12. In ∆PQR, if m∠P is 14 less than five times x, m∠Q is five less than x, and m∠R is nine less than twice x, find x and the measure of each angle. 13. In ∆JKL, if m∠J is seven less than m∠L and m∠K is 21 less than twice m∠L, find the measure of each angle. 14. In ∆BCD, if BC ≅ BD , m∠B = 13x – 35, m∠C = 5x – 19, and m∠D = 2x + 14, find x and the measure of each angle. 15. In ∆WXY, if∠X ≅ ∠Y , WX = 9x – 11, XY = 4x + 1, and WY = 7x – 3, find x and the measure of each side.

Answer:

1170

Step-by-step explanation:

Total Population = 900

Annual rate of increase = 30 % of 900

=> [tex]\frac{30}{100}*900[/tex]

=> 30 * 9

=> 270

Population next Year = 900+270

=> 1170

Answer:

6 sq. units

Step-by-step explanation:

The area of a triangle is base times height divided by 2.

[tex]\frac{bh}{2}[/tex]

[tex]\frac{6 \times 2}{2}[/tex]

[tex]\frac{12}{2} =6[/tex]

Answer:

D. 6

Step-by-step explanation:

The formula for the area of a triangle is A=1/2bh. In this case, the base is 6 and the height is 2. The work is below:

A=1/2bh

A=1/2(6)(2)

A=1/2(12)

A=6

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

b or The value will be greater than 1 because (negative 3) minus (negative 9) = 6. A number in scientific notation with a positive exponent is greater than 1.

Step-by-step explanation:

Answer:

The answer is "64".

Step-by-step explanation:

Given:

8-sided fair die

output of Die = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 }

if the Dice is thrown two times. so, the possible outputs are as follows:

[tex]\to 8 \times 8=64[/tex]

[tex]\texttt{ = (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),}\\ \ \ \texttt{(1,7),( 1, 8),(2,1),(2,2),(2,3),(2,4),}[/tex]

[tex]\texttt{(2,5),(2,6),(2,7),(2,8),(3,1), (3,2),}\\ \texttt{(3,3),(3,4),(3,5),(3,6),(3,7),(3,8) ,}\\\texttt{(4,1),(4,2),(4,3), (4,4),(4,5),(4,6),} \\[/tex]

[tex]\texttt{(4,6),(4,7),(4,8),(5,1),(5,2),(5,3),}\\\texttt{(5,4),(5,5),(5,6),(5,7),(5,8),(6,1),}\\\texttt{(6,2),(6,3),(6,4),(6,5),(6,6),(6,7),}[/tex]

[tex]\texttt{(6,8),(7,1),(7,2),(7,3),(7,4),(7,5),} \\\texttt{(7,6),(7,7),(7,8),(8,1),(8,2),(8,3),}\\ \texttt{(8,4),(8,5),(8,6),(8,7),(8,8)}[/tex]

That's why the product is 64.

Answer:

c = 730 cm

Step-by-step explanation:

To solve this question we just need to use the law of sines:

The ratio between a side in the triangle and its opposite angle is always the same.

So we have that:

[tex]a / sin(A) = c / sin(C)[/tex]

[tex]714 / sin(78) = c / sin(90)[/tex]

sin(78) is equal 0.9781 and sin(90) is equal 1, so we have:

[tex]714 / 0.9781 = c / 1[/tex]

[tex]c = 714 / 0.9781 = 730\ cm[/tex]

Answer:

5. 8

6. 18

Step-by-step explanation:

5.

a(a^2 + a - 1) + 7 =

= a^3 + a^2 - a + 7

For a = -1,

= (-1)^3 + (-1)^2 - (-1) + 7

= -1 + 1 + 1 + 7

= 8

6.

2ab(a + b) - 3ab(a - b) =

= 2a^2b + 2ab^2 - 3a^2b + 3ab^2

= -a^2b + 5ab^2

For a = 1 and b = 2,

= -(1)^2(2) + 5(1)(2)^2

= -1(2) + 5(4)

= - 2 + 20

= 18

Answer:

Step-by-step explanation:

a(a^2 + a -1) +7

a^3+a^2-a+7

f(-1)=(-1)^3+(-1)^2-(-1)+7

f(-1)=-1+1+1+7

f(-1)=0+1+7

f(-1)=8

2ab(a+b)-3ab(a-b)

2a^2*b+2ab^2-3a^2*b+3ab^2

−a^2*b+5ab^2

when a=1 and b=2

−a^2*b+5ab^2

−(1)^2*2+5*1*2^2

-1*2+5*1*4

-2+5*4

-2+20

18

Answer:

Answer is 25°

Step-by-step explanation:

let me know if you got it correct

Answer:

y2 = m(x2-x1)+y1

Step-by-step explanation:

