Mathematics High School

In the diagram of DGF below, HE||GF, DH=6, DE=4, and EF=16. What is the
length of DG?

In The Diagram Of DGF Below, HE||GF, DH=6, DE=4, And EF=16. What Is Thelength Of DG?

Answers

Answer 1

Step-by-step explanation:

[tex] \frac{de}{df} = \frac{dh}{dg} \\ \frac{4}{16} = \frac{6}{dg} \\ dg = \frac{6 \times 16}{4} \\ dg = 24[/tex]

Answer 2
the ratio of the sides of the smaller triangle vs the larger triangle is 1:5 because when the smaller triangles side is 4, the larger one is 20. We could use this information to multiply the hypotenuse of the smaller triangle by 5 to get the hypotenuse of DFG, which is 30.

Related Questions

Write the equation of the line in slope intercept form

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

a car drives at a speed 90 km/h for 2 hours and 20 mintues, how far does the car drive?

Answer in km. ​

Answers

Here you go! I hope this helped !

Use an equation to find the value of k
so that the line passing through (−4,k)
and (6,−7)
has a slope of −1/-5
.

Answers

Answer:

Explanation:

The slope can be found by using the formula:

m

=

y

2

−

y

1

x

2

−

x

1

Where

m

is the slope and (

x

1

,

y

1

) and (

x

2

,

y

2

) are the two points on the line.

Substitute the values given in the problem and solve for

K

:

1

=

4

−

−

K

−

1

−

2

1

=

4

+

K

−

3

−

3

×

1

=

−

3

×

4

+

K

−

3

−

3

=

−

3

×

4

+

K

−

3

−

3

=

4

+

K

−

3

−

4

=

4

+

K

−

4

−

3

−

4

=

4

−

4

+

K

−

7

=

0

+

K

−

7

=

K

K

=

−

7

Answer link

Rewrite 3.768 – 1.2 to make the divisor a whole number. Select the answer choice that shows the correct setup for long division and answer. O A. A. 12) 3.768 = 3.14 O B. 12) 3.768 = 0.314 O c. 12) 37.68 = 3.14 O D. 12) 37.68 = 3.41 SUBMIT​

Answers

Answer:

Step-by-step explanation:

That answer is: 12 divided by 37.68 = 3.14

Can someone help me please

Answers

Answer:

Step-by-step explanation:

Because 2 1/4=2 2/8

so 2 2/8 - 1 1/8 equals 1 1/4

:)

What is the circunference of this circle?
r = 2 km

Answers

Answer: C≈12.57km or 12570 m

Step-by-step explanation:

circumference of circle. = 2πr

= 2× 22/7× 2

= 12.57km

=12.57. ×. 1000 m

= 12570 m

help with this question

Answers

Answer:

b

Step-by-step explanation:

The sum of a number times 8 and 23 s greater than or equal to -20

Answers

True
ughhhhhhh why does it need to be 20 characters
I don’t know lm sorry

When two number cubes are rolled, what is the probability of getting 5 or 4 as the product of the two numbers

Answers

Answer:

5/36

Step-by-step explanation:

number cubes are rolled = dies that have 6 faces with numbers 1,2,3,4,5,6

Getting 5 or 4 as the product of the two numbers.

How many ways we can get 5 or 4 as a product?

5 ways : 1*4, 1*5, 2*2, 4*1, and 5*1

All possible  outcomes are 36 (see table)

P = ways to get 4 or 5 as a product/ all possible ways = 5/36

For each ordered pair, determine whether it is a solution to 5x+7y=-3.
Is it a solution?

(-4,-3)

(-2,1)

(6,0)

(5, – 4)

Answers

Answer:

-2,1 I am pretty sure that is correct.

A speedy biker can travel 5 km per t hours. What expressions best illustrates the situation

Answers

Answer:

5 km

--------

   t

Step-by-step explanation:

The biker's speed is the unit rate

5 km

--------   where t is in hours

   t

unas pinzas se usan para sacar una espina que opone 0,5N de resistencia. la pinza mide 8 cm y la presion de ejerce a 4 cm de fulcro.

Answers

Answer:

its 12cm

Step-by-step explanation:

What is the interval notation for all real numbers?

Answers

Answer:

15 15 17 17 19 30

Step-by-step explanation:

to ne and to 69 04 16 97 50 27

Nicole bought a meal in a town with a 8% sales tax. She tips 20% on the bill, and then adds the sales tax. What is the total cost of the meal if she orders a $15 menu item.

Answers

Answer:  the total cost of the meal is $19.35.

Step-by-step explanation

What does s equal 2 plzz I need it plzzz

Answers

Answer:

16

Step-by-step explanation:

another brainlest please

A line with a slope of –1 passes through the point (–6, 4) . What is its equation in slope -intercept form?

Answers

Answer:

y=-1x-2

Step-by-step explanation:

Someone plz help me :(

Answers

Answer:

option (A) is correct 360minutes

Equation a line into slope-intercept form simplifying fractions 5x+6y=42?

Answers

Answer:

5x+6y = 42

Step-by-step explanation:

solve for y

6y = -5x + 42

y = (-5/6)x +42/6

y =(-5/6)x + 7 where -5/6=slope and 7=y intercept

Let’s start from 5x+6y=42.

We want it to get down to y= something. Since we are trying to convert it to y=mx+b form!

