A mountain climber starts a climb at an elevation of 453 feet above sea level. At his first rest stop he has climbed 162 feet, and by his second rest stop he has climbed another 207 feet. It's getting late in the day, so the climber starts his way down. If the climber descends 285 feet, how much does he need to ascend or descend to return to the original starting point?

Answer:

x = 35°, Angle 1 = 145°, Angle 2 = 35°

Step-by-step explanation:

In a trapezoid, the angles on the same leg are supplementary, meaning they add up to 180°. That means Angle 2 plus Angle 1 equals 180°. Therefore:

[tex](4x+5)+x=180^{\circ}\\5x+5=180^{\circ}\\5x=175^{\circ}\\x=35^{\circ}[/tex]

Therefore, x = 35°, Angle 2 = 35°, and Angle 1 =

[tex]4x-5^{\circ}\\4(35^{\circ})+5^{\circ}\\140^{\circ}+5^{\circ}=145^{\circ}[/tex]

To ensure our answers make sense, we verify they equal 180°:

[tex]145^{\circ}+35^{\circ}=180^{\circ}[/tex]

Answe

x = 35°, Angle 1 = 145°, Angle 2 = 35°

Step-by-step explanation:

Step-by-step explanation:

In a trapezoid, the angles on the same leg are supplementary, meaning they add up to 180°. That means Angle 2 plus Angle 1 equals 180°. Therefore:

Therefore, x = 35°, Angle 2 = 35°, and Angle 1 =

To ensure our answers make sense, we verify they equal 180°:

Step-by-step explanation:

Check the above photos...

Answer:

-88

Step-by-step explanation:

-a² + 4ab - b²

Substitute the variables with the numbers given.

-2² + 4(2×-6) - -6²

-2² + 4(-12) - -6²

-4 + 4(-12) - 36

-4 + -48 - 36

-52 - 36 =

-88

(im starting 8th grade tommorow and im doing this cause im bored and i should practice xD)

Answer: 4 shirts x 3 pairs of pants x 4 ties = 4 x 3 x 4=48

so there are 48 possibilities (option 3)

Answer:

-26

Step-by-step explanation:

the answer is -26 hopefully this helps

Answer:

Step-by-step explanation:

I'm just going to go out on a limb here and assume that those are a set of poorly made parenthesis. This, then, would be your equation:

[tex]x+\frac{x}{7}+\frac{1}{11}(x+\frac{x}{7})=60[/tex]

The first thing to do is distribute through the parenthesis to get:

[tex]x+\frac{x}{7}+\frac{x}{11}+\frac{x}{77}=60[/tex]

Next is to get rid of the denominators by multiplying by the LCM of 77:

[tex]77(x+\frac{x}{7}+\frac{x}{11}+\frac{x}{77}=60)[/tex] which gives you:

77x + 11x + 7x + x = 4620 and

96x = 4620 so

[tex]x=\frac{385}{8}[/tex]

Answer:

yes

Step-by-step explanation:

yes

Answer:

$42

Step-by-step explanation:

12*3=36+6=42

Answer: Yes [tex]\angle FDE[/tex] is one possible angle name

Another name is [tex]\angle EDF[/tex]

When it comes to naming an angle this way, all we need to worry about is the vertex point. This is where the angle hinges (think of a door or a pair of scissors). In this case, the hinge or vertex point is at point D. The vertex is always the middle letter of any three-letter sequence. The order of the other two points does not matter.

This is why saying "angle FDE" is the same as "angle EDF".

Answer:

2

Step-by-step explanation:

The rate of change in function f(x) from x = a to x = b is (f(b) - f(a))/(b - a).

rate of change = (7 - 3)/(2 - 0) = 4/2 = 2

Answer:

rate of change = 2 unit rise per 1 unit run

Step-by-step explanation:

The rate of change of two points on a graph is represented by the slope of a line connecting the two points.

here we are given the coordinates of the two points, hence we can simply apply the slope formula for a line given two points (see attached)

for points (0,3) and (2,7)

x₁ = 0, y₁ = 3, x₂ = 2, y₂ = 7

substituting these into the formula

rate of change

= slope, m

= (y₂-y₁) / (x₂-x₁)

= (7 - 3) / (2 - 0)

= 4 / 2

= 2

Answer:

x=6

Step-by-step explanation:

A midpoint is the middle point of a line segment, therefore it is equal distances from both ends of the segment.

This means that PQ and QR have the same length. So all we have to do is set each value equal to each other, and then solve for X.

[tex]3x+14=7x-10\\3x+24=7x\\24-4x\\x=6[/tex]

Answer:

x=-0.4

Step-by-step explanation:

ok you have to visualize this line

P                         Q                           R

O---------------------O-----------------------O

        3x+14                    7x-10

so to make the equation of PR you would add PQ and QR together.

