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Irina-Kira [14]
3 years ago
6

The two triangles are similar. Determine the values of x, y, and z.

Mathematics
1 answer:
insens350 [35]3 years ago
8 0

Answer:

y= 20 m

x= 15 m

z= 22 degree

Step-by-step explanation:

15+x=30 m

x=30-15

x= 15 m

z-18=40

z= 40-18

z= 22m

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Match the two numbers with their least common multiple (LCM).
timurjin [86]

Answer:

  • 8 and 4: A
  • 8 and 6: C
  • 8 and 10: B

Step-by-step explanation:

<u>8 and 4:</u>

Multiples of 8: 8, 16, 24

Multiples of 4: 4, 8, 12, 16

<u>8 and 6:</u>

Multiples of 8: 8, 16, 24

Multiples of 6: 6, 12, 18, 24

<u>8</u><u> </u><u>and</u><u> </u><u>10</u><u>:</u>

Multiples of 8: 8, 16, 24, 32, 40

Multiples of 10: 10, 20, 30, 40

4 0
3 years ago
You buy a game for $40, and the sales tax is $2. What percent of the game price are you paying in sales tax?
Andreas93 [3]
To get the answer we can use proportion
40$ ------------- 100%
2$ ---------------- x
crossmultiply now
40x=2*100           /:40
x=200:40
x=5% - its the answer
6 0
3 years ago
Read 2 more answers
How many arrangements of three letter can be formed from the letters of the word MATH if anyletter will not be used more than on
Mariulka [41]

Combinations = n! / (n - r)! r!

C\text{ = }\frac{n!}{(n-r)!\text{ r!}}\text{ }

In this case:

n = 4

r = 3

Combinations = 4! /(4-3)! 3! = 24/(1)(6) = 24/6 = 4

Answer:

4 arrangements

7 0
1 year ago
If a 42.9 ft tall flagpole casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall woman casts?
blsea [12.9K]
We will have to use proportions:
\frac{42.9}{253.1}  =  \frac{6.2}{x}
Cross multiplying we get
42.9x = 6.2 \times 253.1
Now divide:
x =  \frac{6.2 \times 253.1}{42.9}
Solve to tenths place we get
x = 36.6
The woman casts a 36.6 ft long shadow.
3 0
3 years ago
If f(p) divided by x-p and x-q have the same remainder
oee [108]
Hello,


x^2-y^2=(x+y)(x-y)
x^3-y^3=(x-y)(x²+xy+y²)

Let's use Horner's division

.........|a^3|a^2.|a^1..........|a^0
.........|1....|5....|6..............|8....
a=p...|......|p....|5p+p^2....|6p+5p^2+p^3
----------------------------------------------------------
.........|1....|5+p|6+5p+p^2|8+6p+5p^2+p^3

The remainder is 8+6p+5p^2+p^3 or 8+6q+5q^2+q^3


Thus:
8+6p+5p^2+p^3 = 8+6q+5q^2+q^3
==>p^3-q^3+5p^2-5q^2+6p-6p=0
==>(p-q)(p²+pq+q²)+5(p-q)(p+q)+6(p-q)=0
==>(p-q)[p²+pq+q²+5p+5q+6]=0 or p≠q
==>p²+pq+q²+5p+5q+6=0

And here, Mehek are there sufficients explanations?
3 0
3 years ago
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