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2 years ago

Identify the similar triangles in the figure, then find the value of x.

Mathematics

1 answer:

-BARSIC- [3]2 years ago

6 0

Answer:

Part a) ABD and CDE are similar by AA Similarity Postulate

Part b) $x=18\ units$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

In this figure Triangles ABD and CDE are similar by AA Similarity Postulate

$\frac{AB}{ED}=\frac{BD}{CD}$

substitute the values

$\frac{x}{6}=\frac{12}{4}$

$x=6*12/4=18\ units$

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Please help me. math.

KiRa [710]

Answer:

y =293(1.06) ^x

y = 370 after 4 years

Step-by-step explanation:

If we are using the model for growth

y = a ( 1+b)^x

a is the initial population

b is the increase rate

We can substitute the values into the equation

y =293 (1+.06) ^ x

y =293(1.06) ^x

Let x equal 4 for the 4 years

y = 293(1.06)^4

y=369.9

3 0

2 years ago

Solve the equation <br><br> 3x-1/2y=2

poizon [28]

Answer:

Step-by-step explanation:

Without a second equation relating x and y, we can solve 3x - 1/2y = 2 ONLY for x in terms of y or for y in terms of x:

x in terms of y: Multiply all three terms of 3x - 1/2y = 2 by 2, to eliminate the fraction: 6x - y = 4. Now add y to both sides to isolate 6x: 6x = 4 + y.

Last, divide both sides by 6 to isolate x:

x = (4 + y)/6

y in terms of x:

y = 6x - 4

If you want a numerical solution, please provide another equation in x and y and solve the resulting system.

4 0

2 years ago

Help me solve these step by step please !!!

Anettt [7]

Answer:

#2) is 25

Step-by-step explanation:

the best way to solve any of theses is in the order of pemdas:

●parentheses

●exponents

●multiplication & division

●addition & subtraction

for example lets do #2

9+ (2^2)(4)

the first parenthesis has exponents so you'd do it first. 2^2 (two two times) is 4

9+(4)(4)

when two parentheses are next to Each other you multiply. 4x4 is 16

9+16

then finally you add

use these steps for the rest. just comment if you have any questions

7 0

3 years ago

Read 2 more answers

If Professor Wilson found that the test scores of his students had a variance of 4.4, what is the standard deviation? Type a num

malfutka [58]

Answer:

The standard deviation will be: 2.1

Step-by-step explanation:

We know that standard deviation is basically the square root of variance.

Using the formula to calculate the standard deviation

$s=\sqrt{s^2}$

The variance = s² = 4.4

so the standard deviation can be calculated as:

standard deviation $=\sqrt{s^2}$

$=\sqrt{\left(4.4\right)^}$

$=2.1$

Therefore, the standard deviation will be: 2.1

8 0

2 years ago

A person needs to fill 10 water jugs with a hose. Filling the first 2 jugs has taken 3 minutes. How long to finish filling the r

Semenov [28]

Answer:

Step-by-step explanation:

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2 years ago