Can someone please help me with this?

Mathematics

1 answer:

mash [69]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

∠c = ∠ a = 47° ( vertical angles )

∠c and ∠b form a straight angle and are supplementary, thus

∠c + ∠b = 180, that is

47 + ∠b = 180 ( subtract 47 from both sides )

∠b = 133°

∠d = ∠b = 133° ( vertical angles )

That is a = c = 47° and b = d = 133°

The sum of the 4 angles = 133° + 47° + 47° + 133° = 360°

360° is the sum of the angles round a point , hence answer is correct

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Solve for x 3x-3>x+7

Sever21 [200]

Answer:

x>5

Step-by-step explanation:

6 0

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

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