Suppose ΔDEF has an exterior angle at vertex D. The measure of the exterior angle is (8x−2)º, m∠E=(3x−8)°, and m∠F=(4x+13)°. What is the measure of the exterior angle at vertex D?
A. 7°
B. 13°
C. 41°
D. 54°

Answer:

Step-by-step explanation:

The decimal point will help you find your way here. Just to the right of the decimal is the tenths place. 0.4 is the number four tenths.

Next, farther to the right is the hundredths place-- 0.04 is the number four hundredths.

Next over is the thousandths place-- 0.004 is the number four thousandths. And finally, the next over is the ten thousandths place...like this, 0.0004 is the number four ten thousandths

So, 1) 12.00535 has a one in the tens place, a two in the ones place, zeros in the tenths and also the hundredths places, fives in the thousandths place and also the hundred thousandths place, AND, what you're looking for-- a 3 in the ten thousandths place.

1) 3

2) 4

3) 5

4) 6

5) 7

6) 8

7) 9

For ten thousandths place, you're looking at the fourth spot on the right side of the decimal.

Answer:

C. [tex] \frac{ {m}^{2} - m - 2}{ {m}^{2} - 1} [/tex]

Explanation:

[tex] \frac{ {m}^{2} - m - 2}{ {m}^{2} - 1} \\ = \frac{ {m}^{2} - 2m + m - 2 }{ {(m)}^{2} - {(1)}^{2} } \\ = \frac{ m(m - 2) + 1(m - 2)}{(m - 1)(m + 1)} \\ = \frac{(m + 1)(m - 2)}{(m - 1)(m +1) } \\ = \frac{(m - 2)}{(m - 1)} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

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

Explanation:

Refer to the table below.

The first step is to find the midpoint of each interval.

To do that, we add up the endpoints and divide by 2. The midpoint of the interval from 2 to 6 is 4 because (2+6)/2 = 8/2 = 4. Repeat these steps for the other intervals to find that the remaining midpoints are: 8, 12, 16, 20.

Overall, the midpoints from top to bottom are 4, 8, 12, 16, 20

Note how the midpoints are incrementing by 4 each time, which is the same distance between each successive left endpoint (and right endpoint endpoints as well).

Let's say m represents the set of midpoints which I'll form in the third column. Multiply the frequency column f by each corresponding midpoint m. The result fm forms the fourth column.

Add up everything in that fourth column to get 1140. We then divide that by the sum of the frequencies (100) to get 1140/100 = 11.4 which is the final answer. The average weight is 11.4 pounds.

Answer:

E

Step-by-step explanation:

Answer:

A. Solution

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Step-by-step explanation:

*Note:

A coordinate is a solution if both the left side and right side of the equation is equal.

Step 1: Define

Identify.

-6x + 6y = 9

(1/2, 2)

Step 2: Verify

Since 9 does indeed equal 9, the coordinate (1/2, 2) is a solution.

Answer:

  9, 9√2

Step-by-step explanation:

The ratios of side lengths in a 45°-45°-90° triangle are ...

  1 : 1 : √2

The other leg is the same as the first, and the hypotenuse is √2 times that.

The other sides are 9 and 9√2.

Answer:

A on the surface of the river

Step-by-step explanation:

100 persent correct

Answer:

To find the value of sin 450 degrees using the unit circle, represent 450° in the form (1 × 360°) + 90° [∵ 450°>360°] ∵ sine is a periodic function, sin 450° = sin 90°.

Answer:

1

Step-by-step explanation:

To find the value of sin 450 degrees using the unit circle, represent 450° in the form (1 × 360°) + 90° [∵ 450°>360°] ∵ sine is a periodic function, sin 450° = sin 90°.

Rotate ‘r’ anticlockwise to form a 90° or 450° angle with the positive x-axis.

The sin of 450 degrees equals the y-coordinate(1) of the point of intersection (0, 1) of unit circle and r.

Hence the value of sin 450° = y = 1

Answer:

5cm

Step-by-step explanation:

50mm ÷ 10 = 5cm

Answer:

417.63

Step-by-step explanation:

Answer:

An easy way to solve this problem is divide $23.25 by 3 or $54.25 by 7. Either way, you get $7.75. This number represents the amount of money he makes for 1 hour. So with that in mind, the correct equation is:

$7.75x = y

Step-by-step explanation:

Answer: y = 7.75x

Step-by-step explanation:

Find the difference of charges between 6 hours and 8 hours

62-46.5 = 15.5 for 2 hours

15.5/2 = 7.75/hr

62 = 7.75 x 8

Therefore there is no initial charge, and that the relationship is linear

so y = 7.75x

Answer:

D:60

Step-by-step explanation:

Considering that the trench is modeled by a rectangular prism, the volume that was removed is 1776 cubic feet.

