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3 years ago

Determine which postulate or theorem can be used to prove that ΔSEA= ΔΡΕΝ.

Mathematics

1 answer:

Vikentia [17]3 years ago

3 0

Answer:

ASA

Step-by-step explanation:

ASA(Angle-Side-Angle) postulates states that if two angles and one included side of one triangle are congruent to the two angles and one included sides of the other triangle, then these triangles are congruent.

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Rewrite the following equation in log form: 2^2 = 4

Finger [1]

We have to write

$2^2 =4$

In log form

To convert exponential equation to log equation, we have to use the following rule $If \ a^b = c, \ then \ b=log_{a} c$

So we will get

$If \ 2^2 =4, \ then \ 2 = log_{2} 4$

$log_{2}4=2$

And that's the required log form .

5 0

3 years ago

Read 2 more answers

There are 80 sixth graders at Wilson Middle School. Only 60% of the sixth graders will attend the morning assembly. How many six

Montano1993 [528]

You would do 80 * 6/10, which equals 48. Therefore there would be 48 sixth graders at the morning assembly. Hope this helps. Please rate, leave a thanks, and mark a brainliest answer(Not necessarily mine). Thanks, it really helps! :D

3 0

3 years ago

Read 2 more answers

Which set of numbers could represent the lengths of the sides of a right triangle?

DiKsa [7]

Answer:

The first set: 8, 15, and 17.

Step-by-step explanation:

By the pythagorean theorem, a triangle is a right triangle if and only if

$\text{longest side}^2 = \text{first shorter side}^2 + \text{second shorter side}^2$ .

In this case,

$\text{longest side}^2 = 17^2 = 289$ .

$\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 8^2 + 15^2\\ &=64 + 225 = 289 \end{aligned}$ .

In other words, indeed $\text{hypotenuse}^2 = \text{first leg}^2 + \text{second leg}^2$ . Hence, 8, 15, 17 does form a right triangle.

Similarly, check the other pairs. Keep in mind that the square of the longest side should be equal to the sum of the square of the two

Factor out the common factor $2$ to simplify the calculations.

$\text{longest side}^2 = 20^2 = 400$

$\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 10^2 + 15^2\\ &=100 + 225 = 325 \end{aligned}$ .

$\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2$ .

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

$\text{longest side}^2 = (2\times 11)^2 = 2^2 \times 121$ .

$\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= (2 \times 6)^2 + (2 \times 9)^2\\ &=2^2 \times(36 + 81) = 2^2 \times 117 \end{aligned}$ .

$\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2$ .

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

$\text{longest side}^2 = 11^2 = 121$ .

<h3> $\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 7^2 + 9^2\\ &=49+ 81 = 130 \end{aligned}$ .</h3>

$\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2$ .

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

6 0

3 years ago

I need help I don’t know how to do this

vfiekz [6]

Answer:

Step-by-step explanation: The bigger triangle is 6 times bigger than the smaller one.

4 0

3 years ago

The triangles shown are similar. Which similarity statement expresses the relationship between the two triangles?

Arada [10]

9 ;) thanks that I can help next time I will do better

7 0

3 years ago