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kodGreya [7K]
3 years ago
8

Please help me on this math

Mathematics
1 answer:
oee [108]3 years ago
3 0

The answer is D.

Good luck!

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16. a) In the given figure, OB bisects ABC and OC bisects ACB, prove that BOC - BAC = ABO+ACO.​
levacccp [35]

Answer:

Points ABC and points OBC form two separate triangles. Triangle ABC is made up of angles BAC, ABC, ACB, while triangle OBC is made up of angles BOC, OBC, OCB. Since interior angles of triangles add up to 180 degrees, m<BAC + m<ABC + m<ACB = 180 and m<BOC + m<OBC + m<OCB = 180. 180 is equal to 180, so m<BAC + m<ABC + m<ACB = m<BOC + m<OBC + m<OCB.

Since OB bisects <ABC and OC bisects <ACB, m<ABO = m<OBC and m<ACO = m<OCB. We can also say that m<ABC = 2m<ABO and m<ACB = 2m<ACO. Substitute and simplify the equation.

m<BAC + m<ABC + m<ACB = m<BOC + m<OBC + m<OCB

m<BAC + 2m<ABO + 2m<ACO = m<BOC + m<ABO + m<ACO

m<ABO + m<ACO = m<BOC - m<BAC

4 0
2 years ago
The first term of an arithmetic sequence is 8. The difference of this sequence is 2. Which equation can be used to find the nth
VARVARA [1.3K]

Answer:

a_{n} = 2n + 6

Step-by-step explanation:

The nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = 2 , then

a_{n} = 8 + 2(n - 1) = 8 + 2n - 2 = 2n + 6

6 0
3 years ago
Round off 4095 nearest hundreds​
ivolga24 [154]

Answer:

4100

Step-by-step explanation:

Rounding means making a number simpler but keeping its value close to what it was. Visual image below of showing different places to round. Given to make rounding's more clear and easier for you.

6 0
2 years ago
Read 2 more answers
Estimate 2,141 x 8 i need it now
irakobra [83]
17128.........................
6 0
3 years ago
1) a) Factorize: G(x) = (x+5)2 – 3x(x+5).
Arada [10]

Answer:

In bold.

Step-by-step explanation:

a.  (x+5)^2 – 3x(x+5)     x+5 is common

= (x + 5)(x + 5 - 3x)

= (x + 5)(5 - 2x)

b.  (x + 5)(5 - 2x) = 0

x = -5, 2.5.

2a.   Area of the square = (x + 5)^2

Area of triangle AEB

= 1/2 * base * height  

I am assuming that  H is the centre of AB , so

Area = x*x

= x^2.

2b

6x^2 = (x + 5)^2

6x^2 = x^2 + 10x + 25

5x^2 - 10x - 25 = 0

x^2 - 2x - 5 = 0

x = [-(-2) +/- sqrt(2^2 - 4*1*-5)] / 2

x = -1.45, 3.45.

 (we ignore the negative).

8 0
3 years ago
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