In circle D, ∠EDH ≅ ∠EDG.

Circle D is shown. Line segment F H is a diameter. Line segments D E and D G are radii. Lines are drawn from point E to point G and from point E to point H to form secants. The length of E J is 4 and the length of E H is 9. The measure of arc F E is 57 degrees and the measure of arc F G is 66 degrees.

What is the length of JG?

4 units
5 units
6 units
9 units

Answer:

...?

Step-by-step explanation:

Answer: choice B

Explanation: Go through each answer choice and try the Pythagorean theorem to see if it works. This is because a right triangle’s side lengths are described by the Pythagorean theorem. one side^2 + second side^2 = longest side^2. In a right triangle, this equation will be true. Let me show you what I mean

For answer choice A:

(root 2)^2 + (root 3)^2 = (root 4)^2

2 + 3 = 4

5 = 4

5 does not equal 4. Therefore it cannot be A.

For answer choice B:

(root 8)^2 + (3)^2 = (root 17)^2

8 + 9 = 17

17 = 17

this is true! therefore this is a right triangle and it’s B

Dimensions √17, 3, and √8 are the dimension of the right triangle. Thus, the correct option is B.

If the dimension satisfies the Pythagorean equation, then the triangle is a right-angle triangle.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side. The Pythagoras theorem formula is given as,

H² = P² + B²

Let's check the second option, then we have

(√17)² = 3² + (√8)²

17 = 9 + 8

17 = 17

Thus, the correct option is B.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

Answer:

5

Step-by-step explanation:

The median is the middle number when they are put in order from smallest to largest

1,2,4,5,5,8,8

There are 7 number so the middle is between 4th  number

1,2,4     ,5    ,5,8,8

The median is 5

[tex]\sf Answer: [/tex]

[tex]\sf 5 [/tex]

[tex]\sf Step-by-step~explanation: [/tex]

[tex]\sf List~the~numbers~in~order,~from~least~to~greatest. [/tex]

[tex]\sf 1   2   4   5   5   8   8   [/tex]

[tex][The~middle~number~is~5,~so~the~answer~is~going~to~be~5.[/tex]  [tex]This~is~because~a~median~is~the~number~in~the~middle.[/tex]      [tex]''~The~median~is~the~middle~number~in~a~sorted,~ascending~or~descending,~[/tex]    [tex]list~of~numbers~and~can~be~more~descriptive~of~that~data~set~than~the~average~'' ][/tex]

Answer:

slopes are equal

Step-by-step explanation:

If the 2 equations have no solution then the lines are parallel and never intersect.

Parallel lines have equal slopes.

Answer:

according to our rules ,we can find the formula for the slope by talking the first derivative

Answer:

C. [tex]\frac{12}{7}[/tex]

Step-by-step explanation:

To find the slope when you know two points, use this formula:

M = y₂ - y₁ ÷ x₂ - x₁

M = (4 - (-8)) ÷ (0 - (-7))

M = 12 ÷ 7

M = [tex]\frac{12}{7}[/tex]

Hope that helps.

Answer:

the answer is 8 bro

Step-by-step explanation:

4 to the power of 2 = 4 x 2 = 8

Answer

that is a  hard one

Step-by-step explanation:

[205.8-[4^(2)]+5]*4= 779.2

for the first one

Answer:

(2x-3)(x-4)

Step-by-step explanation:

Answer:

life is possible on earth due to layers of air that surround it

Answer:

cant see it do a better job at taking pitchers i will help you but i cant so c its a bad pitcher and yeah bye hope you have a good day

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

Answer:

edfghjkoijuhgyfdsdfghjkl

Step-by-step explanation:

Answer:

£12

Step-by-step explanation:

To find the original amount, divide 6.60 by 0.55:

6.60/0.55

= 12

So, Sophie had £12 to begin with

Answer:

0.216

Step-by-step explanation:

[tex]8 \times 1 \times 3 \times 0.1 \times 9 \times 0.01\\\\=(8\times1)(3\times0.1)(9\times0.01)\\\\=8(0.3)(0.09)\\\\=(8\times0.3)(0.09)\\\\=(2.4)(0.09)\\\\=2.4\times0.09\\\\=0.216[/tex]

is this the standard form?

Answer:

Step-by-step explanation:

Answer:

13.8

Step-by-step explanation:

8 is greater than 4 so you round up and get 13.8

Answer:

[tex]\huge\boxed{x=-3}[/tex]

Step-by-step explanation:

[tex]4x+2(x-3)=3x+x-12\qquad|\text{use the distributive property}\\\\4x+(2)(x)+(2)(-3)=3x+x-12\\\\4x+2x-6=3x+x-12\qquad|\text{combine like terms}\\\\(4x+2x)-6=(3x+x)-12\\\\6x-6=4x-12\qquad|\text{add 6 to both sides}\\\\6x-6+6=4x-12+6\\\\6x=4x-6\qquad|\text{subtract}\ 4x\ \text{from both sides}\\\\6x-4x=4x-4x-6\\\\2x=-6\qquad|\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{-6}{2}\\\\x=-3[/tex]

Answer:

13 units

Step-by-step explanation:

Giveb that :

Perimeter = 5/2 + 8/2 + 5/2 + 8/2

Hence, sum of the perimeter will be ;

The L. C. M of the denominator = 2

(5 + 8 + 5 + 8) / 2

= 26 / 2

= 13 units

Hence, the perimeter of the rectangle is 13 units

Answer:

first day: 650, second day: 325

Step-by-step explanation:

Let x be the number of miles travelled on the second day and  2x the number of miles travelled on the first day. They add up to 975.

