What is EG? (image below)
The answer of EG is 30. We can find it by Triangle Proportionality Theorem and Angle Bisector Theorem.
What is Triangle Proportionality Theorem?According to Triangle Proportionality Theorem, A triangle's other two sides are proportionately divided by a line that runs parallel to one of its sides.
So here, [tex]\frac{DN}{NG} = \frac{DM}{ME}[/tex] (Triangle Proportionality Theorem)
⇒ [tex]\frac{30}{24} = \frac{y}{12}[/tex]
⇒ 24 * y = 30 * 12
⇒ y = 15
So, we get [tex]DE = y + 12 = 15 + 12 = 27[/tex]
The angle bisector theorem states that a triangle's opposing side is divided into two halves by an angle bisector that is proportionate to the triangle's other two sides.
Now, we can find EG by Angle Bisector Theorem,
⇒ [tex]\frac{DG}{FG} = \frac{DE}{FE}[/tex]
⇒ [tex]\frac{54}{x+10} = \frac{27}{x}[/tex]
⇒ [tex]54x= 27 x + 270[/tex]
⇒ [tex]54x-27x = 270[/tex]
⇒ [tex]27x = 270[/tex]
⇒ [tex]x = 10.[/tex]
So, [tex]EG = x + x + 10 = 2x + 10 = 20 + 10 = 30[/tex].
So, finally we get EG = 30.
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Pls help with this problem
Step-by-step explanation:
the value of x = 21 degree
by linear pair :
3x + 117 = 180
3x= 63
x = 21
plz mark my answer as brainlist .hope this will be helpful to you .
guys can u help me im cunfused
Answer:
2k
Step-by-step explanation:
-k + 3k = 2k
what is 5.5% of $24.9
Answer:
1.3695 US$
Step-by-step explanation:
Answer:
1.37
Step-by-step explanation:
First, convert the percent (5.5%) to a decimal by dividing it by 100 and you get 0.055 After this you multiply 0.055 by 24.9 and get 1.37
Which equation is equivalent to StartRoot x squared + 81 EndRoot = x + 10? x + 9 = x + 10 x + 9 = x2 + 20x + 100 x2 + 81 = x2 + 100 x2 + 81 = x2 + 20x + 100
Answer:
D on edge
Step-by-step explanation:
I got several quiz checks
Answer:
D) x2 + 81 = x2 + 20x + 100
Step-by-step explanation:
PLEASE HELP IT'S TIMED
Order from least to greatest 0, -1.9, -1 4/5, -1/3, and 0.25
Answer:
0.25, 4/5, 1/3, 1.9 and you answer mine please
Answer:
-1.9,-1 4/5, -1/3, 0, .25
Step-by-step explanation:
I really need help please help me
Answer:
2.82
Step-by-step explanation:
I tried my best so im sorry if it isnt correct
x4-5x2-24=0
(x2+3) (x2-8)=0
x2 +3=0
x= 2.82
Segment A'B' is parallel to segment AB.
What is the length of segment AB?
Answer:
7.5
Step-by-step explanation:
5/6=x/9
cross multiply
6x=45
x=45/6
x=7 3/6 = 7 1/2 = 7.5
What is the perimeter and area of this shape:
i added a picture, pls answer correctly and don’t guess. Answer choices for perimeter are:
7.14, 8,28, 10.28, 16.56
Answer choices for area are:
7.14, 8.28, 12.56, 16.56
A dolphin is at -25 feet. It swims up and jumps out of the water to a height of 10 feet. Write a subtraction expression for the vertical distance the dolphin travels
Answer:
35 feets
Step-by-step explanation:
Initial Position = - 25 feets
Final height reached after jumping = 10 feets
The vertical distance traveled by dolphin :
Final height reached - Initial position
(10 feets) - (-25 feets)
10 feets + 25 feets
= 35 feets
What is the least number of bills Sean could use to make $40
Answer:
2 bills (20 and 20)
Step-by-step explanation:
There is no $40 bill, so 2 is the least number you can use to make 40$, which would be 20 and 20
Answer:
2
Step-by-step explanation:
2, $20 bills?
The decimal 4.6 is the same as what fraction?
Answer:
23/5
is the 4.6 fraction
The decimal 4.6 is equivalent to the fraction 23/5.
The whole number part of the decimal, which is 4, will be the numerator of the fraction.
The decimal part, which is 0.6, will be the numerator of the fraction divided by the appropriate power of 10.
In this case, the decimal has one digit after the decimal point, so we divide it by 10¹.
0.6 / (10¹)
= 0.6 / 10 = 6/10
Simplify the fraction if possible.
Both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case.
6/10 = (6/2) / (10/2) = 3/5
Therefore, the decimal 4.6 is equivalent to the fraction 4 3/5 or simply 23/5 after simplification.
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10.The school needs to purchase a new refrigerator for student rewards. Lowes and Sears have the model
that the school would like to purchase. Lowes is having a 15% off sale and Sears is having a 10% off
sale with free delivery. If the original price at both stores is Lowes is $700, which is the better buy if
there is a $25 for delivery from Lowes?
What is the solution to this system of equations? Remember to write your solution as a a point (x, y).
