write the tangent ratios for angle p and angle q, reduce if needed

Answer:

[tex]x = \frac{ \sqrt{6} }{2} [/tex]

[tex]y = \frac{3 \sqrt{2} }{2} [/tex]

Step-by-step explanation:

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]

[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]

theta = 30°

hypotenuse = √6

opposite = x

adjacent = y

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \sin(30) = \frac{x}{ \sqrt{6} } [/tex]

[tex] \sin(30) \times \sqrt{6} = x[/tex]

[tex] \frac{ \sqrt{6} }{2} = x[/tex]

[tex]x = \frac{ \sqrt{6} }{2} [/tex]

[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]

[tex] \cos(30) = \frac{y}{ \sqrt{6} } [/tex]

[tex] \cos(30) \times \sqrt{6} = y[/tex]

[tex] \frac{3 \sqrt{2} }{2} = y[/tex]

[tex]y = \frac{3 \sqrt{2} }{2} [/tex]

Answer: 3y is the coefficient.

Step-by-step explanation: A coefficient is numerical or constant quantity placed before and multiplying the variable in an algebraic expression. Or, to put it simpler, a coefficient is a number with an variable next to it.

Answer:

add all the sides up or 1.8 X 4 because its gonna be a square

Answer:

Step-by-step explanation:

It would be 12.96

Answer: (5,3)

Step-by-step explanation:

Answer:

in a triangle there is only two sides that are the same length.

Answer:

Thus the answer is A. 10 cm, 6 cm, 4 cm

Step-by-step explanation:

Triangle Inequality Theorem

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

The first combination y=6 cm z=4 cm produces the condition:

6 - 4 < x < 10

2 < x < 10

The third side is x=10 cm and it does not satisfy the inequality.

The rest of the combinations produce true inequalities:

B. 1 < x < 15 and x=9 satisfies the conditions

C. 1 < x < 9 and x=8 satisfies the conditions

D. 6 < x < 14 and x=10 satisfies the conditions

Thus the answer is A. 10 cm, 6 cm, 4 cm

Answer:

One-fifth plus one-fifth plus one-fifth plus one-fifth

Step-by-step explanation:

1/5 + 1/5 + 1/5 + 1/5 = 4/5 = 4 x 1/5

Answer:

5 'v'

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

∠BAD = ∠DBC       (90-∠ABD)

∠C = ∠C

ΔABC similar to ΔBDC

AC/BC = BC/AC

x/14 = 14/4

x = 14*14/4 = 49

plzit explain question the get really don't I

Answer:

k = 2

Step-by-step explanation:

Based on the right triangle altitude theorem, thus:

4 = √(k*8)

Square both sides

4² = k*8

16 = 8k

Divide both sides by 8

16/8 = 8k/8

2 = k

k = 2

It's like a graph, you create a ratio using the x, and y or whichever numbers you're using.

9514 1404 393

Answer:

  A'(-6, 12), B'(12, -3), C'(-3, -6)

Step-by-step explanation:

When the center of dilation is not specified, it is presumed to be the origin (0, 0). When that is the case, dilation multiplies every coordinate value by the dilation factor. For example, the x-coordinate of A is -2. The dilation factor is 3, so the x-coordinate of A' is 3(-2) = -6, as shown in your figure.

The same applies to all of the coordinates. (We assume you know how to multiply by 3.)

On the graph, each point moves to 3 times the original distance from the origin, in accordance with the new coordinates. The result is shown in the attachment.

Answer:

C.

Step-by-step explanation:

took the test

Answer:

it takes him 7/2 thirds to do 12 to find his average speed

Step-by-step explanation:

Answer: 23 Yes

24. NO

25. Yes

26 yes

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

∛27=3

√9=3

3+3=6

Please give brainliest if this helped and thank me

Answer:

x = 2

Step-by-step explanation:

Parallel lines divides the transversals in proportion.

Therefore,

[tex] \frac{9}{4} = \frac{13.5}{x + 4} \\ \\ 9(x + 4) = 13.5 \times 4 \\ \\ 9(x + 4) = 54 \\ \\ x + 4 = \frac{54}{9} \\ \\ x + 4 = 6 \\ \\ x = 6 - 4 \\ \\ x = 2[/tex]

Answer:

The slope of the line is:

[tex] -\frac{5}{2} [/tex]

Step-by-step explanation:

Remember that:

[tex]slope = \frac{rise}{run} [/tex]

Answer:

-5/2

Step-by-step explanation:

Answer:

A)ones

Step-by-step explanation:

a)How many days are there in one week?It is measured in the ones.

A.ones

Answer:

The answer is

[tex]y = - 3x + 1[/tex]

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

[tex]y = mx + b[/tex]

❃Incase you also forgot, The is what the slope formula is ☟

[tex]m = \frac{y_2 - y_1 }{x_2 - x_1} [/tex]

➊ First: We are going to be solving for the slope.

[tex]m = \frac{ - 8 - 1}{3 - 0} = \frac{ - 9}{ \: \: \: 3} = - 3[/tex]

➋Second: We find the y-intercept.

[tex]y = mx + b \\ - 8 = - 3(3) + b \\ - 8 = - 9 + b \\ \frac{ + 9 = + 9 \: \: \: \: \: }{1 = b} [/tex]

➌Third: Plug in.

[tex]y = - 3x + 1[/tex]

Answer:

Step-by-step explanation:

1)  5

2)  63

????

Answer:

50

Step-by-step explanation:

Lmk if this was the right way to do it or not lol

Answer:

F.-2...........................................

Answer:

20

Step-by-step explanation:

4 * (2a − 1)

Let a=3

4 * (2*3 − 1)

Simplify inside the parentheses first

4 * (6 − 1)

4 * (5)

20

Answer:

A = 31.68°

B = 109.45°

C = 38.92°

Step-by-step explanation:

Law of cosine: cosA = (b²+c²-a²) / 2bc

a = x = 10        b = 18        c = 12

cosA = (18² + 12² - 10²) / 2*18*12 = 368/432 = 0.851

A = 31.68

cosB = (10² + 12² - 18²) / 2*10*12 = -80/240 = -1/3 = -0.333

B = 109.45

cosC = (10² + 18² - 12²) / 2*10*18 = 280/360 = 0.778

C = 38.92

check: A+B+C = 31.68 + 109.45 + 38.92 =180.05 ≈ 80°

Wish this help!!

Well, if we use the Associative Property, we can switch around the positions of the 11, which is out of the parentheses. So, what we do is we put 11 and 3 into parentheses and r out of the parentheses, which makes:

r + (11 + 3)

So, now we solve the parentheses:

r + (14)

And finally, remove the parentheses. So, therefore, the answer is r + 14.

Answer:

y = (7/9)x

Step-by-step explanation:

The equation of a straight line is given as y = mx + b, where y and x are variables, m is the rate of change = change in y / change in x, while b is the y intercept (value of y when x = 0).

When no pint is used, there is no frozen yoghurt. But from 9 pints, 7 large servings of frozen yogurt is made. Let x represent the number of pints and the y represent the number of servings.

Hence, using y = mx + b, we get b = 0, because at 0 pint there is no servings. The equation be comes y = mx

m = change in y / change in x = 7 servings / 9 pints

m = 7/9

The equation is:

y = (7/9)x

Answer:

∠A = 20°

Step-by-step explanation:

Given:

Line AB equal to line AC

So, we can say that;

∠B = ∠C

So

∠B = ∠C = 80°

Using angle sum rule

∠A + ∠B + ∠C = 180°

∠A + 80° + 80° = 180°

∠A = 20°

Answer:

4.75 h

Step-by-step explanation: