Answer: m<1=115 degrees
Step-by-step explanation:
Angles 2 and 4 are corresponding angles since they're being formed by a transversal and 2 parallel lines.
angle 2+angle1=180
65+angle1=180
angle1=115
m<1=115 degrees
Answer:
Number of small boxes is 50 and number of big boxes is 60
Step-by-step explanation:
let the number of small box represent x and the number of big box represent y
Hence total number of boxes = x + y = 110 ......................Eqn1
Total weight of boxes = 30x + 55y = 4800----------------Eqn2
Solving both equations simultaneously
From Eqn1, x = 110-y, substitute it into equation 2
Hence, 4800 = 30(110-y) + 55y
1500 = 25y
y = 60
X = 110 - 60 = 50
Number of small boxes is 50 and number of big boxes is 60
1)1, 3, 5, 15, 23, 69, 115, 345
<span>2)1,3,7,9,21,27,63,81,189,567</span>
Answer:
Ram: 21, Hari: 12
Step-by-step explanation:
To solve the problem, we can use the following notation. We call:
= Ram's age at present
= Hari's age at present
We know that:
- Ram is 9 years older than Hari --> mathematically, this can be written as
- Three years ago, Ram was two times as old as Hari was --> mathematically, this can be written as
where (r-3) is Ram's age 3 years ago, while (h-3) is Hari's age 3 years ago
Substituting eq.(1) into eq.(2), we find:
So, Hari's age is 12; therefore, Ram's age is
Answer:
Place the compass at one end of line segment.
Adjust the compass to slightly longer than half the line segment length.
Draw arcs above and below the line.
Keeping the same compass width, draw arcs from other end of line.
Place ruler where the arcs cross, and draw the line segment.
