Which of the following are alternate interior angles? Select all that apply.

Answer:

A. {x / x ≠ -2, 3}

Step-by-step explanation:

In the graph, we can find the vertical asymptotes of the given graph is at x = -2 and x = 3.

You can see the vertical line red dotted line in the graph. That is called vertical asymptotes.

The vertical asymptotes cannot be the domain of the functions.

All other integers are domain except x = -2 and x = 3.

Therefore, answer is A. {x / x ≠ -2, 3}

x = 32, y = 11.31, z = 33.94

Step-by-step explanation:

Step 1: Let the triangle be ΔABC with B as the right angle. Let the hypotenuse be intersected by the altitude drawn from B at D. So there are 3 triangles, ΔABC, ΔADB and ΔBDC.

Step 2: To find x, y and z, use Pythagoras theorem where square of hypotenuse is equal to sum of squares of the other two sides of the right triangle.

Step 3: Make equations based on the theorem for all 3 triangles.

In ΔABC, (4+x)² = 12² + z²

⇒ 16 + 8x + x² = 144 + z²

⇒ x² + 8x - z² = 128 --------- (1)

In ΔADB, 12² = 4² + y²

⇒ 144 = 16 + y²

⇒ y² = 128 ------- (2)

In ΔBDC, z² = x² + y²

⇒ z² = 128 + x² ------ (3)

Substituting (3) in (1) ⇒ x² + 8x - (128 + x²) = 128

⇒ x² + 8x - 128 - x² = 128

⇒ 8x = 256

⇒ x = 32

From (3), z² = 128 + 32² = 128 + 1024 = 1152

⇒ z = 33.94

From (2), y² = 128

⇒ y = 11.31

Answer:

Step-by-step explanation:

x=-5

Answer:

It would be A) -5

Step-by-step explanation:

So it could be any number if it’s the x value. So it can’t be C or D

if it passes through (-5,4), then the x would have to be -5

therefore it is A

Answer:

1/14

Step-by-step explanation:

2/7 to 4 means 2/7 to 4/1

This gives

2/7

4/1

rearranging, we have;

2/7 * 1/4

2 * 1

7 * 4

= 2/28

to reduce to the simplest form, we'll divide the numerator and denominator by 2 ( the HCF of both)

1/14

To write the ratio 2/7 to 4 as a fraction in simplest form, multiply both the numerator and denominator of 2/7 by 4. Simplify the resulting fraction by dividing both the numerator and denominator by their common factor, which is 4. The simplest form of the ratio is 2/7.

To write the ratio 2/7 to 4 as a fraction in simplest form, we need to multiply both the numerator and denominator of 2/7 by 4. This gives us (2 * 4) / (7 * 4) = 8/28. Since both 8 and 28 have a common factor of 4, we can simplify the fraction further.

Dividing both the numerator and denominator by 4, we get 8/28 = 2/7.

Therefore, the ratio 2/7 to 4 as a fraction in simplest form is 2/7.

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Answer:

$1275

Step-by-step explanation:

Answer:

6-8x

Step-by-step explanation:

-2+3x+8+(-11x)

-2+3x+8-11x

-2+8+3x-11x

6+3x-11x

6-8x

Answer:

Step-by-step explanation: your unknown would be BABY IAN GOT TIME TO ANSWER YO QUESTION?!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

x=2 and y=−2

Step-by-step explanation:

I will solve your system by substitution.

−8x−8y=0;−8x+2y=−20

Step: Solve−8x−8y=0for x:

−8x−8y+8y=0+8y(Add 8y to both sides)

−8x=8y

−8x

−8

=

8y

−8

(Divide both sides by -8)

x=−y

Step: Substitute−yforxin−8x+2y=−20:

−8x+2y=−20

−8(−y)+2y=−20

10y=−20(Simplify both sides of the equation)

10y

10

=

−20

10

(Divide both sides by 10)

y=−2

Step: Substitute−2foryinx=−y:

x=−y

x=−(−2)

x=2(Simplify both sides of the equation)

Dysgraphia learning disability . Dysgraphia is a neurological disease in which a person struggles to express their ideas in writing form appropriate to their age and mental capacity .

