The diagonals of rhombus ABCD intersect at E. Given that m∠CAD=20° and CE=4, find the m∠CDA.

Answers

Answer 1

Answer:

< CDA = 140 degrees

Step-by-step explanation:

For a rhombus, the sum of the interior angles is 360 degrees and also the opposite angles are equal i.e <ABC = <CDA and <BAD = <BCD

Given

<CAD = 20 degrees

<BCE = 20 degrees (based on geometry)

<BAD = <CAD + <BCE

<BAD = 20 + 20

<BAD = 40 degrees

Since <BAD = <BCD, then <BCD = 40 degrees

Get <CDA

<CDA + <ABC + <BAD + <BCD = 360

<CDA + <CDA + <BAD + <BCD = 360

2 < CDA + 40 + 40 = 360

2< CDA + 80 = 360

2< CDA = 360-80

2< CDA = 280

< CDA = 280/2

< CDA = 140 degrees

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Step-by-step explanation:

The diagonals of rhombus ABCD intersect at E. Given that m∠CAD=20° and CE=4, find the m∠CDA.

Answers

Given :

The diagonals of rhombus ABCD intersect at E.

∠CAD = 20°.

To Find :

The angle ∠CDA.

Solution :

We know, diagonals of a rhombus bisects each other perpendicularly.

So, ∠DEA = 90°.

In triangle ΔEAD :

∠EAD + ∠AED + ∠EDA = 180°

20° + 90° + ∠EDA = 180°

∠EDA = 70°

Now, we know diagonal of rhombus also bisect the angle between two sides .

So, ∠CDA = 2∠EDA

∠CDA = 2×70°

∠CDA =140°

Therefore, ∠CDA is 140°.

Find the value of x round to the nearest tenth FIRST ANSWER GETS BRAINIEST

Answers

Answer: answer is 19.2

a squared + b squared = c2

81 + 289 = 370

square root of 370 = 19.235

answer is 19.2

Answer:

Step-by-step explanation:

[tex]x = \sqrt{ {17}^{2} + {9}^{2} } = \sqrt{289 + 81} = \sqrt{370 } [/tex]=19.2

what is the area of 20 and 15

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300 is your answer remember area is l•w

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What is the length of the line segment whose endpoints are (-1,5) and (3,-3)? Round your answer to the nearest tenth.

Answers

Answer:

4√5

Step-by-step explanation:

The length=√(3--1)²+(-3-5)²

l=√(4)²+(-8)²

l=√16+64

l=√80=4√5

12 out of 52 cards in a deck are face cards. What percentage of cards in a deck are face cards, to the nearest whole percent?

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Step-by-step explanation:

Put the mixed number in improper form to make it easier. You get 15/4 miles in 1/3 hours. You want the miles for 1 hour. So you multiply 15/4 miles by 3 to get 45/4 miles, or 11 1/4 miles per hour

what expression is equivalent to 5 to the -3rd power

Answers

Answer: 1/125

Step-by-step explanation:

Flip the exponent over into a fraction if it is to the negative power. Then do the same as you usually would to find out that it is 5^3 under a fraction.

Answer:

0.008

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

10% of 960 is 96

960-96=864

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Answers

Solution :

[tex] \sf \dfrac{6x+4}{3} = \dfrac{5x-5}{8}[/tex]

By cross multiply, we get

[tex] \sf : \implies (6x+4) \times 8 = (5x-5) \times 3[/tex]

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[tex] \sf : \implies 48x+32 - 15x + 15= 0[/tex]

[tex] \sf : \implies 33x + 47 = 0[/tex]

[tex] \sf : \implies 33x = -47[/tex]

[tex] \sf : \implies x = \dfrac{- 47}{33}[/tex]

Therefore, answer is [tex] \sf x = \dfrac{- 47}{33}[/tex]

ANSWER:

x=-47/33

EXPLANATION:

[tex]\frac{6x+4}{3} =\frac{5x-5}{8} \\\\24(\frac{6x+4}{3} =\frac{5x-5}{8})\\\\48x+32=15x-15\\\\48x+32-32=15x-15-32\\\\48x-15x=-47+15x-15x\\\\33x=-47\\\\x=-\frac{47}{33}x[/tex]

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Answers

Answer:

Domain = 1,3,5,7

Range = 8,7,6,5

Step-by-step explanation:

We need to identify the domain and range of the function: input 1,3,5,7 output 8,7,6,5

Domain of function:

For any function domain is set of input values.

Range of function:

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Range = 8,7,6,5 (set of output values is range of function)

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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A | 8(2m+3)
B | 8(2+3m)
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Answers

Answer:

The espression 8(2m - 3) shows the length and the width of the rectangle ⇒ D

Step-by-step explanation:

Let us find the greatest common factor of 16 and 24

∵ 16 = 1 × 16, 2 × 8, 4 × 4

∴ The factors of 16 are 1, 2, 4, 8, 16

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→ Find the common factors of 16 and 24

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation

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Answers

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Step-by-step explanation:

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= 25 days + 70 days

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