What is the gcf of 6,7,5

Plz help!! Consider the given right triangle.

aalyn [17]

Answer:

b = 8

c = 16

Step-by-step explanation:

From the given right triangle,

a = $8\sqrt{3}$ , m(∠B) = 30°

By applying sine rule in the given triangle,

cos(B) = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

cos(B) = $\frac{BC}{AB}$

cos(30°) = $\frac{8\sqrt{3}}{c}$

$\frac{\sqrt{3} }{2}= \frac{8\sqrt{3} }{c}$

c = 16

Further we apply tangent rule,

tan(B) = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

tan(30°) = $\frac{b}{a}$

$\frac{1}{\sqrt{3}}=\frac{b}{8\sqrt{3} }$

b = 8

4 0

2 years ago

If ANQZ - ACBK, find BK. * O BK = 39 O BK = 16 O BK = 65 O BK = 27

patriot [66]

9514 1404 393

Answer:

(c) BK = 65

Step-by-step explanation:

Corresponding sides are proportional in similar triangles, so ...

ZT/ZQ = KF/KB

27/(2x +7) = 45/(4x+1)

27(4x+1) = 45(2x +7) . . . cross-multiply

3(4x +1) = 5(2x +7) . . . . divide by 9

12x +3 = 10x +35 . . . . . eliminate parentheses

2x = 32 . . . . . . . . . . . . . subtract 10x+3

x = 16 . . . . . divide by 2

Then the length of BK is ...

BK = 4x+1 = 4·16 +1

BK = 65

5 0

2 years ago

Solve x^2-8x-9=0 using completing the square (show the work)

Elden [556K]

Answer: x=9,-1

Step-by-step explanation:

First, we are gonna start out with finding two numbers that multiply to equal -9 and add up to equal -8

Those numbers would be -9 & 1

-9+1=-8

-9x1=-9

Now we have

(x-9)(x+1)

x-9=0 x+1=0

+9 +9 -1 -1

x=9 x=-1

3 0

2 years ago

Please help me asap ty ty :)

Zanzabum

Answer:

x-intercept = (-9,0)

y-intercept = (0,27)

Step-by-step explanation:

So first we will convert 9x - 3y = -81 into slope intercept form (y=mx+b).

Subtract 9x on both sides to get -3y = -9x -81. Next divide -3 on both sides to get y = 3x + 27.

Since b is the y-intercept, in y=mx+b and 27 is in the position of b, we can already tell that 27 is the y-intercept. So we will write it as (0,27) because coordinates are supposed to be written as (x,y).

Now in order to find the x-intercept, we will have to plug in 0 for y, in the original equation, so we can solve for x.

So we have: 9x -3(0) = -81

Since 3 × 0 = 0, we now have 9x - 0 = -81. So next we add 0 on both sides to get 9x = -81, and then we divide by 9 to get x = -9. So we will write this as (-9,0).

Hope this helps you :)

8 0

1 year ago

Using the method of completing the square, put each circle into the form

tatiyna

Answer:

Standard form: $(x-\frac{1}{2})^2 + (y-0)^2 = 15$