Answers
Answer:
FG || BC.
Step-by-step explanation:
In the diagram, which is not drawn to scale, DE | FG || BC.
The measure of DA is 20 cm, the measure of EG is 12 cm and the measure of GC is 18 cm.
What is an equal intercept theorem?The theorem states if a transversal makes equal intercepts on three or more parallel lines, then any other line cutting them will also make equal intercepts. It means that given any three mutually perpendicular lines, a line passing through them forms intercepts in the corresponding ratio of the distances between the lines.
Here, EG = GA - AE
= 36-24
= 12 cm
Here, ΔADE is similar to ΔAGF
Now, AE/GA = AD/FA
⇒ 24/36 = AD/(AD+10)
⇒ 24 (AD+10) = 36AD
⇒ 24AD+240 = 36AD
⇒ 12AD =240
⇒ AD =20 cm
Here, ΔAGF is similar to ΔABC
Now, 30/45 = 36/AC
⇒ 30AC = 36×45
⇒ AC = 54 cm
So, GC = 54-36 = 18 cm
Therefore, the measure of AD is 20 cm, the measure of EG is 12 cm and the measure of GC is 18 cm.
Learn more about the equal intercept theorem here:
https://brainly.com/question/10235816.
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Related Questions
Simplify: 10√11(4√6+7) HELPPPP
Answers
Answer:
557.12527151
Step-by-step explanation:
PLEASE HELP ME I BEG OF YOU IF YOU HELP ME I WILL GIVE YOU BRAINTLIEST JUST PLEASE HELP ME "Julie goes to the sports store and spends $40.50 before tax. She buys a pair of shorts for $21.75 and 3 pairs of socks that each cost same amount. How Much does each pair of socks cost?" Please help me
Answers
23.75/3=7.916 which you would round up to 7.92 so the answer is “about $7.92”
7y - 9 = 3y + 19
a. 7
b. -4
C.
-7
d. 4
Answers
so y=7
A scientist makes $150,000 per year. She deposits 5% of her yearly income in a travel savings account. How much money should she have in her savings account by the the end of the year in dollars and cents? -pleaseee hurryy
Answers
Answer:
Step-by-step explanation:
KALIS2007
Answer:
7500
Step-by-step explanation:
Find the GCF of 14x and 18xy
Answers
Answer:
2x
Step-by-step explanation:
first find the GCF of 14 and 18
2
and then find the GCF of x and x
x
= 2x
hope it's helpful ❤❤❤❤
THANK YOU.
#
The greatest common factor of 14x and 18xy is 2x if the numbers are 14x and 18xy.
What is LCM?It is defined as the common number of two integers, which is the lowest number that is a multiple of two or more numbers. The full name of LCM is the least common multiple.
It is given that:
The GCF of 14x and 18xy
As we know, GCF is the greatest common factor.
The greatest common factor of 14 and 18 or
GCF(14, 18) = 2
And the greatest common factor of GCF of x and xy
= x
the greatest common factor of 14x and 18xy is:
= 2x
Thus, the greatest common factor of 14x and 18xy is 2x if the numbers are 14x and 18xy.
Learn more about the LCM here:
brainly.com/question/20739723
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Write an inequality for the graph below.
'न
34
10
।। 12 13 14
Answers
Answer:
i like cheese wbu hahahahahaha
Simplify
7x^0 y^-2 (2y^4)
A. 14xy^2
B. 9y^2
C. 14/y^2
D. 14y^2
Answers
Answer:
the answer is d
Step-by-step explanation:
7*y^-2*2y^4
D. 14y^2
Step-by-step explanation:
please mark brainliest :)
HELPP IS THIS CORRECT
Answers
Answer:
Looks correct.
Step-by-step explanation:
The lines (absolute value) turn the negatives to positive.
Hope you get it correct!
(i need more characters to send this but yeah you're correct. congrats :) )
F(t) 2t-3
F(7)=?
What does f(7) equal?
Answers
Answer:
F(7) = 11
Step-by-step explanation:
F(7) = 2(7) -3
= 14 - 3
= 11
Answer:
f(7)=2/7t+-3/7
Step-by-step explanation:
you just have to plug 7 in and put an = sign which makes F(7)=2t-3 then solve
What is the slope intercept ?
Answers
Answer:
y=mx+b
Step-by-step explanation:
that is the equation
can someone answer this asap :))
^^ all i need is the second one shown in the picture, you don’t have to do #1 :)
also can u please show everything step by step so i can understand? thank you!
Answers
the red is y>8x-4, the blue is y>-1/2x+1/2
2x-.25y < 1 is equal to 2x-1/4y < 1
multiply each side by 4:
8x-y < 4
add y to each side:
8x < 4+y
subtract 4 from each side:
8x-4 < y
rewrite:
y > 8x-4
4x+8y > 4
divide both sides by 8:
1/2x+y > 1/2
subtract -1/2x from each side:
y > -1/2x + 1/2
y=4x+3
in slope intercept form
Answers
The answer is y=4x+3, it's already in slope intercept form.
rexs pizza is currently have a special for delivery orders pizzas are $8 each and the delivery charge is $1.75 Write an equation for the total cost
Answers
Answer:
8x + 1.75 = y
Step-by-step explanation:
Read the question and look for key words.
