Triangle fgh is an isosceles right triangle with a hypotenuse that measures 16 units. an altitude, line segment g j, is drawn from the right angle to the hypotenuse. what is the length of line segment g j? 2 units 4 units 6 units 8 units

Answers

Answer 1

The square of the altitude is equal to the product of the base of the triangles

Triangular altitude theorem

The square of the altitude is equal to the product of the base of the triangles. The length of line segment GJ is 8units

According to the theorem;

GJ² = HJ*JF

Determine the value of x using the pythagorean theorem

[tex]x^2+x^2=16\\2x^2=16\\x^2=8\\x=\sqrt{8}\\x=2\sqrt{2}[/tex]

According to the theorem;

GJ² = HJ*JF

HJ + JF = 16

Since HJ = JF, hence

HJ = JF = 8

Substitute

GJ² = HJ*JF

GJ² = 8 * 8
GJ² = 64

GJ = 8units

Hence the length of line segment GJ is 8units

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Triangle Fgh Is An Isosceles Right Triangle With A Hypotenuse That Measures 16 Units. An Altitude, Line
Answer 2

Answer:

8

Step-by-step explanation:


Related Questions

how to solve 4.56x1,000

Answers

Answer:

4560

Step-by-step explanation:

There are 3 zeros in 1000. If you are multiplying, move the decimal place over however many places to the right that there are zeros. For example,

4.56 x 1000

45.6 x 100

456 x 10

4560 x 1

We moved the decimal place to the right one every time we removed a zero.

This method is extremely useful for multiplying by 1, 10, 100, etc.

Hope this helps!

(This method is an easy yet complicated way to multiply by)

Check whether the ordered pair, (4,10) is a solution of the given equation: y=4x-2

Answers

Answer:

No, it is not

Step-by-step explanation:

If you substitute 4 for x, the answer is 14. 14 does not equal 10. Therefore, it is not a solution.

help me thank you please help

Answers

Answer:

I think 2 but sorry if I'm wrong

Step-by-step explanation:

helppppppppp asa-pppppppppppppppppp-

Answers

Answer:

I got the mean of A is 6 and the mean of b is 3.5

Step-by-step explanation:

If correct i dont mind brainlest

Factor the algebraic expression.
32a+28

Answers

Answer:

The answer is: 4(8a+7) I think...

Have a nice day

What is the answer to16-5/2?

Answers

Answer:

the answer to this question is 5½

Given ABCD is a trapezoid ad=10 bc=8 ck is altititude of abc=30
find area if abcd

Answers

The area of the given trapezoid ABCD in the image shown is calculated as: 54 units²

What is the Area of a Trapezoid?

Area of a trapezoid = 1/2(a + b)h.

Given the following:

Area of triangle ACD = 1/2(AD)(CK) = 30 units²

1/2(10)(CK) = 30 units²

5(CK) = 30

CK = 6 units (altitude of trapezoid ABCD)

Area of the trapezoid = 1/2(a + b)h = 1/2(10 + 8)6

Area of the trapezoid = 54 units²

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Write the product using exponents.

Answers

An exponent is the number of times something is multiplied by itself

Answer: (1/5)^2 * x^3

On a coordinate plane, parallelogram k l m n shown. point k is at (7, 7), point l is at (5, 3), point m is at (1, 1), and point n is at (3, 5). which statement proves that parallelogram klmn is a rhombus? the midpoint of both diagonals is (4, 4). the length of km is startroot 72 endroot and the length of nl is startroot 8 endroot. the slopes of lm and kn are both one-half and nk = ml = startroot 20 endroot. the slope of km is 1 and the slope of nl is –1.

Answers

The statement that proves that parallelogram KLMN is a rhombus is. The slope of KM is 1 and the slope of NL is –1.

What is a Rhombus?

This is a type of quadrilateral that has four sides of which they are all equal.

Hence, given that KLMN is a parallelogram, K(7,7), L(5,3), M(1,1) and N(3,5).

We know that they bisect each other and if the diagonals of a parallelogram are perpendicular to each other then the parallelogram is a rhombus.

Therefore, The slope of KM is 1 and the slope of NL is –1.

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Answer: D.

Step-by-step explanation: On Edge!!

