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1 year ago

Please answer circle theorem question. Many thx.

Mathematics

1 answer:

pogonyaev1 year ago

3 0

Answer:

x = 125

Step-by-step explanation:

Tangents from an external point to a circle are congruent , that is

CA = CB

Then Δ ABC is isosceles with base angles being congruent

∠ BAC = ∠ ABC = $\frac{180-70}{2}$ = $\frac{110}{2}$ = 55°

∠ ABC and x are adjacent angles on a straight line and sum to 180° , so

x = 180° - 55° = 125°

Then x = 125

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2 years ago

A hotel charges $90 per day for a double room $80 per day for a single room. If a total of 80 single and double rooms are occupi

SashulF [63]

Answer:

the number of single room is 27 and the number of double room is 53

Step-by-step explanation:

Let x is the number of single room

Let y is the number of double room

We know that:

x + y = 80 <=> x = 80 -y (1)

80x +90y= 6930 (2)

Substitute (1) in (2) we have:

80 (80 - y) + 90y = 6930

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2 years ago

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frutty [35]

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2 years ago

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In a lab experiment, 1900 bacteria are placed in a petri dish. The conditions are such

GREYUIT [131]

Answer:

393 bacteria

Step-by-step explanation:

First find how much it would increase per hours :

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393.103448

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2 years ago

The measures of 6 of the interior angles of a heptagon are: 120°, 150°, 135°, 170°, 90°, and 125°. What is the measure of the la

Lilit [14]

1. consider one angle of a (convex) heptagon. From that angle you can construct 7-3=4 diagonals. (-3 because we cannot create diagonals with the adjacent vertices and the angle itself )

2. 4 diagonals create 5 triangular regions. (check the picture)

3. So the sum of the measures of the interior angles of the heptagon is 180°*5=900°.

4. The measure of the remaining 7th interior angle is 900°-(120+150+135+170+90+125)°=110°.

5. The largest exterior angle is when the interior angle is the smallest.

6. The smallest interior angle is 90°, so the largest exterior angle is 180°-90°=90°

Answer: 90°

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2 years ago