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3 years ago

6

Help please thanks!! (:

1 answer:

Masja [62]3 years ago

5 0

The first thing we do in a problem like this is let arc AB equal X. X is the magic letter, anything you need to find name it x. We also know that all arcs in a circle must add up to 360, so arc ALB is equal to 360 - x.

There's this theorem saying that when two tangents intersect from a point outside a triangle, the measure of the angle formed by the intersection of the tangents (angle P) is equal to the half the difference of the arcs.
This basically means:

angle P = 1/2(360 - x) - x.
plug in the value of angle P
84 = 1/2(360 - x - x)
168=360 - 2x
2x = 192
x = 96

arc AB=96

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Type 11/5 in the simplest form

aleksklad [387]

Answer:

$2\frac{1}{5}$

Step-by-step explanation:

11 ÷ 5 = 2 R 1 → $2\frac{1}{5}$

Hope this helps! :)

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3 years ago

In a city the distance between the libary and the police station is 3 miles less than than the distance between the police stati

Mademuasel [1]

Answer:

8 miles

Step-by-step explanation:

Given

<em>Represent the police station with P, Library with L; Fire station with F</em>

<em>The first statement can be represented as:</em>

<em></em> $L - P = P - F - 3$

<em>The second can be represented as:</em>

$L - P = 5$

Required

Determine the distance between the police station and the fire station (P - F)

$L - P = P - F - 3$ --- (1)

$L - P = 5$ --- (2)

Substitute 5 for L - P in (1)

$5 = P - F - 3$

Add 3 to both sides

$3 +5 = P - F - 3 + 3$

$3 +5 = P - F$

$8= P - F$

$P - F = 8$

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3 years ago

The hourly cost of renting office space in Manhattan is shown by the graph below. The hourly cost of renting office space in Bro

Liula [17]

Answer:

Brooklyn is more expensive

Step-by-step explanation:

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3 years ago

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Lucy’s chocolate bar is 54% cocoa. If the weight of the chocolate bar is 54 grams, how many grams of cocoa does it contain? Roun

Masteriza [31]

Answer:

The chocolate bar contains 29.2 grams of cocoa.

Step-by-step explanation:

Given that Lucy’s chocolate bar is 54% cocoa and the weight of the chocolate bar is 54 grams.

Hence, the amount of cocoa in the chocolate bar is given by

54% of 54 grams

54% percentage means 54/100 = 0.54

Hence, the amount of cocoa in the chocolate bar is

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When rounded to the nearest tenth, 29.16 should be equal to 29.2

Hence, the chocolate bar contains 29.2 grams of cocoa.

4 0

3 years ago

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Vika [28.1K]

Answer:

380

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3 years ago

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