Find the area of the image below: figure qrstu is shown. q is at 3, 0. r is at negative 3, 0. s is at negative 3, 7. t is at 1, 11. u is at 5, 7.
a)59 square units
b)65 square units
c)72 square units
d)83 square units

The are of  QRSTU is 65 square units

B is correct.

Step-by-step explanation:

Please see the attachment for figure QRSTU

Q is at (3,0)

R is at (-3,0)

S is at (-3,7)

T is at (1,11)

U is at (5,7)

First we make three triangle. Join SQ and QT

We get three triangle

ΔSRQ, ΔSQT and ΔTQU

Area of triangle formula

Area of QRSTU = ar(ΔSRQ) + ar(ΔSQT) + ar(ΔTQU)

Area of QRSTU = 21 + 26 + 18

                          = 65 square unit

Hence, The are of  QRSTU is 65 square units

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.