The measures of the angles of a quadrilateral are 3:8:7:2 find the measure of each angle

The solution to the inequality -3( 2j - 11 ) ≥ 8j - 9 can be represented in an inequality form or interval notation form as j ≤ 3 and (-∞,3] respectively.

Given the inequality in the question;

-3( 2j - 11 ) ≥ 8j - 9

First, we simplify using distributive property.

-3( 2j - 11 ) ≥ 8j - 9

-3×2j -3×-11 ≥ 8j - 9

-6j + 33 ≥ 8j - 9

Next, move all terms containing j to the left and all constant to the right.

-6j + 33 ≥ 8j - 9

-6j - 8j ≥ - 9 - 33

-14j ≥ -42

Divide both sides by -14.

Note that, when multiplying or dividing both sides of an inequality by a

negative value, the inequality sign flips directions.

-14j/-14 ≤ -42/-14

j ≤ -42/-14

j ≤ 3

Therefore, The solution to the inequality -3( 2j - 11 ) ≥ 8j - 9 can be represented in an inequality form or interval notation form as j ≤ 3 and (-∞,3] respectively.

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9514 1404 393

Answer:

  (a) cannot be determined

  (b) 44 cm^2

  (c) 87 m^2

  (d) 180 m^2

  (e) 132 m^2

Step-by-step explanation:

(a) missing a horizontal dimension

__

(b) The difference between the bounding rectangle and the lower-left cutout is ...

  (8 cm)(7 cm) -(3 cm)(4 cm) = (56 -12) cm^2 = 44 cm^2

__

(c) The difference between the bounding rectangle and the center cutout is ...

  (13 m)(7 m) -(4 m)(1 m) = (91 -4) m^2 = 87 m^2

__

(d) The difference between the bounding rectangle and the two cutouts is ...

  (20 m)(25 m) -(16 m)(20 m) = (20 m)(25 -16) m = (20 m)(9 m) = 180 m^2

__

(e) The difference between the bounding rectangle and the two cutouts is ...

  (14 m)(12 m) -(12 m)(3 m) = (12 m)(14 -3) m = (12 m)(11 m) = 132 m^2

Answer:m=2570

Step-by-step explanation:2.57kilos= 2570m

The equation that could be used to determine x is [tex]\frac{11+x}{53+x} \leq 0.300[/tex].

Inequality is a relation that makes a non-equal comparison between two expressions.

Batting average of William = 11/53

Desired batting average = 0.300

Suppose the number of more hits in a row to have desired batting average =x

Number of hits now =11+x

Number of bats now =53+x

It is given that the batting average should be a minimum of 0.300.

This means [tex]\frac{11+x}{53+x} \leq 0.300[/tex]

Therefore, the equation that could be used to determine x is [tex]\frac{11+x}{53+x} \leq 0.300[/tex].

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Answer:

[tex]{ \tt{ {2x}^{2} - {3y}^{2} + 2k - 6y + 2 = 0 }} \\ { \tt{ \{x = 3 \: \: and \: \: y = - 2 \}}} \\ { \tt{ {2(3)}^{2} - {3( - 2)}^{2} + 2k - 6( - 2) + 2 = 0}} \\ { \tt{18 - 12 + 2k + 12 + 2 = 0}} \\ { \tt{2k + 20 = 0}} \\ { \tt{2k = - 20}} \\ { \tt{k = - 10}}[/tex]

Answer:

⇒ k=−9

​

Step-by-step explanation:

then put P(−2, 2) and we get,

x

2

−7x+ky=0

(−2)

2

−7(−2)+k(2)=0

⇒ 4+14+2k=0

⇒ 18+2k=0

⇒ 2k=−18

⇒ k=−9

again point Q(3, a) lies on the locus

the, put Q(3, a) and k=−9. We get

x

2

−7x+ky=0

(3)

2

−7(3)+(−9)×a=0

9−21−9a=0

−9a=+12

a=

9

−12

​

a=

3

−4

​

​

Answer:

Step-by-step explanation:

There are two restrictions on x:  First, x must be less than -4; second, x must be greater than 5.  Both of these inequalities have an infinite number of solutions, so overall this set of restrictions has an infinite number of solutions.

Answer:

-45

Step-by-step explanation:

Because 2 negatives become a positive:

-50-3 + 8 =

-53 + 8 =

-45

Answer:

it's .5 or 1/2

Step-by-step explanation:

3/8 ÷ 3/4 = 1/2

Answer:

6

Step-by-step explanation:

anything over 5 you round up.

7 is greater than 5 so you round up to 6

Answer: 5

Step-by-step explanation:

If the number is 5 or more, you round it up.

It the number is 4 or less, you leave it alone.

Using this process, we eliminate the numbers .734

We get the number 5 as our answer.

Answer:

88.88% or 8/9 of the yard is mowed

Step-by-step explanation:

First step is to get the denominator to the same number. Both denominators have a least common multiple of 12.

3/4 * 3/3 = 9/12

2/3 * 4/4 = 8/12

9/12 hours is how long it takes Evan to mow his backyard. He has 8/12 hours of work already done. If we divide the time already passed by the time still needed to mow the backyard, we can get how much of the yard is already mowed.

