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Andrei [34K]
2 years ago
11

Name an angle bisector shown in the figure. DE AB GB CF

Mathematics
1 answer:
expeople1 [14]2 years ago
6 0

Answer:

CF

Step-by-step explanation:

we know that

An <u><em>angle bisector</em></u> is a line that divide an angle into two equal angles.

In this problem

m\angle ACF=m\angle FCD ---> given problem

m\angle ACD=m\angle ACF+m\angle FCD ---> by addition angle postulate

so

CF is an angle bisector of angle m\angle ACD

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Answer:

1, -5/2, 3

Step-by-step explanation:

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When John bought his new computer he purchased an online computer help service. The help service has a yearly fee of 25.50 and a
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Jackson bought 3 pounds of candies for $9.75.
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I NEED HELP PLEASE, THANKS! :)
Alenkasestr [34]

Answer:

Option A

Step-by-step explanation:

This is a great question!

The first thing we want to do here is to graph the system of " inequalities " -

\begin{bmatrix}2x+9y\le \:100\\ 9x+y\le \:54\end{bmatrix}

As x is ≥ 0, respectively y ≥ 0, it makes things a lot simpler, as it kind of restricts us to quadrant 1, but not entirely.

First change each inequality to " slope - intercept " form, as such -

2x + 10y \leq 100,\\10y \leq 100 - 2x,\\y \leq - 1 / 5x + 10\\----------\\9x + y \leq 54,\\y \leq - 9x + 54

The graphed solutions would be in the attachment. I have colored the region with which the two intersect, and the fact that we are limited to quadrant 1. In this colored region there are 3 major points, ( 5, 9 ), ( 0, 10 ), and ( 6, 0 ). We have to determine which of these are are maximum points, as the minimum are the same. Substitute these values ( ( 5, 9 ), ( 0, 10 ), and ( 6, 0 ) ) into the equation f( x, y ) = 10x + 4y,

f ( x, y ) = 10( 5 ) + 4( 9 ),\\f ( x, y ) = 86 -\\f ( x, y ) = 10( 0 ) + 4( 10 ),\\f ( x, y ) = 40 -\\f ( x, y ) = 10( 6 ) + 4( 0 ),\\f ( x, y ) = 60

( 5, 9 ) resulted in the greatest amount, 86. That would make it our maximum point -

<u><em>Solution = Option A</em></u>

3 0
3 years ago
Machine A produces bolts at a uniform rate of 120 every 40 seconds, and Machine B produces bolts at a uniform rate of 100 every
Nutka1998 [239]

Answer:

25 seconds

Step-by-step explanation:

Hi there!

In order to answer this question, first we need to know how many bolts per second are produced by each machine, this can be known by dividing the number of bolts by the time it takes.

For machine A:

A = \frac{120 bolts}{40 s}= 3 \frac{bolts}{s}

For machine B:

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So, if the two machines run simultaneously, we will have a rate of prodcution of bolts equal to the sum of both:

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So it will take 25 seconds to produce 200 bolts with machine A and B running simultaneously.

Greetings!

4 0
3 years ago
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