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Makovka662 [10]
2 years ago
13

What is the solution to this inequality?

Mathematics
1 answer:
Evgen [1.6K]2 years ago
6 0

Answer:

Answer: x<7.1

Step-by-step explanation:

{ \tt{4.7 >  x - 2 \frac{2}{5} }} \\  \\ { \tt{4.7 > x -  \frac{12}{5} }} \\  \\ { \tt{x < 4.7 +  \frac{12}{5} }} \\  \\ { \boxed{ \tt{x < 7.1}}}

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In the figure, TP and TS are opposite rays. TQ bisects &lt; RTP.
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Answer:

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Class 9

>>Maths

>>Quadrilaterals

>>Quadrilaterals and Their Various Types

>>In Fig. 6.43, if PQ PS, PQ∥ SR, SQR = 2

Question

Bookmark

In Fig. 6.43, if PQ⊥PS,PQ∥SR,∠SQR=28

0

and ∠QRT=65

0

, then find the values of x and y.

463685

expand

Medium

Solution

verified

Verified by Toppr

Given, PQ⊥PS,PQ∥SR,∠SQR=28

∘

,∠QRT=65

∘

According to the question,

x+∠SQR=∠QRT (Alternate angles as QR is transversal.)

⇒x+28

∘

=65

∘

⇒x=37

∘

Also ∠QSR=x

⇒∠QSR=37

∘

Also ∠QRS+∠QRT=180

∘

(Linear pair)

⇒∠QRS+65

∘

=180

∘

⇒∠QRS=115

∘

Now, ∠P+∠Q+∠R+∠S=360

∘

(Sum of the angles in a quadrilateral.)

⇒90

∘

+65

∘

+115

∘

+∠S=360

∘

⇒270

∘

+y+∠QSR=360

∘

⇒270

∘

+y+37

∘

=360

∘

⇒307

∘

+y=360

∘

⇒y=53

∘

Step-by-step explanation:

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