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nikdorinn [45]
3 years ago
7

Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
5 0

9514 1404 393

Answer:

  x = 14°

  y = 5°

Step-by-step explanation:

Angle COL is complementary to both 25° (∠AOC) and 5y (∠LOM). Then it must be true that ...

  5y = 25°

  y = 5° . . . . . . divide by 5

__

Similarly, angle MOB is complementary to angle LOM, so ...

  90° -25° = 3x +23°

  42° = 3x . . . . . subtract 23° and simplify

  14° = x . . . . . .  divide by 3

The values of x and y are ...

  • x = 14°
  • y = 5°
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What value of r makes –6r + 2(r + 2) – 5 = -20 true?
OlgaM077 [116]
Hello!

To find the answer we need to solve for r. First we undo the parentheses.

-6r+2r+4-5=-20

Now we combine like terms.

-4r-1=-20

We add one to both sides.

-4r=-19

Divide both sides by -4.

r=4.75

I hope this helps!
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3 years ago
X = 1/2at^2 <br><br> Solve for t. <br><br> 1.<br><br> 2.<br><br> 3.<br><br> 4.
blsea [12.9K]
Lets get started :)

We need to isolate t from x = \frac{1}{2}at²

Take 2 to the left-hand side { Do multiplication since you see division }
2x = at²

Take a to the left-hand side { Do division since you see multiplication }
\frac{2x}{a} = t² 

Take square root since t is to the power of 2
\sqrt{ \frac{2x}{a} } = t 
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3 years ago
What’s 7/10 Equivalent to put it in fraction
Alina [70]

Answer:

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Step-by-step explanation:

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4 0
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Clair collects seashells. At home, she has 15 shells. Every day she brings 3 back to the beach. After 5 days how many seashells
Igoryamba

The equation would be:

y = 3x + 15

1) Table: It is pretty easy to do so, just plug in 0, 1, 2, 3, etc. for x and solve for y

2) graph (find slope): slope would be 3 shells/day that has a y-intercept of 15

3) you already defined the variables

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3 years ago
Marissa is drawing coins from a bag that contains 5 pennies (yellow), 4 nickels (green), 5 dimes
Anna007 [38]

Answer:

\frac{4}{16}=\frac{1}{4}=0.25=25\%

Step-by-step explanation:

Total number of coins in the bag = 5 + 4 + 5 + 2 = 16 coins

Number of nickels in the bag = 4

We have to find the probability that Marissa draws a nickels from the bag.

Probability is defined as the ratio of Number of "Favorable Outcomes" to "Total number of possible outcomes"

In this case total number of possible outcomes is the total number of coins which is 16.

Favorable/Desires outcome is drawing a Nickle from the bag which are 4 in number. So, number of favorable outcomes is 4

Therefore, the probability that she will draw a nickel = \frac{4}{16}=\frac{1}{4}=0.25=25\%

7 0
3 years ago
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