If we fold 1 mm of cardstock in half and fold it again in half we have a stack of 4 layers that is 4 mm high . If we fold the cardstock in haf 10 times how thick would the stack of cardstock layers be

Answer:

Horizontal and vertical lines are perpendicular. So angles B&E .All right angles are 90°.

i hope you're helped

Horizontal and vertical lines are perpendicular. So, angles B and E are right angle by definition of perpendicular lines. All right angles are 90°/congruent/equal.

Two triangles are said to be similar if the triangles are of the same shape but different size. The angles of the triangle will be equal and the sides are proportional.

Given are two triangles ABC and DEF.

Two triangles are similar if all the corresponding angles are equal and the corresponding sides are proportional.

Here, given that,

AB / DE = BC / EF = 1 / 2.

So, two corresponding sides are proportional.

SAS similarity postulate is that, if two corresponding sides of two triangles are proportional and the corresponding included angle is congruent, then the two triangles are similar.

So we have to prove included angle B and E are equal.

A horizontal and vertical lines are always perpendicular.

Here B and E are formed by a horizontal and a vertical line.

So they are right angles.

All right angles are 90°. So they are equal or congruent.

So Triangles ABC and DEF are similar by SAS.

Learn more about Similar Triangles here :

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Answer:

2r+7

Step-by-step explanation:

(4r+3)+(−2r+4)

Combine 4r and −2r to get 2r.

2r+3+4

Add 3 and 4 to get 7.

2r+7

:)

Answer

1.5/4

Step-by-step explanation:

Answer:

perimeter=2(l+w).

2(10+6)

2(16)

32cm.

b)2(8+6)

2(14)

28

c)2(11+10)

2(21)

42.

d)2(20+15)

2(35)

70.

Step-by-step explanation:

7/20

=0.35

35%

=35/100

=0.35

Hence, 7/20=35%

The fraction equivalent of the given fractions with the same denominator is written as [tex]\frac{56}{100} \ and \ \frac{55}{100}[/tex]

The given parameters include:

[tex]\frac{14}{25} \ and \ \frac{11}{20}[/tex]

To rewrite the given fractions to have the same denominator, we must find the LCM of the denominators;

The prime factorization of 25 = 5²

The prime factorization of 20 = 5 x 2²

The LCM of the two numbers = 5² x 2²  = 25 x 4 = 100

The fractions can rewritten as follows;

[tex]\frac{14}{25} \ = \frac{14}{25} \times \frac{4}{4} = \frac{14 \times 4}{25 \times 4} = \frac{56}{100} \\\\\frac{11}{20} \ = \frac{11}{20} \times \frac{5}{5} = \frac{11 \times 5}{20 \times 5} = \frac{55}{100}[/tex]

Thus, the fraction equivalent of the given fractions with the same denominator is written as [tex]\frac{56}{100} \ and \ \frac{55}{100}[/tex]

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Answer:

Answer below

Step-by-step explanation:

Expanded form : 20 + 8 + 0.6 + 0.03

Expanded form is a way of writing numbers to see the individual math value of digits.

Word form: twenty eight point six three.

HOPE THIS HELPED

Answer:

B. y = [tex]\frac{2}{15} X + 2[/tex]

Step-by-step explanation:

I. Given x = 15 and y = 4

         4 = [tex]\frac{2}{15}(15) + 2[/tex]

         4 = 2+2

         4 = 4 true

II. Give x = 0 and y = 2

         2 = [tex]\frac{2}{15}(0) + 2[/tex]

         2 = 0 + 2

         2 = 2 true

III. Given x = -15 and y = 0

         0 = [tex]\frac{2}{15}(-15) + 2[/tex]

         0 = -2 + 2

        0 = 0 true

Good luck.

9514 1404 393

Answer:

  1.5 and 1.6

Step-by-step explanation:

√2 ≈ 1.41421356...

√3 ≈ 1.7320508...

1.5 and 1.6 are between these numbers

__

If you need the ratio of integers, these numbers are 3/2 and 8/5.

Answer:

B in the photo

Step-by-step explanation:

another way to write the problem:

square root is also taking the 1/2 power:

[tex](4x)^{1/2} * (x+7)^{1/2} \\[/tex]

since they are raised to the same power:

[tex](4x * (x+7))^{1/2}\\(4x^2 + 28x)^{1/2}\\\\=\sqrt{4x^2 + 28x}[/tex]

Answer:

distributive property

Answer:

33.66

Step-by-step explanation:

Answer:

a. isosceles

b. isosceles

c. scalene

a=2 b=3 and c=4. then,

a2+2abc+b2+c2

a2+2abc+b2+c2= 2^2+2×2×3×4+3^2+4^2

(replace value of a, b, c by2,3,4 respectively tgen solve)

= 4+48+9+16

= 77………………

Therefore, 77 is correct answer.

Answer:

4x + 2(x - 3) = 4x + 2x - 11 4x + 2x - 6 = 4x + 2x - 11 6x - 6 = 6x - 11 6x - 6x = -11+ 6 O = -5...incorrect...this has no solution...0 solutions one property used was the distributive property :2(x - 3) = 2x - 6

Answer:

foil method

add/subtract like terms

Step-by-step explanation:

b×2b=2b²

b×9=9b

-7×2b=-14b

-7×9=-63

-14b+9=-5

=2b²-5b-63

Answer:

[tex]f(2) = \frac{3}{2x - 5} [/tex]

Answer:

Step-by-step explanation:

the x axis

Answer: 34

Step-by-step explanation:

[tex]a=3+2\sqrt{2} \\\\\dfrac{1}{a} =\dfrac{1}{3+2\sqrt{2}} =\dfrac{3-2\sqrt{2}}{(3+2\sqrt{2})(3-2\sqrt{2})} =\dfrac{3-2\sqrt{2}}{3^2-2^2*2} =3-2\sqrt{2}\\\\\\a+\dfrac{1}{a} =3+2\sqrt{2}+3-2\sqrt{2}=6\\\\(a+\dfrac{1}{a})^2=6^2=36=a^2+\dfrac{1}{a^2}+2\\\\\\a^2+\dfrac{1}{a^2}=36-2=34\\[/tex]

Answer:

your gonna have to give me more details

Step-by-step explanation:

is this even a question

9514 1404 393

Answer:

  N55.44

Step-by-step explanation:

The bill is multiplied by 1+10% = 1.10 after the first increase. The second increase multiplies that by 1+20% = 1.20. After 18 months, the bill is ...

  N42 × 1.10 × 1.20 ≈ N55.44 . . . . price after 18 months

Answer:

I need to see the rectangular solid

9514 1404 393

Answer:

  π ft ≈ 3.14 ft

Step-by-step explanation:

The angle is 1/12 of the number of degrees in a circle, so the arc length will be 1/12 of the circumference of the circle.

 C = 2πr

 1/12C = 2/12π(6 ft) = π ft ≈ 3.14 ft

The arc length is about 3.14 feet.

Answer:

1/2

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Answer:

B. [tex] {a}^{ - 7 - 10} [/tex] (second option)

Step-by-step explanation:

[tex] \frac{ {a}^{ - 7} }{ {a}^{10} } [/tex]

[tex] {a}^{ - 7 - 10} [/tex]

[tex] - 7 - 10 = - (7 + 10) = - 17[/tex]

Answer:

D

Step-by-step explanation:

b/c 90 - 14 = 76 .........