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Leona [35]
3 years ago
15

HELP!!!

Mathematics
1 answer:
Scilla [17]3 years ago
6 0
When we bisect an angle, the angle is cut in half. This means that ∠ABD = ∠DBC = 1/2 ∠ABC
Now that that's settled, we can set up the equation:
3x + 36 = 1/2(7x)
Multiply both sides by 2:
2(3x + 36) = 7x
Distribute:
6x + 72 = 7x
Isolate the variable by subtracting 6x:
72 = x

Now that you know x, you can solve for ∠ABD. And because that's equal to ∠DBC, you'll be getting that answer, too.
Therefore, the answer is B. 72

Hope this helped! Let me know if you have any questions and mark me Brianliest please:)
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Kevin is 4 times as old as Daniel and is also 6 years older than Daniel.<br> How old is Kevin?
tester [92]

Answer:

kevin = 8 - hope this helped

:)

Step-by-step explanation:

Kevin = 4d  Kevin is 4 times as old as Daniel

Kevin = d + 6  Kevin is 6 years older than Daniel

4d = d + 6 They both equal K, so they are equal

3d = 6 subtracts D from both sides

d=6/3 = 2

If Daniel is 2 then Kevin is 4x2=8

If Daniel is 2 then Kevin is 2+6 = 8

Kevin is 8

Daniel is 2

3 0
2 years ago
A triangle has 2 sides that equal 5 inches. The other side equals 4 inches
miskamm [114]

Answer:

Isosceles triangle

Step-by-step explanation:

It is assumed that the triangle is a right angle triangle, implying that Pythagoras theorem becomes applicable.

If the first side is represented by x and the second side by y,

x + y = 5

The hypotenuse is always the longest side hence it can be presumed to be 4 since both x and y cannot be more than 5.

Therefore using pythagoras equation:

hyp^2 = sqrt(opp^2 + adj^2)

this implies that

4^{2} = \sqrt{x} (x^{2} +y^{2}

therefore

16 = sqrt (x^2 + y^2) ----------------- (i)

since x + y = 5, y = 5 - x ------------------- (ii)

substituting (ii) into eqn (i)

16 = sqrt ( x^2 + (5-X)^2)

16 = sqrt( x^2 + 25 -10x + x^2)

16 = sqrt( x^2 + x^2 - 10x + 25)

16 = sqrt( 2x^2 - 10x + 25)

squaring both sides

256 = 2x^2 - 10x + 25

this can be refined as

2x^2 - 10x - 231 = 0

Solving using quadratic equation:

where a = 2, b = -10 and c = -231

x = 13.53  or -8.53.

Since x is a side of a triangle that cannot be negative,

x = 13.53 but x can never be greater than 5 since x + y = 5

This implies that the triangle is not a right angle triangle; it is most likely an  isosceles triangle with two sides of equal length such that x = y = 2.5 inches while the longest side; the hypotenuse is 4 inches.

substituting for x in

4 0
3 years ago
Round each number to the nearest hundred and estimate the sum. 1,382 + 966
Daniel [21]

Answer:

1,500

Step-by-step explanation:

1,382 + 966

Rounding to the nearest hundred would be:

1,400 + 1000

= 1,500

8 0
3 years ago
7.25t + 6 = 13.5t + 11<br><br><br> The solution is t =
hodyreva [135]

Answer:

the answer is 0.24 jjjjjjjjjjjjjj

5 0
3 years ago
Read 2 more answers
Write two ratios equivalent to 24 : 9.
notsponge [240]

Answer:

8:3

16:6

Step-by-step explanation:

First, let's check if 9 and 24 have any common factor. If they do have any common ones, we must find the GCF (greatest common factor).

Factors of 9: 1, 3, 9

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

The common factors both of the numbers share and 1 and 3. To find the GCF, simply compare one of the factors to the other.

1 < 3

Now that we know the GCF, we can divide the two numbers in the ratio 24 : 9 by it (3).

24:9

24/3:9/3

<u>8:3</u>

Now that our ratio is simplified, it's going to be much easier to find more ratios that are equivalent. <u>8:3</u> is already one equivalent ratio, but if we multiply each number in the ratio by any other number, we can get a new equivalent ratio. Let's multiply each number in the ratio by 2:

<u>8:3</u>

8 ⋅ 2:3 ⋅ 2

<u>16:6</u>

<u></u>

So, another equivalent ratio to 24:9 (and <u>8:3</u>) is <u>16:6</u>.

3 0
3 years ago
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