Find the lengths of the diagonals of rectangle QRST, if QS=14x+10 and RT=11x+22.

Mathematics

1 answer:

ehidna [41]3 years ago

5 0

Answer:4

Step-by-step explanation:

diagonals of a rectangle are equal therefore QS=RT, 14x+10=11x+22, and solve for x to get 3x=12, so x equals 4

You might be interested in

Hey! I need this pretty fast- just do the first one though! Thank you! :)

Karolina [17]

Step-by-step explanation:

A. part 1: $1.49 for 6 pencils

1 pencil would cost $1.49 / 6 = $0.24833(5s.f.) = $0.25 (nearest cent)

part 2: $4.60 for 20 pencils

1 pencil would cost $4.60 / 20 = $0.23

best value: part 2 (20pencil pack)

If you wish to explore more into mathematics you can give me a follow on Instagram (learntionary) I'll be regularly posting notes and tips for mathematics

4 0

3 years ago

ANTONII [103]

55/100 or 11/20

Since 55% is 55/100 as a fraction. then at it's simplest form it's 11/20.

4 0

4 years ago

Read 2 more answers

I need help with this question plzzz Geometry

KATRIN_1 [288]

Answer:

If the perimeter of a square measures 32 cm, each side measures 32/4= 8 cm, because all sides are equal.
The diagonal that passes through the center of the square divides the square into two triangles. The triangles are formed by a hypotenuse (the diagonal, which is k in this case), and two sides, that measure 8 cm each, in this case.
Because of Pythagoras' theorem, we know that the lenght of the hypotenuse (in this case the hypotenuse is k) equals the squared root of the sum of the squared sides, which in this case can be expressed as $k=\sqrt{8^2+8^2} =\sqrt{64+64}=\sqrt{128}=11.31$ .
Then, k=11.31 cm.