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. = 4. If I MQRS is a rectangle with IQR] = x+7 cm. and IMS] = 15 cm, find the value of x. M 7 b. 8 c. 9 d. 12 a. 5. From the same figure on the right. If |MR| = 20 cm T = 15 X +7 what is the measure of TQ ? a. 10 cm b. 20 cm c. 30 cm d. 40 R For nos. 6-8, find the value of the indicated expression using rectangle DABCD. On 6. What is the value of |AC| + JADI, if |BD|= 28 cm and JADI = 21 cm a. 18 cm b. 49 cm c. 59 cm d. 70 cm = 7. What is the value of |BD| - |AC], if |BC| = 40 cm and [CD] = 30 ci 0 b. 10 cm c. 20 cm d. 30 cm a. A 8. What is |BD| if |BC| = 40 cm and |AC| = 50 cm? d. 70 cm a. 10 cm c. 50 cm b. 25 cm M A 9. Given rectangle MATH. What is the measure of MT, if |MH| = 5 cm and JAH] = 9 cm? d. 9 cm c. 5 cm a. 3 cm b. 4 cm = 10. On the same figure, if |MT| = 5(x - 4) and |AH= 2(x-1), 5 T H what is the value of x? d. 6 b. 4 c. 5 a. 3​

4 If I MQRS Is A Rectangle With IQR X7 Cm And IMS 15 Cm Find The Value Of X M 7 B 8 C 9 D 12 A 5 From The Same Figure On The Right If MR 20 Cm T 15 X 7 What Is class=

Sagot :

Answer:

6)  b. 9 cm

7) a. 0

Using the Pythagorean Theorem,

c² = a² + b²

c² = 40² + 30²

c² = 1600 + 900

c² = 2500

[tex]\sqrt{c^{2} } =\sqrt{2500}[/tex]

c = 50

Then the hypotenuse, or diagonal of rectangle is 50 cm, then...

BD - AC is 50 - 50 = 0

8) c. 50 cm

Explanation:

The 2 diagonals of a rectangle is congruent or have the equal measure of length.

9) d. 9 cm

Explanation:

The 2 diagonals of a rectangle is congruent or have the equal measure of length.  

10) d. 6

Explanation: Both diagonals of a rectangle is congruent.

So, [tex]\overline{MT}\cong\overline{AH}\\[/tex].

[tex]5(x-4) = 2(x-1)\\5x - 20 = 2x - 2\\5x - 2x = 20 - 2\\3x = 18\\x = 6[/tex]