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Illusion [34]
4 years ago
15

Which statements must be true? Select each correct answer

Mathematics
1 answer:
kupik [55]4 years ago
7 0

Answer:

Options (1), (3) and (5)

Step-by-step explanation:

By the property of midsegment,

Segment joining midpoints of two sides of a triangle measures the half of the third side of the triangle and midsegment is parallel to the third side.

Since, points U, V and W are the midpoints of the sides JK, KL and LJ,

UW = \frac{1}{2}(KL)

UV = \frac{1}{2}(JL)

VW = \frac{1}{2}(JK)

UV ║ JL

UW ║ KL

VW ║JK

Therefore, options (1), (3) and (5) are true.

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What is the solution of the following system <br> x-y=11<br> -x+y=-11
Elan Coil [88]
The answer is infinitely many solutions.
 
<span>x - y = 11
-x + y = -11
_____
Express the first equation in the term of x and substitute it into the second equation:
x = y + 11
</span>-x + y = -11
_______
-(y + 11) + y = -11
-y - 11 + y = -11
-y + y = 11 - 11
0 = 0

So, the system has infinitely many solutions.
5 0
3 years ago
HELPPP PLSSSSSS THIS IS MY 3RD TIME POSTING THIS PLEASE ANSWERR AND NO BOTS OR I WILL REPORT!!
aivan3 [116]
Slope would be 8/12 and if you simplify that it is 2/3
5 0
3 years ago
Given 2 (x+3) - 4x = x<br> Prove = 2<br> Complete the proof. Provide reasons for 1-6 below.
qwelly [4]

step-by-step explanation:

#1: simplify both sides of the equation.

2(x+3)−4x=x

(2)(x)+(2)(3)+−4x=x

2x+6+−4x=x

(2x+−4x)+(6)=x

−2x+6=x

−2x+6=x

***

#2: subtract x from both sides.

−2x+6−x=x−x

−3x+6=0

***

#3: subtract 6 from both sides.

−3x+6−6=0−6

−3x=−6

***

step 4: divide both sides by -3.

−3x/-3 = -6/-3

solution x = 2

3 0
2 years ago
(Picture included) how do I solve these using the Pythagorean Theorem??
Oksanka [162]

Hi,

5.

*The length of the hypotenuse is :

the square of the length of the hypotenuse, which is the side opposite to the right angle, is equal to the sum of the squares of the lengths of the other two sides.

So we have :

* (8)^2 + (9)^2 = 64 + 81 = 145 = V(145) = 12, 041 in.

6.

The answer is :

(10)^2 - (6)^2 = 100 - 36 = 64 = \/(64) = 8 ft.

•It was nice to help you, Gohome58!

7 0
3 years ago
An acute triangle has sides measuring 10cm and 16cm. The length of the third side is unknown.
Mariulka [41]

What  best describes the range of possible values for the third side of the triangle are

  • If the 3rd side is less than 6, it could never reach between the ends of the 10 and the 16.
  • If the 3rd side is more than 26, then the 10 and the 26 could never reach its ends.

This is further explained below.

<h3>What is the range?</h3>

Generally, After removing the sample maximum and lowest, we get the range of the data set. It shares the same measurement systems as the data.

In conclusion, Choose the options that best characterize the interval across which the third side may take on a value;

When the 10 and 16 are placed end to end, the third side can never be shorter than 6.

If the sum of the 10 and the 26 is more than the third side's value, then the 10 and the 26 will never sum to the side's value.

Read more about the range

brainly.com/question/28135761

#SPJ1

8 0
2 years ago
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