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svlad2 [7]
2 years ago
14

What is measure of angle R?

Mathematics
1 answer:
Aleks [24]2 years ago
4 0
The given triangle is a right triangle.
The tangent of an angle of right triangle is obtained by dividing the opposite side of the angle with the adjacent side of the angle.
The opposite side of angle R is 5 cm and the adjacent side of angle R is 12 cm.

tan R = 5 / 12 = 0.4167
R = arctan (0.4167) = 22.6 degrees.
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The slope of the line below is -5. Which of the following is the point slope form of the line (2,-7)
Dominik [7]

Equation of the line in point slope form is y + 7 = -5(x - 2)

Step-by-step explanation:

  • Step 1: Given slope of the line is -5 and passes through the point (x1, y1) = (2,-7). Equation in point slope form is y - y1 = m(x - x1)

⇒ y - (-7) = -5(x - 2)

⇒ y + 7 = -5(x - 2)

7 0
3 years ago
(08.01, 8.02 MC) An expression is shown below: 18x3y − 9x2y − 72xy3 + 36y3 Part A: Rewrite the expression so the GCF is factored
vitfil [10]

Answer:

9y(2x - 1)(x - 2y)(x + 2y)

Step-by-step explanation:

Given

18x³y - 9x²y - 72xy³ + 36y³ ← factor out 9y from each term

= 9y(2x³ - x² - 8xy² + 4y²)

Factor the first/second and third/fourth term in the parenthesis

= 9y( x²(2x - 1) - 4y²(2x - 1)) ← factor out (2x - 1) from each term

= 9y(2x - 1)(x² - 4y²)

x² - 4y² is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), thus

x² - 4y²

= x² - (2y)² = (x - 2y)(x + 2y), hence

18x³y - 9x²y + 72xy³ + 36y³

= 9y(2x - 1)(x - 2y)(x + 2y) ← in factored form

7 0
3 years ago
What is the value of a in the equation a = 2 + 3a + 10?
xxTIMURxx [149]

Answer:

a= -6

Step-by-step explanation:

Given

a=2+3a+10

In order to find the value of a, we have to isolate a on a single side of the equation

So,

subtracting 3a from both sides

a-3a = 2+10+3a-3a

=>a-3a=12

=> -2a = 12

Dividing both sides by -2

=> -2a/-2 = 12/-2

=> a = -6

The value of a in the given equation is -6 ..

3 0
3 years ago
Which of the following is true for this graph? <br><br> Will give brainliest to correct answer.
Contact [7]

The answer is A. Slope is rise/run. According to the graph, you can trace out and see that it rises 1 and goes to the right 4 times. This means that it has a positive slope of 1/4. And the line crosses the y intercept at y = 3

So answer choice A is correct.

7 0
3 years ago
A football player lost 10 yards when he was tackled. <br><br> a<br> 10<br> b<br> -10
Ganezh [65]
The key word “lost” indicates that the football player went back 10 yards. The correct answer is B. -10! :)
3 0
2 years ago
Read 2 more answers
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