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3 years ago

Do all parallelograms have diagonals that are lines of symmetry?

1 answer:

7 0

Yes, because if you break the word "parallelogram up, it is "parallel" so parallel means all sides are parallel. To asnwer your question yes.
But they don't necessarily always have to be diagonal. they can be straight as long as they're parallel.

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Can someone PLEASE help me solve this equation ? due soon

RideAnS [48]

$\sf{Given : 3tanx + 7 = \dfrac{2}{(1 - sinx)(1 + sinx)}}$

We know that : (a - b)(a + b) = a² - b²

$\implies \sf{3tanx + 7 = \dfrac{2}{1 - sin^2x}}$

We know that : 1 - sin²x = cos²x

$\implies \sf{3tanx + 7 = \dfrac{2}{cos^2x}}$

$\sf{\bigstar \ \ We \ know \ that : \boxed{\sf{\dfrac{1}{cos^2x} = sec^2x}}}$

$\implies \sf{3tanx + 7 = 2sec^2x}$

We know that : sec²x = 1 + tan²x

$\implies \sf{3tanx + 7 =2(1 + tan^2x)}$

$\implies \sf{2 + 2tan^2x - 3 tanx - 7 = 0}$

$\implies \sf{2tan^2x - 3 tanx - 5 = 0}$

$\implies \sf{2tan^2x - 5tanx + 2tanx - 5 = 0}$

$\implies \sf{2tanx(tanx + 1) - 5(tanx + 1) = 0}$

$\implies \sf{(tanx + 1)(2tanx - 5) = 0}$

$\implies \sf{tanx = -1 \ (or) \ tanx = \dfrac{5}{2} }$

8 0

2 years ago

Arada [10]

Answer:

Gerrard

Step-by-step explanation:

Let the size of each poster be $x$

Eve's poster portion painted will be

$=\frac{1}{6}\times x\\=\frac{x}6}$

Gerrard's painted portion will be:

$=\frac{1}{5}\times x\\=\frac{x}{5}$

From the two inequalities, we find that $\frac{x}{5}$ is greater than $\frac{x}{6}$ by x/30

$\frac{x}{5}-\frac{x}{6}\\=\frac{x}{30}\\$

hence Gerrard has the larger blue section. His portion is 16.67% greater than Eve's

6 0

3 years ago

When exchanging US Dollars (USD) for Philippine Peso (PHP) the number of Philippine Pesos received is directly proportional to t

RUDIKE [14]

Answer:

Step-by-step explanation:

3 0

3 years ago

A robot that makes _/8 of a boat per day will make 7 boats in 8 days

Sidana [21]

7/8 boats per day will make it

8 0

3 years ago

Find the interest principle 8000 rate .06 compounded annually years 3

HACTEHA [7]

Answer:

535.07

Step-by-step explanation:

S=P(1+ i) ^n

i= nominal rate of interest / number of compounding periods

i =. 06/12

=0.18

Divided by 100

=0.0018

n- number of times interest is given per year x the number of years

n=12x3

=36

8000(1+0.0018)^36

=8535.07

Interest

8535.07 - 8000

=535.07

7 0

3 years ago