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Mrac [35]
3 years ago
9

Jonathan is traveling from New York City to Wellington, New Zealand. The latitude of New York City is 40.67°, and the latitude o

f Wellington is -41.29°. What is the difference of the two cities' latitudes?
Mathematics
1 answer:
Misha Larkins [42]3 years ago
4 0

Answer:

81.96

Step-by-step explanation:

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Find the value of x:
slega [8]

Answer:

x = 20

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Using ΔAHC , then

∠ACH = 180 - (2x + 100) = 180 - 2x - 100 = 80 - 2x

∠ECD = ∠ACB ( vertical angles are congruent ), thus

∠ECD = ∠ACH + ∠HCB, that is

3x = 80 - 2x + x

3x = 80 - x ( add x to both sides )

4x = 80 ( divide both sides by 4 )

x = 20

7 0
4 years ago
16. Carrie is packing her clothes in moving
joja [24]

Answer:

I don't get it but in my opinion I would say it's 4

5 0
3 years ago
To wash a window that is 12 feet off the ground, Wayne leans a 13-foot ladder against the
AlladinOne [14]

Answer:

5 meters

Step-by-step explanation:

Based on the situation, it forms into a right triangle. So we will apply the Pythagorean Theorem here. The ladder acts as the hypotenuse while the height from the ground to the window serves as our side "a". We are tasked to solve for "b". Side "b" is the distance from foot of side a to the tip of side c which is the hypotenuse (ladder). We will derive the formula below to solve for b.

c = √( a² + b² )

c² = a² + b²

b² = c² - a²

b = √ ( c² - a² )

b = √ ( 13² - 12² )

b = 5 meters

Correct me if I'm wrong. I hope it helps.

3 0
3 years ago
Use the definition of logarithm to simplify each expression.
konstantin123 [22]
1)\ \ \ log 10 ^{10}=x\ \ \ \Leftrightarrow\ \ \ 10^x=10^{10}\ \ \ \Leftrightarrow\ \ \ \ \ \ x=10\\\\2) \ \ \ log 10 ^{100}=x\ \ \ \Leftrightarrow\ \ \ 10^x=10^{100}\ \ \ \Leftrightarrow\ \ \ x=100\\ \\ 3)\ \ \ log 10 ^ {10-4}=x\ \ \ \Leftrightarrow\ \ \ 10^x=10^{10-4}\ \ \ \Leftrightarrow\ \ \ x=6
7 0
3 years ago
What is the value of x?<br> [Art not to scale.]<br> Ox=23<br> Ox=35<br> Ox=58<br> Ox=93
tester [92]
X is an exterior angle so it’s 35+58 which equals 93
4 0
3 years ago
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