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Harman [31]
2 years ago
15

Explain why triangleABC is similar to triangle triangle ADE

Mathematics
1 answer:
DedPeter [7]2 years ago
7 0

Answer:

In the given figure, line segment is constructed on the triangle parallel to line segment . ... This line can then be considered as a transversal of these parallel lines. Angle and angle are therefore corresponding angles. And as they're corresponding, this means that they're equal.

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Find the area of the triangle.
Vsevolod [243]

Answer:

20 m²

Step-by-step explanation:

<u>Formula (Area of triangle):</u>

<u />\text{A (Triangle)} = \dfrac{1}{2}  \times \text{Base} \times \text{Height}

From the triangle, we can see that the base of the triangle is "7 + 3" m and the height of the triangle is "4" m.

<u />\implies \text{A (Triangle)} = \dfrac{1}{2}  \times (7 + 3) \times (4)

Simplify the right-hand-side as needed to evaluate the area.

<u />\implies \text{A (Triangle)} = \dfrac{1}{2}  \times (10) \times (4)

<u />\implies \text{A (Triangle)} = \dfrac{40}{2}  = 20 \ \text{m}^{2}

Therefore, the area of the provided triangle is 20 m².

Learn more about this topic: brainly.com/question/15442893

8 0
2 years ago
An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 75 type K batteries and a sample of 46
lorasvet [3.4K]

The decision rule for rejecting the null hypothesis, considering the t-distribution, is of:

  • |t| < 1.9801 -> do not reject the null hypothesis.
  • |t| > 1.9801 -> reject the null hypothesis.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if there is not enough evidence to conclude that the mean voltage for these two types of batteries is different, that is, the subtraction of the sample means is of zero, hence:

H_0: \mu_1 - \mu_2 = 0

At the alternative hypothesis, it is tested if there is enough evidence to conclude that the mean voltage for these two types of batteries is different, that is, the subtraction of the sample means different of zero, hence:

H_1: \mu_1 - \mu_2 \neq 0

We have a two-tailed test, as we are testing if the mean is different of a value.

Considering the significance level of 0.05, with 75 + 46 - 2 = 119 df, the critical value for the test is given as follows:

|t| = 1.9801.

Hence the decision rule is:

  • |t| < 1.9801 -> do not reject the null hypothesis.
  • |t| > 1.9801 -> reject the null hypothesis.

More can be learned about the t-distribution in the test of an hypothesis at brainly.com/question/13873630

#SPJ1

3 0
1 year ago
Write a translation rule that maps point D ( 7 , − 3 ) onto point D ' ( 2 , 5 ). I NEED HELPPPP!
anzhelika [568]

Answer:

T_{ - 5 ,8} \: or \: D'(x,y) →D(x - 5,y + 8)

Step-by-step explanation:

T _ { ? ,?}

D'(x,y) →D(x \pm ?,y \pm ?)

given D : (7,-3), and D' : (2,5)

the coordinates of D can be represented as (x1,y1), and the coordinates of D' can be represented as (x,y).

you can simply take the difference in the x values and difference in the y values from the preimage to image.

like this:

f'(x,y) → f(x+(x-x1),y+(y-y1)) : T _ {(x-x_1),(y-y_1)}

D'(x,y) → D(x+(2-7),y+(5--3))

D'(x,y) → D(x<u>-5</u>,y<u>+8</u>) : T _ {-5 ,8}

7 0
3 years ago
Read 2 more answers
if you deposit 4500 at 5% annual interest compounded annually how much money will be in the account after 30 months
Alja [10]

Answer:

A = $ 50,978.44

Step-by-step explanation:

First, convert R percent to r a decimal

r = R/100

r = 5%/100

r = 0.05 per year,

Then, solve our equation for A

A = P(1 + r/n)nt

A = 45,000.00(1 + 0.004166667/12)(12)(2.5)

A = $ 50,978.44

8 0
3 years ago
three friends go to a local farmers market latasha spends $3:35helen spends4times as much as latasha Dee spends $7:50 more than
OLga [1]
Dee spent $20.90 i think
4 0
3 years ago
Read 2 more answers
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