5. In figure 2.9, line AB || line CD and line PQ is transversal. Measure of one of the angles is given Hence find the measures of the following angles (1) LART (ii) ZCTO (iii) ZDTO (iv) ZPRB​

Answer:

$84.60

Step-by-step explanation:

$84.60 is what david will earn in 9 hours becuz 9.40 times 9 is 84 dollars and 60 cents

Answer:

180

Step-by-step explanation:

Let x be the original weight

x* 15% = 27

.15x = 27

Divide each side by .15

.15x/.15 = 27/.15

x =180

Answer:

180 pounds

Step-by-step explanation:

W=27/15%

W=180 pounds

Answer:

Step-by-step explanation:

y+1 =(3/4)x+9/4

y=(3/4)x+1/4

Answer:

3x - 4y + 5 = 0

Step-by-step explanation:

The equation of a line in general form is

Ax + By + C = 0 ( A, B, and C are integers )

Given

y + 1 = [tex]\frac{3}{4}[/tex] (x + 3) ← multiply through by 4 to clear the fraction

4y + 4 = 3(x + 3)

4y + 4 = 3x + 9 ( subtract 4y + 4 from both sides )

0 = 3x - 4y + 5 , that is

3x - 4y + 5 = 0 ← in general form

Answer:

4.44

Step-by-step explanation:

The tangent of B is the relation of the opposite cathetus to the lying cathetus

tg B= AC/CB= 40/9= 4.44

The value of the tangent of angle B is 4.4.

In trigonometry, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

In other words, it is the ratio of sine and cosine function of an acute angle such that the value of cosine function should not equal to zero.

Given that, a right triangle Δ ABC, the measure of ∠C = 90°, AC = 40, BA = 41, and CB = 9. We need to find the value of the tangent of ∠B,

So, here,

The opposite side = AC and the adjacent side = CB

So, tan B = AC / CB = 40/9 = 4.4

Hence, the value of the tangent of angle B is 4.4.

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Answer:

-19 = b

Step-by-step explanation:

76 = -4b

Divide each side by -4

76/-4 = 4-b/-4

-19 = b

Answer:

b = -19

Step-by-step explanation:

76 = -4b

shift -4 to the left hand side and when you shift -4 divides 76

76/-4 = b

-19 = b

Answer: 0

Step-by-step explanation:

In this equation 0/y would equal 0, no matter what y is. 0/y means that there's 0 items out of y items (ex: substitute y with 2, it would be 0/2). Beginning with 1*0 (one times zero) the answer there would be 0. Since we already know that 0/y equals 0, the rest of the equation would be 0 - 0 which would equal to 0. Hope this explanation helps :)

[tex]\\ \sf\longmapsto 0-\dfrac{0}{y}[/tex]

[tex]\\ \sf\longmapsto \dfrac{0-0}{y}[/tex]

[tex]\\ \sf\longmapsto \dfrac{0}{y}[/tex]

[tex]\\ \sf\longmapsto \infty[/tex]

[tex]\\ \sf\longmapsto 0[/tex]

Answer:

About 13 weeks

Step-by-step explanation:

Good morning,

Have a great day ahead

Step-by-step explanation:

Algebra is a topic that covers linear equations, system of equations, sequences, exponential functions, polynomials, quadratic, exponents, radicals, functions, and more. I'm going to give use algebraic formulas and not all the topics.

Like Terms Rule: If two terms that share the same variable are separated by a binary operation, we can combine them.

For example, look at

[tex]6 + 7x + 9x[/tex]

We can combine 7x and 9x.

[tex]7x + ( + 9x) = 16x[/tex]

Add the coeffceint and keep the variable.

16x+6

Solving Algebraic Equations:

Alot questions in Algebra asks you to isolate a variable. For example,

[tex] \frac{x}{2} + 6 = 9[/tex]

First step, is to get the x variable by itself. To do this subtract 6 by both sides. Why? Because Subtraction is a inverse operation off addition. Remeber the Golden Rule of Algebra,

WHAT WE DO TO ONE SIDE. WE DO TO THE OTHER.

[tex] \frac{x}{2 } = 3[/tex]

Now, we multiply both sides by 2 because multiplying is the inverse operation of division and vice versa.

[tex]x = 6[/tex]

If we plug this in, it is indeed true.

[tex] \frac{6}{2} + 6 =[/tex]

[tex]3 + 6 = 9[/tex]

Some other rules are

If we multiply a term by a one term, we only affect the term that is being multiplied, for example

[tex]2x \times 3[/tex]

2 and 3 are both real numbers so we just multiply 2 and 3. and put x behind the answer.

