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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, that necessary description is not sufficient 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."

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A mathematical relationship can be represented in which ways? Choose all that apply.

Ivenika [448]

B , A , C , D , it’s all of the above

3 0

3 years ago

AC=4, AE=7, AD=10, what is the length of AB? A: 1 3/7 B: 2 1/2 C: 5 5/7 D: 17 1/2

11Alexandr11 [23.1K]

Answer:

C. $AB = 5\frac{5}{7}$

Step-by-step explanation:

When two polygons are considered similar, the ratio of their corresponding sides would also be equal.

Since ∆ABC and ∆ADE are similar, $\frac{AE}{AC} = \frac{AD}{AB}$

$\frac{7}{4} = \frac{10}{AB}$

Cross multiply

$7*AB = 10*4$

$7*AB = 40$

Divide both sides by 7 to find AB

$\frac{7*AB}{7} = \frac{40}{7}$

$AB = \frac{40}{7}$

$AB = 5\frac{5}{7}$

6 0

3 years ago

I REALLY NEED HELP QUICK!

Leni [432]

Answer:

y=1/2x-5

Step-by-step explanation:

From the picture you can see that (0, -5) is a point on the function and that (2, -4) is another point. Using these you can find the slope of the function with the equation

$(y_{2} -y_{1})/(x_{2}-x_{1} )$

We can substitute in the points so it looks like

$(-4--5)/(2-0)$ or $1/2$ which is the slope of the function

Now, since the y-intercept is (0, -5) on the graph, the b part in the slope-intercept form of the equation would be -5, leaving us with the equation y=1/2x-5

4 0

3 years ago

horrorfan [7]

Step-by-step explanation:

charging the phone for 1 minute ,it has 2%

i.e,1----->2

After 2 minutes from that time ,i.e total 3 minutes

it has 6% charge

i.e,3--------->6

from the both the above cases ,1 minute provide 2%=6/3

Hence,

for getting 50%charge=50/2

=25 min

and,for 90 %charge=90\2

=45 min

8 0

2 years ago

What's 3.82e+7 in standard form

kenny6666 [7]

If you simplify, it equals 10.82e.

8 0

3 years ago

Read 2 more answers