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Naddika [18.5K]
3 years ago
10

Dividing my dog’s age by 4 and adding 6 is the same as dividing my dog’s age by 8 and adding 8.

Mathematics
1 answer:
sergiy2304 [10]3 years ago
4 0

Answer:

16

Step-by-step explanation:

a = age

  1. \frac{a}{4}  + 6 =  \frac{a}{8}  + 8
  2. you will multiply by 8 now
  3. 2a + 48 = a + 64
  4. now move a's with a's and the numbers that don't have a variable with each other
  5. 2a - a = 64 - 48
  6. now subtract
  7. a = 16
  8. I hope it helps you!

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For a given angle θ, sin θ = 1. What is cos θ?
sergiy2304 [10]

Answer:

sin90 =1

cos 90 = 0

Step-by-step explanation:

θ = 90 degrees

5 0
3 years ago
one bus leaves a stop every 9 minutes a second bus leaves every 15 minutes if they both leave at 1:25 at what time will they nex
aleksandrvk [35]
<span>In this question you need to find the lowest common multiple. I like to do it the factor tree way:<span>
<span>      15             9</span>
    /   \           / \
   3    5        3   3
See how there are both a 3 in the 15 factor tree and there is at least on three in the 9 factor tree. So when you find the LCM, you combine the two threes from the different factor trees like this:
3 x 5 x 3 = 45
So every 45 minutes the bus would be at the bus stop together

Now simply add the 45mins onto the 1:25 

<span>Answer: 2:10  </span></span></span>
3 0
3 years ago
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Taya2010 [7]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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Suppose ABCD is a rhombus with AB = 12 inches. The midpoints of its sides are joined to form a quadrilateral. What type of quadr
MrRissso [65]

Answer:

A rectangle

Step-by-step explanation:

The given parameters are;

The quadrilateral ABCD is a rhombus;

The length of the sides of the rhombus = 12 inches

The lengths of the sides of a rhombus are equal

The opposite interior angles of the rhombus are equal

The length of each midpoint from the vertex = 12 in./2  = 6 in.

Therefore, we have;

The line joining the midpoints form a quadrilateral with the length of the opposite sides equal

The sum of the interior angles of the rhombus = 180°

From the diagram created with Microsoft Visio, we have;

4·a + 4·b + 360 = 4 × 180 = 360 + 360

4·a + 4·b = 360

a + b = 90°

We have;

The interior angles of the quadrilateral formed = x

a + b + x = 180° Sum of angles on a straight line

∴ x = 180° - (a + b) = 180° - 90° = 90°

x = 90°

Therefore, the interior angles of the quadrilateral formed = 90°

The quadrilateral formed having equal opposite sides, and all interior angle of 90° each is a rectangle

6 0
3 years ago
Determine the measure of each indicated angle. Show all necessary steps!
Rasek [7]

a)

We know that a 4-sided polygon's angles add up to 360 degrees

so to find x:

360-(69+118+84)=89 degrees

b)

For a 4-sided polygon we also know that the outside angles add up to 360 degree.

so to find p:

360-(100+62+106)=92 degrees

Hope it helps!

3 0
2 years ago
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