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3 years ago

Determine if the two triangles are congruent.

Mathematics

2 answers:

iren [92.7K]3 years ago

7 0

Answer:

Yes they are congruent

Step-by-step explanation:

You know this because of the angle that is marked. You can also know this because of the length of the sides and how its only a rotation of 180 degrees

Sav [38]3 years ago

3 0

Yes they are. it’s considered sas because you are only able to add vertical angles to assist you

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scoundrel [369]

Answer:

x-intercept: (3,0)

y-intercept: (0,−1)

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2 years ago

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1.) The island shown has a population of 12,175 people. Find the population

miv72 [106K]

Answer:

Population density = $148.22\ \text{people per square kilometer}$

Step-by-step explanation:

The attached figure shows the dimension of an island.

Population density is equal to total population per unit land area.

Firstly we will find the area of the triangle using Pythagoras theorem as follows :

$H^2=B^2+P^2$

H is Hypotenuse, B is base and P is perpendicular

$B=\sqrt{H^2-P^2} \\\\B=\sqrt{(18.5)^2-(11.1)^2} \\\\B=14.8\ km$

Area of triangle is given by :

$A=\dfrac{1}{2}\times b\times P\\\\A=\dfrac{1}{2}\times 14.8\times 11.1\\\\A=82.14\ km^2$

$\text{Population density}=\dfrac{\text{Total population}}{\text{land area}}\\\\=\dfrac{12175 }{82.14}\\\\=148.22\ \text{people per square kilometer}$

Hence, the population density is $148.22\ \text{people per square kilometer}$ .

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3 years ago

Math gram question please help thanks

mezya [45]

Density is calculated by mass divided by volume.
This would be 60/24 (60 grams mass divided by 24 cm^3 volume)
60/24 = 2.5
This means the answer is B. 2.5 g/cm^3

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3 years ago

Mrs. Brown is a social worker with a salary of $26000 per year. She also works 10 hours per week part-time on weekends at a reta

Masteriza [31]

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