Answer:
(1,-3) 1 is x and 3 is y because the two arrows intersept in that coordinate
Write an expression equivalent to 12+5t−4+15t+1
Answer:
20t + 9
Step-by-step explanation:
12+5t−4+15t+1
20t + 9
(Simplified version)
Answer:
The answer is 20t+9
Step-by-step explanation:
a positive number multiplied or divided by a negative number is always
negative or positive
Answer:
Negative
Step-by-step explanation:
Think about it this way, you cannot do something positive and then do something negative and it still be positive. You cannot do something negative and then do something positive for it to be positive. But you can do something positive and do something else positive for it to remain positive the same with negative. Therefore the answer is "negative."
Rules:
Positive ÷ Negative = Negative
Positive × Positive = Positive
Negative ÷ Negative = Positive
Hope this helps.
jesse has $13.45 in his piggy bank. His bank contains only dimes and quarters. there are 100 coins in all. how many of each type of coin does he have?
PLEASE HELPPP MEEEEE
Find the value of x in the triangle shown below.
6
10
Answer:
50
Step-by-step explanation:
The value of x is 50 degrees
bcoz it is isosceles triangle
so two angles are equal
so value of x is 50
I hope this will help u
Answer:
x=5
Step-by-step explanation:
Pls help me ill mark branliest
Answer:
She shouldn't tip at all since that's a ridiculous concept
Step-by-step explanation:
common sense
SORRY MADE A MISTAKE WITH THE CALCULATOR I KNEW I MESSED SOMETHING UP
The cost of the meal was $22 so that's the price plus tax and tax is 10% of the price so
cost = price + 0.1*price
cost = 1.1 * price
price = cost / 1.1
price = 22 / 1.1 = 20
now we need 20% of that so that's
20 * 0.2 = 4
If she's simple-minded enough to tip that would amount to $4
Quadrilateral ABCD is dilated to create A'B'C'D'. Which of these statements about the similar quadrilaterals are true? I. The scale factor used in the dilation is 2. II. The length of DC¯¯¯¯¯¯¯¯ is dilated by a scale factor of 12 to create a length of D′C¯¯¯¯¯¯¯¯¯′ of 4. III. Angle A is both congruent and corresponding to Angle A'. IV. The dilation is a reduction.
Answer the Equation:
I'm just too lazy to do it
8-7x-14=
Answer:
-7x - 6 i think
Step-by-step explanation:
-7x
8-14=6
Answer:
-196
lol your not the only lazy 1
Step-by-step explanation:
Write the GCF. Then factor using the distributive property. Check your answer by applying the distributive property. 8 + 12
Answer:
yo mumu
Step-by-step explanation:
what is the meaning of pie
Answer:
PIE means persuade inform and entertain
Step-by-step explanation:
Credit usage increased during the 20s based on many factors. Explain
Answer:
Credit utilization is your ratio of credit card debt to credit limits—and the second ... to build a credit record and receive a credit score, along with many other benefits. ... however, you might find yourself with lower credit scores, a more difficult time ... 20 of 21. Woman reading through financial statements
Step-by-step explanation:
IF U ANSWER THESE QUESTIONS I WILL GIVE BRAINLIEST! 3 MINUTES!!!
Answer:
the answer is B. for problem 6
the answer for problem 8 is C.
Step-by-step explanation:
what does x equal in this equation
Answer:
x=2
Step-by-step explanation:
You have to subtract 8 from both sides.
-5x+8=-2
-8 -8
----------------
-5x= -10
now divide both sides by -5.
x=-10/-5
(And two negatives make a positive.)
x=10/5
now you have to simplify 10/5
10/5 simplified is 2
so the answer is:
x=2
I hope this helps. :)
Find x? Please can you help me explain.
Thank you
Answer:
root3/ root2
Step-by-step explanation:
since this is a special right triangle (45, 45, 90) we can use right triangle rules. Basically, C in my photo is equal to the hypotenuse while A and B are equal to the sides. You can substitute your hypotenuse into the formula I gave you to find x.
B = C / root2
x = root3 / root2
hope this helped a little bit
Plssss helpppp!!!!!!!
Answer:
Subtract 6 from both sides so the equation equals 0 ;)
Step-by-step explanation:
Answer:
Subtract 6 from both sides!
Step-by-step explanation:
I got it wrong at first 0-0
Determine how many solutions exist for this system of equations:
–67 – 2g = 10
y=-3x - 5
A No solution
B One solution
Infinitely many solutions
D Two solutions
SHOW HINT
y
3x+y
=−6x+8
=−4
\begin{aligned} y&=-6x+8\\\\ y&=-3x-4 \end{aligned}
y
y
=−6x+8
=−3x−4
Given the sequence 31,24,17,10......
What would the 11th term of the sequence be?
The 11th term of the sequence is
Scientific Calculator
Answer:
-39
Step-by-step explanation:
This sequence follows the pattern of subtracting 7 each time. We can prove this:
31 - 7 = 24, 24 - 7 = 17, 17 - 7 = 10
So if we were to continue to the 11th term, we would subtract 7 more times.
1. 10 - 7 = 3
2. 3 - 7 = -4
3. -4 - 7 = -11
4. -11 - 7 = -18
5. -18 - 7 = -25
6. -25 - 7 = -32
7. -32 - 7 = -39
The 11th term in the sequence would be -39.
