identify the solution to the system of equations

Answer:

(4) (M∠1 + m∠2) = 180 and (m∠3 + m∠4 + m∠2) = 180

Step-by-step explanation:

The correct equation which represent Mya's claim must be true is,

⇒ m ∠1 + m ∠2 = 180°

And, m ∠3 + m ∠4 + m ∠2 = 180°

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degree.

Given that;

Mya claims that,

⇒ m ∠3 + m ∠4 = m ∠1

We know that;

Sum of all interior angles in triangle are 180 degree.

And, Sum of opposite angles of a triangle is equal to its exterior angle.

Hence, We get;

The correct equation which represent Mya's claim must be true is,

⇒ m ∠1 + m ∠2 = 180°

And, m ∠3 + m ∠4 + m ∠2 = 180°

Learn more about the triangle visit;

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Answer:

about how many it says

Step-by-step explanation:

Answer:

poda potta

Step-by-step explanation:

Answer:

12 cartons

Step-by-step explanation:

500 millilitres is equal to 0.5 liters, so with this you can divide 6 L by 0.5 L to find that you need 12 cartons in total

Answer:

Option 1 - add the 12 to both sides.

Step-by-step explanation:

If you meant solve for the variable, y, then you should:

Option 1 - add the 12 to both sides.

y - 12 = 23

Isolate the variable, y. Add 12 to both sides:

y - 12 (+12) = 23 (+12)

y = 23 + 12

Simplify:

y = 23 + 12

y = 35

~

Answer:

1

Step-by-step explanation:

Any number put to the 0 power is equal to 1.

Does that help?

Answer:

The P(yellow) = 11/15

Step-by-step explanation:

Here, we have;

P(not yellow) = 4/15

Mathematically, the addition of the probability of an event and its complement adds up to be 1

The complement we have here is P(yellow)

Thus, mathematically we have;

P(not yellow) + P(yellow) = 1

P(yellow) = 1 - P(not yellow)

From the question P(not yellow) = 4/15

Plugging this value, we have;

P(yellow) = 1 - 4/15 = 11/15

Answer:

C. 11/15

Step-by-step explanation:

hope this helped!

Answer:

5 1/24

Step-by-step explanation:

first you turn the mixed fraction to improper fraction

1 5/6=11/6

2 3/4= 11/4

11/6 times 11/4 = 121/24

121 divided by 24= 5 1/24

Answer is 5 1/24. You have to keep, change, flip

-Dhruva;)

Answer:

65 mph on level road

Step-by-step explanation:

Set b as average speed on the level road  and (b-20) = average speed on the winding road

Distance = speed * time  

Level Road distance + winding road dististance = 285 miles

Substituting b and (b-20), we have,

3b + 2(b-20) = 285

3b + 2b - 40 = 285

5b = 285 + 40

5b = 325

b= 325/5

b = 65 mph on level road

Answer: 52 mph

Step-by-step explanation:

Assume the following :

a = average speed traveled on level road

(a - 20) = average speed traveled on winding road

Recall:

Distance = speed × time

Total distance traveled :

Level road distance + winding road distance = 252 miles

3a + 3(a - 20) = 252

3a + 3a - 60 = 252

6a = 252 + 60

6a = 312

a = 52 mph on a level triad

Answer:A: V= (2)(4)(5)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

5rtb rsgfttbh

To solve the quadratic equation x² + 10x = 18 by completing the square, we rearrange the equation, complete the square, solve for x by taking the square root of both sides, and then isolate x. The two solutions are x = -5 + √43 and x = -5 - √43, which can be approximated if necessary.

To solve the equation x² + 10x = 18 by completing the square, we first need to move all terms to one side to get the equation in the form of ax² + bx + c = 0.

Subtracting 18 from both sides, we have x² + 10x - 18 = 0.

To complete the square, we take the coefficient of x, which is 10, divide it by 2 to get 5, and then square it to get 25. We add 25 to both sides of the equation and then subtract it right back to maintain the balance:

x² + 10x + 25 - 25 - 18 = 0

Now we group the perfect square trinomial and simplify:

(x + 5)² - 43 = 0

Next, we add 43 to both sides:

(x + 5)² = 43

Then we take the square root of both sides:

(x + 5) = √43

Subtract 5 from both sides to solve for x:

x = -5 ± √43

The solutions are x = -5 + √43 and x = -5 - √43.

Answer: 25/676

Step-by-step explanation:

Number of possible outcomes = 26

In other to win, one must draw must be either (A, E, I, O or U)

Therefore required drws to win = 5

First draw:

P(win) = Total required outcome / Total possible outcome

P(win) = 5/26

Second draw:

P(win) = Total required outcome / Total possible outcome

P(win) = 5/26

Therefore,

P(winning twice) = (5/26) × (5/26) = 25/676

The probability of winning the alphabet game twice in a row is 25/676.

To calculate the probability of winning the alphabet game twice in a row, we need to consider the probability of drawing a vowel each time and then multiply these probabilities together since the events are independent.

First, we identify there are 5 vowels (A, E, I, O, U) in the alphabet, and there are 26 total letters. So the probability of drawing a vowel in one turn is 5/26.

To win twice in a row, you would need to draw a vowel during your first turn and then replace the slip and draw a vowel again on your second turn. Since the slip is replaced after each turn, the probability for each turn remains the same (5/26).

Therefore, the probability of winning twice is:

(5/26) * (5/26) = (25/676)

So, the probability of winning the alphabet game twice in a row is 25/676.

