Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6 - 70)° and (2n + 10)°. What are the two different angle measures of the parallelogram-shaped tile? • 20° and 160° • 50° and 130° • 30° and 150° ( 70° and 110°

Answers

Answer 1

Answer:

50° and 130°

Step-by-step explanation:

Here are the steps to find the two different angle measures of the parallelogram-shaped tile:

Step 1:

Since opposite angles in a parallelogram are congruent, we can set the expressions for the two opposite angles equal to each other:

(6n - 70 = 2n + 10) - 2n

(4n - 70 = 10) + 70

(4n = 80) / 4

n = 20

Thus, n = 20

Step 2:

We can substitute 20 for n in 6n - 70 and 2n + 10 to find their respective angle measures:

Substituting 20 for n in 6n - 70:

6(20) - 70

120 - 70

50

Substituting 20 for n in 2n + 10:

2(20) + 10

40 + 10

50

So, the two different angle measures of the parallelogram-shaped tile are 50 degrees and 130 degrees (since the sum of two opposite angles in a parallelogram is 180 degrees).

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Related Questions

6 - 9x = 7x - 10x +18 what is the value of x

Answers

The value of X would be -2

Answer:

x = -2

Step-by-step explanation:

Step 1: Write equation

6 - 9x = 7x - 10x + 18

Step 2: Solve for x

Combine like terms: 6 - 9x = -3x + 18Add 9x to both sides: 6 = 6x + 18Subtract 18 on both sides: -12 = 6xDivide both sides by 6: -2 = xRewrite: x = -2

Step 3: Check

Plug in x to verify it's a solution.

6 - 9(-2) = 7(-2) - 10(-2) + 18

6 + 18 = -14 + 20 + 18

24 = 6 + 18

24 = 24

4w+5z=30 solve for w

Answers

Answer:

[tex]w=\frac{30-5z}{4}[/tex]

Step-by-step explanation:

[tex]4w+5z=30\\\\4w+5z-5z=30-5z\\\\4w=30-5z\\\\\frac{4w=30-5z}{4}\\\\\boxed{w=\frac{30-5z}{4}}[/tex]

Hope this helps.

PLS HELP idk how to do this

Answers

Answer:

this figure regular hexagon have rotation symmetry. The order is 6 and the degrees is 120

A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 17.5 gallons.

What is the average rate of flow of the gasoline into the gas tank?

Answers

Answer:

2.675

Step-by-step explanation:

X/-7+3<4 solve this so I can

Answers

Answer:

Ok

Step-by-step explanation:

Hmmmmmm

PLEASE, answer! the problem is in the screenshot, but I have to have 20 characters, so Technoblade Never ___!



TECHNOBLADE NEVER DIES!!!!

Answers

Point A is located identifying the domain value of 1 and the range value of 2. Point B is located identifying the domain value of 3 and the range value of 1.

These points can be used to form a fraction, or ratio, representing the slope of a line. By using this ratio and the intercept, we can write the equation of the line.

How to define a linear function?

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

m is the slope.b is the intercept.

The two points for this problem are given as follows:

A(1, 2) and B(3, 1).

When x increases by 2, y decays by 1, hence the slope m is given as follows:

m = -1/2

m = -0.5.

Hence:

y = -0.5x + b.

When x = 1, y = 2, hence the intercept b is given as follows:

2 = -0.5 + b

b = 2.5.

Hence the equation is:

y = -0.5x + 2.5.

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9 5/9- 3 2/5= estimate the sum , difference,product and quotient

Answers

The estimated sum of 9 5/9 and 3 2/5 is approximately 13, the difference is approximately 5.84, the product is approximately 32.49, and the quotient is approximately 2.82.

To estimate the sum, difference, product, and quotient of 9 5/9 and 3 2/5, we can convert the mixed numbers into improper fractions for easier calculations.

