If the base angles of a triangle are congruent, use the Law of Sines to show the triangle is isosceles.

Answer:

2 2/5

Step-by-step explanation:

2/5 x 6 = 12/5 = 2 2/5

Hope that helps!

Part (a)

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

Work Shown:

Let's say we have

To find the volume of the block, we multiply the length width and height.

So,

volume = (length)*(width)*(height)

V = L*W*H

V = LW*(x+3) .... replace H with (x+3)

V = LW*x + LW*3 .... distribute

V = Lx*(W) + 3L*(W)

V = Lx(x+4) + 3L(x+4) .... replace W with x+4

V = Lx^2 + 4Lx + 3Lx + 12L .... distribute

V = Lx^2 + 7Lx + 12L

V = x^2*(L) + 7x*(L) + 12*(L)

V = x^2*(x+5) + 7x*(x+5) + 12*(x+5) .... replace L with x+5

V = x^3 + 5x^2 + 7x^2 + 35x + 12x + 60 .... distribute

V = x^3 + 12x^2 + 47x + 60

x^3 + 12x^2 + 47x + 60 is the polynomial in standard form that represents the volume of the block.

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

Part (b)

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

Work Shown:

We can plug x = 3 into the polynomial we found

V = x^3 + 12x^2 + 47x + 60

V = (3)^3 + 12(3)^2 + 47(3) + 60

V = 27 + 12(9) + 47(3) + 60

V = 27 + 108 + 141 + 60

V = 336

Or we could find the volume like this

V = L*W*H

V = (x+5)*(x+4)*(x+3)

V = (3+5)*(3+4)*(3+3)

V = (8)*(7)*(6)

V = 336

Either way, we get the same volume of 336 cubic feet.

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Parallel lines and Transvell.

We here are going to use the concept of Corresponding angles, co- interior angles and linear pair also Adjacent angles.

hence, we get as,

1.) x = 60° , y = 60°.....(vertically opposite angles)

2.) x = 120° , y = 120°

3.) x = 105° , y = 75°

4.) x = 140° and y = 40°

All are above done.

Answer:

9 & 12

Step-by-step explanation:

For the first box you multiply 2x3 which would give you 6 and then you would add 3 and that would give you 9.

For the second box you would multiply 2x4 which would give you 8 and then you would add 4 and that would give you the final pruduct of 12.

Answer:

50

Step-by-step explanation:

the step

100% * 10 =10 as 100% = 1

then mulitply 10 *5 = 50

Answer:

-1

Step-by-step explanation:

First input = 4

Then we subtract 7 = 4 - 7 = -3

After that we divide 3 = - 3 ÷ 3 = -1

Hence, the output is -1 (Ans)

Answer:

x=4

Other stuff:

Don't  if it is incorrect or if it was the answer. the image was blurry.

Answer: hi, i can’t see the photo

Step-by-step explanation:

Answer:

Step-by-step explanation:

width is 255/15=17

perimeter = 17*2+15*2=64

EZ

Answer:

-6x+14

Step-by-step explanation:

Simplemente debes

multiplicar

Answer:

la verdD no c

Step-by-step explanation:

pero tu pon lo q creas nadie es perfecto

Answer:

Step-by-step explanation:

umm like 2.8  i think

Answer:

use a calculator

Step-by-step explanation:

its not that hard

Answer:

50th term

Step-by-step explanation:

Second term, a + d = 3

Tenth term, a + 9d = -13

a + d = 3 (1)

a + 9d = -13 (2)

Subtract (1) from (2) to eliminate a

9d - d = -13 - 3

8d = -16

d = -16/8

d = -2

Substitute d = -2 into (1)

a + d = 3 (1)

a + (-2) = 3

a - 2 = 3

a = 3 + 2

a = 5

Find the term of the sequence that has value -93.

nth term = a + (n -1)d

-93 = 5 + (n - 1) -2

-93 = 5 + (-2n + 2)

-93 = 5 - 2n + 2

-93 = -2n + 7

-93 - 7 = -2n

-100 = -2n

n = -100/-2

n = 50

50th term = -93

Answer: first answer choice

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

6!

Step-by-step explanation:

chord x chord = chord x chord

(5) (n+8) = (7) (n+4)

i just started plugging in numbers

(5) (6+8) = (7) (6+4)

5 x 14 = 7 x 10

70=70

Answer:  You can use the identity THE PICTURE THAT I PUT THERE

The sign is negative because the angle is in the 3rd quadrant.  This corresponds to ...  a. -(4√17)/17

value of sin ( theta ) = -4 (square root of ) 17 / 17

Real functions which relate to an angle of a right angled triangle to ratios of two side length.

Given

tan (theta) = 4`

sin(theta) = tan (theta ) / (1 + tan ^ theta)^(1/2)

sin(theta) = 4/(1+(4)^2)^(1/2)

                = 4/ (17)^ (1/2)

                multiplying  and dividing by 17 ^ (1/2), we get

                =  -4 (17) ^ (1/2) / 17 ( negative since angle is in third quadrant and tan is negative in that quadrant )

option a) -4 (square root of ) 17 / 17

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Answer:

The sale price was $244.9.

Step-by-step explanation:

With the information provided, you can calculate the sale price by finding the 21% of the sale price and then, subtracting that amount from the sale price:

$310*21%=$65.1

$310-$65.1=$244.9

According to this, the answer is that the sale price was $244.9.

Answer:

choice 2:    reflection. flipped over y axis

Step-by-step explanation:

Answer:

It will take Meryl 15.09 months to pay off the balance.

Step-by-step explanation:

This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or the cost of the new baseball equipment = $2000

P = Monthly payment = $150

r = Monthly interest rate = annual percentage rate (APR) / 12 = 19% / 12 = 0.19 / 12 = 0.0158333333333333

n = number of months it will take Meryl to pay off the balance = ?

Substitute the values into equation (1) and solve for n, we have:

2000 = 150 * ((1 - (1 / (1 + 0.0158333333333333))^n) / 0.0158333333333333)

2000 / 150 = (1 - (1 / 1.0158333333333333)^n) / 0.0158333333333333

13.3333333333333 = (1 - 0.984413453650536^n) / 0.0158333333333333

13.3333333333333 * 0.0158333333333333 = 1 - 0.984413453650536^n

0.21111111111111 = 1 - 0.984413453650536^n

0.984413453650536^n = 1 - 0.21111111111111

0.984413453650536^n = 0.78888888888889

loglinearize both sides, we have:

nlog0.984413453650536 = log0.78888888888889

n = log0.78888888888889 / log0.984413453650536

n = -0.102984160720249 / -0.00682245957075587

n = 15.0948729929724

Rounding to 2 decimal places, we have:

n = 15.09

Therefore, it will take Meryl 15.09 months to pay off the balance.

It is asking for a convex nonagon, not a convex polygon. So in this case we are looking for a shape with 9 straight lines and 9 angles. Which means we can cross A out.

Now we need to look at which nonagon is a convex nonagon which means that we are looking for the shape having only interior angles measuring less than 180°. So this means that B and D can be crossed out.

Thus, the answer is C.

P.S. If you find my answer helpful, please mark me brainiest!

Answer:

81

Step-by-step explanation:

$62.65-$7-$3=$52.65

Distance->52.65÷0.65=81

Answer:

1. A and C

2. C

3. B and E

4. B and C

Step-by-step explanation:

I just took the test 100%

Step-by-step explanation:

First you divide 529 and 23. You can divide 5w9 by 23 in a fraction like this 529/23 on to Desmos scientific calculator or just 529÷23 on a calculator. If it is a decimal, round it up if the tenth, hundredth, or thousandth is 5, 6, 7, 8, 9 or round down if the number is 4, 3, 2, and 1. The answer to 529÷23 is 23. And if you estimate it, it'll be 20. The next part may be a bit confusing but if you estimate 23, you'll get 25.

Then you estimate 529 and 23, you'll get 530 and 20. And if you divide them, you'll get 26.5. And if you estimate that, you'll get 27. So that means is 2 or 7 off from the estimated from the equation 529÷23. So that means the reasonable answer is probably 25 or 27.

