Question

11. The value of y for which the expressions (y-15) and (2y+1) become equal is _________


a)0
b) 16
c)8
d) -16


12. If k+7=16 , then the value of 8k-72 is ___________


a) 0
b) 1
c) 112
d) 56


13 . If two complementary angles are in the ratio 1:2,then the bigger angle is _________


a) 64°
b)16°
c)144°
d)36°


14. If angle x and angle y form a linear pair ,then the measure of a is _________. When the measure of y is 75° .


a)115°
b)85°
c) 105°
d) 125°


15. Angles which are both supplementary and vertically opposite are _________


a)95°,85°
b)90° , 90°
c) 100° , 80°
d) 45°, 45°


16. The difference of two complementary angles is 30° .Then the angles are __________


a) 60°,30°
b)70° ,40°
c) 20° ,50°
d) 105° ,75°


17.If two sides of a triangle are of lengths 8cm 6cm ,then the third side must be __________


a)less than 14cm,
b) greater than 14cm ,
c)equal to 10 cm,
d)14cm


18. In a right triangle, the hypotenuse and a side are 17cm and 8cm respectively, then the perimeter of the triangle is __________


a)14cm
b)15 cm
c) 16 cm
d) 17 cm


19. In an isosceles triangle, one angle is 70°.The other two angles are of ________


a) 55° and 55°
b) 70°and 40°
c) any measure
d)none of the above


20. Find the perimeter of a rectangle whose one side measure 24m and the Diagonal is 25m .


a) 62m
b)72 m
c) 52 m
d ) 42 m

21. In a triangle ABC angle B=45° and angle A= 90° .The pair of equal sides are __________


a) AB and AC
b) BC and AB
c) BC and AC
d) None of the above


22. PQRS is a square and PQT is an equilateral triangle on the side PQ of the square , angle SPT= __________


a)45°
b) 40°
c) 30°
d) 15°


23. In ∆ ABC AND ∆ XYZ ,if AC=XZ and BC =XY ,then for the two triangles to be congruent by SAS congruence condition which of the following is true?


a)∠A =∠B
b) ∠ B = ∠Y
c) ∠B = ∠Z
d)∠ C = ∠X


24. What should be added to (3x ²+ 4) to get (9x − 7)?


a) ( 12 x ² − 11)
b) (12 x ²+11 )
c) ( 6 x² − 11)
d) ( 6 x² + 11)


25. ( 3p+q) –(p-q) equals to ____________


a)3p
b)2q
c) 2p+2q
d)4p-2q​

Answer 1

Step-by-step explanation:

11)y-15=2y+1

=>y-2y=1+15

=>-y=16

therefore,x=-16

12)k+7=16=>k=16-7=9

now,8k-72=>8(9)-72=72-72=0

13)options are wrong for given question

the ratio of two complementary angles is 1:2

Let they be x+2x=90°

=>3x=90°

=>x=90°/3

=>x=30°

2x=2×30°=60°

bigger angle =60°

14)180-75=105°

15)90° and 90°

16)60° and 30°

17)8+6=14 cm

18)17²-8²=289-64=225=15²

third side =15cm

perimeter=8+15+17=40cm

19)180-70=110

55° and 55°

20)the length=24

breadth=√(25²-24²)=√625-576=√49=7

perimeter=2(24+7)=2(31)=62

21)AB and AC

22)30°

23)d)∠ C = ∠X

24)9x²-7-3x²-4=6x²-11

25)( 3p+q) –(p-q) =3p+q-p+q=2p+2q

Answer 2

Here is Your answer....❤

11.A

12.A

13.C

14.D

15.C

16.B

17.C

18.A

19.C

20.B

21.C

22.A

23.C

24.B

25.B

Hope it helps...❤