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madam [21]
3 years ago
5

Ten more than half of a number is eight less than twice the number. What is the number?

Mathematics
1 answer:
Neporo4naja [7]3 years ago
8 0
Ten (10) more than (+) half (\frac{1}{2}) of a number (x) is (=) eight (8) less than (-) twice (2 x ) the number (x).

\frac{1}{2}x + 10 = 2x - 8   Multiply both sides by 2
x + 20 = 4x - 16   Subtract x from both sides
20 = 3x - 16         Add 16 to both sides
36 = 3x                Divide both sides by 3
12 = x
You might be interested in
What is x to the power of 3 divided by x to the power of -5
Veseljchak [2.6K]
X to the power of 8
When dividing powers, you subtract the "small numbers". When multiplying, you add them. 3-(-5) = 8

Hope it helps!
4 0
3 years ago
Find UV (Pic Stated Below)
natta225 [31]

Answer:

UV=29

Step-by-step explanation:

In right triangles AQB and AVB,

∠AQB = ∠AVB ...(i)  {Right angles}

∠QBA = ∠VBA ...(ii)  {Given that they are equal}

We know that sum of all three angles in a triangle is equal to 180 degree. So wee can write sum equation for each triangle


∠AQB+∠QBA+∠BAQ=180 ...(iii)

∠AVB+∠VBA+∠BAV=180 ...(iv)


using (iii) and (iv)

∠AQB+∠QBA+∠BAQ=∠AVB+∠VBA+∠BAV

∠AVB+∠VBA+∠BAQ=∠AVB+∠VBA+∠BAV  (using (i) and (ii))

∠BAQ=∠BAV...(v)


Now consider triangles AQB and AVB;

∠BAQ=∠BAV  {from (v)}

∠QBA = ∠VBA {from (ii)}

AB=AB  {common side}

So using ASA, triangles AQB and AVB are congruent.

We know that corresponding sides of congruent triangles are equal.

Hence

AQ=AV

5x+9=7x+1

9-1=7x-5x

8=2x

divide both sides by 2

4=x

Now plug value of x=4 into UV=7x+1

UV=7*4+1=28+1=29

<u>Hence UV=29 is final answer.</u>

7 0
3 years ago
What is 0.95 in simplest form
solong [7]
0.95 \times \frac{100}{100} = \frac{95}{100} = \frac{19 \times 5}{20\times 5}\\\\ = \boxed{\bf{\frac{19}{20}}}

0.95 in simplest form is 19/20
5 0
3 years ago
Type SSS, SAS, ASA, SAA, or HL to<br> describe these triangles.
Bingel [31]

Answer:

SAS

Step-by-step explanation:

There is one common side (S)

both the triangles have 90° common (A)

Opposite sides are equal which is given (S)

They both are right angled triangles

5 0
2 years ago
How is the number 0.000005 written in scientific notation?
nirvana33 [79]

Answer:      The answer is A. 5.0 x 10-5

i hope it helps. Have a nice day                                                                                                                  

Step-by-step explanation:

the decimal number 0.00005 written in scientific notation is 5 × 10-5

4 0
2 years ago
Read 2 more answers
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