Given the formula for finding the slope of a linear equation to be;

m = y2-y1/x2-x1 where x and y are from the ordered pairs (x1,y1) and (x2,y2)

To get the equivalent equation for y2, we will make y2 the subject of tbw formula from the equation as shown:

m = y2-y1/x2-x1

Cross multiplying

m(x2-x1) = y2-y1

mx2-mx1 = y2-y1

Adding y1 to both sides of the equation we have;

mx2-mx1 + y1= y2-y1+y1

y2 = mx2-mx1 + y1

y2 = m(x2-x1)+y1

This gives the resulting equation to solve for y2

Answer:

c

Step-by-step explanation:

edg

Answer:

13.3

Step-by-step explanation:

The triangles are similar so we can use ratios to solve

AM             AN

---------- = ------------

AM+AB          AC

6             8

---------- = ------------

6+4          AC

Using cross products

6AC = 8 * 10

6AC = 80

Divide by 6

AC = 80/6

AC =13 1/3

AC = 13.33333

Answer:

11

Step-by-step explanation:

add

Step-by-step explanation:

_2x _3x+3+64-4=

_5x+63

Answer:

Irrational

Step-by-step explanation:

3 1/3 × √52

= 10/3 × √52

= 20/3√13

= 24.037009

Irrational, the product cannot be written in the form p/q as a fraction.

Answer:

irrational

Step-by-step explanation:

3 1/3 * sqrt(52)

Changing to an improper fraction

10/3 * sqrt(52)

10 /3 * sqrt( 4*13)

10/3 * sqrt(4) sqrt(13)

10/3 * 2 sqrt(13)

20/3 sqrt(13)

Since sqrt(13) is irrational the product is irrational

Step-by-step explanation:

Angle XBC = 55 degrees because it is a corresponding angle with Angle AXC

and corresponding angles are equal or congruent.

Ok so angle XBC = 55 degrees and since this an isosceles triangle

XBC = XCB which means XCB = 55 degrees

Now to find angle BXC we know that all angles of a triangle add up to 180 degrees.

Angle XBC + Angle XCB + Angle BXC = 180 degrees

Let x represent angle BXC

55 + 55 + x = 180

110 + x = 180

x = 180 - 110

x = 70

∴ Angle BXC = 70 degrees

Step-by-step explanation:

here first you have to find the perimeter of square

given that perimeter of circle is equal to perimeter of square,,,,, therefore with the perimeter of square you have to find the radius of the circle.....

now you have the radius of the circle so by applying the formula of area of circle the answer will be finded

Please follow

Answer:

38.47 units²

Step-by-step explanation:

I got it right on the test...

Answer:

The 3rd option

Step-by-step explanation:

To prove that 2 triangles are similar, we need to prove that 2 pairs of their angle measurements are congruent.

This is because all triangles have 180 degrees, so if 2 pairs are congruent, the remaining angles will also be congruent

We know that m<D=m<E

We also know that m<DCA=m<ECB because they are vertical angles.

Vertical angles are always congruent.

Therefore, the triangles are similar.

The correct similarity statement would be 1, since <D corresponds with <E.

Now let's look at the 3rd Statement. To prove that two lines are similar, we would have to prove that their alternate interior angles are congruent.

A pair of alternate interior angles would be <D and B or or <E  and <A

There is no way to prove this, since we do not know any of the angle  or that measurements or if the triangles are isosceles triangles.

Hence, the correct choice would be 1 only.

Answer:

length of side of square = (4x - 5) inches

Step-by-step explanation:

We are given;

Area of square = 16x² – 40x + 25

Let's find the roots of this quadratic equation [-b ± √(b² - 4ac)]/2a

Thus;

x = [-(-40) ± √((-40)² - 4(16 × 25)]/(2×16)

x = [40 ± √(1600 - 1600)]/32

x = (40 ± 0)/32

x = 40/32

x = 5/4

Thus, the factors of the polynomial are;

(4x - 5)²

So,

Area = 16x² – 40x + 25 = (4x - 5)²

Since, the right hand side is (4x - 5)² and area of square is (length of side)², thus we can say that length of side of square is (4x - 5) inches

Answer:

A

Step-by-step explanation:

[tex](10^{-2})^{4}[/tex]

Apply the law of exponents.

[tex]10^{-2 \times 4}[/tex]

[tex]=10^{-8}[/tex]

Answer:

[tex] = {10}^{ - 8} \\ [/tex]

Answer A is correct.

Step-by-step explanation:

[tex] {( {10}^{ - 2}) }^{4} \\ {10}^{ - 2 \times 4} \\ = {10}^{ - 8} [/tex]

Answer:

He has 8 possible choices

Step-by-step explanation:

Here, we want to know the number of choices Jill has.

He wants to buy either of the 2 pens.

In the first set , he has 4 styles to choose from

In the second set, he has also 4 styles to choose from

So his total number of possible choices would be 4 + 4 = 8 possible choices

Answer:

about 128 inches

Step-by-step explanation:

Since it's talking about how much the container is holding, this means we have to use the formula for the volume of a cone, which is  [tex]V=\pi r^{2} \frac{h}{3}[/tex]

Plug in the given values into the formula and solve for h:

[tex]340.2=\pi (5)^{2} \frac{h}{3}[/tex]

[tex]340.2=\pi (25)\frac{h}{3}[/tex]

[tex]\frac{340.2}{25\pi } = \frac{25\pi\frac{h}{3} }{25\pi }[/tex]

[tex]42.75=\frac{h}{3}[/tex]

[tex]42.75(3)=\frac{h}{3} (3)[/tex]

[tex]128=h[/tex]

CHECK THE COMPLETE QUESTION BELOW:

Supervisor: "Because you are working a late shift, you will get an increase in your wage. You will get an additional 10% per hour from 6:00 PM to 12:00 AM and additional 15% from 12:00 AM to 1:00 AM." Employee: "I am working from 2:00 PM to 12:00 AM. Between 2:00 PM and 6:00 PM, I will make $12.00 per hour. Between 6:00 PM and 12:00 AM, I will make __________ per hour

Answer:

I will make $13.2 per hour

Explanation:

It can be deducted from the question that that the money Employee gets money for Working from 2.00 PM to 6.00 PM = $12per hour

Also the Employee gets additional 10% of money for working from 6.00 PM to 12.00 AM which implies that

10% = (10/100)*$12per hour

=$1.2per hour

Again, Employee gets additional 15% of the money for working from 12.00 AM to 01.00 AM which can be calculated as:

15% = (15/100)*$12per hour

=$1.8 per hour

which means that Employee gets additional $1.8 per hour

of the money for working from 12.00 AM to 01.00 AM

Therefore, if Employee works from 2.00 PM to 12.00 AM,

Employee will gets money for Working from 2.00 PM to 6.00 PM as well as the 10\% extra wage which

= $12 + $1.2 = $13.2

= \$ 12 + \$ 1.2 = \$ 13.2

Answer:

It is proved that 2PQ + 2SR + 2QR + 2 PS = 4(2(OP)+2(OQ))

Step-by-step explanation:

In a rhombus, all sides are equal.

Thus, in this question;

PQ = SR = QR = PS

By inspection, QS is the same dimension as the four sides. So, QS = PQ

Thus, OQ = PQ/2

For OP, we can find it using Pythagoreas theorem since the angle that divides the diagonals is 90°

Thus;

|OP|² + |OQ|² = |PQ|²

Earlier, we saw that;OQ = PQ/2

Thus;

|OP|² + |PQ/2|² = |PQ|²

|OP|² = |PQ|² - |PQ/2|²

|OP|² = |PQ/2|²

Taking square root of both sides, we have;

OP = PQ/2

So,going back to the question, on the right hand side, we have;

4(2(OP) + 2(OQ))

Let's put,

PQ/2 for OQ and OP as gotten earlier

So,

4(2(PQ/2) + 2(PQ/2)) = 4(PQ + PQ)

Since PQ = SR = QR = PS, we can rewrite as;

4PQ + 4PQ = (PQ + SR + QR + PS) + (PQ + SR + QR + PS) = 2PQ + 2SR + 2QR + 2 PS

This is equal to the left hand side, so the equation is proved correct.

Answer:

Brainliest!!!

Step-by-step explanation:

A:B

1:2

B:C

4:3

B is both 4 and 2

In B:C, B is double (in ratio) than when B is in A:B

2:4:2

A:B:C

this would mean there is a total of 8

A would get  1/4 of the 90 pounds

Answer:

Less than 13 pounds of grapes,

as 14 pounds of grape exceeds $35.80,

If you order as low as zero pounds of grapes, then the price of apple pounds would be $35.80/20 =$1.79 per pound

Step-by-step explanation:

Let

Quantity of Apple and grapes=20

Cost of apple=$2.19

Cost of grape=$2.60

Total cost of apple and grape=$35.80

a+g=20

a=20-g

PaQa+PgQg=35.80

2.19(20-g)+2.60g=35.80

43.8-2.19g+2.60g=35.80

0.41g=35.80-43.8

0.41g=-8

g=-8/0.41

g= -19.51

PaQa+PgQg=35.80

2.19a+2.60(-19.51)=35.80

2.19a-50.726=35.80

2.19a=35.80+50.726

2.19a=86.526

a=86.526/2.19

=39.51

PaA+PgG=35.80

Pa(20-G)+2.60G=35.80

35.80/2.60 = 13.77 pounds of grapes, but no money will be left to buy apples, unless Pa=0

G<13.77

Answer: Option C.

