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zhuklara [117]
3 years ago
8

Carol is three times older than andrew. brad is two years older than andrew. in six years, the sum of andrew’s and brad’s ages w

ill be the same as carol’s age. how old is carol?
Mathematics
1 answer:
sergejj [24]3 years ago
4 0
Call x Andrew's age.

Then, Carol is 3 times older => Carol's age is 3x

And, Brad is 2 year older than Andrew => Brad's ages x + 2

In six years, Carol's age will be 3x + 6, Brad's age will be x + 2 + 6 and Andrew's age will be x + 6

Then, the sum of Andrew's and Brad's ages in six years will be:

(x + 6)+ (x + 2 + 6) = 3x + 6

Now, you can solve the equation:

x + 6 + x + 8 = 3x + 6

=> 3x - x - x = 8

=> x = 8.

So, today Carol's age = 3x = 3(8) = 24.

Answer: 24 years
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For a regular 36-gon, what is the sum of measure of each interior angle?
ser-zykov [4K]

Answer:

170°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2)

Here n = 36, thus

sum = 180° × 34 = 6120°

The size of each interior angle = \frac{6120}{36} = 170°

7 0
3 years ago
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UkoKoshka [18]
Factors that are 1 and itself.
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3 years ago
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If mZBAC = (7x + 1) º and<br> mZBCA = (52 + 9) . what is the<br> measure of the vertex angle?
nata0808 [166]
<h3>Answer:  122 degrees</h3>

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

Explanation:

Angle BAC can be shortened to "angle A" since the letter A is in the middle.

Angle BCA can be shortened to "angle C" for similar reasoning.

We're told that angles A and C are base angles. For any isosceles triangle, the base angles are congruent

-----------

Let's use this fact to solve for x.

angle A = angle C

7x+1 = 5x+9

7x-5x = 9-1

2x = 8

x = 8/2

x = 4

Once we know what x is, we can find each base angle

  • angle A = 7x+1 = 7*4+1 = 28+1 = 29
  • angle C = 5x+9 = 5*4+9 = 20+9 = 29

Both angles A and C are 29 degrees each, so this confirms we have the correct x value.

-----------

The last step is to use the fact that all three angles of a triangle add to 180 degrees. This will help us find angle B, which is the vertex angle.

A+B+C = 180

29+B+29 = 180

B+58 = 180

B = 180-58

B = 122

The vertex angle is 122 degrees.  

So we can say either angle B = 122, or we could say angle ABC = 122

"angle ABC" is the same as "angle CBA".

3 0
3 years ago
Questions are in the screenshot.
White raven [17]

For question 4, x = 18 units,

For question 5, x = 8.333 units.

Step-by-step explanation:

Step 1:

Since the given polygons are similar to each other, all the ratios of one polygon to the other will remain equal for all the values of the two similar polygons.

We take the ratio of the same sides of both polygons i.e. the ratio of the lengths or the ratio of the widths.

Step 2:

For question 4, the first rectangle has a length of 9 units while the width is 3 units.

For the second rectangle, the length is x as x is greater than the width in the first rectangle. The width is 6 units.

The ratio of the first rectangle to the second is;

\frac{3}{6} : \frac{9}{x} , x = (9)(\frac{6}{3} ) = 18. So x = 18 units.

Step 3:

The shapes in question 5 are made of a square and a triangle.

For the first shape, the side length is 6 units while the side of the triangle is 10 units.

For the second shape, the side length is 5 units while the side of the triangle is x units.

The ratio of the first shape to the second is;

\frac{6}{5} : \frac{10}{x} , x = (10)(\frac{5}{6} ) = 8.333. So x = 8.333 units.

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lesantik [10]

The bottom one

Basically the question is what graph shows a number below or equal to -1

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