The volume of a rectangular prism of length l, width w and height h is given by:

[tex]V = lwh[/tex]

In this problem, we want the measures in feet, and considering that 1 feet is 12 inches:

Then:

[tex]V = lwh = 102.5(5.33)(3.25) = 1776[/tex]

The volume that was removed is 1776 cubic feet.

To learn more about the volume of rectangular prisms, you can take a look at https://brainly.com/question/17223528

Answer:

Yes

Step-by-step explanation:

Answer:

Not a solution.

Step-by-step explanation:

[tex]-6x + 6y = - 9\\\rule{150}{0.5}\\-6(\frac{1}{2}) + 6(2) = -9\\\\-3 + 12 = -9\\\\9 =-9[/tex]

The final result is a contradiction. It is not a solution to the equation, and therefore, will not be on the line.

Answer:

5/1

Step-by-step explanation:

the y is 5units and the x is 1unit

Answer:

7/4

Step-by-step explanation:

Use rise over run to solve

4-(-3)         7

-------- =      -

6-2            4

Answer:

BC ≅ EF

Step-by-step explanation:

Since the triangles are congruent then corresponding sides are congruent

ABC ≅ DEF

The corresponding sides are BC and EF

Answer:

B. [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The whole beaker is 1. If you measure the beaker, you will notice you can fill up the beaker to the brim (whole, which is 1) if you use the current amount 4 times, and four times is [tex]\frac{1}{4}[/tex].

ΔPQR has:  PM is a median

So: MR = QM = 3 cm

ANSWER:  MR = 3 cm

Ok done. Thank to me :>

Answer:

1) a. Rs 440.

1) b. Rs 795.

2) a.Rs 145.

2) b. Rs 180.

Step-by-step explanation:

1) a.

Given,

Marked Price = Rs 480

Discount Amount = Rs 40

Selling Price = ?

Now,

Selling Price = Marked Price - Discount Amount

= Rs 480 - Rs 40 = Rs 440.

1) b.

Given,

Marked Price = Rs 870

Discount Amount = Rs 75

Selling Price = ?

Now,

Selling Price = Marked Price - Discount Amount

= Rs 870 - Rs 75 = Rs 795.

2) a.

Given,

Cost Price = Rs 120

Profit = 25

Selling Price = ?

Now,

Selling Price = Cost Price + Profit

= Rs 120 + Rs 25 = Rs 145.

2) b.

Given,

Selling Price = Rs 200

Profit = Rs 20

Cost Price = ?

Now,

Cost Price = Selling price - Profit

= Rs 200 - Rs 20 = Rs 180.

Answer:

15+20=35+15 And then add an additional plus 15 for each hour

Step-by-step explanation:

Answer:

841.53

Step-by-step explanation:

equation for annual intrest is

[tex]I*y^x=f[/tex]

where I is your initial amount, y is equal to [tex]1+(interest /100)[/tex]

and x is equal to the amount of years you're looking for, with f being the final balance

so for this questions, the equation is as follows

[tex]600*(1+7/100)^5=f\\600*1.07^5=f\\600*1.40255=f\\841.53=f\\[/tex]

Answer:

Step-by-step explanation:

The total number of parts is 1+3+5 = 9. The relevant fractions of the mix are ...

  1/9 = portland cement

  3/9 = 1/3 = sand

  5/9 = crushed stone

Since the total is 765 ft^3, the ingredients required are ...

  (1/9)(765 ft^3) = 85 ft^3 portland cement

  (1/3)(765 ft^3) = 255 f^3 sand

  (5/9)(765 ft^3) = 425 ft^3 crushed stone

Answer:

63 degrees

Step-by-step explanation:

The hint tells you that you can add the other 2 angles in the triangle to get the answer.

Answer:

2.03% of 0.045=0.0009135

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 0.045 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 0.045 is 100%, so we can write it down as 0.045=100%.

4. We know, that x is 2.03% of the output value, so we can write it down as x=2.03%.

5. Now we have two simple equations:

1) 0.045=100%

2) x=2.03%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

0.045/x=100%/2.03%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 2.03% of 0.045

0.045/x=100/2.03

(0.045/x)*x=(100/2.03)*x       - we multiply both sides of the equation by x

0.045=49.261083743842*x       - we divide both sides of the equation by (49.261083743842) to get x

0.045/49.261083743842=x

0.0009135=x

x=0.0009135

Answer:

0.09135

Step-by-step explanation:

when it says "of" a number, you simply multiply them

The circumference of a circle with diameter of 98 in. is about 308 in.

We know the diameter. Using the diameter, we can find the circumference.

Circumference = 2πr

Therefore, the circumference of a circle with diameter of 98 in. is about 308 in.

Hoped this helped.

[tex]BrainiacUser1357[/tex]