Step-by-step explanation:

Ok, first, a linear function is something of the shape of:

y = a*x + b.

And the graph of those functions is a line, as the name implies, so we can discard that option.

So this must be a non-linear function, you can see that is a function because each value of x has only one value of y related to it.

Second, in a Venn diagram you will see that the set of functions is contained into the set of relationships, this means that all the functions are relationships, but not all the relationships are functions, and we know that this is a non-linear function, so this also must be a relationship.

Then the correct option is C, nonlinear, and a relationship.

Explanation:

The left-most point is at (-3,-2). The x coordinate is all we're concerned with here. The x coordinate for this point is x = -3. This is the smallest x value possible as an input. We cannot have x = -4 as that is nowhere on the blue curve.

So the domain is the set of real numbers x such that x is -4 or larger

In set builder notation, that would look like [tex]\{x|x\in\mathbb{R}, \ x \ge -3\}[/tex]

In interval notation, we would say [tex][-3, \infty)[/tex] to indicate to the reader "have an interval from -3 to positive infinity; include the endpoint -3"

Answer:

the answer will be

all real numbers greater than or equal to -3

which is d

Step-by-step explanation:

plz give me a Brainliest

thank you

hope it helped:)

Answer:

64 mph

Step-by-step explanation:

80 divided by 1.25 equals 64

1.25 is the decimal version of 1 and 1/4

Answer:

80/ 1 1/4

Step-by-step explanation:

Also CALM DOWN JAMAL DONT PULL OUT THE 9

Answer:

14

Step-by-step explanation:

The range of a given set of values is the lowest value deducted from the highest value.

Lowest value is -8 and highest value is 6.

Therefore,

[tex]Range = Highest value - Lowest value \\ = 6 - ( - 8) \\ = 6 + 8 \\ = 14[/tex]

Hope it helps!

Answer:

D.) If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.

Step-by-step explanation:

Let us assume x = selling price of each soccer ball

y = daily profit earned from selling of soccer balls

Given that

Y= [tex]-6x^2+100x-180[/tex]

where,

a = -6

b = 100

c = -180

Now we have to applied the formula which is as follows

x [tex]= \frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

[tex]= \frac{-100\pm\sqrt{100^2-4\times -6\times -180}}{2\times -6}$[/tex]

[tex]= \frac{-100\pm\sqrt{10,000 - 4,320}}{-12}$[/tex]

[tex]= \frac{-100\pm\sqrt{5.680}}{-12}$[/tex]

[tex]= \frac{-100 + 75.3658}{-12}$[/tex]

[tex]= \frac{24.6342}{-12}[/tex]

x^1 = -2.05285

Now

x^2  [tex]= \frac{-100 - 75.3658}{-12}$[/tex]

[tex]= \frac{- 175.3658}{-12}[/tex]

x^2 = 14.6138

Based on this the option D is most appropriate as per the given situation

Answer:

If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.

Answer:

Answer choice A) About 38.47 square units

Step-by-step explanation:

Since all four sides of a square have the same length, the perimeter of a square is just 4 times one of the side lengths. The perimeter of the square and therefore the circumference of the circle is 5.5*4=22. The circumference of a circle is 2 times the radius multiplied by pi. The radius of this circle is therefore:

[tex]\dfrac{22}{2\pi}\approx 3.503[/tex]

Since the area of a circle is [tex]\pi r^2[/tex], the area of this circle is:

[tex]\pi \cdot 3.503^2= 3.14\cdot 12.271\approx 38.47[/tex]

Hope this helps!

The area of a circle with a circumference that equals the perimeter of the square is  about 38.47 square units

Since all four sides of a square have the same length, the perimeter of a square is just 4 times one of the side lengths.

The perimeter of the square and therefore the circumference of the circle is [tex]5.5*4=22.[/tex]

The circumference of a circle is 2 times the radius multiplied by pi. The radius of this circle is, therefore

[tex]22/2\pi=3.503[/tex]

The area of a circle is [tex]\pi r^2[/tex],

the area of this circle is:

=[tex]\pi \times 3.305^2[/tex]

[tex]=3.14(12.27)[/tex]

=38.47 unit^2

Thus, The area of a circle with a circumference that equals the perimeter of the square is about 38.47 square units.

To learn more about the circle visit:

https://brainly.com/question/24375372

#SPJ2

Answer:

-9 degrees

Step-by-step explanation:

According to integer rules, the question involving subtraction. We form the statement: 3 - 12

Here, to make it simply, we do normal subtraction (12 - 3) and we add a negative sign.

Hope it helps and please mark as the brainliest