Rsm Ch. 3 71...........................

Answers

Answer 1

answer = -20

7(x+23)= x - 1

Related Questions

a ramp is 17 feet long, rises 8 feet above, and a covers a horizontal distance of 15 feet as showed in the figure. the ratio of to is equal to tan B

Answers

Using relations in a right triangle, it is found that:

The ratio of 8 to 15 is equals to tan B.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

Researching the problem on the internet, we have that:

The side opposite to angle B has a length of 8 feet.The side adjacent to angle B has a length of 15 feet.

Hence the tangent of B is:

tan(B) = 8/15.

Which means that:

The ratio of 8 to 15 is equals to tan B.

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Given: BC bisects ZABD
mZABD = 52°
Prove: mABC = 26°
A
D
B
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
Statements Reasons
mZABD = 52
mZABC+ m ZABC = 52
Statements
mZABC=mZCBD
m/ABC+mZC=52
Reasons
BC bisects ZABD
mZABC+mZCBD =
m ZABD

Answers

A bisector is a line that divides a given line or angle into two equal parts or measures. So that the required statements and reasons are given below:

STATEMENT REASONS

1. BC bisects <ABD Given

2. m<ABC = [tex]26^{o}[/tex] Bisection property of an angle

3. 2(m<ABC) = [tex]52^{o}[/tex] Sum of angles of a bisected angle

4. m<ABC = m<CBD Congruent parts of a bisected angle

5. <mABC + m<ABC = [tex]52^{o}[/tex] Sum of an individual angle of a bisected angle

6. m<ABC + m<CBD = [tex]52^{o}[/tex] Sum of angles of a bisected angle

7. m<ABC + m<CBD = m<ABD Sum of the angles of a bisected angle

The above statements and reasons are majorly centered on a bisector, the angles formed due to the bisection of a given angle, and the bisected angle.

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Answer:

1. BC bisects <ABD | Given

2.m<ABD=52 | Given

3.m<ABC = m<CBD | Definition of Bisector

4.m<ABC + m<CBD = m<ABD | Angle Addition Postulate

5.m<ABC + m<CBD =52 | Substitution Property

6.m<ABC + m<ABC =52 | Substitution Propery

7.2(m<ABC)=52 | Addition

8.m<ABC=26 | Division Property

Step-by-step explanation:

Edge 2022

Which is the slope-intercept equation of the line (-2,2) and (0,-4)?

Answers

Answer:

y=3x-4

Step-by-step explanation:

if another line is perpendicular to the line shown on the graph, what must be its slope

Answers

It's B

Slope is negative, the other must be positive due to m1 x m2 = - 1

m1 = -2/5

The diagram shows a gradient of -2/5. So, the

reciprocal of this valve to make - 1 is 5/2 (which is the - 2/5 flipped upside down, but positive)

-2/5 x 5/2 = - 10/10 (or - 1)

Thus, the perpendicular line to this has a gradient of 5/2.

Hope this helps!

6. (04.05 MC)
Which Inequality matches the graph? (1 point)

-2x+3y>7
2x+3y <7
-3x+2y>7
3x-2y <7

Answers

Answer: Choice D

3x - 2y < 7

=============================================================

Explanation:

The dashed boundary line goes through (1, -2) and (3, 1)

Find the slope of this line using the slope formula.

[tex](x_1,y_1) = (1,-2) \text{ and } (x_2,y_2) = (3,1)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{1 - (-2)}{3 - 1}\\\\m = \frac{1 + 2}{3 - 1}\\\\m = \frac{3}{2}\\\\[/tex]

The slope is 3/2 indicating we go up 3 and to the right 2.

--------------

Now use the point-slope template so we can determine the equation of the boundary line.

[tex]y - y_1 = m(x - x_1)\\\\y - (-2) = \frac{3}{2}(x - 1)\\\\y + 2 = \frac{3}{2}(x - 1)\\\\2(y+2) = 3(x-1) \ \ \text{ see note1 below}\\\\2y + 4 = 3x - 3\\\\2y - 3x = -3 - 4\\\\-3x+2y = -7\\\\3x-2y = 7 \ \ \text{ see note2 below}\\\\[/tex]

Note1: For this step, I multiplied both sides by 2 to clear out the fraction.

Note2: Multiply both sides by -1 so that the x coefficient is positive

--------------

The key thing to pull away from the previous section is that the boundary line equation is 3x - 2y = 7

The question from here is: "What do we replace the equal sign with?"

We need to pick either < or > since we have a dashed boundary. We won't have an "or equal to" portion.

Let's assume the inequality sign is <

3x - 2y = 7 turns into 3x - 2y < 7

To see if this works, we'll plug in the origin (0,0) to get...

