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2 years ago

What is the measure of the angle between a perpendicular bisector and the segment it is bisecting? A. 180° B. 90° C. 45° D. 0°

1 answer:

6 0

If something is perpendicular to something else, it intersects it at 90 degrees. So, it there is a bisector perpendicularly bisecting a segment, it means they are crossing at a 90 degree angle. Your answer should be B.

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Please help me! Find the number x such that f(x) =1

STatiana [176]

Answer:

Step-by-step explanation:

We have the piecewise function:

$f(x) = \left\{ \begin{array}{ll} -\frac{1}{2}x-1 & \quad x \leq -2 \\ x & \quad x > -2 \end{array} \right.$

And we want to find x such that f(x)=1.

So, let's substitute 1 for f(x):

$1 = \left\{ \begin{array}{ll} -\frac{1}{2}x-1 & \quad x \leq -2 \\ x & \quad x > -2 \end{array} \right.$

This has two equations. So, we can separate them into two separate cases. Namely:

$1=-\frac{1}{2}x-1\text{ or } 1=x$

Let's solve for x in each case.

Case I:

We have:

$1=-\frac{1}{2}x-1$

Add 1 to both sides:

$2=-\frac{1}{2}x$

Let's cancel out the fraction by multiplying both sides by -2. So:

$2(-2)=(-2)\frac{-1}{2}x$

The right side cancels:

$-4=x\\$

Flip:

$x=-4$

So, x is -4.

Case II:

We have:

$1=x$

Flip:

$x=1$

This is the solution for our second case.

So, we have:

$x_1=-4\text{ or } x_2=1$

Now, can check to see if we have to to remove solution(s) that don't work.

Note that x=-4 is the solution to our first equation.

The first equation is defined only if x is less than -2.

-4 is less than -2. So, x=-4 is indeed a solution.

x=1 is the solution to our second equation.

The second equation is defined only if x is greater than or equal to -2.

1 is greater than or equal to -2. So, x=1 is also a solution.

Therefore, our two solutions are:

$x_1=-4\text{ or } x_2=1$

Out of our answer choices, we can pick D.

And we're done!

7 0

2 years ago

There are 685 Students 80 Percent of them are going on a feild trip how many students are going on the feild trip

marin [14]

685 students X 0.80 = 548 students going on the field trip.

6 0

2 years ago

Read 2 more answers

Find the missing lengths of the sides

dusya [7]

Answer:

a=9, c=19

Step-by-step explanation:

Aight so basically in 30, 60, 90 triangles there is a formula for the sides

the hypotenuse(the longest side)=2a

The tiny side (the smallest side)=a

and the middle child = $a\sqrt{3}$

Based on that we see that a is 9

and since c=2a then it's 18

4 0

2 years ago

Read 2 more answers

Please help me Idk this

algol13

2.8 because the tenths place is right after the decimal point.

4 0

2 years ago

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Jamie's balance in his checking account is $259.68 on Monday. On Tuesday, he writes checks for: $25.99, $16.58, $32.86, $85.22.

weqwewe [10]

All you have to do is find the total amount he wrote out checks for and then subtract that from $259.68. The answer is $99.03

8 0

2 years ago