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taurus [48]
3 years ago
11

If angle A B C is congruent to and C B D, find x. ABC (7x - 40) CBD (4x + 32)

Mathematics
1 answer:
gregori [183]3 years ago
5 0
∠ABC ≡ ∠CBD
7x - 40° = 4x + 32°
3x = 72°
x = 24°
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What additional information do you need to prove triangle NOP = triangle QSR?
Wewaii [24]
After careful consideration i think I have an answer... 
So if you notice, These two triangles are a reflection of each other. 
Now even though these two triangles equal one another, we still have to consider the fact that they are different. (one side is the opposite of another)
So lets just name all the sides that equal each other. 
∠N = ∠Q
NO = QS
QR = NP
PO = SR
∠S = ∠O 
∠P = ∠R 

(by the way i'm going to be saying {the reflective side} every time i want to refer to the side with the two lines :P) - so bare with me. 

So therefore this would mean that ∠P = ∠S would be false, since one angle is from the side that is reflected and the other isn't. Makes sense?

So lets look over at the answers...

A.) PN = SQ 
For this answer choice, PN is on the non reflective side, while SQ is on the reflective side. Soooo... This answer choice is wrong. 

B.) NO = QR
NO  is part of the  unreflective side, while QR is part of the reflective side. 
Therefore this answer is wrong. They must be part of the same side. 

C.) ∠P = ∠S 
∠P is on the unreflective side, while angle ∠S is on the reflective side. 
There fore this answer is also wrong. 

D.) ∠O = ∠S 
Now ∠O is on the reflective side while ∠S is on the reflective as well. 
There fore this answer is correct . 

YOUR ANSWER IS. 
D.) ∠O = ∠S 

Good Luck! :)


6 0
3 years ago
Find the Product<br> (2 X 6) X 10 to the power of 3
photoshop1234 [79]

Answer:

 1728000

Step-by-step explanation:

You always work from the parenthesis first because of order of operation. You have 12( because 2 times 6) then mulitply 12 times 10. You get 120 then you multiply it but itself 3 times. 120 x 120 x 120= 1728000

6 0
3 years ago
Read 2 more answers
Determine what comes next in the given pattern.<br><br>15, 10, 14, 10, 13, 10,​
mojhsa [17]

Answer:

→ 12..........

I hope this will help you....

8 0
3 years ago
Read 2 more answers
Help with number 5 thx
Temka [501]

First, we find the area of the circle.

A = pi * r^2

A = pi * (1 cm)^2

A = pi cm^2

The area of the circle is pi cm^2.

The area of the triangle is also pi cm^2.

Now we use the area of a triangle.

A = (1/2)bh

(1/2)bh = A

(1/2)(3 cm)h = pi cm^2

(3 cm)h = 2pi cm^2

h = (2/3)pi cm

The exact height is \dfrac{2\pi}{3} ~cm

If you want an approximate height, then it is 2.09 cm.

3 0
3 years ago
Help me please find the answer
dangina [55]
I’m pretty sure k=59 degrees since the area of a triangle is 180 so you just subtract the angles you already have to find the other one
3 0
3 years ago
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