All categories

3 years ago

Which characteristics will prove that ΔDEF is an acute, isosceles triangle?

Mathematics

1 answer:

ololo11 [35]3 years ago

3 0

Answer:

a. segment DE and segment EF are congruent to each other but not to segment DF, and their slopes are not related.

Step-by-step explanation:

In order for a triangle to be isosceles, two of the line segments must be congruent. (eliminates choices C and D)

If the slopes of the congruent segments are negative reciprocals of each other, the triangle is a right triangle, not an acute triangle. (eliminates choice B)

With choices B, C, D eliminated, we are left with choice A.

However, <em>that necessary description is not sufficient</em> to constrain the triangle to be an acute triangle. In order for the triangle to be acute, the third side must be less than √2 times the length of either of the congruent sides.

The correct answer is "none of the above."

You might be interested in

Austin consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Austin's bod

Olegator [25]

Answer:

5-hour: 0.5277
1-hour: 0.8800

Step-by-step explanation:

The decay factor for time t can be written as ...

0.2785^(t/10)

Then the 5-hour decay factor is ...

0.2785^(5/10) ≈ 0.5277

and the 1-hour decay factor is ...

0.2785^(1/10) ≈ 0.8800

5 0

3 years ago

Sally has a box that has 30 red balloons and 60 total balloons. What is the probability a randomly selected one is red?

Andreyy89

1/2 probability because 30 is half of 60.

6 0

4 years ago

Clay is filling 6.5 bottle of salsa, He was able to fill 7.5 bottles. How many ounce of salsa did he have? Draw an area model to

VMariaS [17]

Answer: He had 48.75 oz of salsa.

Step-by-step explanation:

I guess that Clay is filling 6.5 oz bottles of salsa.

And we know that he was able to fill 7.5 of these bottles, then if each bottle has 6.5 oz, 7.5 of them have a total mass of salsa will be equal to 7.5 times 6.5 ounces, this is:

M = 7.5*6.5 oz = 48.75 oz

This means that Clay had 48.75 ounces of Salsa

A drawn model to show this is seen below.

Each big square represents 0.5 oz, and the area black delimited area represents a total amount of 6.5 oz, we have 7 of them, then you can draw that 7 times, and count the squares, and then you will find the total ounces of salsa that Clay had, which is equivalent to the multiplication we did above.

4 0

3 years ago

Jerry took a test that had 45 questions on it. He got 36 correct. Enter the

Gre4nikov [31]

Answer:

80% is what he got on the test

8 0

3 years ago

Noah was asked to find the median of the following numbers.

Digiron [165]

Answer:

Noah did not make any error

Step-by-step explanation:

The median of a list of strictly increasing numbers is simply the middle number. If there's an even number of numbers in the list, then the median is the average of the middle two terms.

Here, the numbers are 115, 109, 117, 136, 127, 131. When ordered from least to greatest, we get: 109, 115, 117, 127, 131, and 136, which is what Noah got.

Since there are 6 numbers (6 is even), the median will be the average of the middle two numbers, which are 117 and 127: (117 + 127)/2 = 244/2 = 122

So, Noah was correct.

5 0

3 years ago

Read 2 more answers