Answer:
31, 37
Step-by-step explanation:
Let the smaller number be x
Therefore, longer number = x + 6
According to the given information:
x + x + 6 = 68
2x + 6 = 68
2x = 68 - 6
2x = 62
x = 62/2
x = 31
x + 6 = 31 + 6 = 37
Thus, the two parts of 68 are 31 and 37.
Answer:
B) angle side angle triangle congruence
Step-by-step explanation:
In the diagram given, the two angles, <A and <E, and the included side, AE, are congruent to the corresponding two angles, <C and <E, and corresponding included side, CE.
Therefore, based on the ASA Congruence Theorem, we can conclude that both triangles are congruent to each other.
<u>Answer:</u>
Planet A is inner
Planet A is Mars
Planet B is Outer
Planet B is Uranus
<u>Solution:</u>
We know that the inner planets are the planets which are close to the sun. They are relatively small, mostly rocky composition, and have few or no moons.
On other hand, the outer planets are the planets which are far away from the sun. They are mostly huge, ringed, gaseous and have several moons.
In the given problem,
Planet A has rocky mantle and iron core, less no of Moons and no rings, also due to 96% of carbon dioxide, 3% nitrogen and 1% other gases this is denser, and Hence Planet A is inner planet. As the distance from the sun is 1.5 AU and no of moons are 2, hence Planet A is Mars.
On the other hand, Planet B is gaseous with hydrogen and helium gas, hence it is also denser and it has large no of moons and faint rings. So Planet B is Outer planet. As the distance of the planet is 19.22 AU and has 27 moons, hence Planet B is Uranus.
Answer:
132 feet
Step-by-step explanation:
Given that Alejandro is standing at a distance of 140 feet from the base of the tree and his eyes are 6 feet above the ground.
Let AB is the height of the tree and point E is the location of his eyes which is 6 feet above from C on the ground as shown in the figure.
The distance between points A and C, AC=140 feet.
Drawing a horizontal line from point E which meets AB at point D as shown.
As ACED forms a rectangle, so
AC=DE=140 feet ...(i)
CE=AD= 6 feet ...(ii)
The height of the tree, AB=AD+DB
By using equation (ii), AB=6+DB ...(iii)
Now, given that the on watching the top of the tree, the reading on the clinometer is 42 degrees.
So,
In triangle DEB,
[from (i)]
feet
From equation (iii) the height of the tree is
AB=6+126=132 feet.
Hence, the height of the tree is 132 feet.
The y intercept should be 40 as it’s the base you pay for the membership, and another $15 per month.