Identify all solutions for the graph (Check as many that apply)

Answers

Answer:

the darkest shaded one.

Step-by-step explanation:

because the two areas for possible answers both intersect at that area, therefore, that is the answer.

Which graph represents the system of equations?

y = -2x + 1
y =-2x^2+1

Answers

Answer:

(0,1) (1,-1)

Second graph on top row is your answer.

Step-by-step explanation:

Bobby has a party while his parents are away for the weekend. Bobby estimated that if his 9 friends hep him to clean the house, they will finish in time if they start 8 hours before his parents return. But after only two hours of cleaning, Bobby's parents call and say they are just two hours from home. How many more friends does Bobby need to call to help finish cleaning in time.

Answers

The number of more friends that Bobby need to call to help finish cleaning in time is 20 friends.

Number of additional friends needed

Let x represent number of more friends

Number of hours=8×(9+1)

Number of hours=8×10

Number of hours=80 hours

Hence:

10×2+2(10+x)=80

20+20+2x=80

Collect like terms

2x=80-40

2x=40

Divide both side by 2x

x=40/2

x=20 friends

Therefore the number of more friends that Bobby need to call to help finish cleaning in time is 20 friends.

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what is the domain of f(x)=2log _3(4x−8)

Answers

Answer:

{X€ IR : x>2}

Or

[tex]x \in \: )2 \: + \infty ([/tex]

What is the volume in cubic feet of a refrigerator whose interior is 4. 5 feet tall, 2. 5 feet wide, and 2 feet deep?

25. cuft

Answers

Answer:

22.5 feet

Step-by-step explanation:

volume of a retangular shape: l*w*h

4.5*2.5*2=22.5

To determine whether students
want a new school mascot, Abby
surveys every 25th student from an
alphabetized list of students in the
school. Will the survey results from
this sample support a valid inference?
Explain.

Answers

Using sampling concepts, it is found that the sample would not support a valid inference, as both alphabetized and non-alphabetized students should be sampled.

What is sampling?

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

The school has both alphabetized and non-alphabetized students, and both groups should be sampled for a valid inference to be made. Since only alphabetized students are sampled, the sample would not support a valid inference.

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PLEASE HELP URGENT 30 POINTS
What transformation maps a circle with radius r onto a congruent circle with radius s and the same center?

Answers

Answer:

C

Step-by-step explanation:

Because xyx-x=483=s739

x,y=rx,ry

Calculate: 5(3*7^15-19*7^14)/7^16+3*7^15

Answers

Step-by-step explanation:

=7¹⁵x 15-7¹⁴x 95/7¹⁶+7¹⁵x3

=1425×7²⁹/7¹⁶+7¹⁵×3

20 POINTS!!! HELP QUICK
Find the volume of this compound figure.

Hint: Half a sphere and a cylinder

Use 3.14 for pi!

Answers

The volume of the given shape will be equal to V=2827.42 cubic inches.

What is volume?

The volume is defined as the space occupied by the object in the three-dimensional plane. It requires three coordinates to find the volume of any object.

Here it is given in the question that:-

Radius of the semicircle=12 inches

Height of the cylinder =13 inches.

Now the volume will be calculated as:-

Total volume of the figure will be the sum of the Volume of the semicircle and the Volume of the cylinder.

= 2πr³+πr²l

= 2xπx(6)³+πx(6)²x13

=1357.16+1470.26

=2827.42  Cubic inches                      

Hence the volume of the given shape will be equal to V=2827.42 cubic inches.

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what’s the area and perimeter for this problem?

Answers

Answer:

0.71 m²

Step-by-step explanation:

Area of triangle:

base = b = 0.75 m

altitude= h = 1.9 m

   [tex]\boxed{\text{\bf Area of triangle = $\dfrac{1}{2}b*h$}}[/tex]

                                   [tex]\sf = \dfrac{1}{2}*0.75*1.9\\\\ =0.7125\\\\ = 0.71 \ m^2[/tex]

coles rectangular garden has an area of 54 square feet what could be the dementions of the garden

Answers

Answer:

The garden dimension are 9ft and 6ft

Step-by-step explanation:

As promised, Ive attached my work

There also could be the sizes of

3ft by 18ft

2ft by 27ft

1ft by 54ft

I need help with this asap (50 Points)

Answers

Answer:

 Multiply this measurement by two to account for both sides. Add the three separate measurements together. Because surface area is the total area of all of the faces of an object, the final step is to add all of the individually calculated areas together.

