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3 years ago

Please solve the question.

Mathematics

1 answer:

Brrunno [24]3 years ago

7 0

Answer:

a = 125°, b = 20°, c = 35°, d = 90°, e = 55°

Step-by-step explanation:

Quadrilateral PQRS is inscribed in a circle, therefore it is a cyclic quadrilateral.

PQ is diameter, SR is chord and PR is transversal such that:

PQ || SR... (given)

$m\angle PRQ = 90°..(\angle \: inscribed \: in\: semicircle) \\\huge \red {\boxed {\therefore d = 90°}} \\\\m\angle RPQ= m\angle PRS .. (alternate \: \angle s) \\\huge \purple {\boxed {\therefore c = 35°}} \\\\In\: \triangle PQR, \\c + d + e = 180°\\35° + 90° + e = 180°\\125° + e = 180°\\e = 180° - 125°\\\huge \orange {\boxed {\therefore e = 55°}} \\\\a + e = 180°...(opposite \:\angle 's \: of \: cyclic \: quadrilateral) \\a + 55°= 180°\\a = 180°- 55°\\\huge \blue {\boxed {a = 125°}} \\\\In\: \triangle PSR, \\a + b + 35°= 180°\\125° + b + 35° = 180°\\160° + b = 180°\\b = 180° - 160°\\\huge \pink {\boxed {b = 20°}}$

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Sarah has $20 saved. She gets $10 per week for her allowance, and she saves her allowance for the next 3 weeks. At the end of th

Nimfa-mama [501]

Answer:

Sarah will have $200 after 3 weeks

Step-by-step explanation:

amount saved at the start = $20

amount saved per week = $10

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Therefore Sarah will have $200 after 3 weeks

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4 years ago

D Question 1 10 pts Which digit is in the hundredths place of 107.263? 07 2 6 Question 2 10 pts

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Answer:

Step-by-step explanation:

We are given the number 107.263.

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The number 6 is in the hundredths place.

Hope this helps.

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3 years ago

If f(x) = (1/9)(9^x) what is f(3)

TiliK225 [7]

Answer: The required value of f(3) is 81.

Step-by-step explanation: We are given the following function :

$f(x)=\left(\dfrac{1}{9}\right)9^x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

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3 years ago

Read 2 more answers

As a follow-up to a report on gas consumption, a consumer group conducted a study of SUV owners to estimate the mean mileage f

kondor19780726 [428]

Answer:

The 95% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

Step-by-step explanation:

Our sample size is 96.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

$df = 96-1 = 95$

Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 95 and 0.025 in the t-distribution table, we have $T = 1.9855$ .

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

$s = \frac{5.6}{\sqrt{96}} = 0.57$

Now, we multiply T and s

$M = T*s = 1.9855*0.57 = 1.31$

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4 years ago

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SVEN [57.7K]

Hopes this helps:

Answer: x = -10/7

1. Simplify 2 • 2 to 4
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3. Subtract 10 from both sides.
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4. Divide both sides by 7.
X = -10/7

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3 years ago