First, let's convert 9 5/9 into an improper fraction:

9 5/9 = (9 * 9 + 5) / 9 = 86/9

Next, let's convert 3 2/5 into an improper fraction:

3 2/5 = (3 * 5 + 2) / 5 = 17/5

Now, we can perform the calculations:

Sum:

86/9 + 17/5 = (86 * 5 + 17 * 9) / (9 * 5) = 590/45

Difference:

86/9 - 17/5 = (86 * 5 - 17 * 9) / (9 * 5) = 263/45

Product:

(86/9) * (17/5) = (86 * 17) / (9 * 5) = 1462/45

Quotient:

(86/9) / (17/5) = (86 * 5) / (9 * 17) = 430/153

To simplify the fractions and estimate the results, we can approximate them to the nearest whole number or decimal:

Sum ≈ 13

Difference ≈ 5.84

Product ≈ 32.49

Quotient ≈ 2.82

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6x + 9y = 108.
What is the slope of the graph?

Answers

X=18 then all you have to do is find the Y intercept and the equation and graph it

9514 1404 393

Answer:

  -2/3

Step-by-step explanation:

When you solve for y, the x-coefficient is the slope.

  9y = -6x +108 . . . subtract 6x

  y = (-6/9)x + 12 . . . . divide by 9

The slope is -6/9 = -2/3.

write the quadric equation in standard form

Answers

The quadratic equation [tex]2 - 2x + x^2 = -3[/tex] in standard form is: [tex]x^2 - 2x + 5 = 0[/tex]

To write the quadratic equation[tex]2 - 2x + x^2 = -3[/tex] in standard form, we need to rearrange the terms such that the polynomial appears in the form:

ax^2 + bx + c = 0

where a, b, and c are constants.

First, we can simplify the left-hand side by rearranging the terms:

x^2 - 2x + 2 = -3

Next, we can add 3 to both sides of the equation to isolate the quadratic terms on the left-hand side:

x^2 - 2x + 5 = 0

Now we have the quadratic equation in standard form, where:

a = 1 (the coefficient of x^2)

b = -2 (the coefficient of x)

c = 5

This form makes it easier to analyze the properties and behaviour of the quadratic function and to solve for its roots or solutions using various methods like factoring, completing the square or quadratic formula.

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11) The sum of four consecutive integers is 290.
a. Write an equation to represent this situation.
(Make sure to combine like terms.)
ion
b. Solve. What are the 4 integers?
the

Answers

Answer:

71, 72, 73, 74 . for details, check below

Step-by-step explanation:

a)  Let's assume that among the four consecutive numbers, the first one is x,

so, the four consecutive numbers should be:

xx+1x+2x+3.

According to the question,

(x) + (x + 1) + (x + 2) + (x + 3) = 290

b)

(x) + (x + 1) + (x + 2) + (x + 3) = 290

4x + 6 = 290

4x = 284

x = 284÷ 4

x = 71.

So, the numbers are,

71, 72, 73, 74

Hfhbsbehehbebehbehne

Solve for x: 3x − 5 = 2x + 6

Answers

Answer:

X=11

Step-by-step explanation:

Step 1: Subtract 2x from both sides.

3x−5−2x=2x+6−2x

x−5=6

Step 2: Add 5 to both sides.

x−5+5=6+5

x=11

Hoped  I helped-

Sleepy~

The value of x from the given equation is 11.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 3x-5 = 2x + 6.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, 3x-5=2x+6

3x-2x=6+5

x=11

Therefore, the value of x from the given equation is 11.

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Elliott made 6 1/5 quarts of fruit punch. He poured 2/3 of a quart into each cup. How many cups did he fill?

Answers

Step-by-step explanation:

6 1/5 divided by 2/3 = 18 3/5

the question it attached​

Answers

Answer:  

Step-by-step explanation:

 

What is the measure of XY?
A. 127°
B. 53°
C. 37°
D. 90°

Answers

Answer:

it is B. 53

Step-by-step explanation:

Answer:

The answer is 53

Step-by-step explanation:

I learned about it.

Help me fill in the blanks please!

Answers

Answer:

375/x = 125

1. 375/x = 125 -- given. You are given this information.

2. 375 = 125x -- multiplication property. You are multiplying each side by x to cancel it out as a denominator.

3. 375/125 = 125x/125 -- division property. You are dividing each side by 125 to isolate x.

x = 3

A 3-quart carton of fruit punch costs $2.64. What is the price per cup?

