Step-by-step explanation:
remember, the sum of all angles in a triangle is always 180°.
and the sum of all angles around one point at one side of a line is also airways 180° (because you can imagine that point to be the center of a circle, and the line would cut that circle in half = 180° for every half).
in the triangle LKM we know 2 angles already :
angle 1 = 44°
angle K = 90° (right angle).
so, angle 2 = 180 - 90 - 44 = 46°
and so, angle 5 = 180 - 46 = 134°.
as the angles around point L on line KL are the angles 2 and 5.
angle 5 = 134°
You have to use Pythagoreans theorem. 225=144+x^2
x^2 = 81
sq root of 81 is 9
it is 9 feet away from the wall.
Answer:
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Step-by-step explanation:
Answer:
BD = 8 cm
Step-by-step explanation:
Point O divides the diagonals proportionally, so ...
... AO/AC = BO/BD = 3/4
Then ...
... BO = BD·3/4 . . . . . multiply by BD
... BD = 4/3·BO = 4/3·(6 cm) . . . . . multiply by 4/3; substitute the value of BO
... BD = 8 cm
Answer:
A. Vasily is not correct. He should have rewritten the original expression as −6(−5g−7h+9) and then as 30g+42h−54.
Step-by-step explanation:
Given the expression;
<em>Rearranging the above, we have;</em>
<em>Simplifying, we have;</em>
<em>Multiply, to open the bracket;</em>
<em>Therefore, Vasily should have rewritten the original expression as −6(−5g−7h+9) and then as 30g+42h−54. </em>