3x+14+7x-10

add your like terms

10x+4

solve for x

10x+4=0

subtract 4 from each side

10x=-4

divide both sides by 10

x=-2/5       fraction

x=-0.4       decimal

Get the two equations for the lines into slope-intercept form. ...

Set the two equations for y equal to each other.

Solve for x. ...

Use this x-coordinate and plug it into either of the original equations for the lines and solve for y.

Answer:

2n + 7q

Step-by-step explanation:

1). add together all of the numbers that have

the variable u (9u - 7u - 2u)

2). add together all of the numbers that have the variable n (-4n + 6n)

3). add together all of the numbers that have the variable q (6q + q)

4). put your answers to 1-3 together in a phrase and there's you're answer!

Answer: not sure if that is a b but i beleive it is so

bh+hr=25

move all terms to the left side and set equal to 0. then set each factor equal to zero.

h= [tex]\frac{25}{b+r}[/tex]

isolate the variable by dividing each side by factors that dont

contain the variable.

r=[tex]\frac{25}{h}-b[/tex]

x=[tex]\frac{r-h}{y}[/tex]

isolate the variable by dividing each side by factors that dont

contain the variable.

h=-xy+r

solve for r by simplifieng both sides of the equation, then isolating the variable.

r=xy+h

Answer:

1A. h = 25/(b + r)

1B. r = 25/h - b

2A. h = r - xy

2B. r = xy + h

Step-by-step explanation:

1. bh + hr = 25

A. h(b + r) = 25

h = 25/(b + r)

B. h(b + r) = 25

b + r = 25/h

r = 25/h - b

2. x = (r - h)/y

A. xy = r - h

h + xy = r

h = r - xy

B. xy = r - h

r = xy + h

Answer:

math

Step-by-step explanation:

Answer:

1) 5

2) 5.30..... etc

3) 4.65

4) 5

5) 5 this is the answer to all your questions

Answer:

The first, fourth, and fifth one.

Answer:

Step-by-step explanation:

x = -5

-5 < -4  and if x<-4 then  f(x) = - 2x - 8

so:

    f(-5) = - 2(-5) - 8 = 10 - 8 = 2

Answer:

[tex]3m-3[/tex]

Step-by-step explanation:

So we have the expression:

[tex]-(2m+3)+5m\\[/tex]

Distribute the negative:

[tex]=-2m-3+5m[/tex]

Combine like terms:

[tex]=3m-3[/tex]

And we're done!

Answer:

AC = 23

Step-by-step explanation:

Assuming A, B, and C are on a line with B in the middle...

We know that AB + BC = AC. Travelling from A to C is the same as travelling from A to B, then B to C, as B is on the way between A and C.

Knowing this, we can set up this equation and add the 2 numbers we know:

AC = AB + BC

AC = 11 + 12

AC = 23

Answer:

The domain of g(x) is -3 to infinity

Step-by-step explanation:

Given

[tex]g(x) = \sqrt{x + 3}[/tex]

Required

Determine the domain of g(x)

We start by expressing the content of the square root in the following form:

[tex]x + 3 \geq 0[/tex]

Subtract 3 from both sides

[tex]x + 3 -3 \geq 0 - 3[/tex]

[tex]x \geq 0 - 3[/tex]

[tex]x \geq - 3[/tex]

This can be expressed using interval notation as follows:

[tex]\{x: -3, infiniti\}[/tex]

Hence, the domain of g(x) is -3 to infinity

Answer:

All real values of x such that x ≥ −3

Step-by-step explanation:

Answer: [tex]b=13/8[/tex]

Cross multiply

[tex](13)*(1)=8*b\\13=8b[/tex]

Flip the equation

[tex]8b=13[/tex]

Divide both sides by 8

[tex]8b/8=13/8\\b=13/8[/tex]

Step-by-step explanation:

Hey there!

Here,

[tex] = - 6 + ( - 4) + 3 [/tex]

While working with them remember some rules;

Likewise in your question,

[tex] = - 6 - 4 + 3[/tex]

[tex] = - 10 + 3[/tex]

[tex] = - 7[/tex]

Hope it helps...

Answer:

11:07 Pacific Time

Step-by-step explanation:

it depends on your time zone :)

Answer:

p(x)=x2 - 3x + 8

p(4) =(4)2 - 3(4) + 8

= 16 - 12 + 8

= 4+8

= 12

p(-2)= (-2)2 - 3(-2) + 8

= 4+6+8

=18

Answer: k = 84

Step-by-step explanation:

0.12k = 10.08

k = 84                       Divide 0.12 to both sides

Answer:

k=84

Step-by-step explanation: