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3 years ago

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Critique Reasoning: A student says that the perimeter of a rectangle with side lengths (2x – 1) inches and 3x inches can be writ

ten as (5x - 1)
inches, because (2x – 1) + (3x) = 5x – 1. Explain why this statement is
incorrect.

1 answer:

elena-s [515]3 years ago

3 0

Juyfftyyyyyygghjjjjjgteeedfehjedjdudududushejejsjsjejejeu

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The top of the desk is shaped like a trapezoid the bases of the trapezoid are 26.5 and 30 cm long the area of the desk is 791 CM

kotegsom [21]

Answer:

28 cm

Step-by-step explanation:

Given that :

Area = 791 cm

Base, b1 = 26.5 cm

Base, b2 = 30 cm

Area, A of trapezoid :

A = 1/2 (a + b) h

Where a and b are the bases ;

791 = 1/2(26.5 + 30)h

791 = 0.5(56.5)h

791 = 28.25h

h = 791 / 28.25

h = 28 cm

5 0

3 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

(14+42-6)/10+7^2 order of operation

Rainbow [258]

Answer:

54

Step-by-step explanation:

$\dfrac{(14+42-6)}{10}+7^2$

Parentheses (14 + 42 - 6) = 50:

⇒ 50/10 + 7²

Exponents 7² = 49:

⇒ 50/10 + 49

Multiplication/division 50/10 = 5:

⇒ 5 + 49

Addition/subtraction: 5 + 49 = 54

⇒ 54

6 0

3 years ago

Pl help it’s for a grade

Otrada [13]

Answer:

The initial fee

Step-by-step explanation:

Thats the fee to sort of set up the membership, the 15 is the monthly cost, and m is the months you use the membership. Make sense?

5 0

3 years ago

The distances from Frisco, Texas to Lincoln, Nebraska is 621 miles. if a driver averages 51.75 miles per hour, approximately wha

True [87]

Givens

D = 621 miles

r = 51.75

t = ?

Formula

d = r * t

Solve

621 miles = 51.75 * t Divide by 51.75

621 / 51.75 = t

t = 12 hours.

Answer B

4 0

3 years ago