Answer:
m∠A = 15°; m∠B = 89°; m∠C = 76°
Step-by-step explanation:
The sum of the three interior angles of a triangle is 180°.
Let x = m∠A
Then 3x + 44 = m∠B
and x + 61 = m∠C
x + 3x + 44 + x + 61 = 180
5x + 105 = 180
5x = 75
x = 15
m∠A = 15°
m∠B = 3(15) + 44 = 45 + 44 = 89°
m∠C = 15 + 61 = <u> 76°</u>
Sum = 180°
Answer:
144cm²
Step-by-step explanation:
Area of square A Aa = La²
Area of square B Ab= Lb²
If the length of each side of square B is 4cm greater than the length of each side of square A, then;
Lb = La + 4 ... 1
Also if the area of square B is 70cm² greater than the area of square A, then;
Ab = Aa + 70
Since Aa = La² and Ab = Lb²
Lb² = La² + 70 ...2
Substitute 1 into 2;
(La+4)² = La²+70
Expand
La²+8La+16 = La²+80
8La+16 = 80
8La = 80 - 16
8La = 64
La = 64/8
La = 8cm
Since Lb = La + 4
Lb = 8 + 4
Lb = 12cm
Area of square B = Lb²
Area of square B = 12²
Area of square B = 144cm²
Answer:
n ÷ 2
Step-by-step explanation:
if you insert a 12 for 'n', the corresponding value below would be 12÷2, or 6
this follows the pattern in the table
When a circle's diameter is 1, its circumference is π.
Answer:
384 centimeters squared.
Step-by-step explanation:
96/(6+8+10)
96/24 = 4
6×4 : 8×4 : 10×4
24:32:40
The length of its sides are in the ratio of 24:32:40
The longest side is the hypotenuse which is 40.
The area is base × height × 1/2 of a triangle.
32 × 24 × 1/2
768 × 1/2
=384
The area of the triangle is 384 cm squared.
