All categories

2 years ago

Find the value of Y [Inscribed Angle]

Mathematics

2 answers:

Alexxandr [17]2 years ago

8 0

Answer:

x = 60°

Step-by-step explanation:

From ΔOPQ,

∠OPQ = 120° [ angle at the center inscribed by arc PQ ]

PQ ≅ OQ

so opposite angles to PQ and OQ will be equal

∠OPQ ≅ ∠OQP

∠OPQ + ∠OQP + ∠POQ = 180°

∠OPQ + ∠OPQ + 120 = 180°

2∠OPQ = 180 - 120 = 60°

∠OPQ = 30°

Since radius OP is perpendicular to tangent.

so ∠OPQ + Y = 90°

y + 30° = 90°

y = 90 - 30 = 60°

Answer x = 60°

marshall27 [118]2 years ago

3 0

Check the picture below.

You might be interested in

*50 POINTS -- FRESHMEN ~ ALGEBRA I *

aniked [119]

Step-by-step explanation:

so we know X= Numbers of Large boxes and Y= Numbers of Small boxes

And we know the large boxes weigh 75 pounds and the small boxes weigh 40 pounds

So I would have to say the the same except you have to flip the inequality sign like this:

75x + 40y

$\geqslant \\$

200

And if that doesnt somehow work and the question is wording it wrong then

My guess for why its wrong us because its not in slope intercept form Although you still can solve for either varible ( x or y) using standard form also.

So to get from standard form to Slope intercept form (y=mx+b) these are the steps:

Ax+by=C

75x + 40y ≤ 200

Turn it into a linear equation.

75x+ 40y =200

In order to go from one form to another, all you have to do is change the order of the given numbers. First you want to move the Ax to the opposite side of the equation, by either adding or subtracting it. At this point your equation will be set up By = -Ax + C. Then you want to divide the B from the By and the rest of the equation. Therefore you will have y = - Ax/B + C/B. This is the same thing as the slope-intercept form, just a few of the letters are different.

40y=-75x+200 first subtract 75x

y=−1.875×+5 then dived every varible (everything) by 40. and you have your Linear eqaution.

And your second question would be A. >The number of boxes must be a whole number. 

Because you cannot split boxes in half or in any quarter in a real life scenario.

4 0

3 years ago

ASAP

poizon [28]

2x + 2(2x+3) = 360
2x +4x +6 = 360
6x = 360 - 6
6x = 354
x = 354/6
x = 59

answer: x = 59

5 0

3 years ago

Please someone smart help mehh .^. (Asap)

jarptica [38.1K]

The answer is B. 37/56

8 0

2 years ago

Read 2 more answers

Please help im 25% blind

FrozenT [24]

Answer:

Step-by-step explanation: all you have to do is work it out

5 0

2 years ago

Use a double angle identity to rewrite the formula r(Θ)=<img src="https://tex.z-dn.net/?f=1%2F16v%5E2sin%28theta%29cos%28theta%2

Artist 52 [7]

Answer:

1/32v²sin2θ

Step-by-step explanation:

Given the expression r(theta) = 1/16v²sinθcosθ

According to double angle of trigonometry identity;

Sin2θ = sin(θ+θ)

Sin2θ = sinθcosθ + cosθsinθ

Sin2θ = 2sinθcosθ

sinθcosθ = sin2θ/2 ... **

Substituting equation ** into the question

1/16v²sinθcosθ = 1/16v²(sin2θ/2)

1/16v²sinθcosθ = 1/2×1/16v²(sin2θ)

1/16v²sinθcosθ = 1/32v²sin2θ

Hence using the double angle identity, the equivalent expression is 1/32v²sin2θ

7 0

3 years ago