Define x:
Let angle a be x.
angle a = x
angle b = 3x + 32
angle c = x + 58
Find x:
Angles in a triangle add up to 180°:
x + 3x + 32 + x + 58 = 180
Combine like terms:
5x + 90 = 180
Take away 90 from both sides:
5x = 90
Divide by 5 on both sides:
x = 18°
Find the angles:
angle a = x = 18°
angle b = 3x + 32 = 3(18) + 32 = 86°
angle c = x + 58 = 18 + 58 = 76°
Answer: The angles are 18°, 86° and 76°.
Answer: (1) x²y (2) 7pqr (3) a (4) 6a² (5) y³z²
Step-by-step explanation:
(1) x^4y³ and x²y
x^4y³ = x²y(x²y²)
x²y = x²y
Therefore the Highest Common factor
x²y which is the common factor.
(2) 14p²qr^4 = 2 x 7 x p² x q x r^4
49p²q²r = 7 x 7 x p² x q² x r
35pqr = 5 x 7 x p x q x r
Therefore HCF = 7 x p x q x r
= 7pqr
(3) -a^5 = -( a x a x a x a x a )
= -(a^5)
ab³ = a x b x b x b
Therefore HCF = a
(4) 6a² = 2 x 3 x a x a
-18a6 = -( 2 x3 x 3 x a x a x a x a x a x a)
-12a² = -( 2 x 2 x 3 x a x a )
Therefore HCF = 2 x 3 x a²
= 6a²
(5) 3y³z² = 3 x y x y x y x z x z , 3 x y³ x z²
15y^4z² = 3 x 5 x y x y x y x y x y x z x z, 3 x 5 x y^4 x z²
y^6z³ = y^6 x z³
Therfore HCF = y³ x z²
= y³z²
Answer:
C.
Step-by-step explanation:
1/-7 × -6/5 = 6/35
A. -1/7 × 6/5 = -6/35
B. -6 × -7/5 = 42/5
Answer: C.
Answer:
First one: 37.5
Second one: 108
Step-by-step explanation:
For the first one:
the figure shown is a triangle
The area of a triangle can be calculated using this formula
where b = base length and h = height
The triangle shown has a height of 7.5 and a base length of 10
Using this information we plug in the values into the formula.
Hence the area of the figure is 37.5 square units
For the second one.
The figure shown is a parallelogram with a height of 9 and a base length of 12
The area of a parallelogram can simply be calculated by multiplying the base length by the height
So area = 9 * 12
9 * 12 = 108
Hence the area of the figure is 108 square units
Answer:
therefore the value of V=-6
