Britton rotated trapezoid ABCD 180° on the coordinate plane. If angle B is 20° and angle D is 90°, what is the degree measurement of angle B′?

Group of answer choices

20°

70°

90°

180°

Answer:

8 years old

Step-by-step explanation:

Set Amy's age as x.

Kevin's age will be 2x, since he is two times as old as Amy.

Father's age will be 5x, since he is five times as old as Amy.

x + 2x + 5x = Sum of the ages = 64

x + 2x + 5x = 64

Combine like terms: 8x = 64.

Divide 8 on both sides: x = 8.

Amy's age = 8.

Hope this helps!

Answer:

x= 105°

Step-by-step explanation:

one interior angle of a hexagon is=120°

one interior angle of an octagon is=135° 360-255= 105

The size of the angle between the two regular polygons, marked x, is: 105°.

Thus,

x° = 360 - sum of one interior angle of the regular octagon and hexagon.

One interior angle of octagon = [(8 - 2)180]/8 = 135°

One interior angle of hexagon= [(6 - 2)180]/6 = 120°

x° = 360° - 135° - 120°

x° = 105°

Therefore, the size of the angle between the two regular polygons, marked x, is: 105°.

Learn more about regular polygons on:

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Answer:

y=5

Step-by-step explanation:

the way you do this is by adding 2 and 3 because two negatives make a positive.

Answer:

slope = -8/5

Step-by-step explanation:

m= y2-y1/x2-x1

m=(4-(-4))/(-1-4)

m= 8/-5

Answer:

-8/5

Step-by-step explanation:

Answer:

13.9 sorry if I'm wrong just trying to help.

Step-by-step explanation:

first plug in your numbers

a*2+ b*2= c*2

12*12= 144

7*7=49

144+49= 193

square root of 193: 13.89244399

rounded to nearest tenth is 13.9

Answer:

5 inches

Step-by-step explanation:

To find the hypotenuse or any side of a right triangle, use the Pythagorean theorem. This is [tex]a^2+b^2=c^2[/tex] where a and b are the perpendicular sides and c is the hypotenuse. So, plugin  3 and 4 for a and b. This gives 9+16=c^2, which is equal to 25=c^2. Then, take the square of both sides to get c=5.

Another way to solve this is to know the triples. Triples are right triangles that have integers for all of their sides. The triple 3,4,5 is the smallest and most common triple.

Answer:

/the cost of 1 pen is $2

Step-by-step explanation:

sana makatulong

Answer:

Step-by-step explanation:

5 pens=4euros

1 pen=`x

4 euros=5x

0.8 euros=x

1 pen = 0.8 euros

Step-by-step explanation:

the point being that a quadratic equation has 2 x-intercepts (or solutions of x for y = 0).

the advantage of this nice form the equation is written in is, that we see immediately both conditions, when y can be 0 : one of the bracket expressions must be 0.

so, the point (1, 0) covers (x-1).

we get the solution for (x-n), when we consider that such a quadratic function is simply a parabola and is symmetric around its vertex point.

the x value of the vertex (-2) tells us, that it is 3 units on the left side of the (1, 0) x-intercept point.

due to the symmetry of the curve the second x-intercept point must be even further to the left with additional 3 units distance in x direction.

so, -2 - 3 = -5

and A is the correct answer option.

Step-by-step explanation:

7x(x - 2y)

= 7x.(x - 2y)

= 7x² - 14xy

= (2 + 1)(+5)

= (3)(5)

= 3 × 5

= 15

Step-by-step explanation:

1) 7x(x - 2y)

= (7x . x) - (7x . 2y)

= 7x² - 14xy

2) (2 + 1)(+5)

= 3(+5)

= (3 . +5)

= (3 . 5)

= 15

Answer:

Step-by-step explanation:

Answer:

AD is not parallel to BC -- they are going opposite directions

AD does not equal DC -- there is nothing saying that they are congruent in length

YX is not parallel to ZW -- they are going opposite directions

Answer:

x=-12

Step-by-step explanation:

5x/5=1x = -60/5=-12

x=-12

Answer:

-12

Step-by-step explanation:

5x=-60

Divide both sides by 5 to isolate

X=-12

Answer:

48m

Step-by-step explanation:

12m - 4m = 8m / 2 = 4

12m + 4m + 4m + 4m + 4m + 8m + 8m + 4m = 48

Answer:

5/6 (decimal form: 0.83)

Step-by-step explanation:

Answer: 0.8333… (numbers keep going)

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

75 % of 36 is 27. The place kicker expects he that will make 27 field goals. 36 − 27 = 9 The place kicker expects that he will miss 9 field goals.

Answer:

11

Step-by-step explanation:

y=(3 x 4)-1

y=12-1

y=11

Answer:

y = 11

Step-by-step explanation:

Substitute the value for x.

[tex]y=3x-1\\y=3(4)-1\\y=12-1\\y=11[/tex]

Answer:

70cm

Step-by-step explanation:

Answer:

5[tex]\sqrt{7}[/tex]

Step-by-step explanation:

This is similar to collecting like term in algebra

2[tex]\sqrt{7}[/tex] + 3[tex]\sqrt{7}[/tex]

= (2 + 3)[tex]\sqrt{7}[/tex]

= 5[tex]\sqrt{7}[/tex]

Answer:

52

Step-by-step explanation:

Given:

1/4

Price at 65

Solution:

Let x be the original price

Based on the given conditions, formulate: [tex]x[/tex] ×[tex](1+\frac{1}{4} )=65[/tex]

Apply Multiplicative Distribution Law: [tex]x+\frac{x}{4} =65[/tex]

Multiply both sides of the equation by the common denominator: [tex]x[/tex]×[tex]4+\frac{x X4}{4} =65 X 4[/tex]

Reduce the fraction: x×4+x=65×4

Multiply the monomials: 4x+x=65×4

Combine like terms: 5x= 65×4

Calculate the product or quotient: 5x= 260

Divide both sides of the equation by the coefficient of variable: x = [tex]\frac{260}{5}[/tex]

Calculate the product or quotient: x = 52

get the result: x = 52

Answer: x = 52

Answer:

1 po iyan tama iyan trust mr

Answer:

12 students

Step-by-step explanation:

First, find the percentage of how many students have siblings:

3/10 = 0.3 = 30%

40 * 0.3 = 12

This means that 30% of this class are 12 students. These 12 students have siblings.

Hope this helps!

Answer:

Step-by-step explanation:

9801 - 3856 = 5945

Answer:

k=-1

Step-by-step explanation:

Answer:

the fraction of 2.8 is 14/5 u can simplify it bye dividing 14 by 5 and u will get a mixed number

Answer:

4=3(n+2) or if you want the unknown variable to be x, then 4=3(x+2)

Step-by-step explanation:

Four is  :  4=

3 times the sum  :  3(_+_)

sum of a number and two  :  n+2

4=3(n+2)

Hello! :)

4=3(z+2)

Explanation:

4 is means 4=

3 times the sum of a number and two. There's a hint that tells us that we should multiply 3 by both the number and two, and here's how we indicate that:

3(z+2)

Let our number be z.

The sum of two numbers means we add the numbers together.

So, our equation looks like this:

4=3(z+2)

Hope it helps you!

If you have any query, feel free to ask!

~An excited gal

[tex]MagicalNature[/tex] here to help

Answer:

profit : $28

profit percentage: 14%

Step-by-step explanation:

his profit :    $1.14 times 200kg = $228

228 -200 = 28

28 divided by 200 = 0.14

0.14 times 10 = 14 %

The slope of the given scenario will be 4.

The y - intercept of the given scenario will be 15.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The cost for the group is $15 for shoe rentals plus $4.00 per game.​

Now,

Let number of games = x

And, Total cost of the bowling's = y

Here, The cost for the group is $15 for shoe rentals plus $4.00 per game.​

So, We can formulate;

⇒ y = $4.00x + $15

⇒ y = 4x + 15

Compare with the standard form of equation of line y = mx + c, we get;

⇒ Slope = 4

And, The y - intercept = 15

Thus, The slope of the given scenario will be 4.

The y - intercept of the given scenario will be 15.

Learn more about the equation of line visit:

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Answer:

6x-40=3

Step-by-step explanation:

3/4 x -5 =3/8

Multiply each side by 8 to get rid of the fractions.

8(3/4x -5 ) =8*3/8

Distribute

6x-40=3

_________

[tex] \: [/tex]

[tex] \frac{3}{4} x - 5 = \frac{3}{8} [/tex]

[tex] \frac{3}{4} x = \frac{3}{8} + 5[/tex]

[tex] \frac{3}{4} x = 5 \frac{3}{8} [/tex]

[tex] \frac{3}{4} x = \frac{43}{8} [/tex]

[tex]x = \frac{43}{8} \times \frac{4}{3} [/tex]

[tex]x = \frac{172}{24} [/tex]

[tex]x = \bold{7 \frac{1}{6}} [/tex]

1220 - 100 = 1120

1120 + 50 = 1170

Answer: 1170

Answer:

1170

Step-by-step explanation:

HI hope you have a wonderful day.

Answer:

5a +8

Step-by-step explanation:

a+4a=5a

5a+8

=5a+8