Answer:
x= 2 5/6
Step-by-step explanation:
1/3= 2/6
2 1/2= 2 3/6
2/6+ 2 3/6= 2 5/6
Hope this helps! :)
9514 1404 393
Answer:
B
Step-by-step explanation:
Angles A and C are vertical angles; angles B and C are alternate interior angles. Only line 3 of the proof is in error.
The applicable description is found in choice B.
Answer:
The rock formation is approximately 7 feet tall.
Step-by-step explanation:
<em>We can visualize this situation as a triangle and know that the bottom side is </em><em>10</em><em> and the angle of elevation (the angle created by Mike and the ground, looking to the top of a rock). With this information, we can use tangent to solve.</em>
<em>x = the height of the rock formation</em>
tan(22°) = x/10
10 tan(22°) = x
x = ~4.04 feet
<em>We also have to add the </em><em>3 feet</em><em> to it because it is being measured 3 feet above the floor.</em>
x + 3 = 7.04 feet
Answer:
ED = 4 units
Step-by-step explanation:
Observing the figure given to us, we can deduce the following:
=>CE = EA (because point E is the midpoint of CA)
Therefore, if CE = EA = x unit, CA = 2x
=>Also, CD = DB (because point D is the midpoint of CB)
Therefore, if CD = DB = y, CB = 2y
Thus, CA/CE = CB/CD = 2 (2x/x = 2y/y)
Going by the above ration we got comparing the ratio of the corresponding sides of ∆CAB and ∆CED (2:1), we can conclude that ∆CAB ~ ∆CED
Using the ratio of the corresponding sides of ∆CAB to ∆CED = (2:1), measure of segment ED is calculated below:
AB/ED = 2/1
8/ED = 2/1
Cross multiply
8 × 1 = 2 × ED
Divide both sides by 2
8/2 = ED
ED = 4 units
