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2 years ago

PLEASE RESPOND!!!!

Mathematics

1 answer:

abruzzese [7]2 years ago

7 0

Answer:SAS

Step-by-step explanation:

the SAD ( or side-angle -side ) postulate basically states that if two sides of of two triangles ana the included angle are congruent , the two triangles are in fact congruent ( if that makes sense)

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An isosceles trapezoid ABCD with height 2 units has all its vertices on the parabola y=a(x+1)(x−5). What is the value of a, if p

horrorfan [7]

Answer:

a = -0.3575

Step-by-step explanation:

The points A and D lie on the x-axis, this means that they are the x-intercepts of the parabola, and therefore we can find their location.

The points A and B are located where

$y=a(x+1)(x-5)=0$

This gives

$x=-1$

$y=5$

Now given the coordinates of A, we are in position to find the coordinates of the point B. Point B must have y coordinate of y=2 (because the base of the trapezoid is at y=0), and the x coordinate of B, looking at the figure, must be x coordinate of A plus horizontal distance between A and B, i.e

$B_x=A_x+\frac{2}{tan(60)} =-1+\frac{2\sqrt{3} }{3}$

Thus the coordinates of B are:

$B=(-1+\frac{2\sqrt{3} }{3},2)$

Now this point B lies on the parabola, and therefore it must satisfy the equation $y=a(x+1)(x-5).$

Thus

$2=a((-1+\frac{2\sqrt{3} }{3})+1)((-1+\frac{2\sqrt{3} }{3})-5)$

Therefore

$a=\frac{2}{((-1+\frac{2\sqrt{3} }{3})+1)((-1+\frac{2\sqrt{3} }{3})-5)}$

$\boxed{a=-0.3575}$

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3 years ago

Read 2 more answers

In order to determine whether or not a variable type of process is in control (whereoutput can be measured, not just classified

Tema [17]

Answer:

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Step-by-step explanation:

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3 years ago

Two rectangles are similar. The length and width of the first rectangle are 12

Masja [62]

Answer:

scale factor = 1.2

Step-by-step explanation:

To determine the scale factor, calculate the ratio of the length of the second rectangle to the length of the first rectangle. The corresponding ratio of widths should also equal the same ratio.

scale factor = $\frac{14.4}{12}$ = $\frac{6}{5}$ = 1.2

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3 years ago

What is the degree measurement for angle 2+27x. Thank you to anyone that helps

HACTEHA [7]

Answer:

2+27x = 110°

Step-by-step explanation:

Since both lines are parallel, the angles are same side interior angles, which mean they both add up to 180°.

(16x+6)+(2+27x) = 180°

Move them to each side:

16x+27x = 180-6-2

43x = 172°

x = 4°

Verify:

110°+70° = 180°

6 0

3 years ago