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3 years ago

Triangle sum (3x+1)^0+(10x-11)^0+(3x-2)^0=180

Mathematics

1 answer:

svetlana [45]3 years ago

4 0

Answer:

x = 12
3x+1 = 37°
10x-11 = 109°
3x-2 = 34°

Step-by-step explanation:

Perhaps you want to know the value of x or the measures of the angles?

Simplifying the given equation, you get ...

(16x -12)° = 180°

16x = 192 . . . . . . . divide by °, add 12

x = 12

(3x+1)° = (3·12+1)° = 37°

(10x-11)° = (10·12-11)° = 109°

(3x-2)° = (3·12-2)° = 34°

x is 12, and the angle measures are 37°, 109°, 34°.

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One hundred twenty feet of fencing encloses a rectangular garden on three sides. One side of the garden is the side of a barn an

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Answer: The garden has dimensions 30 ft wide X 60 ft long

Step-by-step explanation:

Denote by W the width of the garden and L the length of the garden (longer side) as in the figure attached. The red sides on the figure represent the parts of the garden that require fencing.

L is also the measure of a vertical side of the garden, because a rectangle consists only of vertical and horizontal sides.

We know that the barn is parallel to the longer (vertical) side, so only one of the vertical sides L of the rectangle needs fencing. The other two parts correspond to the horizontal sides of the rectangle so they require 2W feet of fencing. Altogether, the 120 ft of fencing enclose the L+2W ft of the fence, then 120=L+2W. Because the longer side is twice the width, we have that L=2W, so 120=2W+2W=4W. From here, W=30 ft and L=2(30)= 60ft.

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3 years ago

21 is 84% of what number?

Radda [10]

21 is 84% of 25

Convert the percentage (84) into a decimal by dividing it over 100:
$\frac{84}{100} = 0.84$

Divide 21 over 0.84:
$\frac{21}{0.84} = 25$

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3 years ago

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John purchases goods for R450.00 including VAT . Calculate the amount he pays for VAT

Nady [450]

Answer:

Whats the percentage of the VAT?

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2 years ago

What is the length of the major axis of the ellipse (x-7)^2/4+(y+3)^2/16=1

yuradex [85]

$\bf \begin{array}{llll}
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2 years ago

If two right triangles each have a 30° angle, then the

Scorpion4ik [409]

Answer:

b. Similar

Step-by-step explanation:

Although angles are congruent the triangles are not as sides need to be the same too. Both shapes have 90 degree and 30 degree and add up to 180 degree in each triangle. Therefore each shapes angles are congruent but we dont know there size or scale, so they are similar. if they are the same (shape and size)- in other words, if the lengths of the sides and the angles are the same. So they are similar.

Because the angles are congruent and sizes are not shown they must be similar.

They cannot be obtuse as no angle is larger than 90 degrees and to be obtuse it would have to be larger than 90 deg and lower than 180 deg.

They cannot be equilateral as that means it couldn't be 30 degree and a right angle as equilateral means same angle sizes within 'one' triangle or for every or each triangle; as we know all triangles that are equilateral are 60, 60, 60 degrees to add up to 180 degree and cannot be an equilateral for this reason too as we have right angle triangles and equilateral are not right angles due to being 60 degree angle measures.

They are not fully congruent as we do not know there side measures so they have to be similar.

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3 years ago

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