2x+x=975

3x=975

x=325

x represents the number of miles travelled on the second day so they travelled 650 miles on the first day and 325 miles on the second day.

Answer:

650 miles the first day, 325 miles the second day

Step-by-step explanation:

We can call the distance they traveled on the first day as 2x and the distance they traveled on the second day as x. The former is 2x because they traveled twice as far the first day compared to the second day. Since the total distance traveled is 975 miles, we can write the following equation to solve for x:

[tex]2x + x = 975[/tex]

[tex]3x = 975[/tex] (Simplify LHS; 2x + x = 3x)

[tex]\frac{3x}{3}=\frac{975}{3}[/tex] (Divide both sides of the equation by 3 to get rid of the coefficient on x)

[tex]x = 325[/tex] (Simplify)

Therefore, [tex]2x = 2 * x = 2 * 325 = 650[/tex] so the final answer is they traveled 650 miles the first day and 325 miles the second day. Hope this helps!

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

Given

$x per adult

$8 per student

Population:

[tex]Students = 1[/tex]

[tex]Adults = 4[/tex]

[tex]Total = \$48[/tex]

Required

Determine the equation and solve for x

The system can be analyzed as thus:

The cost for 4 adults is: 4 * x

The cost for 1 students is: 8 * 1

Total Amount is: 48

From the analysis above, the equation is:

[tex]4 * x + 8 * 1 = 48[/tex]

[tex]4 x + 8 = 48[/tex]

Subtract 8 from both sides

[tex]4 x + 8 -8= 48 - 8[/tex]

[tex]4 x= 40[/tex]

Solve for x

[tex]x = 40/4[/tex]

[tex]x = 10[/tex]

Answer:

n=6t

Step-by-step explanation:

6 cars parked per hour

t is the hours

6 is the slope

y=mx+b

n=6t

Hope this helps.

Answer:

 ( -5•2x8y)

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "^-1" was replaced by "^(-1)".

Equation at the end of step 1

 ((5•(x3))•(y2))•(0-(2x5•y(-1)))

Equation at the end of step

 (5x3 • y2) •  -2x5y(-1)

Multiplying exponential expressions :

3.1    x3 multiplied by x5 = x(3 + 5) = x8

Multiplying exponential expressions :

3.2    y2 multiplied by y(-1) = y(2 + (-1)) = y1 = y

Answer:

 60xy

Step-by-step explanation:

Evaluate :  (5x+3y)2   =    25x2+30xy+9y2

Evaluate :  (5x-3y)2   =    25x2-30xy+9y2

Answer:

y = 3x - 7

Step-by-step explanation:

Slope-intercept form:

y = mx + b

Where:

y is the y value.

m is the slope.

x is the x value.

And b is the y-intercept.

First, you want to find your slope. To do this, you can either use the slope formula to find the slope, or just count on the picture:

m = rise/run

m = 3/1

m = 3

With the slope formula, you first need to choose two points.

I chose:

(2, -1) and (3, 2)

Slope formula:

m = (y2 - y1) / (x2 - x1) {It doesn't matter which point you choose to be x2 and x1, just be consistent when you plug it into the formula}

m = (2 - (-1)) / (3 - 2)

m = 3/1

m = 3

Now that you have your slope, all you need is your y-intercept. To find your y-intercept, you can either look at the graph (again) to see where the line intersects with the y-axis, or you can solve it algebraically:

y-int = -7

To solve algebraically, choose a random point on the line and plug it into what you have for your equation so far and then solve for b.

I chose:

(2, -1)

y = 3x + b

-1 = 3(2) + b

-1 = 6 + b

-1 - 6 = b

b = -7

Now you have your final answer:

y = 3x - 7

Answer:

229.5[tex]cm^{2}[/tex]

Step-by-step explanation:

In order to calculate the area of the arrow we need to calculate the area of the body of the arrow, and then the head of the arrow. The body of the arrow is a rectangle meaning that the area (Ar) can be calculated by multiplying the length by the height like so...

Ar = l * h

Ar = 11cm * 12cm

Ar = 132 [tex]cm^{2}[/tex]

Now we need to find the area of the head of the arrow, which is a triangle and therefore we can use the formula for the area of a triangle (At) which is height times base divided by 2...

At = [tex]\frac{h * b}{2}[/tex]

At = [tex]\frac{15cm * 13cm}{2}[/tex]

At = [tex]\frac{195cm^{2} }{2}[/tex]

At = 97.5[tex]cm^{2}[/tex]

Now we simply add both areas together to calculate the total area of the arrow...

132[tex]cm^{2}[/tex] + 97.5[tex]cm^{2}[/tex] = 229.5[tex]cm^{2}[/tex]

168 plese give me brainlyest

Answer:

1 2/21 liters

Step-by-step explanation:

Damon drank 2/3 liter of water Monday before going jogging. He drank 3/7 liter of water after his jog. How much water did Damon drink altogether?

Volume of water Damon drank before jogging = 2/3 liters

Volume of water Damon drank after jogging = 3/7 liters

Total volume of water Damon drank altogether = 2/3 liters + 3/7 liters

= 2/3 + 3/7

= 14+9/21

= 23/21

= 1 2/21

Total volume of water Damon drank altogether = 1 2/21 liters