so angle 7 = 29°
Answer:
- 4, - 3, - 2, - 1, 0
Step-by-step explanation:
Given
- 2 < n + 3 < 4 ( subtract 3 from each interval )
- 5 < n < 1
This indicates that n ≠ - 5, 1 but all values in between, that is
n = - 4, - 3, - 2, - 1, 0 ← possible values of n
To do this, change into common denominators. The common denominator is 21 so change the problem from 1/3 + 1/7 to 7/21 + 3/21. This gives you 10/21. It is already in simplest form.
Number of cubes increases by 3 for each term.
an= 3n+1
Answer:
The answer is below
Step-by-step explanation:
a) Triangle A is attached in the image below.
The base of triangle A is 3 units and its height is 3 units. The area of a triangle is given as:
Area = (1/2) × base × height
Area of triangle A = (1/2) × base × height = (1/2) × 3 × 3 = 4.5 unit²
Area of the scaled copy = 72 unit²
Ratio of area = Area of the scaled copy / Area of triangle A = 72 unit² / 4.5 unit² = 16
Hence the scaled copy area is 16 times larger than that of triangle A.
b) For the scaled copy:
Area of the scaled copy = (1/2) × base × height = 72 unit²
base × height = 144
Since the base and height are equal
base² = 144
base = 12, also height = 12
Base of scaled copy = 12 = 4 × base of triangle A
Therefore the scale factor used is 4