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Natasha_Volkova [10]

2 years ago

10

Leia cuts congruent triangular patches with an area of 27 square centimeters from a rectangular piece of fabric that is 27 centi

meters long and 9 centimeters wide. How many of the patches can Leia cut from 28 pieces of the fabric?(pls help)

1 answer:

Rama09 [41]2 years ago

6 0

27>28 57 only a praise

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This graph represents the relationship between the x and y.

s344n2d4d5 [400]

Answer:

Therefore, x is 1 and 2.

Step-by-step explanation:

As you plot both equations on the same graph, you will get something like this, shown in the graph.

Then, you have to find the x solutions where they intersect.

So, both equations intersect at x = 1 and 2.

4 0

2 years ago

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

so

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

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

so

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

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

<u><em>Verify each statement</em></u>

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

One number is three more than a second number. Three times the first is 13 less than 5 times the second.

irakobra [83]

14 and 11

let x be the second number then the first number = x + 3 ( 3 more than second)

Also 3(x + 3) = 5x - 13

3x + 9 = 5x - 13

subtract 3x from both sides

9 = 5x - 3x - 13

9 = 2x - 13

add 13 to both sides

22 = 2x

divide both sides by 2

11 = x → second number

first number = x + 3 = 11 + 3 = 14

6 0

3 years ago

What is the completely factored form of this polynomial?<br> – 8x²+<br> + 16

Zanzabum

Answer:

-8(x²-2)

Step-by-step explanation:

Factor -8 out of -8x²

-8(x²)+16

Factor -8 out of 16.

-8(x²)-8(-2)

Factor -8 out of -8(x²)-8(-2).

7 0

2 years ago

What percentage of rupees 20 is rupees 12?

slavikrds [6]

Let x℅

so , 20×X/100=12

......x=1200/20 = 60 ℅ ...answer !

5 0

2 years ago