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xeze [42]
3 years ago
11

To decide whether two triangles are similar is it enough to know that two pairs of corresponding angle measures in the triangle

are equal. Explain your answer.
Mathematics
1 answer:
Gnoma [55]3 years ago
7 0
No, to decide whether two triangles are similar it is not enough to know that two pairs of corresponding angle measures in the triangle are equal.

That is because two triangles are similar if the only difference is size.

So, when you know that two corresponding angles are equal, the third angle is also (necessarily) equal. This is, the all three angles are equal and it could be the case that also the three corresponding side lengths are equal, which means that the triangles are not similar but congruent.
You might be interested in
A grocery store produce manager is told by a wholesaler that the apples in a large shipment have a mean weight of 6 ounces and a
Andru [333]

Answer:

W= 5.744

Step-by-step explanation:

given that a grocery store produce manager is told by a wholesaler that the apples in a large shipment have a mean weight of 6 ounces and a standard deviation of 1.4 ounces

Sample size n= 49

Margin of error = 0.10 (10% risk )

Let us assume X no of apples having mean weight of 6 oz is N(6,1.4)

Then sample mean will be normal with (6, 1.4/7) = (6,0.2)

(Because sample mean follows normal with std error as std dev /sqrt of sample size)

Now required probability <0.10

i.e.P(\bar X

Since x bar is normal we find z score for

P(Z

From std normal distribution table we find that z = 1.28

Corresponding X score =

W= 6-0.2*1.28\\W= 6-0.256 = 5.744

7 0
3 years ago
A rectangle with an area of 47 m² is dilated by a factor of 7. What is the area of the dilated rectangle?
MA_775_DIABLO [31]
We already know that the area of the rectangle increased by a square of the factor 7. So the dilated area of it (which we will call "Ad"), is:

 Ad= (47)(7^2)
 Ad= 47x49
 Ad= 2303 m^2

 What is the area of the dilated rectangle? The area of the dilated rectangle is 2303 m^2.
8 0
3 years ago
  Sarah Wiggum would like to make a single investment and have ​$1.7 million at the time of her retirement in 34 years. She has
vovangra [49]

Answer:

Sarah has to invest $502,958.58 today.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

t = 35, I = 0.07, T = 1700000

She has to invest P today.

T = E + P

1700000 = E + P

E = 1700000 - P

So

E = P*I*t

1700000 - P = P*0.07*34

3.38P = 1700000

P = \frac{1700000}{3.38}

P = 502958.58

Sarah has to invest $502,958.58 today.

8 0
3 years ago
How meny grams are in 6 ounces?
eimsori [14]

Answer:

170.097 grams are in 6 ounces

5 0
2 years ago
Read 2 more answers
The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What
Oksana_A [137]

Using the domain concept, the restrictions on the domain of (u.v)(x) are given by:

A. u(x) ≠ 0 and v(x) ≠ 2.

<h3>What is the domain of a data-set?</h3>

The domain of a data-set is the set that contains all possible input values for the data-set.

To calculate u(x) x v(x) = (u.v)(x), we calculate the values of u and v and then multiply them, hence the restrictions for each have to be considered, which means that statement A is correct.

Summarizing, u cannot be calculated at x = 0, v cannot be calculated at x = 2, hence uv cannot be calculated for either x = 0 and x = 2.

More can be learned about the domain of a data-set at brainly.com/question/24374080

#SPJ1

3 0
2 years ago
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