[tex]2 \times 3 = 6(x)[/tex]

[tex]2x \times 3 = 6x[/tex]

When we multiply 2 variables, we put the variable near each other. For example,

[tex]x \times y = xy[/tex]

When we add term, we add the coeffcient parts

[tex]y + y = 1y + 1y = 2y[/tex]

Know that

[tex]y = 1y[/tex]

When we multiply same term variables, we get

[tex]x \times x = {x}^{2} [/tex]

There is more formulas for Algebra. But these are the basicis.

Answer:

400 meters

0 meters if the puppy can jump really really far ha ha ....

P = 10000x - 100

T = 8000x

10000x - 100 = 8000x  

2000x =  100

x = 1/20 hr

60/20 = 3 minutes

Step-by-step explanation:

Answer:

Each of the 4 sectors have an area:

Find the area:

Outer perimeter of the frame:

Answer:

- sin(x) is the ratio of the opposite leg to the hypotenuse in a right triangle, while cos(x) is the ratio of the adjacent leg to the hypotenuse in a right triangle.

-The graph of y = sin(x) at x = 0 starts at the origin, and then increases, while the graph of y = cos(x) starts at a max, and then decreases.

Here's a 3rd: sin(x) is the cofunction of cos(x), which means that sin(x) = cos(90-x). This also shows that they are different.

Hi, I'm happy to help!

To solve this, we need to find the distance from the origin to the y coordinate value, x coordinate value, then use the Pythagorean Theorem.

The origin of a graph (center) has the coordinates (0,0), so this will be our other coordinates.

First, let's find the x coordinate distance change. We move from the x coordinate 0, to the x coordinate -8, so we move 8 x units.

Next, let's find the y coordinate distance change. We move from the y coordinate 0, to the y coordinate 4, so we move 4 y units.

Now that we have these two leg lengths, let's imagine this as a right triangle. Moving from the origin, we draw a line from (0,0), to (-8,0). Then, we draw a line from (-8,0) to (-8,4). Now, draw a direct line from (0,0), to (-8,4). We have the length of the first(8) and second(4) lines, and we need to find the third line length to find our answer. To do this, we use the Pythagorean Theorem, which states that a²+b²=c². This says that, in a right triangle, the square of the two shorter lengths equals the square of the longest length. The longest length is what we are solving for.

Let's say x distance is a, and y distance is b. Now, apply the values:

8²+4²=c²

64+16=c²

80=c²

Now, we need to find the value of c, so we need to find the square root of 80.

√80=c

8.9442...=c

Since the number goes on forever, we need to round it. For this example, let's round it to the nearest tenth, which would be 8.9.

To summarize the distance between the origin and the coordinates (-8,4), is about 8.9.

I hope this was helpful, keep learning! :D

Answer:

(3.5, - 3.5)

Step-by-step explanation:

Using the Midpoint theorem, we have

x=(9-2)/2=7/2=3.5

y=(-8+1)/2=-7/2=-3.5

Answer:

f⁻¹(-2) = 3 and f⁻¹(1) = 0.

Step-by-step explanation:

By the definition of inverse functions:

[tex]\displaystyle \text{If } f(a) = b\text{, then } f^{-1}(b) = a[/tex]

From the table, note that f(3) = -2.

Then by definition, f⁻¹(-2) = 3.

Likewise, f(0) = 1.

Then by definition, f⁻¹(1) = 0.

Answer:

6m

Step-by-step explanation:

The ratio of the length and the breadth of rectangle=2:1

Let length be 2x, then breadth = x

Now,

Length(l)=12 m

or,2x=12m

or,x=6m

x=breadth=6m

Answer:

64 cm^3

Step-by-step explanation:

Volume of a square pyramid is given by (side)^2*(height)/3. The volume of the pyramid in question is (8)^2*(3)/3=64 cm^3

Answer:

x = 5

Brainliest, please!

Step-by-step explanation:

90 + 39 + (7x + 16) = 180

7x + 145 = 180

7x = 180 - 145

7x = 35

x = 5

Answer:

x=5

Step-by-step explanation:

Sum of the angles in a triangle is 180.

7x +16 +39 +90= 180

7x + 125 = 180

7x = 180-145

7x=35

x=35/7

x=5

Answer:

20.66 cm^2

Step-by-step explanation:

area =1/2 AxB sine C

=1/2 x11x8 x sine 152

=11x4x0.46947156279

20.65674876258 cm^2

=20.6567cm^2

rounding it to the nearest hundredth we get,

20.66 cm^2

Answer:

answer of this question is 55.844

Step-by-step explanation:

may this answer is helpful for you

Answer:

76.50

Step-by-step explanation:

We are given the fact that you bought an object for 90 dollars, and in which you sold said object for a loss of 15%, we are then asked how much would that object be sold for.

