MATHEMATICS HIGH SCHOOL

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer 1

Answer:

Answer:

x = 46°

Step-by-step explanation:

64° + 70° + x = 180°

x = 180° - 64° - 70°

x = 46°

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What is the radian equivalent for 180 degrees ?

Answers

Answer:

π 3.142?

Step-by-step explanation:

2. What is the solution to the equation? If necessary, round your answer to the nearest tenth. A. 3x^2 = 48 B. x^2 – 2 = 12

Answers

The first one is 4, and the second one is 3.7

−2/3a+1/8−1/6a−3/4 PLEASE HELP

Answers

Answer:

Evaluate:

- $(5a)/(6)$ - $(5)/(8)$

Factor:

$(5(-4a-3)/(24)$

Step-by-step explanation:

Corey and his two friends, Alex and Carl, have a combined weight of 405 pounds. Corey weighs 127 pounds. Alex weighs at least 130 pounds, but no more than 145 pounds. Which inequality represents Carl's weight (x)?

Answers

133 ≤ x ≤ 148

We first take Corey's weight off of the total:
405-127 = 278

The other two boys together weigh 278.

We know that Alex weighs no more than 145 and no less than 130. Taking these two numbers off of the 278 will give us the constraints for Carl's weight:
278-145 = 133
278-130 = 148

This means that 133 ≤ x ≤ 148

What are the solutions of this quadratic equation? x^2+13=8x+37

Answers

The solutions of the quadratic equation x² + 13 = 8x + 37 are x = 4 + 2√10 and x = 4 - 2√10.

What is a quadratic equation?

The quadratic equation is defined as a function containing the highest power of a variable is two.

The given equation as:

x² - 8x + 13 = 37

Subtracting 37 from both sides, we get:

x² - 8x - 24 = 0

Now, we have the equation in standard form, so we can use the quadratic formula to find the solutions:

x = (-b ± √(b² - 4ac)) / 2a

Here, a = 1, b = -8, and c = -24.

Substitute these values into the quadratic formula, and we get:

x = (-(-8) ± √((-8)² - 4(1)(-24))) / 2(1)

x = (8 ± √(64 + 96)) / 2

x = (8 ± √160) / 2

x = (8 ± 4√10) / 2

Simplifying, we get:

x = 4 ± 2√10

Therefore, the solutions of the quadratic equation x² + 13 = 8x + 37 are x = 4 + 2√10 and x = 4 - 2√10.

Learn more about quadratic function here:

brainly.com/question/14083225

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Answer:

$x\in\left\{4-2√(10)\ ,\ \,4+2√(10)\,\right\}$

Step-by-step explanation:

$x^2+13=8x+37\n\nx^2-8x-24=0\n\na=1\,,\ \ b=-8\,,\ \ c=-24\n\nx_1=(-(-8)-√((-8)^2-4\cdot1\cdot(-24)))/(2\cdot1)=\frac{8-√(64+96)}2=\frac{8-√(160)}2 =\n\n=\frac{8-4√(10)}2=\frac{2(4-2√(10))}2=4-2√(10) \n\nx_2=(-(-8)-√((-8)^2-4\cdot1\cdot(-24)))/(2\cdot1)=\frac{8+4√(10)}2=4+2√(10)$

the Pentagon in Washington DC is immense in size with an outside wall 921 feet length what is the perimeter of the Pentagon

Answers

a foot equals 12 inches so multiply and it will give you 11,052 your welcome

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