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lana [24]
3 years ago
10

Find the missing length indicated​

Mathematics
2 answers:
zhuklara [117]3 years ago
5 0

Answer:

  • 108

Step-by-step explanation:

<u>Use the ratio of corresponding sides of similar triangles:</u>

  • 81 / x = x / 144
  • x² = 81*144
  • x = \sqrt{81*144}
  • x = 9*12
  • x = 108
DiKsa [7]3 years ago
4 0

Answer:

x = 108

Step-by-step explanation:

x is the height

from the Euclidian theorem we know that :

x^2 = 81*144

x^2 = 11664 find the root for both

x = 108

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Seven times the first (smaller) of two consecutive odd integers is equal to five times the second (larger) integer. Find each in
lbvjy [14]
<h2>Answer:</h2>
  • The smaller consecutive odd integer is: 5
  • and the larger consecutive odd integer is: 7
<h2>Step-by-step explanation:</h2>

Let the smaller odd integer be: a

then the larger odd integer which is consecutive to a will be: a+2

It is given that:

Seven times the first (smaller) of two consecutive odd integers is equal to five times the second (larger) integer.

This means that:

7 times of a is equal to 5 times of (a+2)

i.e.

7a=5(a+2)\\\\i.e.\\\\7a=5\times a+5\times 2

( Since, by using the distributive property of multiplication)

i.e.

7a=5a+10\\\\i.e.\\\\7a-5a=10\\\\i.e.\\\\2a=10\\\\i.e.\\\\a=5

Hence, the smaller number is:  5

and the larger number is: 7

( Since a+2=5+2=7 )

8 0
4 years ago
What is the square root of 9
Ber [7]
Answer: √9 = 3

Verification:

= 3 * 3
=> 9
4 0
2 years ago
Mandy's square quilt measures 99 inches on each edge. How many yards of trim does she need to buy to go around the entire quilt?
stellarik [79]
We know that 1 yard equals 36 inches, so we need to know how many yards represent 99 inches, lets use a rule of three:
36 in ------> 1 yd
99 in ------> x

x = (99)(1)/36
x = 2.75
therefore 99 inches equals 2.75 yards and that is the amount of trim that Mandy needs to go around the entire quilt
8 0
4 years ago
Simplify
Fofino [41]

Answer:

Step-by-step explanation:

Here you go mate

Step 1

8m+4n+7m-2n   Equation/Question

Step 2

8m+4n+7m-2n  Simplify

8m+4n+7m-2n

Step 3

8m+4n+7m-2n  Combine terms

(8m+7m)+(4n+-2n)

Step 4

(8m+7m)+(4n+-2n)  Add them

answer

15m+2n

Hope this helps

5 0
3 years ago
Solve for x in the following linear equation a)17-4x=8-x<br>b)3x/4=9 c)5x+6)(x+2)=56​
AnnyKZ [126]

Answer:

a) 3

b) 12

c) 4

Step-by-step explanation:

a)

17 - 4x = 8 - x

9 = 3x

x = 3

b)

3x ÷ 4 = 9

3x = 36

x = 12

c)

5x + 6 × (x + 2) = 56

5x + 6x + 12 = 56

11x = 44

x = 4

5 0
3 years ago
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