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MariettaO [177]
3 years ago
12

Joel is constructing a line perpendicular . He has already constructed three arcs as shown. Use the image to answer the question

. He moves his compass point to W to construct a fourth arc.
What must be true about the width of Joel’s compass opening before he draws the arc?

It must be narrower than it was when constructing the arc above P.

It must be the same as it was when constructing the arc above P.

It must be wider than it was when constructing the arc above P.

Mathematics
2 answers:
IgorC [24]3 years ago
8 0
<span>It must be the same as it was when constructing the arc above P.</span>
sveta [45]3 years ago
5 0

Answer:

It must be the same as it was when constructing the arc above P.

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What is the value of x? Explain.<br> 12 + x=4
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Answer:

X= -8

Step-by-step explanation:

4-12=-8

You must reverse the problem so that you are solving for x, rather than 4.

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Find the equation of the linethe line passes through the points (5,2) and (-4,-4)
almond37 [142]

Answer:

y =  \frac{2}{3}x -  \frac{4}{3}

Step-by-step explanation:

first find the slope using the above points then use the slope formula to calculate the slope

m =  \frac{y2 - y1}{x2 - x1}  \\  \frac{2 - -  4}{5 -  - 4}  =  \frac{2 + 4}{5 + 4}  =  \frac{6}{9}  =  \frac{2}{3}

substitute ⅔ for m and one of the above points into the y-intercept form of the equation for a line and solve for b

y = mx + b \\ 2 =  \frac{2}{3} (5)  + b \\ 2 =  \frac{10}{3}  + b \\ 2 -  \frac{10}{3}  = b \\  \frac{6}{3}  -  \frac{10}{3}  = b \\ b =  -  \frac{4}{3}

substitute the slope and the value for b into the equation to get the answer

y =   \frac{2}{3} x -  \frac{4}{3}

4 0
3 years ago
(a^3+a^2b/5a)(25/3b+3a)
zheka24 [161]

Answer:

\frac{5a}{3}

Step-by-step explanation:

The given expression is;

(\frac{a^3+a^2b}{5a})(\frac{25}{3b+3a} )

Factorize;

(\frac{a^2(a+b)}{5a})(\frac{25}{3(b+a)} )

Cancel out the common factors;

(\frac{a(1)}{1})(\frac{5}{3(1)} )

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\frac{5a}{3}

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WINSTONCH [101]

The answer to the above question can be explained as under -

We know that, the sum of angles of triangle is 180°.

So, vertex angle plus base angles are equal are equal to 180°.

Let the vertex angle be represented by "v" and base angles be represented by "b".

Thus,  v + b + b = 180°

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Next, the question says, the vertex angle is 20° less than the sum of base angles.

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