The pair of triangles below have two corresponding parts marked as congruent. What additional information is needed for a SAS congruence correspondence?


A. EL⎯⎯⎯⎯⎯⎯⎯≅KA⎯⎯⎯⎯⎯⎯⎯⎯
E
L
¯
≅
K
A
¯
B. ∠E≅∠K
∠
E
≅
∠
K
C. ∠L≅∠A
∠
L
≅
∠
A
D. ∠C≅∠J

Answer:

[tex]v(t) = 4(t -7)(t +1)[/tex]

Step-by-step explanation:

Given

[tex]v(t) = 4t^2 - 24t - 28[/tex]

Required

Rewrite in a different form

To write in a factored form, we have:

[tex]v(t) = 4t^2 - 24t - 28[/tex]

Expand

[tex]v(t) = 4t^2 +4t- 28t - 28[/tex]

Factorize

[tex]v(t) = 4t(t +1)- 28(t +1)[/tex]

Factor out t + 1

[tex]v(t) = (4t -28)(t +1)[/tex]

Factorize 4t - 28

[tex]v(t) = 4(t -7)(t +1)[/tex]

========================================================

Explanation:

The notation [tex]a_1[/tex] refers to the first term. So the first term is 21.

The d = -3 is the common difference. It's the value we add onto any given term to get the next following term.

We can say:

second term = (first term) + (common difference)

second term = [tex]a_1 + d[/tex]

second term = 21 + (-3)

second term = 18

Through similar steps, you should find that the third term is 15, the fourth is 12, and so on. Each time we decrease by 3.

The arithmetic sequence would be: 21, 18, 15, 12, 9, ...

The first three terms are 21, 18, and 15.

Answer:

1. One solution

2. Infinitely many solutions

3. No solution.

Answer:

9.8x10^5 really hope this helps

Answer:

980,000,000,000,000

Step-by-step explanation:

Answer:

answer is 52.5

Step-by-step explanation:

hope it helps

9514 1404 393

Answer:

  042

Step-by-step explanation:

The first clue tells you the possibilities are ...

  6__, _8_, or __2

The second clue eliminates 6__ and tells you the possibilities are ...

  18_, _81, 1_2, 48_, _42

The third clue tells you two of the correct digits are 0 and 2, since 6 has already been eliminated by the first two clues. This only leaves 042.

042 is consistent with the last 2 clues.

The 3-digit key is 042.

Answer:

Growth;

A = 20,000(1.08)^t

A = 40(3)^t

P = 1700(1.07)^t

Decay;

A = 80(1/2)^t

A = 1600(0.8)^t

P = 1700(0.93)^t

Step-by-step explanation:

The key to differentiate between decay and growth is the term inside the bracket

For growth, the term inside the bracket is greater than 1, while for decay, the term inside the bracket is less than 1

Looking at the given equations, we have;

Growth;

A = 20,000(1.08)^t

A = 40(3)^t

P = 1700(1.07)^t

Decay;

A = 80(1/2)^t

A = 1600(0.8)^t

P = 1700(0.93)^t

Answer:

* For future readers *

I just took the test :)

Answer:

no

Step-by-step explanation:

Answer:

231.746 km

Step-by-step explanation:

Formula: [tex]distance = speed[/tex] × [tex]time[/tex]

Solution: To solve for distance use the formula for distance

Rate and speed are similar since they both represent some distance per unit time like miles per hour or kilometers per hour. If rate r is the same as speed s, r = s = d/t. You can use the equivalent formula d = rt which means distance equals rate times time.

Firstly, convert the time from hours to minutes

2 hr 15 min = 2.25 hr

or 2.25 hr = 135 min

Now, use the formula:

135 × 64 = 8640

In km, the distance traveled is 231.74

Answer:

2880

Step-by-step explanation:

10 x 8 x 6 x 12 = 5760/2 = 2880

Answer:

a

Step-by-step explanation:

just did it

Answer:

-5/3

Step-by-step explanation:

Any line parallel to the given line will have the same slope as the given equation;

Given the equation 15x+9y=-162

Rewrite in standard from y = mx+b

15x+9y=-162

9y = -15x - 162

y = -15/9 x - 162/9

y = -5/3 x - 18

This gives the required equation;

Since mx = -5/3 x

m = -5/3

Hence the slope of the line parallel to the given line is -5/3

Answer:

Here we want to solve the equation:

"2, minus, 10, plus, 8, minus, left parenthesis, minus, 2, right parenthesis."

This can be written as:

2 - 10 + 8 - (-2)

Remember that we can solve this in any order we want, so let's go from left to right:

So we can solve first:

( 2 - 10) + 8 - (-2)

We know that:

2 - 10 = -8

Then we can replace that in the expression to get:

( 2 - 10) + 8 - (-2)  = -8 + 8 -(-2)

Now we can solve:

(-8 + 8) - (-2)

We know that:

-8 + 8 = 0        

Replacing that in the equation we get:

(-8 + 8) - (-2)    = 0 - (-2) = -(-2)

And now we can remember the rule of the signs:

(+)*(+) = (+)

(-)*(-) = (+)

(-)*(+) = (-)

(+)*(-) = (-)

Then:

-(-2) = (-1)*(-2) = +(1)*(2) = 2

The solution of the expression is 2.

Answer:

The answer is 2

I checked it on Khan

Step-by-step explanation:

Answer:

35 is a reasonable amount

Step-by-step explanation:

Since all of the books cost around $7 and there are 5 books

when you multiply 7x5=35

Answer:

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

Using Secants ad Segments Theorem we can say;

(x + 7) (7) = (15 + 6) (6)

7x + 49 = (21) (6)

7x + 49 = 126

7x = 77

x = 11

Hope this helps!

Answer:

B,D,E

Step-by-step explanation:

Answer:

Thanks for The question the guy above his answer is correct thanks for looking I got 100% on the test

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

x = 103

Step-by-step explanation:

In my opinion, because x and 77 are the supplementary angles, so 180-77 = x or x+77=180. The answer should be 103......even though it's not in the options (I'm sorry).

Answer:103 degrees

Step-by-step explanation:

Straight line equals 180 degrees

180 degrees minus 77 degrees = 103 degrees

Answer:

a, bx squared

Step-by-step explanation:

Answer:

1.024 cm

Step-by-step explanation:

volume of Sphere is given by; V=4/3(πr³).

by making r subject of formula, the equation for r is;

r=³√(3v)/4π

given from question that V=4.5cm³, π=3.14, substituting the values in the equation for r,

we have that;

r=³√[3(4.5)]/[4(3.14)]

r=1.024 cm ( 2 significant figures?

Answer:

Cubic Inches

Step-by-step explanation:

I hope this helps you.

1 . 6 8 10

2. 18 24 30

3. 10 5 5√5

4. 5 5 5√2

5. a a a√2

6. 3√3 3 6

Answer:

-45/4 or -11.25

I'm pretty sure this is right hope it helps

Answer:

Simplify the expression:

Exact form:

-27/4

Decimal form:

-6.75

Mixed number:

-6 3/4

Step-by-step explanation:

The / actually means to divided.