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lara [203]
2 years ago
8

Can someone help me and solve the following equation showing work please? thank you!

Mathematics
1 answer:
dsp732 years ago
3 0

The angle made by an arc at the centre of the circle is double the angle made by the same arc at any point on the circle. The measure of the angle θ will be 45°.

<h3>What are an arc and subtended angle theorem?</h3>

According to the arc and subtended angle theorem, The angle made by an arc at the centre of the circle is double the angle made by the same arc at any point on the circle.

The angle made by an arc at the centre of the circle is double the angle made by the same arc at any point on the circle. Therefore, the measure of the angle θ will be half the measure of the ∠P.

As it can be observed the measure of the angle ∠P is 90°, therefore, the measure of the angle θ can be written as,

∠P = 2 × ∠θ

90° = 2 × ∠θ

∠θ = 45°

Hence, the measure of the angle θ will be 45°.

Learn more about Arc and Subtended angle Theorem:

brainly.com/question/1364009

#SPJ1

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The expression 3xy-(2x+4xy) is equivalent to
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There are no answer options so I will just simplify the expression:
3xy-(2x+4xy)
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3 years ago
If angle ABC is one degree less than three times angle ABD and angle DBC=47 find each measure
Contact [7]

It has not been indicated whether the figure in the questions is a triangle or a quadrilateral. Irrespective of the shape, this can be solved. The two possible shapes and angles have been indicated in the attached image.

Now, from the information given we can infer that there is a line BD that cuts angle ABC in two parts: angle ABD and angle DBC

⇒ Angle ABC = Angle ABD + Angle DBC

Also, we know that angle ABC is 1 degree less than 3 times the angle ABD, and that angle DBC is 47 degree

Let angle ABD be x

⇒ Angle ABC = 3x-1

Also, Angle ABC = Angle ABD + Angle DBC

Substituting the values in the above equations

⇒ 3x-1 = x+47

⇒ 2x = 48

⇒ x = 24

So angle ABD = 24 degree, and angle ABC = 3(24)-1 = 71-1 = 71 degree

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HELP HELP PLEASE the height of the triangle is 16 cm, and fe=10 cm. What is the area of the triangle? A. 50 CM^2 B. 80 CM^2 C.16
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Answer:

B. 80 cm^2

Step-by-step explanation:

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A = (10 cm)(16 cm)/2

A = 80 cm^2

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