(2x + 3)(x + 5)<br><br> Plz help <br> Thanks

kakasveta [241]

Step-by-step explanation:

(a^-7)/a^10 = a^(-7-10) => B

6 0

3 years ago

8. Let ABCD be a parallelogram with A on top left, B on top right, D on bottom left and C on the bottom right. Prove that opposi

AVprozaik [17]

Answer:

Step-by-step explanation:

A parallelogram is a quadrilateral with four sides.

Given parallelogram ABCD, to prove that opposite sides of the parallelogram are congruent.

Join D to B, the diagonal of the parallelogram which is also a traversal.

So that;

<ABD = <BDC (alternate angle property)

<BAC = <ACD (alternate angle property)

Also, diagonals;

/AC/ = /BD/ (reflexive property)

Then;

ΔABD = ΔCBD (Angle-Side-Angle, ASA, property)

Thus;

/AB/ ≅ /CD/ (corresponding sides of congruent triangles are congruent)

/BC/ ≅ /AD/ (corresponding sides of congruent triangles are congruent)

Therefore, the opposite sides of the parallelogram ABCD are congruent.

7 0

3 years ago

You recently sent out a survey to determine if the percentage of adults who use social media has changed from 66%, which was the

il63 [147K]

Answer:

The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

Of the 2809 people who responded to survey, 1634 stated that they currently use social media.

This means that $n = 2809, \pi = \frac{1634}{2809} = 0.5817$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5817 - 2.327\sqrt{\frac{0.5817*4183}{2809}} = 0.56$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5817 + 2.327\sqrt{\frac{0.5817*4183}{2809}} = 0.6034$

The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).

6 0

3 years ago

What number is 1/10 as great as 7962?

koban [17]

796.2 abhajdhhsgsgdh

5 0

3 years ago

If triangle XYZ’s points are X (-2, 1), Y (-4,-3), and Z (0,-2) what are the new coordinates of X’, Y’, and Z’ if the triangle i

8090 [49]

Answer:

The coordinates of image are X'(-3,4), Y'(-5,0) and Z'(-1,1).

Step-by-step explanation:

The vertices of triangle XYZ are X(-2,1), Y(-4,-3) and Z(0,-2).

It is given that the triangle translated by rule

$(x,y)\rightarrow (x-1,y+3)$

The coordinates of image of XYZ are

$X(-2,1)\rightarrow X'(-2-1,1+3)$

$X(-2,1)\rightarrow X'(-3,4)$

$Y(-4,-3)\rightarrow Y'(-4-1,-3+3)$

$Y(-4,-3)\rightarrow Y'(-5,0)$

$Z(0,-2)\rightarrow Z'(0-1,-2+3)$

$Z(0,-2)\rightarrow Z'(-1,1)$

Therefore coordinates of image are X'(-3,4), Y'(-5,0) and Z'(-1,1).

5 0

3 years ago

(2x + 3)(x + 5) Plz help Thanks