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gtnhenbr [62]
3 years ago
9

If B is between A and C, AB= x+6, BC= 5x -4, and AC= 12x - 20, then x=?

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
6 0

Answer:

3.7

Step-by-step explanation:

x+6+5x-4=12x-20

6x+2=12x-20

20+2=12x-6x

22=6x

x=22/6=3.7

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Can someone help please
REY [17]

Answer:

<em>HT </em>= 17

<<em>T</em> = 62°

<<em>H</em> = 28°

Step-by-step explanation:

1. Use the Pythagorean Theorem to find the length of the missing side.

a² + b² = c²

15² + 8² = c²

225 + 64 = c²

289 = c²

√289 = c

c = 17

The length of side HT is 17.

2. Use SOHCAHTOA to find the measure of <<em>T</em>. Since we know the measure of two sides, opposite (15) and adjacent (8), use the formula for tangent as tangent is opposite/adjacent.

Tangent = \frac{opposite}{adjacent}  = \frac{15}{8} = 1.875

Use the tan⁻¹ button on the calculator to find the value for <<em>T.</em>

tan⁻¹(1.875) = 61.9°

<<em>T = </em>62°

3. To find the measure of <<em>H, </em>you can either add up the two angles and subtract from 180° or use SOHCAHTOA.

90° + 61.9° + x = 180°

151.9° + x = 180°

x = 28°

or

We know two sides: opposite (8) and adjacent (15). So, we will use tangent.

Tangent = \frac{opposite}{adjacent} =  \frac{8}{15} = 0.5333333333

Take the tan⁻¹ to get the measure of <<em>H.</em>

tan⁻¹(0.5333333333) = 28.07 = 28°

Hope this helps. Please give a thanks and mark as brainliest. :)

6 0
3 years ago
M = 3 and the point is (6, 18). Put this into slope-int form
Nat2105 [25]

Answer: 18=3(6) + b

Step-by-step explanation: I do not know what b is.

4 0
3 years ago
Let m be the side length of the fourth smallest possible square with integer value of its area, and let n be the sum of all prim
Natali [406]

Answer:

510

Step-by-step explanation:

It's assumed 0 is not an integer.

M is obviously 2. The area of a square is the square of its side length. If this area must be an integer, then it must be the fourth integer, which is 4. The side length, M=\sqrt{4} = 2

A prime number is a positive integer which can be divided exactly by only itself and 1. In fact, it has only those two factors. The last statement excludes 1 as a prime number. Hence, the prime numbers less than 10 are 2, 3, 5 and 7. Their sum is N=2+3+5+7=17.

To evaluate MN(N-M),

2\times17(17-2)=34\times15=510

6 0
3 years ago
Pete glues a rope around his rectangular rodeo sign. His sign has side length of 2 feet and 3 feet.The rope cost $4 for each foo
andreyandreev [35.5K]

Answer:

$20 because 2x4=8 3x4=12 12+8=20

Step-by-step explanation:

8 0
3 years ago
F(x)=-3(5)^x;x=3<br> What is the answer step by step
Harrizon [31]

Answer:

Loading...

Step-by-step explanation:

3 0
3 years ago
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