Answer:
Step-by-step explanation:
2) ∠A + ∠B = 146 {Exterior angle theorem}
5y + 3 + 4y + 8 = 146
5y + 4y + 3 + 8 = 146 {combine like terms}
9y + 11 = 146
9y = 146 -11
9y = 135
y = 135/9
y = 15
3) m∠A = 5y + 3
= 5*15 + 3
= 75 + 3
∠A = 78
4) m∠B = 4y + 8
= 4*15 + 8
= 60 + 8
m∠B = 68
5) m∠ACB + m∠A + m∠B = 180 {Angle sum property of triangle}
m∠ACB + 78 + 68 = 180
m∠ACB + 146 = 180
m∠ACB = 180 - 146
m∠ACB = 34
300x.2= 60 which means this is the amount that gets discounted what he did wrong was not subtract 60 from the original price to figure out the lower price
The actual reduced price is 240 since
300-60=24]
Answer:
31.5 m
Step-by-step explanation:
Let w represent the width of the pool.
Since the length is 15 m greater than the width, it can be represented by w + 15.
Use the perimeter formula, p = 2l + 2w. Plug in the perimeter, and w + 15 as l into the formula:
p = 2l + 2w
96 = 2(w + 15) + 2w
96 = 2w + 30 + 2w
96 = 4w + 30
66 = 4w
16.5 = w
So, the width of the pool is 16.5 m. Add 15 to this to find the length:
16.5 + 15
= 31.5
The length of the pool is 31.5 m
Step-by-step explanation:
m<C = 90°
According to the laws of cosine,
c²= a²+b²-2ab. cos(C)
c²=a²+b²-2ab.cos(90°)
c²=a²+b²-2ab.0 { cos(90°)= 0}
c²=a²+b²
a²=c²-b²
Answer:
<h2>
m∠M = 123° ; m∠L = m∠N = 90° </h2>
Step-by-step explanation:
A quadrangle LMNP is inscribed in circle which means:
m∠L + m∠N = m∠P + m∠M = 180°
m∠P + m∠M = 180°
57° + m∠M = 180°
m∠M = 123°
m∠L + m∠N = 180° and m∠L + m∠N
m∠L + m∠L = 180°
2×m∠L = 180°
m∠L = 90°
m∠N = m∠L = 90°