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3 years ago

ABCD is a parallelogram.

Mathematics

2 answers:

Dmitry_Shevchenko [17]3 years ago

7 0

Answer:

Using SAS they are congruent.

Step-by-step explanation:

E is the point where the diagonals AC and BD meet.

Side: AB = CD

Angle: ∠ABE = ∠EDC

Side: BE = DE

Hence by SAS theorem the two triangles are congruent.

Orlov [11]3 years ago

6 0

Answer and Step-by-step explanation:

Because this is a parallelogram, by definition, the intersection point of the two diagonals bisects them, making AE = CE and BE = DE.

We also know that ∠AEB = ∠CED because they're vertical angles, so by definition, they're congruent.

Thus, we can use the side-angle-side (SAS) congruency theorem to prove that ΔABE ≅ ΔCDE.

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posledela

Answer:

Step-by-step explanation:

$\frac{3}{4}x=6$

Find: x

--------------------------------------

$\frac{3}{4}x=6$

Also equals to:

$\frac{3}{4} * x=6$

In that case, we can divide by $\frac{3}{4}$ on both sides.

$\frac{3}{4} * x=6$

÷ $\frac{3}{4}$ ÷ $\frac{3}{4}$

$x=6$ ÷ $\frac{3}{4}$

x= 8

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3 years ago

A plane at an altitude of 7000 ft is flying in the direction of an island . If an angle of depression is 21 ° from the plane to

Nonamiya [84]

The horizontal distance until the plan flies over the island is 2687.05 feet approximately.

<u>Solution:</u>

Given that, A plane at an altitude of 7000 ft is flying in the direction of an island

An angle of depression is 21 degree from the plane to the island

We have to find what is the horizontal distance until the plan flies over the island

The diagram is attached below

Assume as shown in the diagram , now we can use the right angle triangle property

$\tan (21)=\frac{\text {distance between plane and point above island}}{\text {height of plane}}$

$\tan (21)=\frac{\text {distance between plane and point above island}}{7000}$

$\text { Distance between plane and point above island }=7000 \times \tan (21)$

$=7000 \times 0.38386=2687.0482$

Hence, the distance between plane and point above island is 2687.05 feet approximately.

3 0

2 years ago

What is the correct answer?

Fynjy0 [20]

I believe it’s 12. But I’m not sure

8 0

2 years ago

Read 2 more answers

Write the equation of the graph shown below in factored form. a graph that starts at the top left and continues down through the

Brut [27]

Answer:

(d) f(x) = (x − 3)^2(x − 2)(x − 1)

Step-by-step explanation:

In this context, a crossing of the axis at x=p means there is a factor of (x-p). A "touch" of the axis at x=q means there is a factor of (x -q)^2.

A crossing at x=1 and x=2, and a touch at x=3 means the factors are ...

f(x) = (x -1)(x -2)(x -3)^2 . . . . . matches the last choice

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1 year ago

The sum of the lengths of any two sides of a triangle must be greater than the third side. if a triangle has one side that is 8

BartSMP [9]

1st Side: 8

2nd Side: 2x - 1

3rd Side: x

(8) + (2x - 1) > x (2x - 1) + x > 8 (x) + (8) > 2x - 1

2x + 7 > x 3x - 1 > 8 8 > x - 1

2x > -7 3x > 9 9 > x

x > -3.5 (disregard) x > 3 x < 9

3rd Side: x ⇒ (3 < x < 9)

2nd Side: 2x - 1 ⇒ 2(3) - 1 < x < 2(9) - 1 ⇒ 5 < x < 17

Answer: the 3rd side must be between 3 and 9, the 2nd side must be between 5 and 17

6 0

3 years ago