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sashaice [31]
3 years ago
5

Solve for x: 3 over 4 x + 5 over 8 = 4x

Mathematics
1 answer:
vaieri [72.5K]3 years ago
8 0

Step-by-step explanation:

3/4x + 5/8 = 4x/1

5/8 = 4x/1 - 3/4x

5/8 = 16x^2 - 3/4x

5/8 = 4x - 3/1

5/8 = 4x - 3

Cross multiply

8(4x - 3) = 5

32x - 24 = 5

32x = 5 + 24

32x = 29

X = 29/32

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In the figure, TP and TS are opposite rays. TQ bisects < RTP.
Ket [755]

Answer:

search-icon-image

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:

please mark me as brainlist please

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