Answers

It costs 22 cents per cup

Find class boundaries midpoint and width for 120-136

Answers

The class boundaries midpoint and width are 128 and 16

Finding the class boundaries midpoint and width

from the question, we have the following parameters that can be used in our computation:

120 - 136

The class boundaries midpont is calculated as

Midpoint = (120 - 0.5 + 136 + 0.5)/2

Evaluate

Midpoint = 128

For the width, we have

Width = 136 - 120

Width = 16

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John has a roll container 24 2/3 feet of wrapping paper. He wants to divide it into 11 pieces. First, he must cut of 5/6 foot because it is torn. How long will each piece be ?​

Answers

Answer:

total paper= 24 2/³

Step-by-step explanation:

all you have to do is LCM

The length of a rectangle is 11 centimeters less than five times its width. Its area is 12 square centimeters. Find the dimensions of the rectangle.

Answers

Answer:

Lenth=15, width=4/5

Step-by-step explanation:

SO first we wanna make a equation about ths

The length of a rectangle is 11 centimeters less than five times its width.

L = lenth

W= width

L=5w+11

so w(5w+11)

and you wanna solve it

skip cuz   im bad

w = 4/5 or w = -3

-3 is not possible so w = 4/5

L=15

check:

15*4/5=12

The dimensions of the rectangle are:

Length = 4 cm

Width = 3 cm

To solve this problem, we will represent each of the given dimensions using algebraic expressions as follows:

Let:

Width of the rectangle = w cm

Length of the rectangle = [tex](5w - 11)[/tex] cm

Area of the rectangle = 12 sq cm

Formula for area of a rectangle = length [tex]\times[/tex] width

Therefore:

[tex](5w - 11) \times w = 12\\5w^2 - 11w = 12\\5w^2 - 11w - 12 = 0[/tex]

Factorize:

[tex]5w^2 + 4w - 15w - 12 = 0\\w(5w + 4) -3(5w + 4) = 0\\(w - 3)(5w + 4)\\(w - 3) = 0\\w = 3[/tex]

or

[tex]5w + 4 = 0\\5w = -4\\w = -\frac{4}{5}[/tex]

Width of the rectangle cannot be a negative number, so we would go with:

[tex]w = 3[/tex] cm

The width of the rectangle is therefore 3 cm

Find the length by plugging in the value of w into [tex]5w - 11[/tex]

Length of the rectangle = [tex]5(3) - 11[/tex]

= [tex]15 - 11\\[/tex]

= 4

Length of the rectangle is 4 cm

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What will be the sign of the operation between the two terms in the squared binomial?

Answers

Answer:

We can find the square by multiplying the binomial by itself. However terms Lastly, we see that the first sign of the trinomial is the same as the sign of the binomial. For the middle term of the trinomial, double the product of the two terms.

Step-by-step explanation:

Can you Please help ASAP!!!

Answers

Answer: 2.5 I think

Step-by-step explanation:

-2x+3<5

      -3 -3. Take -3 from both sides

2x < 5 divide by 2

x < 2.5

Hope this helps

carlos can write 3 to 4 pages in his journal in 2/3 hour. if he writes for 5 hours, what's a reasonable number of pages he can write in that time?

Answers

Answer:

23, 24, 25, 26, 27, 28, 29, or 30

22.5 ≤ p ≤ 30

Step-by-step explanation:

So we know that in 2/3 hours, Carlos can write 3 to 4 pages.

First, lets find how many 2/3's are in 5. Lets divide 5 by 2/3.

[tex]\frac{5}{\frac{2}{3}}=7.5[/tex]

So there are 7.5 2/3's in 5.

Now, lets assume Carlos writes 4 pages per 2/3 hours consistently throughout that 5 hours. This would yield the maximum amount of pages Carlos can write in 5 hours.

7.5(4) = 30

So the maximum amount of pages Carlos can write in 5 hours is 30.

Now, lets assume Carlos writes 3 pages per 2/3 hours consistently throughout that 5 hours. This would yield the minimum amount of pages Carlos can write in 5 hours.

7.5(3) = 22.5

So the minimum amount of pages Carlos can write in 5 hours is 22.5.

Now we can write the information that we found as an inequality. Lets make p equal to the pages that Carlos can write in 5 hours.

22.5 ≤ p ≤ 30

Any value greater than to equal to 22.5 and less than or equal to 30 would be reasonable.

I hope you find my answer and explanation to be helpful. Happy studying.

Someone pls help!!!! ASAP!!!!!