3x - 2y < 7

3(0) - 2(0) < 7

0 < 7

The last inequality above is true, so 3x - 2y < 7 is also true when x = 0 and y = 0. It tells us that the origin is in the shaded region. This matches with what the graph shows.

Therefore, we have confirmed that 3x - 2y < 7 is indeed the case.

You could pick other test points. However the origin is the easiest to work with in my opinion. If the boundary went through the origin, then you'd have to pick another point like (0,1).

If you want to use technology to verify the answer, then Desmos and GeoGebra are two good options to go for. See the screenshots below.

Consider the line shown on the graph below. Enter the equation of the line in the form y = mx + b where m is the slope and b is the y-intercept. Enter the equation of the line in the form y=mx + b where m is the slope.

Answers

Hello!

We know the y-intercept (b) is 160. So let's find the slope!

Slope = rise / run

Slope = 120 - 160 / 1 - 0

Slope = -40/1 = -40

Forming the equation :

y = mx + b

y = -40x + 160

∴ The equation of the line in slope-intercept form is y = -40x + 160.

a square room has a area of 49 square feet the height of the room is 4 feet. what is the area of one wall

Answers

Answer:

28 ft^2

Step-by-step explanation:

The room is in the shape of a square. That means the base of the room (width and length) will have the same dimensions.

Length x Width = 49 ft^2

Length = Width

Length^2 = 49 ft^2

Length = 7 feet

Width is also 7 feet

The height of the room is 4 feet, plenty for non-humans. One wall area would be (7 ft)*(4 ft) = 28 ft^2

PLEASE HELP I AM REALLY CONFUSED

Answers

Answer:

Step-by-step explanation:

y = 3 (x-1)(x+ 7 ) this graph will intercept the x axis when y = 0

0 = 3 ( x-1)(x+7) so you can see this = 0 when x =1 or when x = -7

these are the x-axis intercepts

the vertex will be right in the middle between the intercepts found above ....... at x = -3

plug this value in to find the y coordinate 3 ( -3-1)(-3+7) = -48

vertex is -3, -48

the axis of symmetry is the value of the x coordinate of the vertex

x = - 3

direction of opening will be upward.....

see attached graph

Andrei wants to fill a glass tank with marbles, and then fill the remaining space with water.
represents the volume of water Andrei uses (in liters) if he uses marbles.
What is the glass tank's volume?

______________liters

Answers

Answer: the amount of liters that would fill the glass tank's volume can not be found

Step-by-step explanation:

there is not enough information to find out how many liters could fill the glass tanks volume

The required volume of glass tank = Vb +Vw liters

What is volume?

Volume, is defined as the ratio of the mass of object to its density.

Andrei wants to fill a glass tank with marbles, and then fill the remaining space with water.

Volume of pebbles = Vb
Volume of water = Vw
Volume of glass tank = Vg
Vg = Vb + Vw

Thus, the required volume of glass tank is = Vb + Vw liters

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4
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Answers

2/7 = 6x/4x+17

X= 1
The answer will have to be 1

the milligrams of aspirin in a persons body is given by the equation a=500x(3/4)t, where t is the number of hours since the patient took the medicine.
A. how much aspirin will bein the patients body after two hours?
B. in the equation, about what does the 500 tell us the situation
C. in the equation, what does the 3/4 tells us about the situation.

Answers

The amount of aspirin that would be in the patient's body is; 281.25.

What is the amount of aspirin in the patient's body after 2 hours?

A) The amount of aspirin in the patient's body after 2 hours can be evaluated as follows;

a = 500×(3/4)² = 4500/16 = 281.25.

B) The number 500 as used in the equation represents the amount of aspirin in the patient's body prior to taking the medicine, at time, t= 0.

C) The fraction 3/4 as used in the task content is the factor of change in aspirin content in the patient's body.

Answers

Answer:

32...................

Look at this table.
Hours of Monthly
Pay
1220
1420
1620
1820
2020
2220
2420
Training
10
20
30
40
50
60
70
According to the table, how many hours of training would you need to have a
monthly pay of $1500?

Answers

Using a linear function, it is found that you would need roughly 24 hours of training to have a monthly pay of $1500.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Looking at the table, the pay increases $200 each 10 hours of work, hence the slope is:

m = 200/10 = 20

Then:

y = 20x + b

When x = 10, y = 1220, hence:

y = 20x + b

1220 = 20(10) + b

b = 1020.

Then the pay for x hours of training is:

y = 20x + 1020.

For a pay of $1500, we have that:

y = 20x + 1020.

1500 = 20x + 1020.

20x = 480

x = 24

You would need roughly 24 hours of training to have a monthly pay of $1500.

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Match each formula on the left with an equivalent formula on the right.
W = X-Y
W = X - //
W = 4 - Y
W = XY
Y
X =W₁ + ½
X = Z(W + Y)
X = WZ+Y
X = // +Y

Answers

The formulas and the equivalent formulas are

W = X - Y X = W +Y

W = X/Z - Y X = Z(W + Y)

W = (X - Y)/Z X = WZ+Y

W = XY X =W/Y

How to match the formulas?

