All categories

3 years ago

I need help PLEASE!!!

Mathematics

1 answer:

Hitman42 [59]3 years ago

7 0

Answer:

1. ∠A and ∠B are right angles. Given

2. m∠A = m∠ B All right angles are congruent.

3. ∠BEC≅ ∠AED Vertical angles are congruent

4. ΔCBE ~ ΔDAE AA

Step-by-step explanation:

A proof always begins with the givens.

1. ∠A and ∠B are right angles. -------------->Given

2. m∠A = m∠ B are equal since-----------> All right angles are congruent.

3. ∠BEC≅ ∠AED are also equal since---->Vertical angles are congruent

4. ΔCBE ~ ΔDAE since two angles are equal----------> AA

You might be interested in

I got two questions I need help with

vazorg [7]

Answer:1.A

2.D

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Graph the image of this triangle after a dilation with a scale factor of 2 centered at the origin.

Svet_ta [14]

Answer:

Since, the coordinates of the given triangle are (0,0), (4,-4) and (-4,-2)

In the dilation by the scale factor k with centered at origin,

$(x,y)\rightarrow (kx,ky)$

Thus, If the dilation occurs by the scale factor of 2 with centered at origin,

New coordinates of the triangles are,

$(0,0)\rightarrow (2\times 0, 2\times 0)$

$(-4,4)\rightarrow (2\times -4, 2\times 4)$

$(-4,-2)\rightarrow (2\times -4, 2\times -2)$

Thus, the coordinates of new triangle are,

(0,0) ( -8, 8) and (-8,-4)

7 0

3 years ago

Do inequalities have a range of solutions

marshall27 [118]

Answer:

They do often times. There's not really much to tell about it. They can have multiple, they can go on and on.

4 0

3 years ago

I need help solving this problem. Thanks

Kamila [148]

9514 1404 393

Answer:

y = -4/7x +58/7

Step-by-step explanation:

The slope of the given line segment is ...

m = (y2 -y1)/(x2 -x1)

m = (17 -3)/(1 -(-7)) = 14/8 = 7/4

Then the slope of the perpendicular line is ...

-1/m = -4/7 . . . . . slope of the perpendicular bisector.

The midpoint of the given line segment is ...

M = 1/2(x1 +x2, y1 +y2)

M = (1/2)(-7 +1, 3 +17) = 1/2(-6, 20) = (-3, 10)

The y-intercept of the bisector can be found from ...

b = y -mx

b = 10 -(-4/7)(-3) = 10 -12/7 = 58/7

Then the slope-intercept form equation for the perpendicular bisector is ...

y = mx +b

y = -4/7x +58/7

6 0

3 years ago

Aya = a1 + (n - 1)d

Alenkasestr [34]

Answer:

The 26th term of an arithmetic sequence is:

$a_{26}=67$

Hence, option A is true.

Step-by-step explanation:

Given

a₁ = -33

d = 4

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

substituting a₁ = -33 and d = 4 in the nth term of the sequence

$a_n=-33+\left(n-1\right)4$

$\:a_n=-33+4n-4$

$a_n=4n-37$

Thus, the nth term of the sequence is:

$a_n=4n-37$

now substituting n = 26 in the nth term to determine the 26th term of the sequence

$a_n=4n-37$

$a_{26}=4\left(26\right)-37$

$a_{26}=104-37$

$a_{26}=67$

Therefore, the 26th term of an arithmetic sequence is:

$a_{26}=67$

Hence, option A is true.

7 0

3 years ago