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kolezko [41]
3 years ago
12

Find the measure of an angle such that the difference between its supplement and 3 times its complement is 46°.

Mathematics
1 answer:
artcher [175]3 years ago
8 0

supplement means the sum of the two angles is 180° → y = 180 - x

complement means the sum of the two angles is 90° → y = 90 - x

supplement - 3(complement) = 46

(180 - x) - 3(90 - x) = 46

(180 - x) - 270 + 3x = 46

2x - 90 = 46

2x = 136

x = 68

Answer: 68°

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kotegsom [21]

Step1: Find the area of the triangular lawn

             Given, base of the triangle is y metres and the height is z metres

             Area of the triangle =

2

1

​

× base × height

             Therefore, area of the triangular lawn =

2

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​

yz metre  

2

.

Step 2:Find the cost of planting the grass

             Rate of planting the grass is Rs. x per square metre.

             Therefore, the cost of planting the grass on a triangular lawn =cost per square meter × area of the triangular lawn

              =x×

2

1

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yz=

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xyz

Hence, the cost of planting the grass on a triangular lawn whose base is y metres and  height is z metres is Rs.  

2

1

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x y z.

Step-by-step explanation:

3 0
2 years ago
Write x(x-2)+3(2-x) as a product of binomials. Hint: you may want to manipulate (2-x) first. Check to see If you have written an
dmitriy555 [2]

Answer:

x²-5x+6

Step-by-step explanation:

The question is to find product in : x(x-2)+3(2-x)-----------(a)

Make terms in brackets same by introducing a negative sign as;

Collect like terms as : x(x-2) - 3 (x-2)------------ (b)

Note that expression (a) is similar to (b)

Factorize equation (b) as : (x-3)(x-2)

Distribute as : x(x-2) -3 (x-2 ) ------ x²-2x-3x+6

Collect like terms as: x²-5x+6

Final expression : x²-5x+6

Testing with x=5 in original expression

x(x-2)+3(2-x)

5(5-2)+3(2-5)

25-10+6-15

25+6-10-15

31-10-15=6

Using the final expression;

x²-5x+6

5²-5(5)+6

25-25+6

=6

3 0
4 years ago
If the sum of 9 and 3x is 4 more than 13, what is the value of 12x?
yuradex [85]

Answer:

1

Step-by-step explanation:

im not very confident about this answer but it should work

4 0
3 years ago
What is the constant term in the expression 24xy -5yz + 82z - 62
Ivanshal [37]

\text{The constant term is the term that doesn't have a variable in it}\\\\\text{As you can see in the expression 24xy -5yz + 82z - 62, the only term}\\\text{that doesn't have a variable is -62}\\\\\text{This means that -62 would be your constant term}\\\\\boxed{\text{Constant term: -62}}

6 0
3 years ago
Tariq lives in Palm Beach, Florida, and purchased a house for $250,000. The amount of millage for property tax is 11.8. What is
irina1246 [14]

Correction

Property tax is 11.8% not just 11.8

Answer:

$29, 500

Step-by-step explanation:

Given tax of 11.8% then it means beside the cost if the house, Tariq pays amount equivalent to 11.8%.

Given the the cost of the house is $250, 000 then the amount of tax will be

\frac {11.8}{100}\times 250000

This will be 0.118*$250000=$29, 500

Therefore, the amount of tax is equal to $29, 500

8 0
4 years ago
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