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4 years ago

HELP PLZZZZZZZZZZZ!!!!!!!

Mathematics

2 answers:

Svetradugi [14.3K]4 years ago

8 0

Answer:

A) 21/20

Step-by-step explanation:

Tangent = Opposite/Adjacent

julsineya [31]4 years ago

6 0

21/20

Tan= Opposite/ adjacent

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Help, I don’t understand

Sedbober [7]

Answer:

A=90°,B=90°,C=90°,D=90°

Step-by-step explanation:

all of the numbers A-D add up to 360°

6 0

3 years ago

Two parallel lines are intersected by a transversal. Prove: Angle bisectors of the same side interior angles are perpendicular.

coldgirl [10]

Answer:

The answer is given below

Step-by-step explanation:

From the diagram below,Let the line AB and CD be parallel line. Let transversal line EF cut AB at Y and transversal line EF cut CD at Z.

The bisector of ∠BYZ and ∠DZY meet at O. Therefore ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2

∠BYZ and ∠DZY are interior angles.

∠BYZ + ∠DZY = 180 (sum of consecutive interior angles)

∠BYZ/2 + ∠DZY/2 = 180/2

∠BYZ/2 + ∠DZY/2 = 90°

In ΔOYZ:

∠YZO + ∠ZYO + ∠YOZ = 180 (sum of angles on a straight line).

But ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2

∠DZY/2 + ∠BYZ/2 + ∠YOZ = 180

90 + ∠YOZ = 180

∠YOZ = 180 - 90

∠YOZ = 90°

Therefore Angle bisectors of the same side interior angles are perpendicular.

7 0

3 years ago

FURNITURE A modern table is constructed with four legs made

Troyanec [42]

The volume of a shape is the amount of space in it.

The expression that represents the volume of one table leg is: $V = l^3 + n^3$
The sides of the legs is 14.37 inches long

<u>(a) The volume of one table leg</u>

Represent the side length of the leg with l, and the side length of the notch with n.

So, the expression that represents the volume of one table leg is:

$V = l^3 + n^3$

<u>(b) The length of the sides</u>

From the question, we have:

$n = 40\% \times l$

Express 40% as decimal

$n = 0.40 \times l$

$n = 0.4l$

Substitute 0.4l for n in $V = l^3 + n^3$

$V =l^3 + (0.4l)^3$

$V =l^3 + 0.064l^3$

$V =1.064l^3$

The volume of the 4 legs is given as: 12636

So, the volume of one leg would be 12636/4

So, we have:

$1.064l^3 = \frac{12636}{4}$

$1.064l^3 = 3159$

Divide both sides by 1.064

$l^3 = 2968.985$

Take cube roots of both sides

$l = 14.37$

Hence, the sides of the legs is 14.37 inches long