Children who have dysgraphia typically have confusing, uneven handwriting that varies in slant, form, upper- and lower-case letters, as well as cursive and print styles. They also have a tendency to copy or write things slowly.

Dysgraphia is a neurological disease in which a person struggles to express their ideas in writing form appropriate to their age and mental capacity even after receiving proper instruction and schooling. Various signs of dysgraphia might appear at various ages. It is regarded as a learning disability.

The disorder's origin is uncertain, however in adulthood, parietal lobe injury is frequently a contributing factor. Treatment for motor abnormalities to help control writing movements may be part of dysgraphia treatment, which varies. Other therapies could deal with memory loss or other neurological issues.

To learn more about Dysgraphia refer to:

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Answer:

5.5.5.5

= 5^4

=625

Explanation:

5 to the power of 4 is equal to 625

Redefined format 5.5.5.5 as 5 * 5 * 5 * 5, converted to exponential notation as 5^4. The base is 5, exponent is 4, showing multiplication of the base 4 times.

The number 5.5.5.5 that you've provided seems to have a format error considering the extra dots you've used. If by any chance you meant 5 * 5 * 5 * 5, it in exponential notation is 54. '5' is the base and '4' is the exponent, the latter representing the number of times the base is multiplied by itself. In this case 5 is multiplied by itself 4 times.

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Answer:

y = 3x

Step-by-step explanation:

The exact equation for the climb would be y = (x-3)^2 + 9, however, a rough line that represents the climb is y = 3x.

Find the slope between (0, 0) and (3, 9) and we get m = 3. Plug it into y-int form and you get the line.

Answer:

y = 3x

I did this test last week and its correct.

Step-by-step explanation:

There is only one unique triangle that can be drawn with a 35° angle and a 45° angle, as the third angle is determined to be 100° to make the sum 180°.

To determine how many different triangles can be constructed with a 35° angle and a 45° angle, we can use the fact that the sum of angles in a triangle is always 180°. Adding the given angles, we get 35° + 45° = 80°. Subtracting this from 180° gives us the third angle, which is 180° - 80° = 100°. Since the sum of the angles is 180° and all angles are determined, there is only one unique triangle that can be drawn with these angle measures

Answer:

No

Step-by-step explanation:

in order for a slope to be perpendicularit needs to me the opposite recipricol

so to be perpendicular to 3/2 it would be -2/3

The cost per can of Diet Coke is cheaper at Wal-Mart than Kroger. Wal-Mart sells a can for approximately $0.287, while Kroger sells a can for approximately $0.3325. Therefore, Wal-Mart is the best buy.

To determine the best buy between Wal-Mart and Kroger, we need to calculate the price per can of Diet Coke for each store.

For Wal-Mart, the case contains 24 cans for $6.88. So, we divide the total cost by the number of cans: $6.88 ÷ 24 = $0.287 per can

For Kroger, the pack contains 12 cans for $3.99. So, again we divide the total cost by the number of cans: $3.99 ÷ 12 = $0.3325 per can

Comparing the two prices, $0.287 per can from Wal-Mart is cheaper than $0.3325 per can from Kroger. Therefore, buying the case of Diet Coke from Wal-Mart is the best buy.

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Wal-Mart offers a better buy for Diet Coke compared to Kroger, with a price of $0.287 per can versus Kroger's $0.3325 per can.

Wal-Mart offers the better buy since the price per can of Diet Coke is cheaper at Wal-Mart ($0.287) compared to Kroger ($0.3325).

Answer:

2 and 1/4

Step-by-step explanation:

Value of x is 25°

Step-by-step explanation:

⇒ (2x + 45°) + (4x - 15°) = 180°

⇒ 6x + 30° = 180°

⇒ 6x = 150°

⇒ x = 25°

Step-by-step explanation:

Adjacent angles of a parallelogram are Supplementary.

