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Ivanshal [37]
3 years ago
7

in a rectangle, the ratio of the width to the length is 4:5. if the rectangle is 40 centimeters long, find its width.

Mathematics
1 answer:
Troyanec [42]3 years ago
8 0
A the width is 17.7777778

Steps:
4+5 =9
40÷9= 4.44444444
Width: 4.44444444 times 4 = 17.7777778
Length: 4.44444444 times 5 = 22.2222222
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Is 14/18 greater then, less then, or equal to 7/9
Musya8 [376]

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Equal to

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The sum of the first three terms of a sequence is 6 and the fourth term is 16
Sati [7]

Answer:

              a₁ = -5, d = 7,  a₂ = 2, a₃ = 9, a₄ = 16

equation of sequence:    \boxed{\bold{a_n=7n-12}}

Step-by-step explanation:

a₁ + a₂ + a₃ = 6    

a₁ + a₁ + d + a₁ + 2d = 6

3a₁ + 3d = 6

a₁ + d= 2     ⇒ a₁ = 2 - d

a₄ = 16

a₁ + 3d = 16

2 - r + 3d = 16

2d = 14

d = 7

a₁ = 2-7 = -5

a₁ = -5, d = 7   ⇒  a₂ = -5+7 = 2, a₃ = 2+7 = 9, a₄ = 9+7 = 16

equation of arithmetic sequence:

a_n=a_1+d(n-1)\\\\a_n=-5+7(n-1)\\\\\underline{a_n=7n-12}

6 0
3 years ago
Angle e measures 126LaTeX: ^\circ∘. What is the measure of LaTeX: \angle∠h?
Oksana_A [137]

Option C: 126° is the correct answer

Step-by-step explanation:

When two lines intersect, the four angles are formed. The angles vertically opposite with same vertex are called vertical opposite angles.

The opposite vertical angles are equal.

In the given figure, the pairs of vertically opposite angles are e,h and f,g.

Given

∠e = 126°

The measurement of e and h will be equal as they are vertically opposite

So,

m∠e = m∠h

m∠h = 126°

Hence,

Option C: 126° is the correct answer

Keywords: Vertical angles, lines

Learn more about angles at:

  • brainly.com/question/10435836
  • brainly.com/question/10435816

#LearnwithBrainly

6 0
3 years ago
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