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
saw5 [17]
2 years ago
15

9. If AJKL - ANML, find the values of x and y.

Mathematics
1 answer:
sergeinik [125]2 years ago
8 0

Answer:

x = 35, y = 18

Step-by-step explanation:

Since both triangles are similar, their sides must be proportional with means all of them have a common ratio.

If NM = 16, and KJ = 40. 40/16 is the ratio from ∆<u>NM</u>L to ∆<u>JK</u>L. The reciprocal(numerator and denominator flip, the product of a number and it's reciprocal is 1) of this is true from ∆JKL to ∆NML.

Now to find the missing sides you multiply a side by the common ratio to find it's corresponding side length.

Dividing by a number is the same as multiplying by the reciprocal of that number.

40/16 can be reduced to 5/2 or 2 ½ as a mixed fraction.

16/40 can be reduced to 2/5 or 0.4 as a decimal.

Since the scale of ∆JKL is greater than ∆NML, you multiply by 5/2 to get the corresponding side of ∆JKL from ∆NML.

Since the scale of ∆NML is less than ∆JKL, you multiply by 2/5 to get the corresponding side of ∆NNL from ∆JKL.

Therefore x = 14 × 5/2 = 70/2 = 35.

y = 45 × 2/5 = 90/5 = 18.

You might be interested in
The sum of twice a number and five is greater than three times the number minus three.
AnnZ [28]

Answer:

x<8

Step-by-step explanation:

2x+5>3x-3

2x+8>3x

8>x

5 0
2 years ago
Read 2 more answers
F(x)<br> = x + 2<br> g(x) = 3x + 3<br> Find (f•g)(-6)
Lunna [17]

Answer:

(-4*-15) = 60

4 0
3 years ago
Evaluate 3 to the power of 3 + 6 (2 + 3/6)
melamori03 [73]
If 3 + 6(2 + 3/6) is actually the power, then simplify 3 + 6(2 + 3/6) as a first step.  Must follow Order of Operations rules (PEMDAS):  mult and div BEFORE addition and subtraction. 

Thus, 3 + 6(2 + 3/6)  = 3 + 6 (15/6)
                                   = 3 + 15  =  18.

Then:  3^18 is the answer.  You could expand this if you wanted, but what would be the point of that?
8 0
3 years ago
Find the greatest common factor of the picture
SCORPION-xisa [38]

63x^5=3x^5\cdot21\\\\3bx^{10}=3x^5\cdot bx^5\\\\GCF(63x^5;\ 3bx^{10})=3x^5

7 0
3 years ago
Please please please help
Eduardwww [97]

Answer:

I. B. true

II. A true

Step-by-step explanation:

we can use the quadratic equation:

x=\frac{-b+-\sqrt{b^{2}-4*a*c}}{2*a}

we have:

1)x^{2} -4x+5

a=1 b=-4 c=5

x=\frac{-(-4)+-\sqrt{(-4)^{2}-4*1*5}}{2*1} \\\\x=\frac{4+-\sqrt{-4}}{2} \\\\x=\frac{4+-\sqrt{4} i}{2}\\\\x=\frac{4+-2i}{2} \\\\x_{1} =2-i\\\\x_{2} =2+i

the quadratic expression has two complex factors.

2)x^{2} -5x+14

a=1 b=-5 c=14

x=\frac{-(-5)+-\sqrt{(-5)^{2}-4*1*14}}{2*1} \\\\x=\frac{5+-\sqrt{-31}}{2} \\\\x=\frac{5+-\sqrt{31} i}{2}\\\\x_{1} =\frac{5-\sqrt{31}i }{2}\\ \\x_{2} =\frac{5+\sqrt{31}i }{2}

the solution of x^{2} -5x+14 are

x_{1} =\frac{5-\sqrt{31}i }{2}\\\\or\\x_{2} =\frac{5+\sqrt{31}i }{2}

3)2x^{2} -8x+5

a=2 b=-8 c=5

x=\frac{-(-8)+-\sqrt{(-8)^{2}-4*2*5}}{2*2} \\\\x=\frac{8+-\sqrt{24}}{4} \\\\x=\frac{8+-2\sqrt{6}}{4}\\\\x_{1} =2-\frac{\sqrt{6}}{2}\\ \\x_{2} =2+\frac{\sqrt{6}}{2}

7 0
3 years ago
Other questions:
  • What is the height of this triangle?
    14·2 answers
  • A map has a scale of 1 in. : 4 mi.
    12·1 answer
  • Find the area of the triangle QRS.
    8·2 answers
  • can someone please answer questions 1,3,7,9 and 10 for me im dumb and suck so bad at geometry thank you
    5·1 answer
  • Write a quadratic equation in factored form whose solutions are 7 and -5
    14·2 answers
  • What is the area of the semicircle?
    12·1 answer
  • Is the opposite of 32, is 32?
    5·1 answer
  • Diego has budgeted $35 from his summer job earnings to buy shorts and socks for soccer. He needs 5 pairs of socks and a pair of
    5·2 answers
  • Rewrite the expression in the form 5^n<br><br> (5^-8) (5^-10)
    14·2 answers
  • (4 x 10,000) + (2 x 1,000) + (9 x1 00) + (4 x 1 0) + (6 x 1) + (3 x 0.1) + (7 x 0.01) in standard form
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!