Answers

Answer:

3x + x ≠ 90

4x = 90

x = 22.5

Y + y = 90

2y = 90

Y = 45

The angle 6 and 5 I don't understand the question. Thank you and please rate me as brainliest.

Find the distance between the points (-6, - 4) and (5, -4).

Answers

Answer:

[tex]d=11[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in your 2 coordinates into the distance formula to find distance d:

[tex]d=\sqrt{(5-(-6))^2+(-4-(-4))^2}[/tex]

[tex]d=\sqrt{(5+6)^2+(-4+4)^2}[/tex]

[tex]d=\sqrt{(11)^2+(0)^2}[/tex]

[tex]d=\sqrt{121+0}[/tex]

[tex]d=\sqrt{121}[/tex]

[tex]d=11[/tex]

ccording to the fundamental theorem of algebra, how many solutions does this polynomial have? y= 3x(x -4) A. 1 B. 2 C. 3 D. 4

Answers

Answer:

B. 2

Step-by-step explanation:

I just took the test and got a 100.

According to the fundamental theorem of algebra the polynomial

y = 3x (x - 4) has 2 solutions.

Option B is true.

What is Fundamental theorem of algebra?

Fundamental theorem state that every polynomial of degree n with complex number coefficient have n roots or solution in the complex number.

Given that;

The polynomial is,

⇒ y = 3x (x - 4)

Now,

The polynomial is written as;

y = 3x (x - 4)

y = 3x² - 12x

Clearly, The polynomial has degree 2.

So, By the fundamental theorem of algebra,

The polynomial has 2 solutions that is coincide with the degree of polynomial.

Thus, According to the fundamental theorem of algebra the polynomial

y = 3x (x - 4) has 2 solutions.

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What is the product of Five-ninths and Seven-eighths?

Answers

Answer:

Improper fraction form:103/72 Mixed number form: 1 32/72 Decimal form: 1.4035 with 5 repeating

Step-by-step explanation:

Each morning librarians place 560 books on a book shelf in the school library. Each student that visits library that day takes exactly 3 books from this shelf. Let s be the number of students which visit library on a particular day. Let b be the number of books left on the shelf at the end of that day.
b
There are 150 students studying in this school. Use this information to find the domain of the function b(s).

Answers

Answer:

Step-by-step explanation:

560=3s+b

b.

560=3×150+b

b=560-450=110

when s=149,b=560-3×149=560-447=113

s=2,b=560-3×2=560-6=554

s=1,b=560-3×1=557

s=0,b=560-3×o=560

so domain of b={110,113,116,...,554,557,560}

HELP ME PLEASEEEE I NEED HELO

Answers

The area of the shaded reason would be 41 because without the piece that is removed the area of the WHOLE triangle would be 49. The area of the tiny piece that was taken out would be 8 . 49 - 8 (the unshaded region) = 41 as the total area

Find the value of

(iv) 2x4 – 5x3 + 7x – 3 when x = -3.

Answers

Answer:

.2x4 - 5x3 + 7x - 32(-3)4 - 5(-3)3 + (7×-3)-32(81) - 6(-27 ) + (-21)-3162 + 162 + 63= 387

Answer:

multiply (x+4) and (x+11);(x+7) and (x+8) separately,then u'll get x2+ 15x as common .

Step-by-step explanation:

Cameron has 3/4 pound of raspberries, 1/8 pound of blueberries, and 1/2 pound of blackberries to make a frit salad. How many pounds of fruit does Cameron have in all?

Answers

Answer:

1.375

Step-by-step explanation:

The number of pounds of fruit Cameron have in all is [tex]1\frac{3}{8}[/tex] pounds.

What is addition of two fractions?

To add fractions there are three simple steps:

Step 1: Make sure the bottom numbers (the denominators) are the same. Step 2: Add the top numbers (the numerators), put that answer over the denominator.

Step 3: Simplify the fraction (if possible)

Given that, Cameron has 3/4 pound of raspberries, 1/8 pound of blueberries, and 1/2 pound of blackberries to make a frit salad.

Now, the number of pounds of fruit Cameron have in all

= 3/4 + 1/8 + 1/2

= 6/8 +1/8 +4/8

= (6+1+4)/8

= 11/8

= [tex]1\frac{3}{8}[/tex] pounds

Therefore, the number of pounds of fruit Cameron have in all is [tex]1\frac{3}{8}[/tex] pounds.

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