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Fantom [35]
2 years ago
15

Based only on the information given in the diagram, which congruence

Mathematics
1 answer:
Nata [24]2 years ago
8 0

The option (C) LA and (D) ASA are correct because two angles and one side are the same.

<h3>What is the congruent triangle?</h3>

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

From the triangle DEF and triangle JKL

∠D = ∠J  (given)

∠F = ∠L  (given)

ED = KJ  (given)

∴ Triangle DEF and triangle JKL are congruent by the ASA

ΔDEF≅ΔJKL

Also:

∠F = ∠L  (given)

ED = KJ  (given)

ΔDEF≅ΔJKL by LA

Thus, the option (C) LA and (D) ASA are correct because two angles and one side are the same.

Learn more about the congruent triangle here:

brainly.com/question/12413243

#SPJ1

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A building supply company sells sand by the cubic yard. The price of one cubic yard of sand is $33.75. What do you think the pri
myrzilka [38]

Answer:

<u>$911.25</u>

Step-by-step explanation:

We know:

1 yd = 3 feet

So, 1 cubic yards should be *THREE* times the power of what the initial scale factor is, 3 cubed. That would make it:

1 yd = 3 feet

1^3 yd = 3^3 feet

1 cu. yd. = 27 cu. ft.

That means, the price of 1 cubic feet of sand is 27 times of the price of 1 cubic yd price

33.75 * 27 = <u>$911.25</u>

5 0
4 years ago
I need the answer please work out this tough question for me
Crank

Answer:

56

Step-by-step explanation:

Let N be the total number of spins.

Probability of A on Red and B on Red = 0.5 x 0 .6 = 0.3 (top branch of tree)

Therefore with N spins, the estimated number of times spinner A and spinner B land on red is 0.3N and we are given this as 84

So 0.3N = 84
N = 84/0/3 = 280

The probability of spinner A on blue and spinner B on blue is 0.5 x 0.4 = 0.2 (lowest branch of tree)

For 280 spins, the estimated number of times that both spinners land on blue is given by 0.2 x 280 = 56

3 0
3 years ago
a culture started with 4,000 bacteria. after 7 hours,it grew to 5,200 bacteria. Predict how many bacteria will be present after
serious [3.7K]
Start with trying to figure out rate (r):
P = i•e^rt
5200 = 4000•e^(r•7)
5200/4000 = 1.3 = e^7r
ln 1.3 = ln (e^7r)
.262 = 7r•1, because the ln (e) = 1
r = .262/7 = .0375
Now that you have the rate, plug in that for r and 9 hours as the new t, with again our 4200 as the i
P = i•e^rt = 4200•e^(.0375•9)
P = 4200•1.401 = 5,886 bacteria
5 0
4 years ago
Simplify the expression.<br> 2(5+9)-6
bagirrra123 [75]

Answer:

43/45

Step-by-step explanation:

4 0
3 years ago
Homework Progress<br> 0<br> Find the nth term of the following sequence: 4 7 12 19 28
just olya [345]

<em>Answer:</em>

n²+3

<em>Explanation:</em>

The differences between the terms are not the same, so this is not "linear". Knowing that the sequence may have started with a 1, you can try subtracting the first number with a number to get 1, and use that number to subtract the rest.

4 - 3 = 1
7 - 3 = 4
12 - 3 = 9
19 - 3 = 16
28 - 3 = 25

In this case, subtracting 3 to all the numbers gave us perfect squares! So this means the nth term has to do with squaring the number and adding three afterward! This can be checked.

√1 = 1
√4 = 2
√9 = 3
√16 = 4
√25 = 5

As we found the values of these terms by subtracting three first and then finding its square root, the nth term will be the opposite; squaring and then adding three! Again, this can be checked!

1² + 3 = 4
2² + 3 = 7
3² + 3 = 12
4² + 3 = 19
5² + 3 = 28

Hope this helps !! :D

5 0
2 years ago
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