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3 years ago

Which statement proves that △XYZ is an isosceles right triangle?

1 answer:

6 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

Alfred collects black and brown socks but loses a lot of them. If 60% of all his socks are brown, 20% of his brown socks are in

Ipatiy [6.2K]

Answer:

Alfred has 250 socks in his collection.

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

Based on the information given to us we can see that out of All his Brown socks he has 20% in the wash and the rest are in his drawer. Meaning 80% of the Brown socks are in his drawer. So we first need to find how many Brown socks are in the wash. We can solve this using the Rule of Three property as shown in the picture below.

120 drawer ⇒ 80%

x wash ⇒ 20%

$\frac{120*20}{80} = 30$

Now that we have the amount of Brown socks in the washer we can add that to the amount in the drawer to find the total amount of Brown socks.

$Br = 120+30\\Br = 150$

So we now know that there are a total of 150 Brown socks. Since the question states that the Brown socks are 60% of the total we can use the Rule of Three to find the total.

150 Brown ⇒ 60%

T Total ⇒ 100%

$\frac{150*100}{60} = T$

$250 socks = T$

Finally, we can see that Alfred has 250 socks in his collection.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

5 0

3 years ago

In the diagram below of circle O, the area of the shaded sector AOC is 12pi in^2 and the length of OA I'd 6 inches. Determine an

blagie [28]

Area of a circle for (360degrees) = pi*(r^2)
Area of part of a circle with angle θ=(θ/360)*(pi*)*(r^2)
(θ/360)*pi*(6^2)=12*pi
solving, θ=(12/36)*360
θ=120 degress

5 0

4 years ago

I keep getting this wrong and I only have one chance to get it right. Please help! It's timed aswell.

allsm [11]

PIC 1 - floor function

PIC 2 - 1,1

PIC 3 - -1,1

PIC 4 - f(x)=[1/2]

PIC 5 - f(x)=1/5

7 0

3 years ago

Which polynomial equation of least degree has -2, -2, 3, and 3 as four of its roots?

I am Lyosha [343]

Answer:

The and is x-2)-2(x + 3)3=0

4 0

3 years ago

the selling price of a certain video is $6 more than the price the store paid. If the selling price is $27, find the price that

ValentinkaMS [17]

27 - 6 = 21
the answer is $21
Hope I helped. =)

3 0

3 years ago