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3 years ago

GHIJ is a parallelogram. find value of x and y. You need to show your work to earn full credit.

Mathematics

1 answer:

Anastaziya [24]3 years ago

6 0

Answer:x=5 and y=8

Step-by-step explanation:

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Harry's parrot is 11 years older than his cat.

Sav [38]

Answer:

The answer to your question is: P = 17 years

Step-by-step explanation:

Data

Parrot = 11 years older than the cat

C = cat age

P = parrot age

P = ? when C = 6

Process

P = C + 11

P = 6 + 11

P = 17 years

8 0

3 years ago

What is the area of the shaded sector of the circle?

oee [108]

Answer:

area if sector= teeta. ×πr²

360

120°. ×22×9×9

360. 7

3×1782

5346

5 0

3 years ago

Given that cot θ = 1/√5, what is the value of (sec²θ - cosec²θ)/(sec²θ + cosec²θ) ?

Bogdan [553]

Step-by-step explanation:

$\mathsf{Given :\;\dfrac{{sec}^2\theta - co{sec}^2\theta}{{sec}^2\theta + co{sec}^2\theta}}$

$\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{{sec}\theta = \dfrac{1}{cos\theta}}}}$

$\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{co{sec}\theta = \dfrac{1}{sin\theta}}}}$

$\mathsf{\implies \dfrac{\dfrac{1}{cos^2\theta} - \dfrac{1}{sin^2\theta}}{\dfrac{1}{cos^2\theta} + \dfrac{1}{sin^2\theta}}}$

$\mathsf{\implies \dfrac{\dfrac{sin^2\theta - cos^2\theta}{sin^2\theta.cos^2\theta}}{\dfrac{sin^2\theta + cos^2\theta}{sin^2\theta.cos^2\theta}}}$

$\mathsf{\implies \dfrac{sin^2\theta - cos^2\theta}{sin^2\theta + cos^2\theta}}$

Taking sin²θ common in both numerator & denominator, We get :

$\mathsf{\implies \dfrac{sin^2\theta\left(1 - \dfrac{cos^2\theta}{sin^2\theta}\right)}{sin^2\theta\left(1 + \dfrac{cos^2\theta}{sin^2\theta}\right)}}$

$\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{cot\theta = \dfrac{cos\theta}{sin\theta}}}}$

$\mathsf{\implies \dfrac{1 -cot^2\theta}{1 + cot^2\theta}}$

$\mathsf{Given :\;cot\theta = \dfrac{1}{\sqrt{5}}}$

$\mathsf{\implies \dfrac{1 - \left(\dfrac{1}{\sqrt{5}}\right)^2}{1 + \left(\dfrac{1}{\sqrt{5}}\right)^2}}$

$\mathsf{\implies \dfrac{1 - \dfrac{1}{5}}{1 + \dfrac{1}{5}}}$

$\mathsf{\implies \dfrac{\dfrac{5 - 1}{5}}{\dfrac{5 + 1}{5}}}$

$\mathsf{\implies \dfrac{5 - 1}{5 + 1}}$

$\mathsf{\implies \dfrac{4}{6}}$

$\mathsf{\implies \dfrac{2}{3}}$

Hence, option (a) 2/3 is your correct answer.

3 0

2 years ago

A track team will run a 4 mile relay race. The coach divided the students into groups of 4. The first runner of each group would

natita [175]

If a track team is running a relay race, shouldnt they be running the same distance? The fourth person who runs is going to be running alot more than everyone else.

3 0

3 years ago

A map has a scale of 1 in. : 38 ft use the given map distance to find the actual distance

Dvinal [7]

Answer:

for q 19 its x=209ft and for 21 its 66.5 ft i forgot q 20

Step-by-step explanation:

8 0

2 years ago