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3 years ago

What is the measure of angle y in this figure?

Mathematics

2 answers:

prohojiy [21]3 years ago

6 0

The measure of angle y is 163 degrees because the two angles are vertical angles

sergiy2304 [10]3 years ago

6 0

The measure of angle y is 163 degrees because the two angles are vertical angles

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The average mass of a giraffe is approximately 1x 10^8 kilograms. The average mass of a blue whale is approximately 2x 10^6 kilo

Basile [38]

Answer:

Giraffe = 1,000 kg

Whale = 2,000,000 kg

Step-by-step explanation:

Whale has 2,000 times the mass.

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2 years ago

What is the percentage 33% of $145.00

yan [13]

Answer:

47.85

Step-by-step explanation:

33% of 145

of means multiply

Changing to decimal form

.33* 145

47.85

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3 years ago

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X-3= 0 and 4x+2y-1= 0

Assoli18 [71]

X-3=0
x=3

4x+2y-1=0
4(3)+2y-1=0
12+2y-1=0
11+2y=0
2y=-11
y=-5.5

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3 years ago

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Two cyclists leave town at the same time on the same road going in the same direction. Cyclist a is going 6 miles per hour fast

tia_tia [17]

24x=8x+48
16x=48
/16 /16

x=3

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3 years ago

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Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who

zmey [24]

Answer:

18.7939 m

Step-by-step explanation:

-Let x be the distance between John and clock tower.

-Let y be the vertical distance from the eyes of the two men standing to the top of the clock tower.

#Taking the right triangle ACD:

$\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 60\textdegree=\frac{y+1.5}{x}\\\\y=x \ Tan \ 60\textdegree -1.5$

#Taking the right triangle ABD:

$\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 40\textdegree=\frac{y+1.5}{x+20}\\\\y=(x+20)\ Tan \ 40\textdegree -1.5$

#We equate the two yo solve for x and y;

$(x+20)\ Tan \ 40\textdegree -1.5=x\ Tan \ 60\textdegree -1.5\\\\(x+20)\ Tan \ 40\textdegree=x\ Tan \ 60\textdegree\\\\0.8391x+16.7820=1.7321x\\\\x=18.7939$

Hence, John's distance from the tower's base is 18.7939 m

8 0

3 years ago