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don't forget the units squared, you have to add that!

The area is    6 units squared       

Don't let the fact that the triangle is upside down throw you off. Say X is where you drop a perpendicular from Q to PR. If we set PR as the base, and XQ as the height, after that it's straightforward. \(B \cdot H \cdot 1/2 = 4 \cdot 3 \cdot 1/2 = 6\) .

Hope this helps!

It's just a website commonly used for screenshots. It's safe, don't worry. Anyway, I'm afraid I'm not very good at these types of problems, so I can't help you.

Sorry! Someone like CPhill or someone who is much better than I am will come along and help.

What does this website lead to ?

No you are being silly 

We can find every angle in triangle PQR   [ using something known as the Law of Cosines ]

But....

Since we don't know what JL is......we cannot   find any of the  angles in triangle JKL

The center of the ellipse is ( 4, 1)

The major axis lies along x   and the minor axis lies along y

The equation of the ellipse  is

(x - 4)^2  / 16  + (y - 1)^2 / 1  = 1

c  =   sqrt (4^2 - 1)  =  sqrt (15)

And the distance between the foci = 2c  =  2sqrt (15)

I wondered about this one.....

If you multiply the value of x   by   5/3      you get    3 t^2 - 5/3 t + 5 /3

     now if you subtract 11/3

 you get     3 t^2 - 5/3t - 2

Soooooo.....    maybe ?    f(x) = 5/3 x - 11/3     ?????

tan (theta / 2)   =   tan (60/ 2)  =  tan (30)  =   1 /sqrt (3)  =  b / a

So

tan (60)  =  sqrt (3) / 1  =   a  / b

Note that y(3)  would mean that  we put 3 into y and evaluate

So......this would imply that

y(x)    means that we are putting  x into  y and evaluating.......so we have

5(3t^2 - t + 1)^2  - (5/3)(3t^2 - t + 1)    - 2  

I used Wolfram Alpha   to  get

45 t^4 - 30 t^3 + 30 t^2 - (25 t)/3 + 4/3

No, 2+2 is 4

Angles R, S and T sum to 180°

Therefore

2x + 5 + 4x + 10 + 2x - 11 =   180  simplify

8x + 4  = 180       subtract 4 from both sides

8x  =  176        divide by 8

x =  22

Angle S  =  Angle X

4(22) + 10   =  98   =  Angle X

But A can't be correct because  9(22) / 2  = 99°

And C can't be correct because  (22)/2 + 22  =  33°

And  

Angle T  = Angle Y

2(22) - 11  =  33°

So

D  must be correct because   (22)/2 + 22  =  33°

So  

Angle T = Angle Y

Volume of cube = volume of sphere

s x s x s = 4/3 pi r^3

s^3 = 4/3 r^3                   Is 2 *r (the diameter)      greater...or lesser than s?

s^3 = 10     s = 2.15 in

4/3 pi r^3 = 10    r = 1.33   Dia = 2.66 in    so the sphere is the taller.

right3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989

The number π is a mathematical constant. Originally defined as the ratio of a circle's circumference to its diameter, it now has various equivalent definitions and appears in many formulas in all areas of mathematics and physics. It is approximately equal to 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989 or 3.14

Geometric series     r = -2    a₁ = -8   n = 7

S₇ = a₁ (1-r^n) / (1-r)   = -344

If a^2 + b^2  >  c^2

The triangle is acute

If   a^2 + b^2  = c^2

The triangle is right

If a^2 + b^2 < c^2

The triangle is obtuse

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles

I would answer  D

Don't post questions more than once !    Please !  

D)One pair of corresponding sides has the same measure.

This would allow us to use   ASA   congruency

2a

He would need to know that angle JKL  = angle PQR

2b

He would need to know that JL  = 20

thx. now i can do all problems like this.