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3 years ago

Answer in factored form 13+14m+m^2

Mathematics

2 answers:

eduard3 years ago

6 0

What 2 numbers multiply to 13 and add to 14?
13 and 1
(1+m)(13+m)

natta225 [31]3 years ago

5 0

Solution

m = {-13, -1}

You might be interested in

Which statements are true about ΔJKL and ΔLMN? Select all that apply.

svp [43]

Answer:

A. ΔJKL and ΔLMN have only one pair of angles that are congruent

C. ΔJKL has angles that measure $50^o,60^o,70^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

$m\angle KLJ=m\angle MLN$ ----> by vertical angles

substitute the given values

$(6x-2)^o=(5x+10)^o$

solve for x

$6x-5x=10+2\\x=12$

step 2

Find the measure of the interior angles of triangle JKL

we have

$m\angle KLJ=(6(12)-2)=70^o$

$m\angle KJL=(5(12))=60^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle JKL=180^o-130^o=50^o$

therefore

Triangle JKL has angles that measure $50^o,60^o,70^o$

step 3

Find the measure of the interior angles of triangle LMN

we have

$m\angle MLN=(5(12)+10)=70^o$

$m\angle LMN=(6(12)-7)=65^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle LNM=180^o-135^o=45^o$

Triangle LMN has angles that measure $45^o,65^o,70^o$

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding angles of triangle JKL and LMN are not congruent

therefore

The triangles are not similar

Verify each statement

Part a) ΔJKL and ΔLMN have only one pair of angles that are congruent

The statement is true (see the explanation)

Part b) ΔJKL and ΔLMN have two pairs of angles that are congruent

The statement is false

Because have only one pair of angles that are congruent

Part c) ΔJKL has angles that measure $50^o,60^o,70^o$

The statement is true (see the explanation)

Part d) ΔLMN has angles that measure $50^o,60^o,70^o$

The statement is false

Because, Triangle LMN has angles that measure $45^o,65^o,70^o$

Part e) ΔJKL and ΔLMN are similar

The statement is false

Because, the corresponding angles are not congruent

6 0

3 years ago

Please help!! Bots will be taken down.

Anuta_ua [19.1K]

www/trixixixs.com/edit

3 0

2 years ago

Rhett decides to build a square room for his movie and music collection. If the area of the room is 16x2 − 24x + 9 square feet,

timurjin [86]

Answer:

16x^2 - (12+12)x + 9

16x^2 -12x -12x +9

4x(4x-3)-3(4x-3)

(4x-3)(4x-3)

hence length of one side is 4x-3

8 0

1 year ago

Read 2 more answers

Is this correct or am I off?

seropon [69]

Answer:

You are correct

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Pls help will mark brainiest

malfutka [58]

Answer:

35
x 100
00
500

Step-by-step explanation:

35 divided by 7 is 5. 3,500 is 35 x 100. 35 hundreds (3,500) divided by 7 is 5 hundred (5 with 00 at the end). 3,500 divided by 7 is 500.

Hope it helps!

7 0

2 years ago