MATHEMATICS HIGH SCHOOL

Question 5Two similar triangles are shown in the diagram below, where
AABC - ADEF.
Based on the dimensions in the diagram, what is the
perimeter of AABC?
A-9 in.
B-10 in.
C-9.5 in.
D-10.5 in.

Answers

Answer 1

Answer:

Answer:

Perimeter of ΔABC is 9.5 in.

Step-by-step explanation:

Given:

ΔABC $\sim$ ΔDEF

DE = 6 in.

EF = 5.25 in.

DF = 3 in.

AB = 4 in.

We need to find the Perimeter of ΔABC.

Solution:

First we will find the sides of ΔABC.

Now By Triangle similarity property which states that:

"When two triangles are similar the the ratio of their corresponding sides are equal."

From Above property we can say that;

$(AB)/(DE) =(BC)/(EF)=(AC)/(DF)\n\n(4)/(6)=(BC)/(5.25)=(AC)/(3)$

Now we will find BC and AC

$(4)/(6)=(BC)/(5.25)\n\nBC = (4*5.25)/(6)= 3.5 \ in$

Also;

$(4)/(6)=(AC)/(3)\n\nAC = (4*3)/(6) = 2 \ in$

Now In ΔABC

AB = 4 in

BC = 3.5 in

AC =2 in.

Now Perimeter of ΔABC can be calculated as sum of all sides.

Perimeter of ΔABC = AB +BC +AC = 4 + 3.5 + 2 = 9.5 in

Hence Perimeter of ΔABC is 9.5 in.

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Which represents the polynomial written in standard form?

4m – 2m4 – 6m2 + 9

Answers

Answer:

Step-by-step explanation:

Alright, lets get started.

The given polynomial is : $4m-2m^4-6m^2+9$

In the standard form, the highest power term is written first

Then second highest power is written and follows the same rule further

Here the highest power term is $-2m^4$

The second highest power term is $-6m^2$

The third highest power term is $4m$

Last term is 9

So, the standard form is :

$-2m^4-6m^2+4m+9$ : Answer

Hope it will help :)

|-4k|>16 Solve inequality. Graph the solution set on a number line.

Answers

Answer (it has two solutions):

k > 4
k < -4

I hope this helps!

Can a system of linear equation have exactly 2 solutions ? why or why not?

Answers

Answer:

Under normal circumstances a system of two linear equations can have 0, 1 or infinitely many solutions.

Step-by-step explanation:

HELP ME ASP I NEED A GOOD GRADE ON THIS.

Answers

Answer: Just follow the chart

Step-by-step explanation:

Bryan plays on the high school basketball team. In his first ten games he scored 12, 14, 8, 9, 8, 16, 8, 13, 22, and 19 points. Choose and calculate the best measure of central tendency to represent Bryan's scoring over the first ten games. Justify your choice.

Answers

The best tendency is the "middle" or "most common" value, so basically it's either the mean or the mode- in this case we use the mode and we can see 12,14,8,9,8, 13, 22 ,19 so 8,8,9,12,13,14,18,22 ; the answer is 13

on sara's computer, 3/8 of the hard drive is files. Of the files, 1/6 are games . What part of the hard drive is games?