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Softa [21]
2 years ago
13

WILL GIVE BRAINLIEST!!!!!!!!!!!!! the answer for question one was x=30

Mathematics
2 answers:
Hoochie [10]2 years ago
5 0

Step-by-step explanation:

<h2>ANSWER:-</h2>
  • We know that sum of all angles of a Quadrilateral is 360°.
  • Using this we will find the value of x.
<h3>We are given:-</h3>
  • ABC = 4x
  • BCD = 3x
  • CDA = 2x
  • DAB = 3x

Now, all angles if summed up will equal 360°.

4x + 3x + 2x + 3x =  {360}^ \circ

{12x}^{ \circ}  =  {360}^{ \circ}

\boxed{x = {30}^{ \circ} }

Now, we will find the Respective angles:-

ABC = 4x = 120°

BCD = 3x = 90°

CDA = 2x = 60°

DAB = 3x = 90°.

VMariaS [17]2 years ago
4 0

Answer:1

1. x = 30

2. ∠ABC = 120°, ∠BCD = 90°, ∠CDA = 60°, ∠DAB = 90°

Step-by-step explanation:

It's important to note here that the measure of all interior angles in a quadrilateral will add up to 360°

We know this using the formula(n-2)\cdot 180, a 4 sided figures angles will add up to

(4-2)\cdot 180\\\\2\cdot 180\\\\360

This means that all of the angles (4x, 3x, 2x, 3x) will add up to 360.

4x + 3x + 2x + 3x = 360

Combine like terms:

12x = 360

Divide both sides by 12:

x = 30

We know now substitute x for 30 in for all of the side lengths.

∠ABC = 4x = 4\cdot 30 = 120°

∠BCD = 3x = 3\cdot 30 = 90°

∠CDA = 2x = 2\cdot 30 = 60°

∠DAB = 3x = 3\cdot 30 = 90°

Hope this helped!

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QUESTION 10
adelina 88 [10]

Answer:

Step-by-step explanation:

A = L * W

A = 22

L = 2x + 1

W = 3x + 1

now we sub

22 = (2x + 1)(3x + 1)

22 = 6x^2 + 2x + 3x + 1

22 = 6x^2 + 5x + 1

6x^2 + 5x + 1 - 22 = 0

6x^2 + 5x - 21 = 0 <======part A

(3x + 7)(2x - 3) = 0

3x + 7 = 0          2x - 3 = 0

3x = -7               2x = 3

x = -7/3              x = 3/2

I believe that x = -7/3 is an extraneous solution because when u plug it into ur length and width u get a negative number....and I dont think the sides of ur rectangle have negative values, however, it does work in ur equation and it equals 22 when multiplied...so I am not 100% sure

length = 2x + 1.......2(3/2) + 1........3 + 1 = 4

width = 3x + 1......3(3/2) + 1......9/2 + 1......9/2 + 2/2 = 11/2 (or 5.5) meters <===

6 0
3 years ago
Can someone answer the 2 questions in the picture i really need help
Radda [10]
Hi.

The first question is a direct variation — specifically y = 1.8x

In the second one (if my calculations are correct), it's not a direction variation.

Hope this helps :)

Calculations:

y = 1.8(3) = 5.4

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7 0
3 years ago
One number is seven more than four times another number. If the sum of the numbers is 22, find the numbers.
Agata [3.3K]

Answer:

the answer is actually study and you would know

Step-by-step explanation:

4 0
2 years ago
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Julian has to read 4 articles for school. He has 8 nights to read them. He decides to read the same number of articles each nigh
daser333 [38]

<u><em>Answer:</em></u>

a. He will have to read half an article per night

b. Fraction of the reading assignment read each night = \frac{0.5}{4}=\frac{1}{8}

<u><em>Explanation:</em></u>

<u>Part a:</u>

<u>We are given that:</u>

number of articles to read = 4 articles

number of nights = 8 nights

To get the number of articles that he should read per night, we will simply divide the the number of articles by the number of nights

<u>Therefore:</u>

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<u>Part b:</u>

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To get the fraction of the reading assignment read each night, we will divide the number of articles read each night by the total number of assignments

<u>Therefore:</u>

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5 0
2 years ago
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shepuryov [24]

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Step-by-step explanation:

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4 0
3 years ago
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