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2 years ago

Solve for x and y then find the measurement of each angle

Mathematics

1 answer:

nevsk [136]2 years ago

3 0

Answer:

x = 10

y = 40

Step-by-step explanation:

DE is a straight line so the sum of angles DBA and ABE is equal to 180

13x - 18 + 5x + 18 = 180 add like terms

18x = 180 divide both sides by 18

x = 10

Same rule applies when calculating value of y

3y - 52 + 2y + 32 = 180 add like terms

5y - 20 = 180 add 20 to both sides

5y = 200 divide both sides by 5

y = 40

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What are the coefficients for the binomial expansion of (a + b)^3?

sashaice [31]

Answer:

Required coefficient :coefficient of 1st, 2nd, 3rd and 4th term are 1, 3,3,1 respectively.

Explanation:

Formula for binomial expansion is $(a+b)^n=^nC_0\cdot a^n\cdot b^0+^nC_1\cdota^(n-1)\cdot b^1+------b^n$

We will substitute the values a=a, b=b and n=3 in the formula for binomial expansion we will get

$^3C_0\cdot a^3\cdot b^0+^3C_1\cdot a^2\cdot b^1+^3C_2\cdot a^1\cdot b^2+^3C_3\cdot a^0\cdot b^3$

After simplification of the terms we will get

$a^3+3\cdot a^2\cdot b+3\cdot a\cdot b^2+b^3$

Since, $^nC_r=\frac{n!}{(r!)(n-r)!}$

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2 years ago

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What is the area of the parallelogram?<br> 4cm 5cm 9cm

hammer [34]

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Step-by-step explanation:

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2 years ago

Does anyone have any Idea how to solve this?

Mariulka [41]

Answer:

x = 12

Step-by-step explanation:

Remark

These two angles are corresponding angles and as such, they are equal.

Equation

8x+ 36 = 5x + 72

Solution

Subtract 5x from both sides

8x - 5x + 36 = 5x - 5x + 72 Combine like terms.

3x + 36 = 72 Subtract 36 from both sides

3x + 36 - 36 = 72 - 36 Collect like terms

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x = 12 Answer

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3 years ago

Diving simply the following: 3 power 12÷3 power 7

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${3}^{12} \div {3}^{7} =$

${3}^{12} \times {3}^{ - 7} =$

${3}^{12 - 7} = {3}^{5}$

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3 years ago

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a triangle has a perimeter of 10x+2 . two sides have lengths of 5x and 2x+9 what is the length of the 3rd side

stiks02 [169]

Since all the sides add up to 10x+2, that means that 10x-2-<side1>-<side2>=<side3>. Plugging it in, we have 10x-2-5x-(2x+9)=side3, and 5x-2-(2x+9)=side3, then expanding it to 5x-2-2x-9=3x-11=side3

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3 years ago

Solve for x and y then find the measurement of each angle ​

Solve for x and y then find the measurement of each angle