Answer:

Even + Even = even

odd + odd = even

Odd + even = odd

even + odd = odd

Rule of thumb in addition.

Answer is B

Step-by-step explanation:

Final answer:

The sum of 12+12 is an even number because both addends are even numbers, and adding two even numbers always results in an even sum.

Explanation:

The question you're asking is about why the sum of 12+12 is an even number. To answer this, we need to understand a property of even numbers. An even number is any integer that can be divided by 2 without leaving a remainder. Adding two even numbers together will always result in another even number because the sum of two multiples of any number is a multiple of that number. Since 12 is an even number (it can be divided by 2 to get 6), adding it to itself (another even number) must result in an even sum.

It's not correct to say that any number plus 12 is even (Option A) because if you add 12 to an odd number, the result is odd. Option B is the closest to a correct explanation because both addends are equal and are even numbers. Saying any number greater than 12 is even (Option C) is incorrect because odd numbers also exist above 12. Finally, 12+12 is not equal to an odd number (Option D), so that choice is incorrect as well.

Answer:

I believe she will jog 18 blocks.

Step-by-step explanation:

Answer:

We have, volume of cone:

V = (1/3) x base area x height

  = (1/3) x pi x radius^2 x height

  = (1/3) x pi x 2^2 x 4

  = 16.76 (mi3)

Option D is correct

Hope this helps!

:)

Answer:

16.76

Step-by-step explanation:

Volume= πr^2  h/3

so its  π (2)^2  4/3

which equals 16.76 mi^3

Answer:

I will answer it in English:

a) We have te number N = 4752a

if we want to divide it by 3, then the addition of all the digits must be a multiple of 3.

Sum = 4 + 7 + 5 + 2 + a = 6 + 7 + 5 + a = 18 + a

and 18 is a multiple of 3, then we can have, a = 0, a = 3, a = 6, a= 9

b) A number is divisible by 5 if it ends on 5 or 0, so the possible values of a are 0 and 5.

c) we know that 15*3 = 45

then 15*3000= 45000

now we have:

4752a - 45000 = 252a

15*13 = 2520

then we have that a must be equal to zero, and:

15*(13 + 3000) =  47520

d) We want a number that when we divide it by 7, the surpass is 5.

a number is divisible by 7 if the difference between the number without the units and the double of the units is 0 or a multiple of 7.

in N = 4752x the unit is a, then we have:

D = 4752 - 2*x

now, let's choose a such we have a multiple of 7

we know that 5746 is a multiple of 7, so we can choose x= 3 and get:

D = 4752 - 2*3 =   5746  

So the number N = 47523 is a multiple of 7, and when we divide it by 7 we will have a surpass of 0.

Then when we divide N + 5 by 7, we will have a surpass of 7.

This is: N + 5 = 47528

This means that the actual value of a that we need is 8.

A right triangle. The Origin connects 4 blocks up ON the y axis, then connects 2 on the x axis.

Answer:

-3k+10

Step-by-step explanation:

We want to simplify the expression: [tex]\large{-3k-(-8)+2}[/tex]

Step 1:

Open the bracket taking note of the fact that the product of same sign is positive.

[tex]\large{-3k-(-8)+2}=-3k+8+2[/tex]

Step 2:

Simplify

[tex]-3k+8+2=-3k+10[/tex]

Therefore, an equivalent expression to -3k-(-8)+2 is -3k+10.

Answer:

12

Step-by-step explanation:

12x12=144

Answer:

[tex] \frac{35}{6} [/tex]

Step-by-step explanation:

[tex] \frac{2}{ - 5} \times \frac{3}{ - 7} \\ = \frac{6}{35} [/tex]

[tex] \frac{6}{35} = = > \frac{35}{6} [/tex]

Answer:

  x = 2√3 ≈ 3.464

Step-by-step explanation:

The side marked x is opposite the given 30° angle. The side marked 6 is adjacent to that angle. The trig function relating opposite and adjacent sides of a right triangle is ...

  Tan = Opposite/Adjacent

Filling in values, we have ...

  tan(30°) = x/6

Multiplying by 6 gives ...

  x = 6tan(30°) = 6(√3/3)

  x = 2√3 ≈ 3.464

Answer:

2/5

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

Answer:

43°.

Step-by-step explanation:

To find the measures of the other two angles, we will need to use various angle properties.

We can use the Supplementary Angles formula to find the adjacent angle to the angle that measures 123°.

180 - 123 = 57°. This is the measure of the first angle.

Now, to find the measure of the second angle, we know that these are vertical angles meaning they are congruent. Therefore, the measure of the angle is 80°.

To find 'x', we will simply need to subtract from 180:

180 - 80 - 57 = 43°.

Answer:

1) 38

2) 19

3) 1134

Step-by-step explanation:

Answer:

(2x+5)(7x^2+5)

Answer:     To approximate a number to the nearest tenth you have to look at the hundredths digit. If it is 5 or more you have to add 1 to the tenths digit, else if it is lower than 5 you leave the tenths digit unchanged.

Step-by-step explanation:

Answer:

34.3

Step-by-step explanation:

i used my brain

Answer:

In a rectangular prism, all six surfaces are rectangles as shown ... to length X width, ( l⋅w , the surface area of the sides can be calculated by ... Total surface Area = A=2(l+w)h+2lw=2(lh+wh+lw). If we double all three dimensions we get: ... Doubling the dimensions makes the surface area 4 times the original ...

1 answer

Step-by-step explanation:

Answer:

It increases by 4

Step-by-step explanation: