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3 years ago

The lines s and t intersect at point R. What is the value of y? y = ____

Mathematics

1 answer:

ozzi3 years ago

7 0

Assuming that the angles are congruent, then y = 29.
4y - 8 = 79 + y
4y = 87 + y Add 8 to both sides
3y = 87 Subtract y from both sides
y = 29

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The approximate land areas of the seven continents are listed in the table below.

Varvara68 [4.7K]

Answer:

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Step-by-step explanation:

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Arrange the land areas in ascending order :

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Dvinal [7]

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The ratio of the perimeters of two similar triangles is 4:7. What is the area of each of these triangles if the sum of their are

Mashcka [7]

Answer:

The area of triangles are 16 cm^2 and 49 cm^2

Step-by-step explanation:

we know that

If two figures are similar, the ratio of its perimeters is equal to the scale factor and the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of the smaller triangle in square centimeters

y ----> the area of the larger triangle in square centimeters

we know that

$z=\frac{4}{7}$

$\frac{x}{y}=z^2$

$\frac{x}{y}=(\frac{4}{7})^2$

$\frac{x}{y}=\frac{16}{49}$

$x=\frac{16}{49}y$ -----> equation A

$x+y=65$ ----> equation B

solve the system by substitution

substitute equation A in equation B

$\frac{16}{49}y+y=65$

solve for y

$\frac{65}{49}y=65$

$y=49\ cm^2$

Find the value of x

$x=\frac{16}{49}(49)$

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4 years ago

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3 years ago

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Anvisha [2.4K]

Step-by-step explanation:

Divergence Test: use this when the limit as n approaches infinity of a sequence isn't 0.

If lim(n→∞) an ≠ 0, then an diverges.

(Note this only tests divergence, not convergence.)

P Test: use this when the series is a p-series.

For an = 1 / nᵖ, if p > 1, then the series converges. Otherwise, it diverges.

Geometric Test: use this when the series is a geometric series.

For an = a₁ (r)ⁿ, if -1 < r < 1, then the series converges. Otherwise, it diverges.

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If ∫₁°° f(x) dx converges, then ∑₁°° f(n) converges.

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Comparison Test: use this when a sequence is similar to a p-series or a geometric series.

If bn > an and bn converges, then an converges.

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Otherwise, inconclusive.

Limit Comparison Test: use this when comparison test is inconclusive.

If an ≥ 0 and bn > 0, and lim(n→∞) an/bn > 0 and finite, then an and bn either both converge or both diverge.

Alternating Series Test: use this when the series is alternating. This usually includes (-1)ⁿ or (-1)ⁿ⁺¹, but might use trig functions instead.

If an = (-1)ⁿ bn or (-1)ⁿ⁺¹ bn, where bn ≥ 0, and if lim(n→∞) bn = 0, and bn is decreasing, then an converges.

(Notice this only tests for convergence, not divergence.)

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