Ask question

Ask question

All categories

Zielflug [23.3K]

1 year ago

15

Which statement proves that △XYZ is an isosceles right triangle? XZ ⊥ XY XZ = XY = 5 The slope of XZ is , the slope of XY is , a

nd XZ = XY = 5. The slope of XZ is , the slope of XY is , and the slope of ZY = 7.

2 answers:

TEA [102]1 year ago

8 0

Answer:

A

Step-by-step explanation:

hammer [34]1 year ago

5 0

The first statement, XZ ⊥ XY and XY = XZ = 5 proves that the triangle XYZ is isosceles.

One isosceles triangle has two congruent sides and two congruent angles.

And you should also know the theorem that states that if two sides of a triangle are congruent then the two angles opposite that sides are also congruent.

So, given that the two sides XZ and XY are congruent, their opposite sides are also congruent, and that proves that the the triangle is isosceles.

You might be interested in

Triangle PQR is dilated by a scale factor of 1.5 to form triangle P′Q′R′. This triangle is then dilated by a scale factor of 2 t

Ghella [55]

Answer: The correct option is (D) P″(9, -12) and Q″(15, -3).

Step-by-step explanation: Given that triangle PQR is dilated by a scale factor of 1.5 to form triangle P′Q′R′. This triangle is then dilated by a scale factor of 2 to form triangle P″Q″R″.

The co-ordinates of vertices P and Q are (3, -4) and (5, -1) respectively.

We are to find the co-ordinates of the vertices P″ and Q″.

<u>Case I :</u> ΔPQR dilated to ΔP'Q'R'

The co-ordinates of P' and Q' are given by

$P'(3\times 1.5, -4\times 1.5)=P'(4.5, -6),\\\\Q'(5\times 1.5, -1\times 1.5)=Q'(7.5, -1.5).$

<u>Case II :</u> ΔP'Q'R' dilated to ΔP''Q''R''

The co-ordinates of P'' and Q'' are given by

$P''(4.5\times 2, -6\times 2)=P'(9, -12),\\\\Q'(7.5\times 2, -1.5\times 2)=Q'(15, -3).$

Thus, the co-ordinates of the vertices P'' and Q'' are (9, -12) and (15, -3).

Option (D) is CORRECT.

<u></u>

4 0

2 years ago

Read 2 more answers

Solve the system of linear equations using multiplication.

Anna71 [15]

Answer:

$(8,-1)$

Step-by-step explanation:

The given system is:

$3x+3y=21$

$6x+12y=36$

Since I prefer to use smaller numbers I'm going to divide both sides of the first equation by 3 and both sides of the equation equation by 6.

This gives me the system:

$x+y=7$

$x+2y=6$

We could solve the first equation for $x$ and replace the second $x$ with that.

Let's do that.

$x+y=7$

Subtract $y$ on both sides:

$x=7-y$

So we are replacing the second $x$ in the second equation with $(7-y)$ which gives us:

$(7-y)+2y=6$

$7-y+2y=6$

$7+y=6$

$y=6-7$

$y=-1$

Now recall the first equation we arranged so that $x$ was the subject. I'm referring to $x=7-y$ .

We can now find $x$ given that $y=-1$ using the equation $x=7-y$ .

Let's do that.

$x=7-y$ with $y=-1$ :

$x=7-(-1)$

$x=7+1$

$x=8$

So the solution is (8,-1).

We can check this point by plugging it into both equations.

If both equations render true for that point, then we have verify the solution.

Let's try it.

$3x+3y=21$ with $(x,y)=(8,-1)$ :

$3(8)+3(-1)=21$

$24+(-3)=21$

$21=21$ is a true equation so the "solution" looks promising still.

$6x+12y=36$ with $(x,y)=(8,-1)$ :

$6(8)+12(-1)=36$

$48+(-12)=36$

$36=36$ is also true so the solution has been verified since both equations render true for that point.

5 0

1 year ago

Read 2 more answers

A cell phone tower at point A receives a cell phone signal from the southeast. A cell phone tower at point B receives a signal f

never [62]

Answer: Postulate 1: -4,-4

Postulate 2: D. The postulates guarantee that unique lines can be draw that they will meet at a unique point.

Step-by-step explanation:

7 0

1 year ago

A certain reaction is endothermic in the forward direction. The reaction has less moles of gas on the product side. Which of the

bazaltina [42]

Answer:

decreasing the pressure

Step-by-step explanation:

i just took the test

6 0

1 year ago

As the number of pages in a photo book increases, the price of the book also increases. There is an additional shipping charge o

wlad13 [49]

Answer:

22

Step-by-step explanation:

Solve the inequality (20 + 0.5x) + 0.15(20 + 0.5x) ≤ $62.10 for x:

20 + .5x + 3 + 0.75x ≤ 62.10

Combining the x terms, we get:

20 + 3 + 1.25x ≤ 62.10.

Combining the constants on the left:

23 + 1.75x ≤ 62.10

Combining the constants:

1.75x = 39.10

Solving for x: 39.10/1.75 = 22.34

Thus, the max number of whole pages she can have in her book is 22.

4 0

2 years ago