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3 years ago

If ΔABC ≅ ΔDEF, then ∠B is congruent to:

Mathematics

2 answers:

Roman55 [17]3 years ago

6 0

Answer:

the a correct

Step-by-step explanation:

Umnica [9.8K]3 years ago

5 0

Answer:

∠B = ∠E

Step-by-step explanation:

If ΔABC ≅ ΔDEF, then:

∠A = ∠D

∠B = ∠E

∠C = ∠F

(pair of corresponding angles are congruent)

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It would be great if someone could help me with this problem

GaryK [48]

Y-intercept (0, 1)
Equation of asymptote y=0

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It means the place where the line almost meets but actually not touching the place. The line almost touches y=0 but it actually does not touch it.

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3 years ago

Please help me to solve all the questions would appreciate it if its with full working

Degger [83]

∠ KGH is equal to 77°. This is arrived at by using the knowledge of the total angles in Parallel Lines.

<h3>What are the total angles on a straight line?</h3>

According to the laws of lines and angles, the total number of angles that can exist on a straight line is 180°.

If ∠CED = 25° and ∠BFL = 78°, then: ∠KGH = 180-(25+78), which is equals 77°. This is because the total angles on a straight-line total 180°

Recall that in angles in parallel lines:

Corresponding Angles are always congruent,
Alternate Angles are always congruent, and
Interior According always sum up to 180°

Hence,

We can derive ∠LKJ because it is congruent with ∠BGJ.

To get ∠BGJ, we must get ∠LFH because both of them are interior angles and sum up to 180°.

To get ∠LFH, we must subtract ∠BFL from 180° because they are both angles on a straight line.

Hence ∠LFH = 180 - 78 = 102°

Recall that ∠LFH and ∠BGJ are interior angels. Hence

∠BGJ = 180 - 102 = 78°.

Since ∠BGJ is a corresponding ∠ with ∠LKJ, therefore

∠LKJ = 78°

∠ALM is ∠BFL because they are both corresponding angles and are therefore congruent.

<h3>What are the solutions to section B?</h3>

Because ∠ACB and ∠BAC are equal, therefore sides AB and BC are equal in length. We can tell that ∠ACB and ∠BAC are equal because the total angles in the triangle are equal to 180°

2. The name given to the triangle mentioned above is Obtuse

Triangle. This is because one of the angles exceeds 90°.

Learn more about angles in parallel lines at:
brainly.com/question/24607467
#SPJ1

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2 years ago

Subract (10a^2-6a)-(7a^2-8a)

dybincka [34]

The answer is 3a^2-14a

7 0

3 years ago

Read 2 more answers

4. Jim and Kirk are playing a card game where they trade chips. At the beginning of the game, Jim has four times as many chips a

s2008m [1.1K]

Answer:

(a) $j = 4k$

(b) $4k - 18 = 18 + k$

Step-by-step explanation:

Given

$j = Jim$

$k=Krik$

Solving (a): An equation for the amount they originally had.

From the question, we understand that j is 4 times as many as k.

Mathematically, this is:

$j = 4 * k$

$j = 4k$

Solving (b): Equation after Kirk wins

Initially Kirk had k.

To get the new expression, we add 18 to k.

This gives: 18 + k

In the same vein, Jim's number of chirps will reduce by 18.

Initially, Jim had j chirps (or 4k chirps)

To get the new expression, we subtract 18 from j.

This gives: j - 18

So, the equation is:

$j - 18 = 18 +k$

Solving (c): Number of chirps they started with.

In (b), we have:

$j - 18 = 18 +k$

Substitute 4k for j

$4k - 18 = 18 + k$

Collect Like Terms

$4k - k = 18 + 18$

$3k = 36$

Divide both sides by 3

$k =12$

Substitute 12 for k in $j = 4k$

$j = 4 * 12$

$j = 48$

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3 years ago

What is constant o proportionality in the equation y=16.14z? PLEASE SHOW HIW TO DO THIS.

Svet_ta [14]

Y = 16.14z ; the constant of proportionality is 16.14. It is called constant of proportionality because it never changes. It remains constant or the same. Whatever the value of z is, y is directly proportional to z by the rate of the constant of proportionality.

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3 years ago