5x+6y=42

Subtract 5x on both sides.

6y=-5x+42

Divide both sides by 6.


y=-5/6x+7.

And that’s the equation in slope intercept form!

Mike bought a set of golf clubs that cost k dollars. He signed an installment agreement requiring
a 5% down payment and monthly payments of g dollars for 12 years.
a.
Express his down payment algebraically.
b. How many monthly payments must Mike make?
C.
Write expressions for the total amount of the monthly payments and the finance charge.

Answers

Using the appropriate interest relation, the solution to the problems posed are :

Down payment = 0.05k 144 monthly payments Total monthly payment made = 144g

Down payment :

5% of total cost Total cost = k

5% × k = 0.05k

B.)

Number of monthly payments :

Number of months per year = 12

Number of years = 12

Number of monthly payments = 12 × 12 = 144

C.)

Total charge :

Monthly payment = $g

Number of monthly payments × amount paid

g × 144 = 144g

Learn more : https://brainly.com/question/25644130

3. For each object, choose an appropriate scale fora

drawing that fits on a regular sheet of paper, Not all of the

scales on the list will be used,

20

Objects

A. A person

B. A football field

(120 yards by

53, yards)

C. The state of

Washington

(about 240

miles by 360

miles)

The floor plan

of a house

E. A rectangular

farm (6 miles

by 2 mile)

Scales

1. 1 in : 111

Di cm: 1m

3. 1:1000

4. Ift: 1 mile

5. 1:100,000

6.1 mm: 1 km

7. 1:10,000,000

Answers

I’m not sure but pls mark brainly answer I need points :)

Answer:

Step-by-step explanation:

A person: 1 in : 1 ft

A football field (120 yards by 53 1/3 yards) is 10,000,000

C The state of Washington (about 240 miles by 360 is 1 fit: 1 mile

D The floor plan of a house is 1 mm: 1 km

E A rectangular farm (6 miles by 2 mile) is 1 cm : 1 cm

What is the estimate product of 210×733.

Answers

Answer:

153930

Step-by-step explanation:

The sum of three numbers is 164. The second number is 3 more than twice the first number, and the third number is four times the first number. What are the three numbers

Answers

Answer:

23, 49, and 92

Step-by-step explanation:

three numbers x, y, z

x+y+z=164

y=2x+3

z=4x

we have three equations and two of them are in terms of x so we can solve for x first by plugging in the two equations to our first equation

x+2x+3+4x=164

7x+3=164

7x=161

x=23

then find y

y=2(23)+3=46+3=49

then find z

z=4(23)=92

What is the y-intercept of the following equation? *
*
y = – 11x – 5


Answers

Answer:

(0,-5)

Step-by-step explanation:

Write an equation of slope intercept form for the line that passes through (-4,2) with a slope of 3

Answers

Hi it would be letter b times c times 47 times 99 and c and b equal 2000

What is the solution to x 4 – 12x 2 + 10 > 0?

Answers

Answer:

X>5/4

Step-by-step explanation:

What is the solution to x 4 – 12x 2 + 10 > 0?

Name the scale of the number line shown. 9 13 17 21 25 29
(please hurry)​

Answers

Answer:

The answer is 4 because the difference of two numbers is 4.

1) If you can read 40 pages in 2 hours, how many pages can you read in 5 hours?
es
A) 20
B) 80
C) 100
D) 200

Answers

Answer:

C) 100

Step-by-step explanation:

If you can read 40 pages in 2 hours that means you can read 20 pages in 1 hour. therefore in 5 hours you can read 20 times 5 = 100 pages

the answer is c your welcome

What is 3 3/7 in it's simplest form?

Answers

Answer:

Mixed Number: 3 3/7

Improper Fraction: 24/7

Step-by-step explanation:

3 3/7 is already in its simplest form. However, we can also turn it into an improper fraction.

3 3/7 --> 24/7

You get that by multiplying 3 and 7 (21) and then adding the numerator (3) to get 24. The denominator (7) remains the same. All in all, it becomes: 24/7

Write the equation of equation of the line parallel to 5x - 2y = 10 that goes through the point (-3, 6).
Can someone pls help me with this,ill give you brainliest,help asap pls

Answers

Answer:

y=5/2x+13.5

Step-by-step explanation:

5x-2y=10

-2y=-5x+10

y= 5/2x-5

y-6=5/2(x+3)

y-6=5/2x+ 7.5

y=5/2x+13.5

Answer:

Step-by-step explanation:

First you must isolate y in the given equation

5x - 2y = 10                   Subtract 5x from both sides

-2y = -5x + 10                Divide both sides by - 2

y = -5/-2 x + 10 / -2          

y = 2.5 x - 5                The new equation has a slope of 2.5

x = - 2

y = 6

y = 2.5x + b

6 = 2.5*-2 + b

6 = -5 +   b                  Add 5 to both sides

6+ 5 = b

b = 11

Answer: y = 2.5x + 11

Solve the system of equations. 2x - y + 3z =5, -6x + 3y - 9z = -15, 4x - 2y + 6z = 10

Answers

2x+3z=y+5

Step 2: Add -3z to both sides.

2x+3z+−3z=y+5+−3z

2x=y−3z+5

Step 3: Divide both sides by 2.

2x/2

=y−3z+5/2

x=1/2y+

−3/2z+

5/2

Answer:

x=1/2y+

−3/2z+

5/2

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