To do this, we simply make X the subject of the formula in expressions on the left.

So, we have:

W = X - Y

This gives

X = W + Y

W = X/Z - Y

This gives

X/Z = W + Y

X = Z(W + Y)

W = (X - Y)/Z

This gives

X - Y = WZ

X = WZ + Y

W = XY

This gives

X =W/Y

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Complete question

Match each formula on the left with an equivalent formula on the right.

W = X - Y X =W/Y

W = X/Z - Y X = Z(W + Y)

W = (X - Y)/Z X = WZ+Y

W = XY X = W +Y

Can someone pls help me?

Answers

Answer:

[tex] \frac{8}{24} [/tex]

Step-by-step explanation:

If Adam's family uses 8lb of apples to make pie. We know that 3 x 8 = 24, so it's probably approximately 3 out of 18.

A 2-column table with 7 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries 15, 0, 3, 0, negative 3, 0, 15.
Predict which statements are true about the intervals of the continuous function. Check all that apply.

f(x) > 0 over the interval (−, 3).
f(x) ≤ 0 over the interval [0, 2].
f(x) < 0 over the interval (−1, 1).
f(x) > 0 over the interval (–2, 0).
f(x) ≥ 0 over the interval [2, ).

Answers

The statements that are true about the intervals of the continuous function are Options 2, 4 and 5

f(x) ≤ 0 over the interval [0, 2].f(x) > 0 over the interval (–2, 0).f(x) ≥ 0 over the interval [2, ).

What is the statement about?

Looking at the values given, the intervals which satisfies the condition are known to be:

f(x)<=0 over the interval [0,2]

f(x)>0 over the interval (-2,0)

f(x)>=0 over the interval [2,∞)

Because:

Since the table with x and f(x) values, we have to examine analyze the table and see the each option that is in line with f(x) or not .

Examine the values of x that is from -3 to 3, the f(x) values are both positive and negative . hence f(x)>0 is false over the interval (-∞,3)

Looking at the the interval from 0 to 2, the f(x) values are 0 and negative. Hence, f(x)<=0 over the interval [0,2]

When you look over the interval (-1,1), the f(x) values are said to be both positive and negative and as such, f(x)<0 is false over the interval (-1,1)

When you look at the interval (-2,0) , the f(x) is positive and as such, f(x)>0 over the interval (-2,0)

Looking at the interval [2,∞), f(x) is positive and as such, f(x)>=0 over the interval [2,∞)

Therefore, Option 2, 4 and 5 are correct.

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help me i im not good in math

Answers

Number of shirts = dependent variable

Cost of the purchases = independent variable

The number of shirts is depending

(−7)^-2 and more letters cause needed

Answers

Answer:

1/49.

Step-by-step explanation:

(−7)^-2

= 1 /(- 7)^2

= 1/49.

What are the two binomial factors for x2 – 25? (x – 5)(x – 5) (x 5)(x 5) (x – 20)(x 5) (x – 5)(x 5)

Answers

Answer:

(x - 5)(x + 5)

Step-by-step explanation:

x² - 25 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

x² - 25

= x² - 5²

= (x - 5)(x + 5)

Answer:

Step-by-step explanation:

(x-5) +(x+5)

In Angle FGH, the measures of angles F, G, and
H, respectively, are in the ratio 4:4:10. Find
the measure of each angle.

Answers

Answer:

40 40 100°

Step-by-step explanation:

Is that TRIANGLE FGH?

the angles add to 180

180 / ( 4 + 4 + 10 ) = 10

then each angle is 4 x10 4 x 10 and 10 x10

Find the value of x:
X
4
10

Answers

Applying the definition of similar triangles, the value of x is determined as: 12.5.

What are Similar Triangles?

In a triangle like the one shown above, the line that intersects the two sides of the triangle divides the two sides of the triangle to form similar triangles. Thus, their corresponding sides are proportional to each other.

Therefore, we would have:

(x + 5) / 5 = (10 + 4) / 4

(x + 5) / 5 = 14/4

4(x + 5) = 5(14)

4x + 20 = 70

4x = 70 - 20

4x = 50

x = 50/4

x = 12.5

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Which ratio is equivalent to 4:5 ?

Answers

Answer:

Step-by-step explanation:

Maybe..

8/10

12/15

16/20

20/25

24/30

28/35

32/40

36/45

40/50

Any one of these is equal to the ratio of 4 over 5.

