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anzhelika [568]
3 years ago
5

I need help geometry ASAP. 30 points.

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
3 0

10a)  <u>x = 81</u>    <u>y = 30.5</u>

Isolate y

2y + 20 = x

2y = x- 20

y = x/2 - 10

Plug in for y

4y - 6 + 64 + x = 180

4(x/2 - 10) - 6 + 64 + x = 180

4x/2 - 40 -6 + 64 + x = 180

4x/2 + 18 = 180

4x/2 = 162

4x = 324

x = 81

Plug in for x

2y + 20 = x

2y + 20 = 81

2y = 61

y = 30.5

10b) <u>x = 47</u>

Isolate x

4x -12 = 3x + 35

x - 12 = 35

x = 47

11)

2. definition of parallelogram

3. < ABD ≅ < BDC

4. < CBD ≅ <BDA

6. I'm not 100% sure what this one is but I think it has something to do with the line of symmetry.

Hope this helps! ;)

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Complete the page for 15 points.
sergey [27]

Answer:

1. 15, 16, 17

2. 21, 23, 25

3. 44, 46, 48

4. -4, -3, -2

Step-by-step explanation:

1)

Step 1. Writing an equation

Let's set x as the second number in the equation.

This means that the first number is x-1, and the third number is x+1.

We know that the sum of the three numbers is 48, so:

(x-1)+x+(x+1)=48

Step 2. Solving the equation

x-1+x+x+1=48

x+x+x-1+1=48

3x=48

x=16

<em>So the answer is 15, 16, 17</em>

2)

Again, let's set x as the middle number.

Odd numbers are 2 numbers apart, so the first number is x-2, and the third is x+2.

This means that the equation must be:

(x-2)+x+(x+2)=69

x+x+x=69

3x=69

x=23

<em>The numbers are 21, 23, and 25</em>

3)

x will be the middle number

Even numbers are 2 numbers apart, so the first number is x-2, and the third is x+2.

This means that:

x-2+x+x+2=138

x+x+x=138

3x=138

x=46

<em>The numbers are 44, 46, and 48.</em>

4)

x will be the middle number.

x-1=first number, x+1=third number

x-1+x+x+1=-9

3x=-9

x=-3

<em>The numbers are -4, -3, and -2.</em>

3 0
3 years ago
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