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°
Answer:
<h2>10</h2>
Step-by-step explanation:
<em>The answer is 10 because 7 + 3 equals 10!</em>
<em></em>
<em>This can be proven by adding 7 + 3 or by subtracting in a certain way.</em>
<em>7 + 3 = ?</em>
<em>7 + 1 = 8</em>
<em>7 + 2 = 9</em>
<em>7 + 3 = 10</em>
<em></em>
<em>You can show more work by subtracting your answer or 10 in this case, which means that you subtract 7 by 10 or 3 by 10, either way is ok.</em>
<em></em>
<em>If you subtract 7 by 10, ( 10 - 7 ) then you get 3</em>
<em>If you subtract 3 by 10, ( 10 - 3 ) then you get 7</em>
<em>If the number you subtracted matches the number that you didn't subtract, then your answer is correct.</em>
<em></em>
<em>Hope this helps! <3</em>
<em>429 cm²</em>
- Step-by-step explanation:
<em>A(blue) =</em>
<em>= 2×6cm×10cm + 2×6cm×8cm + 8cm×10cm + (8cm×10cm - 5cm×4cm)</em>
<em>= 120cm² + 96cm² + 80cm² + 60cm²</em>
<em>= 356 cm²</em>
<em>A(green) =</em>
<em>= 4cm×5cm + 2×5cm×5cm/2 + 4cm×7cm</em>
<em>= 20cm² + 25cm² + 28cm²</em>
<em>= 73 cm²</em>
<em>A(total) =</em>
<em>= A(blue) + A(green)</em>
<em>= 356 cm² + 73 cm²</em>
<em>= 429 cm²</em>
Answer:
338
Step-by-step explanation:
1×2=2 2+6+10+14+18+22+26+30
3×2=6 +34+36+38+42+46+50=338
5×2=10
7×2=14
9×2=18
11×2=22
13×2=26
15×2=30
17×2=34
19×2=38
21×2=42
23×2=46
25×2=50
