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Ainat [17]
2 years ago
15

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

Mathematics
1 answer:
ololo11 [35]2 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."

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In 1997 there were 31 laptop computers at Grove High School. Starting in 1998 the school bought 20 more laptop computers at the
Kruka [31]

Using the linear equation, T = 20x + 31, the total number of computers at the end of 2005 is: C. 191.

<h3>How to Use a Linear Equation?</h3>

A linear equation is expressed as y = mx + b, where x is a function of y, m is the rate of change and b is the y-intercept or starting value.

In the scenario stated, we are given the linear equation for total number of laptop computers at the school after 1997 as, T = 20x + 31.

Rate of change = 20

y-intercept/starting value = 31

x = 2005 - 1997 = 8

To find the total number of laptop computers at Grove High School at the end of 2005 (T), substitute x = 8 into the equation, T = 20x + 31.

T = 20(8) + 31

T = 160 + 31

T = 191 computers.

Thus, total number of computers at the end of 2005 is: C. 191.

Learn more about linear equation on:

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7 0
1 year ago
Question 2 (1 point)
Vitek1552 [10]

Answer:

Step-by-step eEssential expenses most likely include:

Shelter.

Food and toiletries (this includes pet needs)

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Car expenses.

Debt payments.

Insurances and medical needs.xplanation:

3 0
2 years ago
X – 7y = –11<br> 5x + 2y = -18
laiz [17]

Answer:

hope this help you

Step-by-step explanation:

Simplifying

X + -7y = -11

Solving

X + -7y = -11  

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '7y' to each side of the equation.

X + -7y + 7y = -11 + 7y

Combine like terms: -7y + 7y = 0

X = -11 + 7y

Simplifying

X = -11 + 7y

------------------------------------------------------------------------------------------------------------

Solving

5x + 2y = -18

Solving for variable 'x'.

Add '-2y' to each side of the equation.

5x + 2y + -2y = -18 + -2y

Combine like terms: 2y + -2y = 0

5x = -18 + -2y

Divide each side by '5'.

x = -3.6 + -0.4y

Simplifying

x = -3.6 + -0.4y

4 0
3 years ago
Want Brainliest?
andrew11 [14]

Answer:

6 hours  

Step-by-step explanation:

3 0
2 years ago
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I will give Brainlyist pls help
kipiarov [429]

Answer:

1/72

Step-by-step explanation:

1/9/8/1=1/9x1/8=1/72

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2 years ago
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