Step-by-step explanation:

Systematic random sample
What’s the definition

Answers

Answer: Systematic sampling is a type of probability sampling method where sample members from a larger population are selected based on a random starting point but with a fixed, periodic gap.

Step-by-step explanation:

Richard Henry takes out $25,000 of ordinary whole life when he is forty-three years old. A. Annual premium b. Semiannual premium

Answers

If Richard Henry takes out $25,000 of ordinary whole life when he is forty-three years old is: A. Annual premium.

What is annual premium?

Annual premium can be defined as the premium amount a person pay per year, yearly or annually.

Based on the scenario the whole life is an example of long term insurance.

Reason been that  annual  premium are often used  for long term insurance in which the policy holder is expected to stop paying the premium when he/she reach a certain age that is stated on the policy terms and condition.

Therefore If Richard Henry takes out $25,000 of ordinary whole life when he is forty-three years old is: A. Annual premium.

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Answer:

618.25-annual     309.13-semiannual

Step-by-step explanation:

oddesy

PLEASE HELP ME!!!

Identify the factors of x^2-4x-13

(x+4)(x-3)
(x-4)(x+3)
(x-2)(x+6)
(x+2)(x-6)

Answers

Answer:

The expression is not factorable with rational numbers.

Except if you made a typo in your equation and it's x^2-4x-12

calculation:

-6x2=12

-6+2=-4

Then the answer will be (x+2)(x-6)

l = 12 cm
b = 6 cm

Find area.

Answers

Answer: 72 cm^2

Step-by-Step Explanation:

Area = l * b

Therefore,
=> l * b
= 12 * 6
= 72

Therefore, Area is 72 cm^2

[tex]\rule{300}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}[/tex]

l=12 cm; b=6 cm. What is the area?

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

[tex]\sf{Formula\:for\:Area:-}[/tex]

[tex]\sf{A=LB}[/tex]

According to the above formula, we should multiply L times B, or in this case, 12 times 6:-

[tex]\sf{A=12\times6}[/tex][tex]\sf{A=72cm^2}[/tex] (area is always measured in units squared)

Good luck with your studies.

[tex]\rule{300}{1}[/tex]

The Phythagorean Theorem is

Answers

Answer: False

Step-by-step explanation:

The Pythagorean Theorem is [tex]a^2+b^2=c^2[/tex]

Answer:

false

Step-by-step explanation:

a2 + b2 = c2

i have no idea what its asking and I'm in connection academy b

Answers

[tex]\bold{ANSWER:}[/tex]
-5,-3,1,7

[tex]\bold{EXPLANATIONS:}[/tex]

What is the slope of the line through the points (-2, -1) and (4, 3)? ​

Answers

Ans: 2/3

Step-by-step explanation:

Formula : [tex]m = \frac{y2 - y1}{x2- x1}[/tex]  (Then replace the number in )

= 3- (-1) / 4 - (-2) = 4 / 6 = 2 / 3

Step-by-step explanation:

the slope is always the ratio "y coordinate change / x coordinate change" when going from one point on the line to another.

so, when going from (-2, -1) to (4, 3)

x changes by +6 (from -2 to 4).

y changes by +4 (from -1 to 3).

therefore, the slope is

+4/+6 = 4/6 = 2/3

What is the volume of the rectangular prism?
94.5 yd3
58.0 yd3
25.5 yd3
20.5 yd3

Answers

Answer:

94.5yd³

Step-by-step explanation:

volume = length × width × height

length = 7 yd , width = 4.5 yd and height = 3 yd

so volume = 7 × 4.5 × 3 = 94.5yd³

A rectangle's width is 2 meters shorter than its length, /. Its area is 168 square meters. Which equation can be used
to find the length of the rectangle?

Answers

Answer:

x(x-2)=168

x=14

Step-by-step explanation:

Let the length of the rectangle be x.

width=(x-2)

x(x-2)=168

x^2-2x=168

x=14, x=-12 (rejected)

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