In this questions the key words are Each and Total.
x is for each pizza purchased and y is total cost.
The delivery charge is a one time charge so no need to add a letter because people don't buy more than one delivery charge.
Hope this helps!
what is 8x > -136??????
Answers
Hope this helps
x > -17
Evaluate (2-3)^4
(4) - 9 = 3.
O -7
O-2
O 1
O 2
Answers
What geometric shapes can you draw that have no pairs of parallel sides
a.) parallelogram
b.) isosceles triangle
c.) rhombus
d.) regular octagon
Answers
Answer:
B
Step-by-step explanation:
Isosceles have no parallel sides, there lines go inward into each other.
Answer:
b
Step-by-step explanation:
A line through which two points would be parallel to a line with a slope of 3/4?
a
(0,-2) and (-4,-2)
b
(0,5) and (-4,2)
c
(0,2) and (-4,1)
d
(0,0) and (0,-2)
Answers
Answer:
F. (0, 5) and (-4, 2)
Step-by-step explanation:
We need to calculate the slope of each of the given sets of points until we find the set associated with a slope of 3/4:
F. (0,5) and (-4,2) As we go from (-4, 2) to (0,5), x increases by 4 and y increases by 3, so the slope is m = rise / run = 3/4. This is the line with slope 3/4.
How many solutions does the following equation have? 5(x + 3)= 5x + 3
HELP!!
Answers
Helppppp meeeee please
Answers
Answer:
0.61
Step-by-step explanation:
To raise a fraction to a power, rise the numerator and denominator to that power : 1/4 + 9/25
Add the fraction : 61/100
answer is 61/100 or 0.61
hope this helped ;)
The are of a rectangle is 12x² - 8x - 15. The width is (2x - 3). What is the length of the rectangle?
Answers
Answer:
The length of the rectangle is (6x+5)
how do you solve this equation?
Answers
Answer:
[tex]5 \sqrt{2} [/tex]
= 7.071067812
Step-by-step explanation:
hope this helps
Please help
What is 5x(1+6x) simplified
Answers
Answer: 35x is the answer
Step-by-step explanation:
5x + 30x
35x
Jerry is saving his money. He started with $15.00. If he adds $10.00 to his savings
each month, how much will he have saved after 2.5 months?
Answers
Answer:
$40
Step-by-step explanation:
use y = mx + b
y = amount saved = ?
m = amount saved per week = $10
x = time (in months) saving = 2.5
b = money jerry started with = $15
plug in:
y = (10)(2.5)+15
y = $40
A number divided by 3 and then 4 is added to the quotient.the result is 8.find the number
Answers
Answer:
12
Step-by-step explanation:
8-4= 4 So, 4 is the quotient.
4x3= 12 So 12 is the original number
12/3 + 4= 8
What is 10 divided by 1/2?
Answers
Answer:
[tex]20[/tex]
Step-by-step explanation:
1. Use rule: a ÷ b/c = a × c/b.
[tex]10 \times 2[/tex]
2. Simplify.
[tex]20[/tex]
Therefor, the answer is 20.
The Henry family drove 276.5 miles on the family vacation. They used 7.9 gallons of gas. How many miles per gallon of gas did they get on the trip?
Answers
Answer:To solve this problem you would have to write 276.5 over 7.9 and divide the numerator and denominator by 7.9 since you want miles per gallon (it should have a denominator of 1 after you divide). When you do this you will get 35, so the Henry family got 35 miles per gallon of gas on the trip.
Step-by-step explanation:
The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
Answers
Answer:
x = -4, 4
Step-by-step explanation:
Given graph in the attachment represents the function y = f(x)
Real solutions of the function means all the points where the curve of the graph either touches or crosses the x-axis.
Since, graph of the function touches and crosses at x = -4 and x = 4
Therefore, all real solutions of the function are x = -4 and x = 4
Are heart rate and age proportional or non proportional for each method
Answers
Answer:
Yes
Step-by-step explanation:
For example
Doctors have two methods of calculating maximum heart rate. With the first method, maximum heart rate, y, in beats per minute is y=220−x, where x is the person’s age.
Alice walks her dog on a 10-foot leash.
While Alice is standing still, what is the
area of space the dog has to roam while
on the leash?
Answers
Answer:
31.4159...feet
Step-by-step explanation:
The area of a circle is 2x radius squaredx pi
Find the slope of y-intercept of the line represented by the table. Please look at the photo
Answers
Answer:
The slope is m= 4 and the y intercept is b= 9
Step-by-step explanation:
The slope is found by using change in y over change in x, or rise over run. From the table, this means, how much does y change for every time x goes up. As you can see, every time x increases by one, y increases by 4. So that´s your slope. The y intercept is when the line crosses the y axis, where x=0. Because you already know the slope, and that when x is one, y is 13, all you have to do is to know that going backwards by one for x means going backwards by 4 for y, and 13-4 is 9.