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77julia77 [94]
2 years ago
7

∠A and ​ ∠B ​ are vertical angles with m∠A=x and m∠B=4x−30 . What is m∠A ?

Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
3 0
Okay so this is just step by step hope this helps you.

4x-30=180 
180-30
4x=150
150/4
37.5 
x=37.5
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The probability that both the chosen students are sophomores is 6/20 or 3/10 simplified.
the expresión that represents the probability that both students have chosen are sophomore is (6c1) (5c1) /(20c2) 

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2 years ago
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A helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. Angle ABC
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Please consider the attached graph.

We have been given that a helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. The measure of angle ABC is 150°. We are asked to find the area of triangle ABC.

We will use trigonometric area formula to solve our given problem.

A=\frac{1}{2}a\cdot c\cdot\text{sin}(b), where angle b is angle between sides a and c.

For our given triangle a=5,c=8 and measure of angle b is 150 degrees.

A=\frac{1}{2}(5)\cdot (8)\cdot\text{sin}(150^{\circ})

A=5\cdot 4\cdot(0.5)

A=10

Therefore, the area of the triangle ABC is 10 square kilo-meters and option 'c' is the correct choice.

6 0
2 years ago
Sylvia invested $500 in an account compounded annually with an interest rate of 8%. Manuel invested $600 in an account with a co
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8 0
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Which graph represents viable values for y = 2x, where x is the number of pounds of rice scooped and purchased from a bulk bin a
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Answer:  Most Viable: On a coordinate plane, a straight line with a positive slope begins at point (0, 0), and ends at point (2.5, 5).  

Also possible, but only if someone scoops exact amounts (maybe pre-packaged for people who don't want to do their own scooping.): On a coordinate plane, blue diamonds appear at points (0, 0), (1, 2), (2, 4).

Step-by-step explanation:

The line beginning at (0,0) ending at (2.5, 5)  represents all the prices for any amount that the customer scoops.  for example, $5 for 2 1/2 pounds or $1 for 1/2 pound or  $2 for 1 pound would all be represented in the graphed line.

The graphs with negative values don't make sense. You can't scoop negative pounds!

<em>Again, good descriptions but difficult to sort out. Are you able to hit [enter] or [return] between options, or attach a screenshot?</em>

6 0
2 years ago
The cost of coffee is determined by the type of coffee beans that are mixed together. The cost of a local mix of Arabica and Rob
Andreyy89

Answer:

If a mixture contains 1000 pounds of Arabica beans, there should be <u>250 pounds of Robusta beans</u> in the mixture.

Step-by-step explanation:

700A+1,200R=1,000,000

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700000+1,200R=1,000,000 - Then, subtract 700,000 from both sides.

1,200R=300,000 - Finally, divide by 1,200 on both sides of the equation.

R=250  - This is your value for R, or the Robusta beans.

<u>250 pounds of Robusta beans</u>

Hope this helps!

7 0
2 years ago
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