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Romashka-Z-Leto [24]
2 years ago
10

1. The Alabama state flag is white and has two diagonal red stripes. If the m<1 = 135°, what is

Mathematics
1 answer:
MaRussiya [10]2 years ago
8 0

Using the supplementary angles theorem, it is found that the measure of the second angle is of m<2 = 45º.

<h3>What are supplementary angles?</h3>

Two angles are supplementary when the <u>sum of their measures is of 180º</u>.

The Alabama state flag has <u>two lines opposite by the same vertex</u>, hence two angles that are sided are supplementary, hence:

m<1 + m<2 = 180º.

135º + m<2 = 180º.

m<2 = 45º.

The measure of the second angle is of m<2 = 45º.

More can be learned about supplementary angles at brainly.com/question/12919120

#SPJ1

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ANTONII [103]

Step-by-step explanation:

a^2+b^2 = c^2

C is the biggest number, so put in all the numbers in the equation then if it's equal then it's a right triangle.

example: 6^2 + 8^2 = 10^2

36 + 64 = 100

100 = 100

this one is a right angle because the two sides is equal to the hypotenuse(largest number).

3 0
3 years ago
An animal shelter has 24 puppies. If the puppies are 32% of the total dog and cat population, how many dogs and cats are in the
34kurt

population *32% = 24

population *.32 = 24

population = 24/.32

population = 75

4 0
3 years ago
One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg ha
anastassius [24]
Solutions

To solve this problem we have to use the Pythagorean theorem. You can only use the Pythagorean theorem in Right Triangles. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c². 

Given 

One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg has a length of 10x yards.

First leg (24 yards) would be α 

Second leg would be β

Hypotenuse (74 yards) would be c

Now we have points α β c.  

a² (24) + β² ( x ) = c² (74) 

Calculations 

c² = α² + β²

74² = 24²+ β² 

<span>5476 = 576 + </span>β² 

5476 - 576 = β²
<span> </span>
<span>4900 = </span>β² 

→√4900 
<span> </span>
β<span> = 70 yards 
</span>
<span>70 = 10x 
</span>
<span>x = 70</span>÷<span>10 = 7 yards  
</span>
The second leg = 7 yards
3 0
4 years ago
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 45 degrees at midnig
Nady [450]

Answer:

D = 45+19*sin(\frac{\pi}{12}*t)

Step-by-step explanation:

The amplitude (A) and the mean (M) temperature are given by:

A=\frac{64-26}{2}\\ A= 19\\M=\frac{64+26}{2}\\ M= 45\\

The mean temperature, 45 degrees. occurs at midnight (t=0) and the frequency is f=24h. Therefore, the temperature D, in degrees, as a function of t, in hours, is:

D = M+A*sin(\frac{2\pi}{24}*t)\\D = 45+19*sin(\frac{\pi}{12}*t)

5 0
4 years ago
Jason is planning to travel to Philadelphia to Orlando. His destination is 1,010 miles one way. If he flies, he can get a one-wa
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A is the answer because it costs $295 for the ticket and $271.9 in total if he drives in car. So therefore driving is less expensive.
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