Answer:

No, the person who answered first is wrong

I'll give you the correct answer

Step-by-step explanation:

He the two equivalent ratios of 4 : 5 are 8 : 10 and 12 : 15.

thank you, this is the correct answer

hope that hepls

3. Segment RU is an angle bisector. m/QRU = 70°.
What is mzQRS?
Q
70°
□A 70°
B 140°
C 35°
OD 20°
A
U
S
PLS HELP ME OUT

Answers

Answer:

b - 140

Step-by-step explanation:

an angle bisector divides an angle in half

half of the angle is 70

the other half is 70

70 + 70 = 140

b is your answer

Answer: B. 140°

Step-by-step explanation:

Hi!

An angle bisector just cuts the angle in half.

Therefore, if one half is 70°, the other half is also 70°!

To find the measure of the angle just add them!

70° + 70° = ?

= 140°

So, your answer is B. 140°

Hope this helps and have a great day!

A student wants to sell 18 cookies for a fundraiser. She knows that she only has 3 days left to sell her cookies. Write an equation to find out how many cookies she must sell each day to reach her goal.

Answers

6
Explanation: 18 divided by 3 is 6

Answer:

6 cookies per day.

Step-by-step explanation:

if she is going to sell 18 cookies within 3 days, would divide that problem, (18 divided by 3) which will get you selling 6 cookies per day during that 3-day challenge.

triangle abc is equal to
triangle pqr, angle p=8X+4,
angle a=5x+16 , and angle
q=10x+2. find angle r
a. 36
b.not enough info
c. 42
d 102

Answers

Answer:

d. 102°

Step-by-step explanation:

We can use the relations ...

corresponding angles in congruent triangles are congruentthe sum of angles in a triangle is 180°

to write equations that let us find x and all of the angles in ∆PQR.

Corresponding angles

The congruence relation ∆ABC ≅ ∆PQR tells us that ∠P = ∠A. Using the given expressions for these angles, we have ...

∠P = ∠A

8x +4 = 5x +16

3x = 12 . . . . . . . . . subtract (5x+4)

x = 4 . . . . . . . . . divide by 3

Then the measure of angle P is ...

∠P = 8x +4 = 8(4) +4 = 36 . . . . . degrees

Other angles

Angle Q in ∆PQR is given as ...

∠Q = 10x +2 = 10(4) +2 = 42 . . . . . degrees

Then the measure of angle R needed to make the total of angles in ∆PQR be 180° is ...

∠R = 180° -36° -42° = 102°

Angle R is 102°.

In summary:

x = 4∠P = ∠A = 36°∠Q = ∠B = 42°∠R = ∠C = 102°

Name the ordered pair that would be a reflection of (9, 2) over the y axis

Answers

Answer:

(- 9, 2 )

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

(9, 2 ) → (- 9, 2 )

Translate into an algebraic expression:

How much 50% of sugar syrup can you make if you have x grams of sugar?

(Need Urgent Help)

Answers

Answer:

Que is talking about a syrup which contains 50% of sugar .

Que asked : amount of sugar syrup from X grams of sugar.

Explanation :

if a sugar syrup contains 50% of sugar , that means that the half of the solution contains sugar and half is solvent .

means , 2 × amount of sugar = solution (syrup)

now , we are given x grams of sugar

then , solution can be made with x grams of sugar = 2 × (X grams) = 2X gram of solution or sugar syrup.

Mark BRAINLIEST!

A boy walks 58 feet up a ramp having a 22.5 degree inclination. how high is he standing from the ground?

Answers

Boy is 22.5 feet high from the ground

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.

The given question can be solved by sin, as value of perpendicular is to be evaluated and height and angle is provided. Let height from the ground be x

sin(22.5°) = x / 58

x = 58sin22.5 = 58(.38258) = 22.5 feet high.

Thus the Boy is 22.5 feet high from the ground.

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35.149 = 30+5+0.1+ ____ +0.009
how to find the missing sum

Answers

Answer:

0.04

Step-by-step explanation:

30+5+0.1+0.009 is 35.109

35.149 - 35.109= 0.04

35.149 = 30+5+0.1+ ____ +0.009

= 30 + 5 + 0.1 + x + 0.009

= 35.109 + x

x is the unknown value, so what number add to the 35.109 gives 35.149? That's what we're after.

35.149 = 35.109 + x

- 35.109 both side

0.04 = 0 + x

Thus, x = 0.04

(35.109 - 35.109 cancles each other & we get x on its own because 0.04 - 0 gives you 0.04)

Hope this helps!

Sulin has some $2 and $5 notes. The value of the notes add up to $58. There are 15 more $2 notes than $5 notes. How many $2 notes does Sulin have?

Answers

Answer:

t is number of 2 dollars

f is number of 5 dollars

2t+5f=58

f+15=t

2(f+15)+5f=58

simplify

2f+30+5f=58

simplify

7f+30=58

subtract

7f=28

f=4

substitute

4+15=t

4 five dollars

19 2 dollars

Hope This Helps!!!

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