What are the answers?

Mathematics

1 answer:

cupoosta [38]1 year ago

7 0

Answer:

Step-by-step explanation:

hello : 12=4x and x-3=0

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BD is tangent to circle O at C, m(arc AEC) = 280, and m(arc ACE) = 140. Find m (The figure is not drawn to scale.)

Zepler [3.9K]

Answer:

The correct answer is second option 60°

Step-by-step explanation:

From the figure we can write,

measure of arc AEC = measure of arc AE + measure of CE

measure of arc ACE = measure of AC + measure of CE

measure of arc AEC + measure of arc ACE = 280 + 140 = 420°

measure of arc AE + measure of CE + measure of AC + measure of CE = 420

measure of arc AE + measure of CE + measure of AC = 360°

measure of CE = 420 - 360 = 60°

The correct answer is second option 60°

8 0

2 years ago

3.The side of a square frame is (2b - 1) inches. Find its area.

sweet-ann [11.9K]

Answer:

Step-by-step explanation:

(a - b)² = a² + 2ab + b²

Area of square frame =side²

= (2b - 1)²

= (2b)² - 2*2b * 1 + 1²

= 4b² - 4b + 1

5 0

2 years ago

What is the value of c so that -12 and 12 are both solutions of x^2-c=108?

murzikaleks [220]

Answer:

c=36

Step-by-step explanation:

Because $x^2-c=108$ can be rewritten as $x^2-c-108=0$ , finding the value of c so that x=(+-)12 solves this equation it means to find the value of c so that $(+-)12^2-c-108=0$ .
Because $12^2=(-12)^2=144$ , we must find c so that $144-c-108=0$ .
Because $144-108=36$ , c=36.
To check, replace c=36 in the initial equation, and check it is a solution for x=(+-)12.

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2 years ago

What is the solution to this system of linear equations?2x + y = 13x – y = –6(–1, 3)(1, –1)(2, 3)(5, 0)

worty [1.4K]

$\underline{+\left\{\begin{array}{ccc}2x+y=1\\3x-y=-6\end{array}\right}\ \ \ \ |\text{add both sides of equations}\\.\ \ \ \ \ 5x=-5\ \ \ \ |:5\\.\ \ \ \ \ \ x=-1\\\\\text{put the value of x to the first equation}\\\\2(-1)+y=1\\-2+y=1\ \ \ |+2\\y=3\\\\\text{Answer:}\ (-1,\ 3)$