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Molodets [167]
4 years ago
15

The three inside angles (A,B and C) of a right angled triangle are in the ratio 7:18:11

Mathematics
1 answer:
Anastasy [175]4 years ago
6 0

This is overdetermined.  Without looking at the ratio (except for the order of the sides) the actute angles in a right triangle are complementary so the answer must be:

Answer: A=35°, C=90°, B=55°

We can do it the way they like.

7+18+11 =36

so to get 180 degrees we need to scale the ratio elements by a factor of 5.

7:18:11=35:90:55

A is the smallest.  We see C is indeed a right angle and B is complementary to A.

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A shop owner offerad a 20% discount off the regular price of a mirror. The amount of the discount is 3$ what is the regular pric
Troyanec [42]

Answer:

$15

Step-by-step explanation:

$3 correspond is the 20% discount of the total price.

If the total price is x then you can express the discount as:

0.20x = 3

x = 3/0.20

x = 15

3 0
4 years ago
JK=2X KL=X+2 and JK=5X-10
elixir [45]

JK + KL = JL

JK = 2x, KL = x + 2, JL = 5x - 10

therefore we heve the equation:

2x + (x + 2) = 5x - 10

3x + 2 = 5x - 10 |-2

3x = 5x - 12 |-5x

-2x = -12 |:(-2)

x = 6

JK = 2x → JK = 2(6) = 12

KL = x + 2 → KL = 6 + 2 = 8

JL = 5x - 10 → JL = 5(6) - 10 = 30 - 10 = 20

Check:

JK + KL = JL

12 + 8 = 20 CORRECT :)

5 0
3 years ago
PLEASE HElp asap <br> Solve for x.<br> x = [?]<br> X + 19<br> 7x + 9
Bess [88]
X + 19 + 7x + 9 = 180
8x + 28 = 180
8x = 180 - 28
8x = 152
X = 152 : 8
X = 19
3 0
3 years ago
A furniture company is producing three types of furniture. Product A requires 7 board feet of wood and 4 lbs of wicker. Product
saveliy_v [14]

Step-by-step explanation:

this is a linear programming problem, and we are expected to draw up the linear program for the solution of the problem.

The objective function is

Maximize

35A+42B+20C=P    

subject to constraints(board and wicker)

The constraints are

  board

7A+5B+4C=3000

 wicker

4A+5B+3C=1400

A>0, B>0, C>0

5 0
3 years ago
How much longer is a 1 inch button than 3/8 inch button
KengaRu [80]

3/8+x=1

x=5/8

A 1 inch button is 5/8 inches longer than a 3/8 inch button.

3 0
3 years ago
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