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3 years ago

Find the value of x. 4 14 3 6

Mathematics

2 answers:

nadezda [96]3 years ago

5 0

Hello from MrBillDoesMath!

Answer:

Discussion:

As vertical angles are equal, Angle 3 = Angle 2, so

Angle 3 = 3x + 2 (A)

Angles 3 and 7 are corresponding angles and hence equal. So

Angle 3 = Angle 7 => use (A) above and Angle 7 = x + 10

3x + 2 = x + 10 => subtract x from both sides

3x -x + 2 = x - x + 10 =>

2x + 2 = 10 => subtract 2 from both sides

2x = 10 -2 = 8

x = 8/2 = 4

which is the first choice

Thank you,

MrB

belka [17]3 years ago

4 0

The answer is A.) 4..

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1 year ago

Find the value of b.

Nesterboy [21]

Answer: $230^{\circ$

Step-by-step explanation:

For convenience, I labeled some points as shown in the attached picture.

Also, I assume $\overline{AB}$ and $\overline{BC}$ are tangents to the circle.

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Therefore, we know $\triangle ABO \cong \triangle CBO$ by HL.

Thus, by CPCTC,

$\angle AOB \cong \angle BOC \implies m\angle BOC=65^{\circ}\\\\\implies m\angle AOC=130^{\circ}$

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1 year ago

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2 years ago

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3 years ago

The points (10,14) and (35,49) form a proportional relationship. Find the slope of the line through the points. Then use t

Readme [11.4K]

The slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points (10,14) and (35,49) form a proportional relationship.

<h3>What is the slope?</h3>

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

$\rm m =\dfrac{y_2-y_1}{x_2-x_1}$

From the above formula, we can find the slope of the line:

m = (49-14)/(35-10)

m = 35/25

m = 7/5

The equation will be:

y = 7x/5 + c

here c is the y-intercept

Plug (10, 14) in the equation to find the value of c

14 = 7(10)/5 + c

c = 0

y = 7x/5 or

5y - 7x = 0

Thus, the slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points (10,14) and (35,49) form a proportional relationship.

Learn more about the slope here:

brainly.com/question/3605446

#SPJ1

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1 year ago