Answer:
3. m∠1 = 106° ~ this is because ∠1 and ∠2 together make a straight line and are therefore supplementary, meaning added together, they equal 180° (so I did 180° - 74° = 106°)
4. m∠3 = 74° ~ again, it is supplementary to ∠1. It is also equal to ∠2
5. m∠8 = 114° ~ angles opposite of each other (like 1 and 4) are equal (as we know from question 4). From there, we can use the corresponding angle theorem, so we know 4 and 8 are congruent. (also you can just know 1 and 8 are congruent by using the opposite exterior angles theorem)
6. m∠6 = 124° ~ using same-side interior angle theorem, they are supplementary angles (or the corresponding angles theorem mentioned above, make 4 congruent to 8, and 8 is supplementary to 6)
7. m∠7 = 96° ~ using same side exterior angle theorem, these angles are supplementary
8. m∠2 = 64° ~ again, same side exterior angle theorem
Answer:
16 pencils need to be sharpened
Step-by-step explanation:
6 divided by 24 = 4 x 6 = 24 switch the 6 with a 4 and its 4 x 4= 16
Answer: Volume: 65.4 Weight: 46.4
Step-by-step explanation:
Ans:
1. m ∠C = 88°
2. m ∠B = 100°
3. m ∠A = 92°
4. m ∠D = 80°
Explanation:
∠A and ∠C are supplementary angles; therefore:
∠A + ∠C = 180° --- (A)
Since,
∠A = (x+2)°
and
∠C = (x-2)°
Plug-in the values in equation (A):
(A) => (x+2)° + (x-2)° = 180°
=> x° + 2° + x° - 2° = 180°
=> 2x° = 180°
=> x = 90°
Since x = 90°, therefore,
∠A = (x+2)° = 92°,
and
∠C = (x-2)° = 88°
Since ∠B and ∠D are supplementary angles; therefore,
∠B + ∠D = 180°
∠B + (x-10)° = 180°
Since,
x = 90°; therefore,
∠B + 80° = 180°
∠B = 100°
And since,
∠B + ∠D = 180°
and
∠B = 100°
Therefore,
∠D = 180° - 100°
∠D= 80°
-i
Probability of rolling a 3 is 1/6
200 x 1/6 = 200/6
Expectation = 200/6 ie 33.333, 33 to the nearest whole number
So you would expect to roll a three 33 times
