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pishuonlain [190]
3 years ago
14

Can someone please help me with this ​

Mathematics
1 answer:
ddd [48]3 years ago
4 0

59°

Explanation:

In a parallelogram, opposite angles are equal.

m∠PSR = m∠PQR

⇒ 7x° – 5° = 6x° + 13°

⇒ 7x° – 6x° = 13° + 5°

⇒ x° = 18°

Therefore, m∠PSR = 7(18°) – 5° = 121°

In a parallelogram, sum of the adjacent angles is 180°.

So, m∠QPS + m∠PSR = 180°

⇒ m∠QPS + 121° = 180°

⇒ m∠QPS = 180° – 121°

⇒ m∠QPS = 59°

Hence, m∠QPS must be 59° for PQRS to be a parallelogram.

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A sector of a circle makes a 127° angle at its centre. If the arc of the sector has length 36 mm, find
Veseljchak [2.6K]

Answer:

Approximately 68.5\; \rm mm.

Step-by-step explanation:

Convert the angle of this sector to radians:

\begin{aligned}\theta &= 127^{\circ} \\ &= 127^{\circ} \times \frac{2\pi}{360^{\circ}} \\ &\approx 2.22\end{aligned}.

The formula s = r\, \theta relates the arc length s of a sector of angle \theta (in radians) to the radius r of this sector.

In this question, it is given that the arc length of this sector is s = 36\; \rm mm. It was found that \theta = 2.22 radians. Rearrange the equation s = r\, \theta to find the radius r of this sector:

\begin{aligned} r&= \frac{s}{\theta} \\ &\approx \frac{36\; \rm mm}{2.22} \\ &\approx 16.2\; \rm mm\end{aligned}.

The perimeter of this sector would be:

\begin{aligned}& 2\, r + s \\ =\; & 2 \times 16.2\; {\rm mm} + 36\; {\rm mm} \\ =\; & 68.5\; \rm mm\end{aligned}.

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2 years ago
A
slava [35]

Answer:

Step-by-step explanation:

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2 years ago
PLZZZHELP <br> ill mark brainliest
ludmilkaskok [199]

Answer:

y=\frac{x+2}{4} or y = 0.25x + 0.5

Step-by-step explanation:

You need to try change the subject from x to y.

x = 4y - 2

We first move -2 to the left, making the equation

x + 2 = 4y i.e.

4y = x + 2

We then divide both sides by 4.

y=\frac{x+2}{4} or y = 0.25x + 0.5

We now have successfully made y the subject, and effectively solving the equation.

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3 years ago
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What is 2 7/4 in simplest form
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2 7/4=3.75

THE ANSWER IS 3.75

4 0
3 years ago
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