Answer:
1. 495
2. 367
3. 1835
4. 1887
5. 2627
6. 1890
7. 1929
Step-by-step explanation:
1.
Smallest number in the N column: 33
Largest number in the B column: 15
33 * 15 = 495
2.
Sum of numbers in the I column:
27 + 23 + 19 + 30 + 29 = 128
495 - 128 = 367
3.
Highest number in the O column: 72
Lowest number in the O column: 67
72 - 67 = 5
367 * 5 = 1835
4.
Average of the numbers in the G column:
(50 + 51 + 54 + 52 + 53)/5 = 52
1835 + 52 = 1887
5.
Reversed digits in answer: 1887 -> 7881
First number in B column: 11
Second number in B column: 8
11 - 8 = 3
7881/3 = 2627
6.
Sums of the numbers in I, G, and O columns:
27 + 23 + 19 + 30 + 29 + 50 + 51 + 54 + 52 + 53 + 72 + 70 + 67 + 71 + 69
= 737
2627 - 737 = 1890
7.
First number in column G: 50
First number in column B: 11
1890 + 50 = 1940
1940 - 11 = 1929
Answer:
The proof is derived from the summarily following equations;
∠FBE + ∠EBD = ∠CBA + ∠CBD
∠FBE + ∠EBD = ∠FBD
∠CBA + ∠CBD = ∠ABD
Therefore;
∠ABD ≅ ∠FBD
Step-by-step explanation:
The two column proof is given as follows;
Statement
Reason
bisects ∠CBE
Given
Therefore;
∠EBD ≅ ∠CBD
Definition of angle bisector
∠FBE ≅ ∠CBA
Vertically opposite angles are congruent
Therefore, we have;
∠FBE + ∠EBD = ∠CBA + ∠CBD
Transitive property
∠FBE + ∠EBD = ∠FBD
Angle addition postulate
∠CBA + ∠CBD = ∠ABD
Angle addition postulate
Therefore;
∠ABD ≅ ∠FBD
Transitive property.
Answer:
3 < x < 17
Step-by-step explanation:
triangle inequality theorem: the sum of any two sides must be greater than the third
7 + 10 > x; x < 17
7 + x > 10; x > 3
Answer:
0.00604
Step-by-step explanation:
The exponent tells us how many spaces to move the decimal in a given number. If its positive, the decimal moves to the right. If its negative, the decimal moves to the left.
6.04 x 10⁻³ = 0.00604