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Paul [167]
3 years ago
11

Given o below the arcs, wx and yz must be congruent.

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
4 0

Answer:

True.

Step-by-step explanation:

The arcs subtend the same equal angles at the center of the circle, i.e ∠YOZ=∠WOX= 27°. They are also bound by radii. All radii of the same circle are equal thus he two arcs are equal in length. OY= WO= XO= OZ

Therefore the two arcs wx and yz are congruent

 

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If one of the roots of the equation x²- 4x + k=0exceeds the other by 2, then find the roots and determine the value of k
BaLLatris [955]

Answer:

roots: 1 and 3

k = 3

Step-by-step explanation:

2 roots: p and p+2

(x-p) (x-p-2) = x² - 4x + k

x² -2px -2x + p² + 2p = x² - 2 (p+1)x + (p² + 2p) = x² -4x + k

-2 (p+1) = -4

p+1 = 2

p = 1   ... root 1

p' = 1+2 = 3   ... root 2

k = p² + 2p = 3

check: (x-1) (x-3) = x² - 4x + 3 = x² - 4x + k

6 0
3 years ago
What is the range of the given set of ordered pairs?<br> (9,-2) (4,3) ( 8, 10) (-4, 8)
otez555 [7]

Answer:

(-2,3,10,8)

Step-by-step explanation:

eg

(x,y)=(domain,range)

x components are domain and y components are range in the given set of ordered pairs

8 0
3 years ago
A person purchased 10 items to donate to a school. They bought backpacks that cost $25.75 each and notebooks that cost $4.25 eac
krek1111 [17]

Answer:

D

Step-by-step explanation:

6 0
3 years ago
5(2x – 3) = 5 Part A: How many solutions does this equation have? (4 points) Part B: What are the solutions to this equation? Sh
Maru [420]

ANSWER

a) One Solution

b) the solution is x=2

EXPLANATION

The given equation is:

5(2x - 3) = 5

We expand to get;

10x - 15 = 5

Group similar terms;

10x = 15 + 5

This implies that,

10x = 20

Divide both sides by 10 to obtain,

x = 2

7 0
3 years ago
Please help, it's urgent!
KengaRu [80]
It’s the first answer choice... the translation was 5 units to the right (horizontal movement so it affects the x) and it’s to the right (which makes it a positive 5). It didn’t move up or down so the y stays the same

Hope it helps
4 0
3 years ago
Read 2 more answers
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