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3 years ago

What is the measure of angle x? Enter your answer in the box.

Mathematics

2 answers:

ANEK [815]3 years ago

8 0

Answer:

x = 48°

Step-by-step explanation:

As we can see:

42° + 90° + x = 180°

x = 90° - 42°

x = 48°

The straight line is 180 degrees. So we just need to put the sum equal to that, and solve the equation

Cloud [144]3 years ago

7 0

Answer:

the measure of angle x is 48

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Write an algebraic expression for the word expression <br> the quotient of c and 8

In-s [12.5K]

Answer:

c/8

Step-by-step explanation:

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4 years ago

The points A(1, 4), B(5,1) lie on a circle. The line segment AB is a chord. Find the equation of a diameter of the circle.

tangare [24]

Check the picture below.

well, we want only the equation of the diametrical line, now, the diameter can touch the chord at any several angles, as well at a right-angle.

bearing in mind that <u>perpendicular lines have negative reciprocal</u> slopes, hmm let's find firstly the slope of AB, and the negative reciprocal of that will be the slope of the diameter, that is passing through the midpoint of AB.

$\bf A(\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{5}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{1}}}\implies \cfrac{-3}{4} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{slope of AB}}{-\cfrac{3}{4}}\qquad \qquad \qquad \stackrel{\textit{\underline{negative reciprocal} and slope of the diameter}}{\cfrac{4}{3}}$

so, it passes through the midpoint of AB,

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{5}~,~\stackrel{y_2}{1}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{5+1}{2}~~,~~\cfrac{1+4}{2} \right)\implies \left(3~~,~~\cfrac{5}{2} \right)$

so, we're really looking for the equation of a line whose slope is 4/3 and runs through (3 , 5/2)

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{\frac{5}{2}}) \stackrel{slope}{m}\implies \cfrac{4}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{\cfrac{5}{2}}=\stackrel{m}{\cfrac{4}{3}}(x-\stackrel{x_1}{3})\implies y-\cfrac{5}{2}=\cfrac{4}{3}x-4 \\\\\\ y=\cfrac{4}{3}x-4+\cfrac{5}{2}\implies y=\cfrac{4}{3}x-\cfrac{3}{2}$

4 0

3 years ago

What was the approximate number of mobile cellular subscriptions per 100 people in zimbabwe in 2003?

Leona [35]

In this case, i think you just need to divide the amount of telephone subscription and divide it among 100 people

For example, let's say that there is around 2,000,000 subscription for 100,000 users.
The amount would be : 2,000,000 / 1,000
= 2,000 number of mobile per 100 people

hope this helps

5 0

3 years ago

Read 2 more answers

Help me plz !!!!!!!!!!

kiruha [24]

Answer:

The answer is b. 72.3cm

Step-by-step explanation:

11.5cm is the radius

To find the circumference multiply the radius by 2 then multiply it again by 3.14

3.14 is the beginning of pi.

e.g - 2 × 3.14 x 11.5