Answer: look at the picture
Step-by-step explanation:
Answer:
298565
Step-by-step explanation:
Given problem,
1415 × 211
∵ Direct multiplication is quite tough so we can split the number into smaller one for making the multiplication easier,
= (1400 + 15) × (210 + 1)
By using distributive property,
= 1400 × (210 + 1) + 15(210 + 1)
Again by distributive property,
= 1400 × 210 + 1400 + 15 × 210 + 15
Simplifying,
= 294000 + 1400 + 3150 + 15
= 298565
Hence, 1415 × 211 = 298565
Answer:
Step-by-step explanation:
In the diagram shown, the measure of angle 1 is oppositely directed to angle 2 and oppositely directed angles are equal.
Hence <1 = <3
Given < 1 = 3x-1 and <3 = 2x+9
Hence 3x-1 = 2x+9
collect like terms
3x-2x = 9+1
x = 10°
Since <1 = 3x-1
on substituting x = 10
<1 = 3(10)-1
<1 = 30-1
<1 = 29°
<1+<2 = 180 (angle on a straight line)
29+<2 = 180
<2 = 180-29
<2 = 151°
Similarly, on substituting x = 10 into <3
<3 = 2x+9
<3 = 2(10)+9
<3 = 20+9
<3 = 29°
<3+<4 = 180 (angle on a straight line)
29+<4 = 180
<4 = 180-29
<4 = 151°