To find the answer, we need to subtract the original amount by the percent loss, so :

90 - 15%

15% of 90 is 13.5, therefore :

90 - 13.5

76.5

Julio's normal hourly rate (r) is equal to $11.8 per hour.

Translating the word problem into an algebraic expression, we have;

[tex]30r[/tex] ......equation 1

[tex](35 - 30)[/tex] × [tex]1.4r[/tex] [tex]= 5[/tex] × [tex]1.4r[/tex]

[tex]5[/tex] × [tex]1.4r = 7r[/tex]  .....equation 2

Next, we would equate the expressions to the total amount of money earned by adding eqn 1 and eqn 2.

[tex]30r + 7r = 436.60\\\\37r = 436.60\\\\r = \frac{436.60}{37}[/tex]

Julio's normal hourly rate, r = $11.8 per hour.

Therefore, Julio's normal hourly rate (r) is equal to $11.8 per hour.

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Answer:

M<C = 20°

Step-by-step explanation:

Because they’re vertical angles, that means they’re equal to each other so:

m<C = m<D

x = -3x + 80

x + 3x = 80

4x = 80

x = 20

Since m<C equals x, that means m<C is 20°

9.4 × [tex]10^{2}[/tex]

1) Move the decimal point 2 times to left in the number so that number, 940 so it's between 1-10: 9.4 or 9.40

2) After we moved our decimal point to the left, the decimal count would be 12 and that we moved 2 places to the left

3) We know that the notation is a x [tex]10^{b}[/tex]

a=9.4 and 6=2

9.4 × [tex]10^{2}[/tex]=a x [tex]10^{b}[/tex]

I hope I've helped!

Answer:

9.4x10^8

Step-by-step explanation:

940 million looks like

940,000,000. in scientific notation you would move the decimal left 8 spaces

Answer:

Aroun 203 knots.

Step-by-step explanation:

we look at the x axis and find 937 kPa. Since it's in between 930 and 940 we find a estimate for it. we then move up until we reach the line that was graphed. we check what the y coordinate is, which is around the 203 mark

Answer:

Step-by-step explanation:

Using Pythagoreus Theorem

In the smaller rectangle

2²+4² = h²

20 = h²

h = √20

h = 2√5

Therefore two sides of the rectangle will 2√5

No using pythagoreus theorem in the bigger triangle

x² + (2√5)² = 9²

x² = 9² - (2√5)²

x² = 81 - 20

x = √61

x = 7.8102496759

When rounded off to nearest tenth the hundreth digit is in 0-5 range

x = 7.81

Please click thanks and mark brainliest if you like

Answer:

In the given triangle, AB=BC

Now, 2x+9=5x-12

=> 5x-2x=12+9

=> 3x=21

=> x=21/3

=> x=7

Therefore, the value of x is 7.

Answer:

10

Step-by-step explanation:

1.5+2.5+2+4=10 b/c the figure is the half of the biger lines

The perimeter of the quadrilateral EFGH is 10 units.

Perimeter is the total length of the boundary of a closed shape. The perimeter of the polygon is measured as the sum of all the sides.

For the given situation,

The diagram shows the two quadrilaterals ABCD and EFGH.

The quadrilaterals are similar, ABCD ≅ EFGH. So their ratios are equal.

Here BC = 5.0, FG = 2.5

⇒ [tex]\frac{FG}{BC} =\frac{2.5}{5.0}[/tex]

⇒ [tex]\frac{1}{2}[/tex]

So the lengths of EFGH is half than that of ABCD.

Then the lengths of EFGH are 2.5, 2.0, 4.0, 1.5

Thus the perimeter of EFGH is

Perimeter = Sum of all sides

⇒ [tex]Perimeter = 2.5+2.0+4.0+1.5[/tex]

⇒ [tex]Perimeter = 10.0[/tex]

Hence we can conclude that the perimeter of the quadrilateral EFGH is 10 units.

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Answer:

√(3x)-2y+7

here √(3x) means, √3×√x

√x = x^(1/2)

now, now the exponent is 1/2, which means it's not a polynomial

Answer:

5 units

Step-by-step explanation:

draw a horizontal line from  the point (5, -1) to the y-axis: y=-1, it hits the y-axis at (0, -1). the distance between the two is 5 units