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timama [110]
3 years ago
8

Please help me thank you very much.

Mathematics
1 answer:
Stella [2.4K]3 years ago
5 0
Question 1:

Since this is an isosceles trapezoid angle J is equal to angle M

20x + 9 = 14x + 15

Subtract both sides by 14x and 9

6x = 6

Divide both sides by 6

x = 1

Plug this into 14x + 15 and 20x + 9

You get 29 degrees.

Now, multiply that by 2.

29 * 2 = 58

Subtract that from 360 to get the sum of angles K and L

360 - 58 = 302

Now, divide that by 2 since we know that angles K and L are congruent.

302 / 2 = 151

That's the measure for both angle K and L.

The first choice is your answer.

Question 2:

The diagonals of a rhombus are always perpendicular. That means angles 1, 2, and 3 are all equal to 90 degrees.

Although it may seem that we'll have to solve for x, y, and z. We really only need to solve for z.

For angle 2, we know that x + y = 90.

Now, let's solve for z.

30z = 90

Divide both sides by 30

z = 3

Now, add them all together

x + y + z
= 90 + 3
= 93

The first choice is your answer.

Question 3:

The diagonals of a rectangle are always congruent.

6x + 16 = 49

Subtract both sides by 16

6x = 33

Now, divide both sides by 6

x = 5.5

The last choice is your answer.

Have an awesome day! :)
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Answer: 6 %

Step-by-step explanation: 6 % of 12.5 = 0.75. 12.5 plus 0.75 = 13.25

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Completely factor this polynomial:<br> 16x2-25y2
Furkat [3]
16x^2-25y^2=(4x)^2-(5y)^2=(4x-5y)(4x+5y)
3 0
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algol [13]
12 for $25 is $2.08 per each. 24 for $46 is $1.90 per each. 50 for $94 is $1.90 per each.
5 0
3 years ago
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find two consecutive intergers who sum is equal to the difference of three times the larger and two times the smaller
vekshin1

Answer:

4 and 6

Step-by-step explanation:

Let integers be x and x+2 Then:-

x + x + 2  = 3(x + 2) - 2x

2x + 2 = 3x + 6 - 2x

2x + 2 = x + 6

x = 4

The numbers are 4 and 6.

3 0
2 years ago
A store is having a sale on jelly beans and trail mix. For 8 pounds of jelly beans and 3 pounds of trail mix, the total is $18.
topjm [15]

Answer: each pound of jelly beans costs 1.5 dollars, or $1.50, and each pound of trail mix costs 2 dollars, or $2

Step-by-step explanation:

j = jellybeans

t = trail mix

2j + 5t = 13

8j + 3t = 18

To solve this, we want to isolate a variable, and solve for the other. Let's do that with each equation.

2j + 5t = 13

2j = 13 - 5t

j = (13 - 5t) / 2

8j + 3t = 18

8j = 18 - 3t

j = (18 - 3t) / 8

Now that we have isolated the variable j in each equation, we can set the two right-sides equal to each other, and solve for t.

(13 - 5t) / 2 = (18 - 3t) / 8

By multiplying both sides by 8, this becomes simpler to look at.

8 * (13 - 5t) / 2 = 18 - 3t

4 * (13 - 5t) = 18 - 3t

4 * 13 - 4 * 5t = 18 - 3t

52 - 20t = 18 - 3t

52 = 18 + 17t

34 = 17t

34 / 17 = t

t = 2

Now that we have solved for t, we can trivially plug it into one of the other equations to solve for j. Let's choose the first equation, as it doesn't matter which we choose.

t = 2

2j + 5t = 13

2j + 5 * 2 = 13

2j + 10 = 13

2j = 13 - 10

2j = 3

j = 1.5

So, each pound of jelly beans costs 1.5 dollars, or $1.50, and each pound of trail mix costs 2 dollars, or $2.

6 0
2 years ago
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