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SOVA2 [1]
3 years ago
15

Half a number x minus 5 is 11

Mathematics
1 answer:
ASHA 777 [7]3 years ago
6 0

Answer:

1/2x - 5 = 11

x = 28

Step-by-step explanation:

This is the answer because:

1) 1/2 a number means to multiply a number (x) to get half of the number. Therefore, we have to multiply 1/2 with x

2) Next, it says minus 5 which means to subtract 1/2x with 5

3) Finally, it says all of this equal to 11, so the final equation would be

1/2x - 5 = 11

4) x = 28 because half of 28 is 14. 14 minus 5 is equal to 11.

Hope this helps!

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Find the total surface area of the figure.
Ratling [72]

Answer:

8x6x4=192. So, the answer is 192.

7 0
2 years ago
The equation Ax+By=10 goes through the coordinates (6,5) and (-2,-5).What are the values of A and B
wolverine [178]

Given:

The equation Ax+By=10 goes through the coordinates (6,5) and (-2,-5).

To find:

The values of A and B.

Solution:

We have,

Ax+By=10

It goes through the coordinates (6,5) and (-2,-5). It means these points will satisfy the equation.

A(6)+B(5)=10

6A+5B=10       ...(i)

A(-2)+B(-5)=10

-2A-5B=10       ...(ii)

Adding (i) and (ii), we get

(6A+5B)+(-2A-5B)=10+10

4A=20

Divide both sides by 4.

A=5

Put A=5 in (i), we get

6(5)+5B=10

30+5B=10

5B=10-30

5B=-20

Divide both sides by 5.

B=-4

Therefore, the values of A and B are 5 and -4 respectively.

3 0
2 years ago
What is the slope of the graph of y=12x-19 ?
BigorU [14]

Answer:

12

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Help could you explain step by step?
mel-nik [20]

Answer:

x = 2 , y = 11

Step-by-step explanation:

the diagonals of a parallelogram bisect each other , then

PT = TR , that is

y = 5x + 1 → (1)

QT = TS , that is

2y = 6x + 10 → (2)

substitute y = 5x + 1 into (2)

2(5x + 1) = 6x + 10

10x + 2 = 6x + 10 ( subtract 6x from both sides )

4x + 2 = 10 ( subtract 2 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

substitute x = 2 into either of the 2 equations for corresponding value of y

substituting into (1)

y = 5(2) + 1 = 10 + 1 = 11

6 0
1 year ago
Read 2 more answers
In the isosceles △ABC m∠ACB=120° and AD is an altitude to leg BC . What is the distance from D to base AB , if CD=4cm?
snow_lady [41]

If ΔACB is an isosceles triangle, then ∠A ≅ ∠B and AC ≅ CB

Since ∠C = 120° and ∠A + ∠B + ∠C = 180°, then ∠A = 30° and ∠B = 30°

Next, look at ΔADB.  ∠A + ∠D + ∠B = 180°, so ∠A + 90° + 30° = 180° ⇒ ∠A = 30°

Now look at ΔADC.  Since ∠A = 30° in ΔACB, and ∠A = 60° in ΔADB, then ∠A = 30° in ΔADC <em>per angle addition postulate.</em>

Now that we have shown that ΔADB and ΔADC are 30-60-90 triangles, we can use that formula to calculate the side lengths.

CD = 4 cm (given) so AC = 2(4 cm) = 8 cm

Since AC ≅ BC, then BC = 8 cm. Therefore, BD = 4 + 8 = 12 <em>by segment addition postulate.</em>

Lastly, look at ΔBHD.  Since ∠B = 30° and ∠H = 90°, then ∠D = 60°. So, ΔBHD is also a 30-60-90 triangle.

BD = 12 cm, so HD = \frac{12}{2}cm = 6 cm

Answer: 6 cm



8 0
3 years ago
Read 2 more answers
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