1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Advocard [28]
2 years ago
10

Please help with math

Mathematics
1 answer:
Andru [333]2 years ago
6 0

Answer:

Scale factor  = 3

Step-by-step explanation:

Using similar triangles

AT/AG = AB/AC

9/3 = x+10/3x-10

Cross multiply

3(x+10) = 9(3x-10)

Expand

3x+30 = 27x-90

3x-27x = -90 - 30

-24x = -120

x = 120/24

x = 5

For the larger triangle;

AC = 3x-10

AC = 3(5)-10

AC =15-10

AC = 5

AB = x+10

AB = 5+10

AB = 15

For the scale factor;

Since AT/AG = AB/AC

9/15 = 3/5

3*3/5*3 =3/5

Since the numerator and denominator of the larger triangle is multiplies by the same factor i.3 3. Hence the scale factor is 3

You might be interested in
Eileen collected 98 empty cans to recycle and Carl 82 cans. They packed a equal number of cans into each of three boxes. How man
Sonbull [250]

Answer: 60 cans in each box


Step-by-step explanation:

98+82=180

180/3=60

8 0
3 years ago
Simplify the rational expression. State any restrictions on the variable n^4-11n^2+30/ n^4-7n^2+10
djyliett [7]
To factor both numerator and denominator in this rational expression we are going to substitute n^{2} with x; so n^{2} =x and n ^{4} =  x^{2}. This way we can rewrite the expression as follows:
\frac{n^{4}-11n^{2} +30 }{n^{2}-7n^{2} +10 } =  \frac{ x^{2} -11x+30}{ x^{2} -7x+10}
Now we have two much easier to factor expressions of the form a x^{2} +bx+c. For the numerator we need to find two numbers whose product is c (30) and its sum b (-11); those numbers are -5 and -6. (-5)(-6)=30 and -5-6=-11.
Similarly, for the denominator those numbers are -2 and -5. (-2)(-5)=10 and -2-5=-7. Now we can factor both numerator and denominator:
\frac{ x^{2} -11x+30}{ x^{2} -7x+10} = \frac{(x-6)(x-5)}{(x-2)(x-5)}
Notice that we have (x-5) in both numerator and denominator, so we can cancel those out:
\frac{x-6}{x-2}
But remember than x= n^{2}, so lets replace that to get back to our original variable:
\frac{n^{2}-6 }{n^{2}-2 }
Last but not least, the denominator of rational expression can't be zero, so the only restriction in the variable is n^{2} -2 \neq 0
n^{2}  \neq 2
n \neq +or- \sqrt{2}
5 0
3 years ago
Read 2 more answers
A drama class has a total of
Alecsey [184]
42-14= 28
28÷2=14
answer: there are 14 females in the class and 28 males in the class

Check:14+28=42
5 0
3 years ago
Read 2 more answers
find the slope of the line that passes through the given two points state if the slope is positive, negative, zero or undefined|
Lilit [14]
I hope this helpss.

3 0
3 years ago
The mean temperature for the first 7 days in January was 4 °C. The temperature on the 8th day was 3 °C. What is the mean tempera
Bad White [126]

Answer:

Mean temperature for the first 8 days was  3.88^\circ

Step-by-step explanation:

Mean = \frac{4\cdot 7+3\cdot 1}{8}

=3.88^\circ

Best Regards!

3 0
2 years ago
Read 2 more answers
Other questions:
  • The sum of 40 consecutive integers is 100. what is the smallest of these 40 integers
    8·1 answer
  • Please help me with this math problem :)
    15·1 answer
  • Which inequalities are true? Check all that apply.
    9·2 answers
  • Elizabeth is draining the water from a public pool. The pool is being drained at a rate of 714 gallons per hour. Which graph app
    10·1 answer
  • How do you do 1 kilometers 125 meters - 375 meters
    12·2 answers
  • if a car travels 370.3 miles on 52 liters of gas, how many liters of.gas.will take to go 722 miles.if the car travels at the sam
    10·1 answer
  • the access code for a car's security system consists of four digits. the first digit cannot be 1 and the last digit must be even
    8·1 answer
  • Please help meeeeee for points
    14·2 answers
  • What is the value of x?<br> Enter your answer in the box.<br> units
    9·1 answer
  • PLEASE HELP I NEED HELP IN THIS GRADE 11 MATH PLS
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!