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valentinak56 [21]
3 years ago
6

Determine whether the triangles are similar. If similar, state how (AA, SSS, or SAS), and write a similarity statement.

Mathematics
2 answers:
nexus9112 [7]3 years ago
8 0

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, isosceles triangle, right angled triangle.

Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion.

AA similarity theorem states that two corresponding angles of two triangles are congruent then the two triangles are similar.

We can see that from triangle EFG and triangle GHJ that:

∠JHG = ∠GFE (given)

Also, ∠EGF = ∠JGH (vertical opposite angles are equal).

Since two angles of triangle EFG and two angles of triangle GHJ are equal, then the two triangles are said to be similar by AA similarity theorem.

disa [49]3 years ago
8 0

DO you have a picture of the triangle?

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Marymount Township secured the construction of a power plant, which opened in 1990. Once the power plant opened
Aleksandr [31]

Answer:

92087,14873

Step-by-step explanation:

Given that Marymount Township secured the construction of a power plant, which opened in 1990. Once the power plant opened  in 1990, the population of Marymount increased by about 20% each year for the first ten years and then increased by  5% each year after that

Let P0 be the population in 1990

Then we have in 2000 the population is

P(2000) = P_0(1.2)^{10}

with this initial population for next growth we have in 2010 the population would be

P(1.05)^{10}, where P = population is 2000

a) Given that P(1.05)^{10) = 150000\\P = 150000(1.05)^{-10} =92.086.99\\=92087

b) we use the exponential equation and solve for initial population in 2000.

c) we have

P_0(1.2)^{10} =92087\\P_0 = 92087((1.2)^{-10})\\=14872.56\\=14873

6 0
3 years ago
There are more cups in 5 gallons than in 22 quarts true or false?
Alex Ar [27]

The answer is false their are 80 cups in 5 gallons and their are 88 in 22 quarts

3 0
3 years ago
A baker requires 21 ounces of flour to make a loaf of bread. Given that the amount of flour the baker needs, w ounces, is direct
Degger [83]

Answer:

Constant of proportionality, k = 21

w \propto n\\w = kn\\w = 21n                                      

Step-by-step explanation:

We are given the following in the question:

The amount of flour required is directly proportional to the number loaf of breads made.

Let w be the weight of flour and n be the number of loaf of breads.

Thus, we can write,

w \propto n\\w = kn

where k is the constant of proportionality.

21 ounces of flour is required to make 1 loaf of bread.

Putting these values, we get,

21 = k(1)\\\Rightarrow k = 21

Thus, the equation giving relation between weight of bread and number of loafs of bread is

w = 21n

6 0
3 years ago
Here's another question, same one (kind of) <br> 5x - 8 = 3x + 4
cluponka [151]

Answer:

x=6

Step-by-step explanation:

5x - 8 = 3x + 4

    +8         +8

5x=3x+12

-3x  -3x

2x=+12

/2    /2

x=6

6 0
3 years ago
After writing a check mike had -$34.50 in his account, he deposited $20.00 how much did he have now?
kotegsom [21]

Answer:

-$14.50

Step-by-step explanation:

This is easily solved on a calculator.

-34.50 + 20.00 = -14.50

3 0
3 years ago
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