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Elena-2011 [213]
4 years ago
6

Points A, B, and C are collinear. Find the value of x given AB = 3x, BC = 5x + 10. and AC = 74.​

Mathematics
1 answer:
Mars2501 [29]4 years ago
6 0

Answer:

x = 8

Step-by-step explanation:

since it's a collinerar

or, AB+BC=AC

or, 3x+5x+10 = 74

or, 8x = 74-10

or, 8x = 64

or, x = 64/8

x = 8

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Solve for n: -8+n=23
BARSIC [14]

<u>Answer:</u> n=31

<u>Reasoning:</u> -8+n=23

First add  8 to both sides (-8+8 and 23+8)

n=31

7 0
3 years ago
Read 2 more answers
A pet store has 80 geckos and anole lizards altogether.
larisa86 [58]
I don’t know what your trying to find but you basically create an equation, like this
3x+5x=80
and solve which would result in x=10
so there is
30 geckos
and
50 anole lizards
4 0
2 years ago
Please help me answer one of these!
babunello [35]

This seems to be referring to a particular construction of the perpendicular bisector of a segment which is not shown. Typically we set our compass needle on one endpoint of the segment and compass pencil on the other and draw the circle, and then swap endpoints and draw the other circle, then the line through the intersections of the circles is the perpendicular bisector.


There aren't any parallel lines involved in the above described construction, so I'll skip the first one.


2. Why do the circles have to be congruent ...


The perpendicular bisector is the set of points equidistant from the two endpoints of the segment. Constructing two circles of the same radius, centered on each endpoint, guarantees that the places they meet will be the same distance from both endpoints. If the radii were different the meets wouldn't be equidistant from the endpoints so wouldn't be on the perpendicular bisector.


3. ... circles of different sizes ...


[We just answered that. Let's do it again.]


Let's say we have a circle centered on each endpoint with different radii. Any point where the two circles meet will then be a different distance from one endpoint of the segment than from the other. Since the perpendicular bisector is the points that are the same distance from each endpoint, the intersection of circles with different radii isn't on it.


4. ... construct the perpendicular bisector ... a different way?


Maybe what I first described is different; there are no parallel lines.



8 0
4 years ago
If two dice are rolled one time, find the probability of getting: a sum grater than 10\
lilavasa [31]
If two dices are rolled once, you would have a total number of 6*6=36 possibilities.
To get a sum greater than 10:
A) one of your dices could be showing a 5, the other a 6. That’s two possibilities. Dice A being the 5 or dice B being the 5.
B) both of your dices could be showing 6s.
That’s one possibility.
So your overall possibility to get a sum greater than 10 is (1+2)/36 3/36=1/12
One twelfth.
4 0
3 years ago
a builder is building a fence with 6 and 1/4 inch wide wooden boards arranged side-by-side with no gaps. How many borders are ne
Ne4ueva [31]
<h2>Number of boards required is 24</h2>

Step-by-step explanation:

A builder is building a fence with 6 and 1/4 inch wide wooden boards arranged side-by-side with no gaps.

\texttt{Length of 1 board = }6\frac{1}{4}in\\\\\texttt{Length of 1 board = }\frac{6\times 4+1}{4}=\frac{25}{4}in

We need to build a fence that is 150 in long​.

Length of fence = Number of boards required x Length of 1 board

150=\texttt{Number of boards required }\times \frac{25}{4}\\\\\texttt{Number of boards required }=\frac{150\times 4}{25}\\\\\texttt{Number of boards required }=6\times 4=24

Number of boards required = 24

5 0
3 years ago
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