Students are auditioning for a school play. Only 18 of the 45 students

Mathematics

2 answers:

Svetllana [295]2 years ago

8 0

40%. 18/40=0.4 and then that converted to a percentage is 40%

o-na [289]2 years ago

6 0

It should be 40%, you convert 18/45 to a decimal then multiply by 100

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The question is below:

SSSSS [86.1K]

Answer:

Triangles ABE and CDE are congruent by AAS.

Step-by-step explanation:

AB ≅ DC (Opposite sides of a parallelogram are congruent.

m < AEB = m < DEC (Vertical angles).

m < ABE = m < EDC ( Alternate Interior angles).

So triangles ABE and CDE are congruent by AAS.

5 0

3 years ago

Help help help pls :)

kykrilka [37]

Answer:

$opposite\approx 70.02$

Step-by-step explanation:

The triangle in the given problem is a right triangle, as the tower forms a right angle with the ground. This means that one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are as follows;

$sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}$

Please note that the names ( $opposite$ ) and ( $adjacent$ ) are subjective and change depending on the angle one uses in the ratio. However the name ( $hypotenuse$ ) refers to the side opposite the right angle, and thus it doesn't change depending on the reference angle.

In this problem, one is given an angle with the measure of (35) degrees, and the length of the side adjacent to this angle. One is asked to find the length of the side opposite the (35) degree angle. To achieve this, one can use the tangent ( $tan$ ) ratio.