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Effectus [21]
3 years ago
11

Congruent figure help please :)

Mathematics
1 answer:
laiz [17]3 years ago
7 0

Answer:

x = 29

Step-by-step explanation:

ΔABC ≅ ΔDEC,

So, ∠BAC  ≅∠CDE    {Corresponding parts of congruent triangles}

∠BAC = 74°

InΔABC,

∠ABC + ∠BAC + ∠BCA = 180

2x + 74 + 48 = 180

2x + 122 = 180  

Subtract 122 from both sides

2x = 180 - 122

2x = 58

Divide both sides by 2

x = 58/2

x = 29

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12:55 P.M. the movies was 2 hours and 25 minutes long after the movies they played a card game for 1 hour and 25 minutes and the
nlexa [21]

Answer:

7:25 P.M.

Step-by-step explanation:

Add 2:25, 1:25, and 2:40 = 6:30 and add that to 12:55= 19:25 which is also equal to 7:25 P.M.

8 0
3 years ago
Find the two smallest possible solutions to part 1a​
bixtya [17]
<h3>Answer: A. 5/12, 25/12</h3>

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

Work Shown:

12*sin(2pi/5*x)+10 = 16

12*sin(2pi/5*x) = 16-10

12*sin(2pi/5*x) = 6

sin(2pi/5*x) = 6/12

sin(2pi/5*x) = 0.5

2pi/5*x = arcsin(0.5)

2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n

2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n

x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)

x = 5/12+5n or x = 25/12+5n

these equations form the set of all solutions. The n is any integer.

--------

The two smallest positive solutions occur when n = 0, so,

x = 5/12+5n or x = 25/12+5n

x = 5/12+5*0 or x = 25/12+5*0

x = 5/12 or x = 25/12

--------

Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.

7 0
3 years ago
Read 2 more answers
4y (4y - 4) - 4 (-4 + 5 + 4y²)<br><br> please simplify &lt;3
sasho [114]

Answer:

16y - 4

Step-by-step explanation:

4y(4y - 4) - 4(- 4 + 5 + 4y^2)

16y - 16y - 4(1 + 4y^2)

16y - 16y - 4(4y^2 + 1)

16y^2 - 16y^2 + 4

16y - 4

5 0
3 years ago
3.
kherson [118]

Answer:

The answer would be A/B=H

Step-by-step explanation:

To get rid of the B that is connected to the H, you would do the opposite of what they used. Meaning since the two were multiplied you would divide them. So, you would take your b and divide it on both sides of the equal sign. B and B cancels each other out so you are left with A/B which equals H.

7 0
3 years ago
Find the distance between the points (-2, -10) and (-9,-5) on a coordinate plane.
Naddika [18.5K]

Answer:

√74

Step-by-step explanation:

3 0
3 years ago
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