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3 years ago

Find the value of x and y

Mathematics

1 answer:

Lesechka [4]3 years ago

7 0

Answer:

x = 33, y = 17

Step-by-step explanation:

1) the sum of all the angles in any triangle is 180 degrees

2) when 2 lines intersect, the angles opposite each other are equal

3) the sum of any angles that break up one side of a straight line is 180

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Which of the following is a step in evaluating: ∫ cos2 5x dx

Sav [38]

From the following choices, the correct step in evaluating: ∫ cos2 5x dx is 1 - cos 10x / 2dx.

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3 years ago

Chung is practicing archery so far he has fired 5 arrows at a target and hit the center 2 times at this rate if he fires 100 arr

bagirrra123 [75]

40 because if you multiply 2 by 100 it is 200 then divide that by 5 and you get 40

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3 years ago

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Donna has a $300 loan through the bank she is charged a simple rate The total interest she paid on the loan was $63 As a percent

Black_prince [1.1K]

Answer:

21%

Step-by-step explanation:

($63*100%) / $300 = 21%

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2 years ago

The length of each side of an equilateral triangle is increased by 20%, resulting in triangle ABC. If the length of each side of

kompoz [17]

Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

$A=\frac{\sqrt{3} }{4} a^{2}$

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

$A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}$

$A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}$

Triangle DEF is 20% smaller than the original, which means its side is:

a₂ = 0.8a

So, area is

$A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}$

$A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}$

Now, comparing areas:

$\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )$

$\frac{A_{1}}{A_{2}} =$ 2.25

The area of ΔABC is 2.25x greater than the area of ΔDEF.

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3 years ago

Point A is located at (−214,14). Point B is located at (234,14). What is the distance between point A and point B?

Sunny_sXe [5.5K]

Answer:

10, 14

Step-by-step explanation:

take the x values and plug into mid point formula and then divide by 2

so... (-214 + 234) divided by 2 = 10

do the same for the y values

so ... (14 + 14) divided by 2 = 14

so ... 10,14

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2 years ago

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