Tell me if I'm right or not, and I'm sorry if I'm wrong because I don't know what answer I explained in the two paragraphs I wrote is right or wrong.

Answers:

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

Explanation:

I'm assuming you mean to say "scale factor of s = 1/3" since the green triangle is smaller than the red triangle.

Let's start at the point (4,2). This is the center of dilation. This fixed point does not move or change as you apply any dilation (as long as you keep this as the center of course). Every other point will move. For instance, the point (10,14) moves to (6,6) after applying the dilation.

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

The x coordinate of the center point (4,2) is x = 4.

The x coordinate of the point (10,14) is x = 10.

Going from (4,2) to (10,14) will have us move a horizontal distance of 10-4 = 6 units.

Take 1/3 of this horizontal distance and we get (1/3)*6 = 2. This means that if we started at the center point (4,2) and move 2 units to the right, we will have the x coordinate to be x = 4+2 = 6, which matches up with the x coordinate of the point (6,6)

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

We'll do the same sort of thing with the y coordinates

The point (4,2) has the y coordinate y = 2

The point (10,14) has the y coordinate y = 14

The vertical distance between those points is 14-2 = 12 units

One third of this is (1/3)*12 = 4

If we started at (4,2) and moved up 4 units, then the y coordinate goes from y = 2 to y = 2+4 = 6. This also matches (6,6)

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

Hopefully by now you have a sense of how this all works. Let's use these tricks to find the location of point A.

The horizontal distance from (4,2) to (8,4) is 8-4 = 4 units. This triples to 4*3 = 12 units. We triple here because we're going in reverse of the process described in the previous two sections. If (8,4) and A swapped places, then we would take one third instead.

We'll use that 12 to count out 12 horizontal spaces from (4,2) to get to (16,2). I added 12 to the x coordinate of (4,2).

Repeat the process for the y values. The vertical distance from (4,2) to (8,4) is 2 units, which triples to 6. Add 6 onto the y coordinate of (16,2) and we arrive at (16, 8) which is the location of point A.

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

Now let's find the location of point C'

The horizontal distance from (-2,11) to (4,2) is 6 units because |-2-4| = 6. Multiply this by 1/3 and we get (1/3)*6 = 2

To get to the location point C', we need to start at (4,2) and move to the left 2 units. That means (4,2) will move to (2,2) as a temporary location.

We apply the same idea for the y coordinates. The vertical distance from (4,2) to (-2,11) is 9 units. This leads to (1/3)*9 = 3 units being the vertical distance from (4,2) to the location of C'. We'll add 3 to the y coordinate of (2,2) to arrive at (2,5) which is the location of C'.

Answer:

2.4 or  [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

In the divisor (the second fraction) we flip the numerator and the denominator. This is known as the reciprocal and basically it means the reverse of the fraction. When we find the reciprocal, we also have to change the division sign to a multiplication sign.

Once you've flipped the second fraction and changed the symbol from divide to multiply, we can multiply the numerators together and the denominators together and we have our solution:

[tex]\frac{12}{5}[/tex]

Answer:

<2 <4 <5

Step-by-step explanation:

When two lines are parallel and crossed by a transversal, the opposite interior angles are congruent.

Answer:

Step-by-step explanation:

A^2+B^C^2 ////////A^2=10, and B^2=X^2, and C^2=15

10^2 + X^2 =15^2

100 + X^2 = 225(15^2 = 225)

-100 -100

= square root x= square root (125)

your answer will be 125

The value of the missing side of this right triangle is 11.18 units and the number that belongs in the green box is 125.

Pythagoras theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of the square of other two legs of right angle triangle.

In the given image,

Using the Pythagoras theorem, the value of x can be found out as,

[tex]x^2+10^2=15^2\\x^2=15^2-10^2\\x^2=225-100\\x^2=125\\x=\sqrt{125}\\x=11.18[/tex]

Thus, the value of the missing side of this right triangle is 11.18 units and the number that belongs in the green box is 125.

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