Answer:
x = 117°
Step-by-step explanation:
x and 63° are "Same Side Exterior Angles". These angles are supplementary.
Hence: x + 63 = 180
x = 180 - 63
x = 117°
Answer:
113.04 cubic units
Step-by-step explanation:
(4×3.14×3×3×3)/3=113.04 cubic units.
Answer:
12 animal per square mile?
Step-by-step explanation:
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
Answer:
Using the Angle Addition Postulate, 15 + 40 = m∠ABC. So, m∠ABC = 55° after simplifying.
Step-by-step explanation:
The Angle Addition Postulate is gotten from angles placed side by side to form a resulting angle that is the sum of all the individual angles.
If D is the interior of ABC then, ABC is split into two parts i.e ABD and DBC, then the measure of ABC is the sum of the individual two parts
m∠ABC = m∠ABD + m∠DBC.
Using the Angle Addition Postulate:
m∠ABC = m∠ABD + m∠DBC
m∠ABC = 15 + 40 = 55°
m∠ABC = 55°