(8/12) / (9/12)

8/12 * 12/9  

96/108 = 88.88

Answer:

m<1=85; m<2 =5

Step-by-step explanation:

[tex]5x + x - 12 = 90(right \: angle \: ) \\ 6x - 12 = 90 \\ 6x = 90 + 12 \\ 6x = 102 \\ x = 102 \div 6 \\ x = 17 \\ hence \: x = 17 \\ 5x = 5 \times 17 \\ = 85 [/tex]

[tex]x - 12 = 17 - 12 \\ = 5[/tex]

[tex]to \: check \\ \\ 5x + x - 12 = 90 \\ 85 + 5 = 90 \\ hope \: it \: helps \\ pls \: mark \: it \: as \: brainliest...[/tex]

Answer:

∠D=42°

Step-by-step explanation:

Since both triangles are congruent and are right triangles that t ∠D has to be 42°.

The following two terms of an arithmetic progression are -6 and -11.

What is an arithmetic sequence?

An arithmetic sequence is defined as a progression of numbers such that the difference between successive terms is consistent. It is also called Arithmetic Progression. The formula for tthe last term of an AP is given as: an = a + (n-1)d, here, a is the first term, n is the number of terms and d is the difference between two successive terms.

Finding the two terms of an arithmetic sequence

The first three terms of an arithmetic sequence are given by:

a1 = 9

a2 = 4

a3 = -1

Now, we want to calculate a4 and a5

Using the formula for calculating the next term of an arithmetic progression, we get,

a4 = a + (n-1)d, where n = 4 and d = 5

a4 = 9 + (4-1)(-5)

a4 = 9 - 15

a4 = -6

Further, a5 = a + (n-1)d, where n = 5 and d = 5

a5 = 9 + (5-1)(-5)

a5 = 9 - 20

a5 = -11

Hence, the next two terms of an AP are -6 and -11.

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Answer:

B and F

Step-by-step explanation:

took the test

Answer:

50 snail shells

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3/1 = 3

3 is the correct answer

Answer:

True ................

Answer:

The m<PML + m<PMQ + m<QMN = 180° since they are supplementary

therefore,

45°+(6x-5)+x=180°

45+7x-5=180

40+7x=180

7x=140

x=20

To test it we should plug in x for each equation and the sum of those answers should equal 180

45+(6x20-5)+20=180?

45+115+20=180?

160+20=180?

180=180

x=20 is valid

Step-by-step explanation:

Answer: 0.023

Step-by-step explanation:

Given that:

Number of green balls = 9

Number of white balls = 8

Total number of balls = 9 + 8 = 17

Drawing with replacement :

Probability of white :

First draw = 8/17

2nd draw = 8/17

3rd draw =. 8/17

4th draw = 8/17

5th draw = 8/17

P(all 5 are white) = 8/17 * 8/17 * 8/17 * 8/17 * 8/17 = 32768/1419857

= 0.0230783

= 0.023

Answer:

A = $5,187.50

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 7.5%/100 = 0.075 per year.

Putting time into years for simplicity,

6 months / 12 months/year = 0.5 years.

Solving our equation:

A = 5000(1 + (0.075 × 0.5)) = 5187.5

A = $5,187.50

The total amount accrued, principal plus interest, from simple interest on a principal of $5,000.00 at a rate of 7.5% per year for 0.5 years (6 months) is $5,187.50.

The amount of money she saved after 6 months is $5,187.50.

Chance formula is used to find the quantum or share of commodity in terms of 100. In its simplest form, percent means per hundred. To express a number between zero and one, chance formula is used. It's defined as a number represented as a bit of 100. It's denoted by the symbol, and is majorly used to compare and find out rates.

Given:

r = R/100

r = 7.5%/100

r = 0.075 per year.

Time = 6 months.

        = 6/12 = 1/2 year

So, Amount = 5000(1 + (0.075 × 0.5))

A = $5,187.50

The total amount accrued, principal plus interest is $5,187.50.

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Answer:

*correct me if I'm wrong with the equation setup but I believe this is your answer.*

( 6 × n ) - 5 = 13

( 6 x n ) = 18

n = 3

Answer:

-20

Step-by-step explanation:

i think

Answer:

Your answer should be B

Step-by-step explanation:

Answer:

(20,5) and (5,12) I think

Answer:

A:(–14, 12) and (5, 12)

Step-by-step explanation:

Trust me on this, also can I have brainiest please?

Hope you do well! :D

Answer: x= -7

Step-by-step explanation: distribute first then minus 5 from -30 then divide by 5 x

Answer:

y= 1/2x + 6

Step-by-step explanation:

i hope that helps, I'm pretty sure that's what it is

Answer:

y = 1/2x + 6

Step-by-step explanation:

6 would be the y intercept as he had already planted the 6 rows.

slope = rise/run

1 would be the amount of rows in 1/2

2 would be the amount of hours each time

Answer:

7x3

the next number is 336

Step-by-step explanation:

Answer:

there is nothing to look at or answer