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allochka39001 [22]

4 years ago

11

Find the missing value 8 14 45 15

1 answer:

alekssr [168]4 years ago

6 0

Answer:

The correct option is B.

Step-by-step explanation:

From the given figure it is nices that the length of sides AB, BC and AC are 20, 22 and 35. The line AD is angle bisector.

Let the missing value be x.

The Triangle Angle Bisector Theorem states that the angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.

Since AD is angle bisector, therefore

$\frac{AB}{AC}=\frac{BD}{CD}$

$\frac{20}{35}=\frac{22-x}{x}$

$20x=35(22-x)$

$20x=770-35x$

Add 35x both sides.

$55x=770$

Divide both sides by 55.

$x=\frac{770}{55}$

$x=14$

Therefore, second option is correct.

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the graph of a line in the xy-plane has slope of 7 and contains the point(6,28). A second line passes through the points (3,7) a

Maslowich

Answer:

x = 3

Step-by-step explanation:

We require the equations of the 2 lines.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

The line has slope = 7, hence

y = 7x + c ← is the partial equation

To find c substitute (6, 28) into the partial equation

28 = 42 + c ⇒ c = 28 - 42 = - 14

y = 7x - 14 → (1)

Calculate the slope of the second line using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 7) and (x₂, y₂ ) = (- 1, - 13)

m = $\frac{-13-7}{- 1-3}$ = $\frac{-20}{-4}$ = 5, thus

y = 5x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 7), then

7 = 15 + c ⇒ c = 7 - 15 = - 8

y = 5x - 8 → (2)

Solving (1) and (2) by equating the right sides

7x - 14 = 5x - 8 ( subtract 5x from both sides )

2x - 14 = - 8 ( add 14 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

The x- coordinate of the point of intersection is x = 3

6 0

3 years ago

Given f(x) = x − 7 and g(x) = x2 . Find g(f(−1)).

ivann1987 [24]

Answer:

64

Step-by-step explanation:

$g(f(-1))$ can be found by first finding $f(-1)$ then taking that result and putting it into the function $g$ .

$f(-1)$ means we are going to take the expression $x-7$ and evaluate it for $x=-1$ :

$-1-7$

$-8$

So $f(-1)=-8$ .

So we have this so far:

$g(f(-1))=g(-8)=(-8)^2=64$ .

$g(-8)$ was found by replacing $x$ in $x^2$ with $-8$ .

8 0

3 years ago

The quotient of three times a number and 4 is at least -16.

dimaraw [331]

Answer:

3x4≥−16

3x≥−64

x≥−643

x≥−2113

The answer is x≥−2113

8 0

3 years ago

Help me please I’m stuck on this

natta225 [31]

Answer:

try and unstick yourself

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Find g(x), where g(x) is the reflection across the x-axis of f(x) = x?.

nignag [31]

Answer:

$g(x) = -x$

Step-by-step explanation:

The reflection of a function $f(x)$ along the $x - axis$ is given by $g(x) = -f(x)$ .

Here the given function is $f(x) = x$ . Therefore the reflection would be $g(x) = -x$ .

To find reflection draw the graph of it and think about how the graph of its mirror image would be. You would arrive at the reflection function.

6 0

3 years ago