find the area of the figure

The value of x to satisfy the given case is 2.

The mid point theorem states that in a triangle the line segment joining the mid point of two sides is always parallel and equal to half of the length of the third side.

As per the given figure the data is as follows,

The line segment of length 6x + 7 is parallel to the side of a triangle of length 19x - 28 such that it divides other two sides equally.

Apply mid point theorem to obtain,

6x + 7 = 1/2(19x - 28)

=> 19x/2 - 6x = 14 - 7

=> 7x/2 = 7

=> x = 2

Hence, the value of x for the given triangle is 2.

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Answer:

D. 0

Step-by-step explanation:

I calculated logically

Answer:

c. 154 yd²

Step-by-step explanation:

Given

Diameter (d) = 14 yd

radius (r) = 14/2 = 7 yd

Area of the circle

= π r²

= 22 /7 * 7 * 7

= 154 yd²

Answer:

(-6, 6)

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

P(5) Represents the probability that the spinner will land on 5 after being spun once. Since 5 is one of three options on the wheel, the probability is 1/3

Answer:

The p-value is 0.0577.

Step-by-step explanation:

The alternate hypothesis is:

[tex]H_1: p > 40\%[/tex]

P-value of the test:

The p-value of the test is the probability of finding a sample proportion above the one found, which is 1 subtracted by the p-value of z.

We have that z = 1.574.

Looking at the z-table, z = 1.574 has a p-value of 0.9423

1 - 0.9423 = 0.0577

The p-value is 0.0577.

Answer:

see explanation

Step-by-step explanation:

HF is a perpendicular bisector of Δ EGH

Then Δ EGH is an isosceles triangle with 2 congruent sides GH and EH , so

GH = EH

3x - 8 = 2x ( subtract 2x from both sides )

x - 8 = 0 ( add 8 to both sides )

x = 8

Then

GH = 3x - 8 = 3(8) - 8 = 24 - 8 = 16

Answer:

From diagram, FG = EF

Solving fo HF and FG by Pythagorean Theorem

HF² = (3x -8)²  -FG²

HF² = (2x)² -FG²

We can eliminate HF² and FG² from BOTH equations because they cancel out.

The 2 equations become (3x -8)² = (2x)²

9x² -48x +64 = 4x²

5x² -48x +64 = 0

Using Quadratic Formula

X1 = 8

X2 = 1.6

********************************************

2x = 16 AND 2x = 3.2

F is 90°

3x -8 = 16 AND 3x -8 = 2.8

Step-by-step explanation:

Answer:

16. 0.57735

17. −0.707107

18. 0.5

19. 0.5

20. 2.61799387

21.  1.15470053

Answer:

7,300

Step-by-step explanation:

6900x2 years=13,800 total tuition.

13800-2500-4000 (2000x2)=7,300

Answer:

YES

Step-by-step explanation:

Any straight line can be represented by an equation of the form

Y = mX + b

where m is the slope and b is the Y intercept, so these two equations are lines. The only solution is where the two lines cross, so must satisfy both equations. Plugging in 3 for X and -2 for Y we get

Y = -3X + 7

-2 = -3(3) + 7

-2 = -9 + 7

-2 = -2 True

AND,

Y = 2X - 8

-2 = 2(3) - 8

-2 = 6 - 8

-2 = -2 True

So since both are true, yes (3, -2)  is the solution.

Answer: it is C

Step-by-step explanation:

Translation: (4,2) -> (3,1)

Dilation: (3,1) -> (6,2)

The solution is,  the coordinates of point R' are (7, 3) and the correct option is B.

A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.

here, we have,

Given:

The coordinate of point R in quadrilateral RUST are (4,2).

R is dilated by a scale factor of 2, centered at the origin, followed by the translation (x, y) + (x - 1, y - 1).

To find:

The coordinates of R' after dilation and translation.

Solution:

If a figure is dilated by a scale factor of 2, centered at the origin, then

(x, y) ⇒ ( 2x, 2y )

We value R(4,2).

R(4,2) ⇒ R_1( 8,4)

The rule of translation is:

(x, y) + (x - 1, y - 1).

Using this rule, we get

R_1( 8,4) ⇒ R' ( 7,3)

Therefore, the coordinates of point R' are (7, 3) and the correct option is B.

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Answer:

1/3

Step-by-step explanation:

there are 4 numbers total that are less than 3 and there are 12 sides total

so 4/12 would be the total and 1/3 would be simplified

Answer:

juicy no no square

Step-by-step explanation:

The value of x = z = 73 degrees and y = 107degrees

3) Geometry is a branch of mathematics that deals with the measurement of lines and angles.