[tex] \therefore \: (2x + 45 \degree) + (4x - 15 \degree) = 180 \degree \\ \\ \therefore \: 6x + 30 \degree = 180 \degree \\ \\ \therefore \: 6x = 180 \degree - 30 \degree \\ \\ \therefore \: 6x = 150 \degree \\ \\ \therefore \: x = \frac{150 \degree }{6} \\ \\ \huge \red{ \boxed{\therefore \: x = 25 \degree }}[/tex]

Answer:

x=2/15

Step-by-step explanation:

3x=2/5

/3 to both sides

3×/3=2/5/3

x=2/15

Answer:

The answer is 5,650

Step-by-step explanation:

The loan is 5,000 and the interest is 13%

First you have to get the percent to a decimal and then multiply it by the loan which in this case is 5,000

13/100 = 0.13

0.13 x 5000 = 5650

Answer:

8x+30°=110°

8x=80°

x=10°

Step-by-step explanation:

because the angles are vertical => they are equal

Final answer:

The number 13,809 in expanded form is expressed as 10,000 + 3,000 + 800 + 9, which corresponds to option 'D'.

Explanation:

To write the number 13,809 in expanded form, we break the number down into its place values and then write it as a sum of each digit multiplied by its place value. For the number 13,809 this would be:

(1 × 10,000) for the ten-thousands place,

(3 × 1,000) for the thousands place,

(8 × 100) for the hundreds place,

(0 × 10) for the tens place (which is actually 0 and usually omitted in expanded form), and

(9 × 1) for the ones place.

The expression that represents 13,809 in expanded form is therefore 10,000 + 3,000 + 800 + 9, which corresponds to option 'D'.

Answer:

Mikhail's age is 25 years old

Step-by-step explanation:

Let's make an equation: Say Mikhail is x, so Gabby would be 2*x=2x

If the sum of their ages equals 75, then x+2x=75, and x=2x=3x, so 3x=75.

75/3=25

Final answer:

Gabby's age is twice Mikhail's age, and the sum of their ages is 75. By setting up and solving a system of equations, we can determine that Mikhail's age is 25.

Explanation:

To solve this problem, we can set up a system of equations using the information given. Let's say Gabby's age is represented by 'G' and Mikhail's age is represented by 'M'. We know that G = 2M and the sum of their ages is 75, so we can write the equation G + M = 75. Now we have a system of equations:

G = 2M and G + M = 75.

To solve this system, we can substitute the value of G from the first equation into the second equation: 2M + M = 75. Combine like terms: 3M = 75. Divide both sides by 3: M = 25. So Mikhail's age is 25 years old.

Answer:

19.2 oz water

Step-by-step explanation:

32 oz times 60%

32

x .6

19.2

Answer:

-360

Step-by-step explanation:

1. Add 9 + 21 and subtract 9 - 21

2. That would be (30)(-12)

3. Then multiply 30 x -12

4. You get -360

Answer:

78.79°

Step-by-step explanation:

A fireman placed a ladder of length 36 feet against a building.

Now, if he placed the ladder 7 feet from the base of the building, then the angle formed between the ladder and the ground will be [tex]\theta[/tex] (Say).

Now, the ladder, the base ground and the building forms a right triangle and the ladder is the hypotenuse of the triangle and [tex]\theta[/tex] is the base angle.

So, [tex]\cos\theta = \frac{\textrm {Base length}}{\textrm {Ladder length}} = \frac{7}{36}[/tex]

⇒ [tex]\theta = \cos^{-1}(\frac{7}{36}) = 78.79^{\circ}[/tex] (Answer)

Answer:

[tex]x < 4[/tex]

Step-by-step explanation:

When the circle is open that means it is not equal to and the line is going to the left so it is less than

Answer: x<4

Step-by-step explanation:

Answer:

EVERYSINGLE ANGLE HAS 79 DEGREES

Step-by-step explanation:

Answer:3

Step-by-step explanation:

Divide 18 by 6

Answer:

3 miles

Step-by-step explanation:

If each lap is one mile, 18 times = 1/6 + 1/6 + ... + 1/6. This is equal to 18*1/6 by definition of multiplication, and 18*1/6 = 18 divided by 6 because fractions are just big division symbols. This gives 3 or 3 miles.