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The figure shows 2 right triangles, triangle A B C with right angle B and triangle B D C with right angle D. The measure of angle B A C is 45 degrees. The measure of angle D B C is 60 degrees. The length of side C A is 6 square root 2. The length of side B D is x.

Answer:

65 cars

Step-by-step explanation:

In the first month, there are 11, then the cars increased by 9 for the last 6 months, meaning you can do 6*9=54

You can then add that to 11, which is 11+54=65

Answer:

Solution

Here,

H=?

P=3

b=6

H=√p2+B2

=√6×6+3×3

=√36+9

=√45

=3√5

Answer:

23

Step-by-step explanation:

a^2 + b^2=c^2

3=a^2

6=b^2

3×3= 9

6x6=36

36+9=45

45÷2=22.5

Answer:

12x-8

Step-by-step explanation:

In order to take away the parentheses, we have to multiply all terms inside the parentheses by 4. 4*3x = 12x, and -2*4 = -8. So we can determine at 4(3x-2) = 12x-8.

Answer:

=> 6.5, 7.2 , 9.7

Step-by-step explanation:

By using Pythagorean theoram

H² = P² + B²

=> (9.7)² = (7.2)² + (6.5)²

=> 94.09 = 51.84 + 42.25

=> 94.09 = 94.09

πr² = π.5.5 = π25 units² or 78.5 units²

hope it helps...!!!

Answer:

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

Step-by-step explanation:

from equation,

y - y1 = m( x - x1)

given x1=2, y1= -1

m = 3 (slope)

substitute

y - (-1) = 3( x - 2)

ans: y+1= 3(x+2)

Check the picture below.

Answer:

37.9 liters

Step-by-step explanation:

Multiply the number of gallons by 3.785 to convert to liters

Multiplying by ten moves the decimal point over to the right

3.785 * 10 = 37.85

The tenths place is where the 8 is, and since 5 is [tex]\geq[/tex] (greater than or equal to) 5 that makes the 8 round up to a 9

resulting in...

10 gallons = 37.9 liters

hope this helps:)

Put x =0 to find y intercept

Y intercept:-

Horizontal asymptote=y=2

Answer:

There are 126 8th grade A honor roll students.

Step-by-step explanation:

Answer:

i am sure options 2 please go with option 2

no solution

option b

Answer:

Area is 235

Step-by-step explanation:

Split the shape evenly so 11 x 14 and 9 x 9then multly and add

when slpitting up the number some times you have to add or subtract so to get 9 x 9 we just take 20 then take away 11 due to the line going through 20 and 20 - 11 = 9

9 x 9 = 81

11 x 14 = 154

81 + 154 = 235

or

Simular to the first one but the cutting line is different. this time the line cuts through 14

9 x 20 = 180

11 x 5 = 55

180 + 55 = 235

Answer:

C) 3/2x-3=y

Step-by-step explanation:

-3 because that is the Y- intercept and 3/2 is the slope of the line. Y= mx +b is the formula and m is the slope and b is the y intercept.

Answer:

The median is 69.5

Step-by-step explanation:

The median is also known as the middle value. To find the median, you first arrange your data in numerical order.

Numerical order:

50, 50, 53, 55, 55, 57, 62, 63, 64, 64, 65, 68, 68, 69, 69, 70, 71, 71, 71, 72, 72, 73, 75, 75, 75, 77, 77, 78, 79, 80

There are 30 numbers, which means that the median is between the 15th and 16th value (69 and 70).

69 + 70 = 139

139/2 = 69.5

Therefore, the median of this data set is 69.5

Hope this helps!

For the following inequalities, if it is known that the function g is decreasing on its domain. g(5-x^2)≤g(3x-5) the solution is mathematically given as

1 ≤ x < 6

Generally, the equation for the inequalities is mathematically given as

g(5-x^2)≤g(3x-5)

therefore,

x^2<5x+6

-1< x <6

In conclusion, the solution to the inequalities are

1 ≤ x < 6

Read more about Inequality

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The number of bags of grass seed that are needed to seed the new rectangular lawn is approximately 19 bags .

The perimeter of a rectangle is the sum of the whole sides of the rectangle.

Therefore,

perimeter of the rectangle = 298 ft

The width is 67 ft.

Hence

perimeter of rectangle = 2(l + w)

where

Therefore,

298 = 2 ( l + 67)

298 = 2l + 134

298 - 134 = 2l

164 = 2l

l = 164 / 2

l = 82 ft

Therefore,

area of the rectangle = 82 × 67 = 5494 ft²

285 ft² = 1 bag of grass seed

5494 ft² = ?

cross multiply

number of bag of grass seed to fill the new rectangular lawn = 5494 / 285

number of bag of grass seed to fill the new rectangular lawn = 19.2771929825

learn more on rectangle here: https://brainly.com/question/16878024

Answer:

1. one is smaller by 5 cm and one is larger by 5 cm

2. well they are similar to each other, but one is dilated and isn't

Answer:

RS = 16

Step-by-step explanation:

If a line is parallel to a side of a triangle and intersects the other 2 sides , it divides those sides proportionally.

PR is such a line , then

[tex]\frac{QR}{RS}[/tex] = [tex]\frac{QP}{PT}[/tex] ( substitute values )

[tex]\frac{32}{RS}[/tex] = [tex]\frac{42}{21}[/tex] = 2 ( multiply both sides by RS )

32 = 2 RS ( divide both sides by 2 )

16 = RS

Answer:

Your answer is, RS-  16.

Step-by-step explanation:

I hope this helps you :)

pls mark brainleist :P

`

`

`

W/ <3...

Tori

Answer:

64%

Step-by-step explanation:

25 - 9 = 16, so 16 of the games were won by Sally's team.

16/25 = 64% of the games were won

The roots of the entire polynomic expression, that is, the product of p(x) = x^2 + 8x + 12 and q(x) = x^3 + 5x^2 - 6x, are x₁ = 0, x₂ = -2, x₃ = -3 and x₄ = -6.

A value of x is said to be a root of the polynomial if and only if r(x) = 0. Let be r(x) = p(x) · q(x), then we need to find the roots both for p(x) and q(x) by factoring each polynomial, the factoring is based on algebraic properties:

r(x) = (x + 6) · (x + 2) · x · (x² + 5 · x - 6)

r(x) = (x + 6) · (x + 2) · x · (x + 3) · (x + 2)

r(x) = x · (x + 2)² · (x + 3) · (x + 6)

By direct inspection, we conclude that the roots of the entire polynomic expression are x₁ = 0, x₂ = -2, x₃ = -3 and x₄ = -6. [tex]\blacksquare[/tex]

To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/11536910

Hi there !

Lets first try to write given line in slope intercept form which is -

❄︎[tex]\green{ \underline { \boxed{ \sf{y=mx+c}}}}[/tex]

Here-

Proceeding-

✰2x + 4y = 56

➪ 4y = -2x +56

➪ y =[tex]\dfrac{ -2x +56}{4}[/tex]

➪ y =[tex]\dfrac{ -2x }{4}+ \dfrac{56}{4}[/tex]

➪ y =[tex]\dfrac{ -x }{2}+ 14[/tex]

➪ y =[tex]\dfrac{ -1}{2}x + 14[/tex]

Comparing with slope intercept form -

❄︎[tex]\red{ \underline { \boxed{ \sf{m = - \frac{1}{2}}}}}[/tex]

Now,

✪ Since the parallel lines have same inclination with positive x-axis , their slopes are equal.

❀ So, the slope of a line parallel to the line whose equation is 2x + 4y = 56 would be [tex]-\dfrac{1}{2}[/tex]

The equation of a line is given as:

y = mx + c

where m = slope and c = y-intercept.

The slope of the line parallel to the line 2x + 4y = 56 is -(1/2).

i.e

Slope = -(1/2)

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

y = 2x + 5

Slope = 2

y-intercept = 5

We have,

Let the equation of the line be:

y = mx + c

m = slope.

The equation is parallel to the line 2x + 4y = 56.

2x + 4y = 56 can be written in the form y = mx + c.

2x + 4y = 56

Subtract 2x on both sides.

4y = 56 - 2x

Divide both sides by 4.

y = 14 - (1/2)x

y = -(1/2)x + 14

m = -(1/2)

Since the line is parallel to the line 2x + 4y = 56 which has a

slope m = -(1/2).

The slope of the line is m = -(1/2).

Thus,

The slope of the line parallel to the line 2x + 4y = 56 is -(1/2).

i.e

Slope = -(1/2)

Learn more about equation of a line here:

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Answer:

c

Step-by-step explanation:

because 3 x 3 = 9

               1 x 5 = 5

simplest form will be 1 4/5

Answer:

Step-by-step explanation:

f(x)=x+6

f is an increasing function then the range of is

f(-4,-1) = (f(-4) , f(-1))

f(-4) = -4 + 6 = 2

f(-1) = -1 + 6 = 5

Therefore

the range of is f(-4,-1) = (2 , 5)

Answer: 5.4 and 5⅖

Step-by-step explanation:

27/5 to a mixed number 5⅖

Decimal 5.4

he has a higher chance of having the larger number but that does not make him correct

Step-by-step explanation:

Aikos number can be any where from 1501 all the way to 2499 while lily's number would have to be between 1851 and 1949.

Answer:

m∠ABC=42°

Step-by-step explanation:

m∠ABD=70°

⇒m∠ABD=m∠ABC+m∠CBD

⇒70°=(3x+33°)+(5x+13°)

70°=8x+46°

70°-46°=8x

24°=8x⇒x=3°

x=3°

Then,

m∠ABC=3x+33°

put x=3°, we get

m∠ABC=3×3°+33°=9°+33°

m∠ABC=42°

Answer: 3.822

Step-by-step explanation: 9/100 × 4.2 = 0.378

Deduct from 4.2

Answer:

The x intercept is [tex](-\frac{22}{3} ,~0)[/tex]

The y intercept is [tex](0,~22)[/tex]