Answer:
(3x - 5°) = 52°
Step-by-step explanation:
Formula we use,
→ A + B + C + D + E = 540°
Then the value of x will be,
→ A + B + C + D + E = 540°
→ (6x + 25°) + (5x + 10°) + (3x - 5°) + (5x + 10°) + (6x + 25°) = 540°
→ (6x + 5x + 3x + 5x + 6x) + (25° + 10° - 5° + 10° + 25°) = 540°
→ 25x + 65° = 540°
→ 25x = 540° - 65°
→ 25x = 475°
→ x = 475/25
→ [ x = 19° ]
The value of angle (3x - 5°) will be,
→ (3x - 5°)
→ (3 × 19) - 5°
→ 57° - 5°
→ [ 52° ]
Hence, value of angle (3x - 5°) is 52°.
Answer:61.8°
Step-by-step explanation:
Length of arc=(theta)/360 x 2 x π x radius
9.7=(theta)/360 x 2 x 3.14 x 9
9.7=56.52(theta)/360
cross multiply
9.7 x 360=56.52(theta)
3492=56.52(theta)
Divide both sides by 56.52
3492/56.52=56.52(theta)/56.52
61.8=theta
theta=61.8°
Answer:
<h3> 8 </h3>
Step-by-step explanation:
16 divided by 8 is 2. 40 divided by 8 is 5. Neither of these can be reduced by any more common numbers, so therefore, 8 is your greatest common factor. The GCF of 16 and 40 is 8.
Answer: Our required probability is 0.65.
Step-by-step explanation:
Since we have given that
18-20 Not 18-20 Total
Male 0.23 0.35 0.58
Female 0.16 0.26 0.42
Total 0.39 0.61 1
P(female or between 18-20) = P(female) + P(18-20) - P(Female and 18-20)
P(female or between 18-20) = 0.42+0.39-0.16
P(female or between 18-20) = 0.65
Hence, our required probability is 0.65.
<em>Question 5</em>
Vertical angles are <u>congruent</u>. Therefore, 
. The sum of two supplementary angles equals 
.
Therefore, 
<em>Question 6</em>
<em>Question 7</em>
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<em>Question 8</em>
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