Answer:
x° is 66°
Step-by-step explanation:
From the given diagram, we have;
∠JIH = 105° Given
∠IDJ = 39° Given
Therefore, we have;
∠JID and ∠JIH are supplementary angles, by the sum of angles on a straight line
∴ ∠JID + ∠JIH = 180° by definition of supplementary angles
∠JID + 105° = 180° by substitution property
∠JID = 180° - 105° = 75° by angle subtraction postulate
∠JID = 75°
∠IDJ + ∠JID + ∠IJD = 180° by the sum of interior angles of a triangle
∠IJD = 180° - (∠IDJ + ∠JID) = 180° - (39° + 75°) = 66° angle subtraction postulate
∠IJD = 66°
∠x° ≅ ∠IJD, by vertically opposite angles
∴ ∠x° = ∠IJD = 66° by the definition of congruency
∠x° = 66°
Answer:
1
Step-by-step explanation:
3^3/5-3-(4-2)^2/2
3^3/3-2^2/2
3-2
=1
The complete question is
A colony of <span>2^120 bacteria occupies a total volume of </span><span>1.3 x 10^15 m^3. The surface area of a planet is approximately 5.42 x 10^14 m^2. </span>
<span>Complete parts (a) and (b) below. </span>
<span>a) Assume that the bacteria are distributed uniformly over the planet's surface. How deep would the bacterial layer be? (You can find the approximate depth by dividing the bacteria volume by the planet's surface area.) </span>
<span>____m </span>
<span>b) Would the bacteria be knee-deep, more than knee-deep, or less than knee-deep? </span>
<span>A. The bacteria would be less than knee-deep. </span>
<span>B. The bacteria would be more than knee-deep. </span>
<span>C. The bacteria would be knee-deep. </span>
<span>D. It depends on the height of the person
</span>
Part a)
Find the approximate depth
<span>= (bacteria volume / planet surface area) </span>
<span>= (1.3 x 10^15 m³) / (5.42 x 10^14 m²) </span>
<span>= 2.4 m
</span>
the answer Part a) is
2.4 m
Part b)
No information is given about the height of the 'people' on this planet, and hence we cannot guess at their average knee height.
<span>2.4 meters is about 7.9 feet. That is obviously above the knee for any human, but. again, the question does not explicitly state that we are talking about Earth and humans
</span>
therefore
the answer part b) is the option
D. It depends on the height of the person
8) red and 1, red and 2, red and 3, blue and 1, blue and 2, blue and 3
So answer is 6
9) 0.5*1/3 = 0.17
10) 0.5*2/3 = 0.33
