Find the values of the variables in the parallelogram. The diagram is not to scale.

Answer:

3x+13

Step-by-step explanation:

=9+(3x+4)

=9+3x+4

=3x+13

Answer:

6

Step-by-step explanation:

Answer:

4x²+4y²-20x+12y-2=0

4x²-20x+4y²+12y = 2

4(x²-5x) + 4(y²+3y) = 2

4(x²-5x+25/4) + 4(y²+3y+9/4) = 2 + 4*25/4 + 4*9/4

4(x-5/2)² + 4(y+3/2)² = 36

(x-5/2)² + (y+3/2)² = 9

Step-by-step explanation:

hope this helped :)

Answer:

y= -2/3x^2 + 5/3x + 1/6

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

∡AB + ∡BC + ∡CD = 180°

∡CD = ∡AE

∡AB + ∡BC + ∡AE = 180°

(8x + 6)° + (6x + 2)° + (7x + 4)° = 180°

8x + 6 + 6x + 2 + 7x + 4 = 180

21x + 12 = 180

21x = 180 - 12

21x = 168

x = 8

Step-by-step explanation:

Step-by-step explanation:

9) X=4, y=-2

10) 2x + 6

Answer:

4

Step-by-step explanation:

the y intercept is never with another variable, -1/3 would be the slope

Answer:

you either need to multiply or add im on that question

Step-by-step explanation:

Answer:

Step-by-step explanation:

Refer to attached picture

The small triangle on the top left has one angle 50° and the other two are same:

Sum of the angles in the triangle:

Answer:

no

Step-by-step explanation:

The absolute value is EXACTLY 29, so.

Answer:

-4.5

Step-by-step explanation:

M would be -4.5 because if you multiply -1.5 by 3 you get -4.5. Therefore the equation would be -4.5/3= -1.5 .

Hope this helps :))

Answer:

sin (330)

csc (60)

cos (390)

Step-by-step explanation:

Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions

Answer:

10

Step-by-step explanation:

2*5=10

Step-by-step explanation:

step 1. LCD of 1/2 and 3/5 is 10.

Answer: 2 2/3 miles

Step-by-step explanation:

From the question, we are informed that three runners in a relay race share the 8-mile distance equally.

The number of miles that each runner travel will be the total miles divided by number of runners. This will be:

= 8/3

= 2 2/3 miles

Answer:

(x, y) right-arrow (x minus 5, y minus 3)

Step-by-step explanation:

we know that

The translation of the pre-image STU to the image ST'U' is  3 units down and 5 units to the left

That means

3 units down -----> y-3

5 units to the left -----> x-5

therefore

The rule of the translation is

(x,y) -----> (x-5,y-3)

Answer:

length × width × height.

Step-by-step explanation:

Answer:

length × width × height

Step-by-step explanation:

That is the standard formula for a rectangular shape

Answer:

Expression for Perimeter:  6x + 6

x = 12 cm

Verify A = 360:

2(12) x (12+3) = 360

24 x 15 = 360

360 = 360

Step-by-step explanation:

Answer:

6.8 hours.

Step-by-step explanation:

200/4 = 50

340/50 = 6.8

Answer:

391.

Step-by-step explanation:

There is 60 minutes every hour, so you divide by 60. 68 / 60 = 1.1333333333.

Now, we have to find out how many minutes there are in 5 hours and 45 minutes. Since there is 60 minutes every hour, 6 x 5 + 45 = 300 + 45 = 345. 1.1333333333 x 345 = 390.9999999885, rounded = 391.

Answer: Choice B) Investment decreases by 3% each month

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

Explanation:

We won't use the value 2500 at all.

The base of the exponential is 0.97

Set this equal to 1+r and solve for r

1+r = 0.97

r = 0.97-1

r = -0.03

The negative r value indicates we have exponential decay, so the value of the investment decreases by 3% each month.

Let's say you had $100 to start off. This would mean the investment would be worth $97 after one month is up.

Step-by-step explanation:

go to rcboe.org sorry if it doesn't work

Answer:

The answer is below

Step-by-step explanation:

Triangles are polygons with three sides and three angles. Types of triangles are isosceles, equilateral, scalene and right angled triangles.  

Trigonometric identities are equations that uses trigonometric functions to show the relationship between the angles in a right angle triangle and the sides of the right angled triangle.

If θ be an acute angle in a right angled triangle, hyp. is the hypotenuse side of the angle, opp. is the opposite side to the angle and adj. is the adjacent side to the angle, then:

sinθ = opp. / hyp.v;  cosθ = adj. / hyp. ; tanθ = opp. / adj.

Answer:

1 13/15 yards

Step-by-step explanation:

2*3 = 6

6+ 2 = 8

8/3 * 5 = 40/15

4/5 * 3 = 12/15

40-12 = 28

28/15 = 1 13/15

Answer:

[tex]1 \frac{13}{15}[/tex]

Step-by-step explanation:

We have two fractions and are being asked to subtract them.

Since 2 2/3 and 4/5 don't have the same denominator, we must use the LCM expression, which means to find the lowest common multiple. So what is the lowest multiple of 3 and 5, this would be 15.

[tex]\frac{8*5}{3*5} - \frac{4*3}{5*3}[/tex]

[tex]\frac{40}{15} - \frac{12}{15}[/tex]

Now subtract :

[tex]\frac{28}{15}[/tex]

[tex]1\frac{13}{15}[/tex]

The y difference of the 2 lines are 6(you can just count these)

The x difference of the 2 lines are 8(again you can count this)

Now calculate distance using distance formula (the pythag theorem)

sqrt(6^2+8^2)=sqrt 100= 10

Therefore the distance of AC is 10.

Answer:

Step-by-step explanation:

[tex](32+2W)(16+2W)=924\\ \\ 4W^2+96W+512=924\\ \\ 4W^2+96W-412\\ \\ W^2+24W-103=0\\ \\ W=-24\frac{\sqrt{988}}{2}\\ \\ W\approx 3.72ft[/tex]

Answer:

Step-by-step explanation:

Here is an example:

[tex]3x^{2} +7=55[/tex]

-7 on both sides of the equation

[tex]3x^{2} =48[/tex]

divide by 3 on both sides

[tex]x^{2} =16[/tex]

square root the [tex]x^{2}[/tex] and 16

x=±4

Answer:

x = -2

Step-by-step explanation:

-3(x + 2) = 4 + 2x

= -3x + -6 = 4 + 2x  (Distribution: -3)

= -3x + -2x - 6 = 4  (Moving the variables to the left and change the signs)

=  -3x + -2x = 4 + 6 (Move consatnts to the right and change signs)

= -3x - 2x = + 6  --> (Collect like terms)

= -5x = 10 (Then add)

= (divide -5x = 10 by -5)

= x = 2