From the diagram shown, we can see that the two lines intersect at a point. The following is therefore true:

The sum of z and 107 is supplementary. Hence;

Also, the sum of x and y is also supplementary. This shows that:

From the calculations, hence x = z = 73 degrees and y = 107degrees

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Answer:

1,467.6 cm³

Step-by-step explanation:

Volume of the solid = volume of the rectangular prism - volume of the cylinder

= L*W*H - πr²h

L = 12

W = 10

H = 16

r = ½(6) = 3

h = 16

Plug in the values

Volume of the solid = 12*10*16 - π*3²*16

= 1,920 - 452.40

= 1,467.6 cm³

Answer:

8ft

Step-by-step explanation:

Radius is the half of the diameter, which is 16ft in this circle. So half the diameter will be 16÷2 which is 8ft.

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[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

Because,

r = 1 d

ㅤ 2

r = 1 × 16

ㅤ 2

r = 8 ft.

9514 1404 393

Answer:

  5 and 8

Step-by-step explanation:

Factor pairs that make 40 are ...

  40 = 1×40 = 2×20 = 4×10 = 5×8

The pair that has a sum of 13 is 5 and 8.

Answer:

x=65

Step-by-step explanation:

that is all. It is isoceles triangle so if p is 65, l is also 65

Answer:

65 degrees

Step-by-step explanation:

The two sides of the angle is equal which means it is an isosceles triangle, the value will be 65 degrees

Answer:

y=mx+b

plug in -6 for y and -4 for x and - for m

-6=-(-4)+b

solve for b

b=-10

set up equation

Answer:

y=-x-10

or

y= -(x+4) - 6

Step-by-step explanation:

Point slope form:

y-y1=m(x-x1)

y+6=-1(x+4)

y= -x - 10

Answer:

$150

Step-by-step explanation:

I = prt

I = 5000(.06)(.5)

I = 150

Answer:

A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

Step-by-step explanation:

Answer:

The signs will be + and -

Step-by-step explanation:

Required

The signs in the parenthesis of difference of two squares

Let the expression be:

[tex](x^2 - a^2)[/tex]

Expand

[tex]x^2 - a^2 = x^2 -ax + ax - a^2[/tex]

Factorize

[tex]x^2 - a^2 = x(x -a) + a(x - a)[/tex]

Factor out x - a

[tex]x^2 - a^2 = (x +a)(x - a)[/tex]

See that the sign in front of a is + and - in the parentheses

Answer:

Rent

Step-by-step explanation:

I think

Answer:

Yes, Billy will have enough money to buy two denim shirts.

Step-by-step explanation:

£9.60 × (1/3)

= £3.20

On the special offer day, a denim shirt will cost £3.20.

£3.20×2 = £6.40

Two shirts will cost £6.40

Billy has £13, which will be enough for him to buy two shirts and will have a remaining balance of £6.60

==========================================================

It might help to draw a triangle to represent what's going on. See the diagram below.

Let's call the triangle ABC. We'll place point A at the 90 degree angle, so it's at the base of the tower. Place point B where the knight is located. Point C is the location of the window in the tower.

The knight is 15 feet away from the base, meaning AB = 15. With respect to the reference angle (B = 60), side AB = 15 is the adjacent side. The length of the ladder BC is the unknown hypotenuse. We'll call this x for now.

We'll use the cosine rule to connect the adjacent and hypotenuse.

cos(angle) = adjacent/hypotenuse

cos(B) = AB/BC

cos(60) = 15/x

x*cos(60) = 15

x = 15/cos(60)

x = 30

Your calculator needs to be in degree mode.

Because x = 30, we conclude that the ladder needs to be BC = 30 feet long.

Side note: For any special 30-60-90 right triangle, the hypotenuse is always twice as long compared to the shorter leg.

Answer:

30

Step-by-step explanation:

30/3 = 10

30/10 = 3

30/15 = 2

Hope this helps!

Answer:

C) y = (5^x)/2

Step-by-step explanation:

Answer:

speak english plz

Step-by-step explanation:

Answer:

The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that more people utilize the bike lane after the change.

Step-by-step explanation:

Before the upgrade, on any given day, it was known that the section of road saw an average of 350 unique cyclists. Test if more people are using now.

At the null hypothesis, we test if the same number of people is still using, that is, the mean is 350. So

[tex]H_0: \mu = 350[/tex]

At the alternate hypothesis, we test if this mean increased, that is:

[tex]H_1: \mu > 350[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

350 is tested at the null hypothesis:

This means that [tex]\mu = 350[/tex]

After the upgrade, they took a random sample of 35 days in the year and counted the number of unique cyclists each day. The average was 405 cyclists with a standard deviation of 25.

This means that [tex]n = 35, X = 405, s = 25[/tex].

Test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{405 - 350}{\frac{25}{\sqrt{35}}}[/tex]

[tex]t = 13.02[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 405, which is a right-tailed test with t = 13.02 and 35 - 1 = 34 degrees of freedom.

Using a t-distribution calculator, this probability is of 0.

The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that more people utilize the bike lane after the change.