All categories

3 years ago

What is the value of x?

Mathematics

2 answers:

lorasvet [3.4K]3 years ago

6 0

Answer:

x=9

Step-by-step explanation:

We can use similar triangles and ratios. Put the small triangle side over the large triangle side.

9cm 3x -20

---------- = ---------------- We need to add the sides to get to the larger triangle

72+9 cm 3x-20 + 56

We can cross multiply to solve

9 * (3x-20+56) = (72+9) * (3x-20)

Simplify

9*(3x+36) = 81*(3x-20)

Distribute

27x +324 = 243x -1620

Subtract 27x from each side

27x-27x +324 = 243x-27x -1620

324 = 216x-1620

Add 1620 to each side

324+1620 = 216x

1944 = 216x

Divide each side by 216

1944/216 = 216x/216

9=x

Art [367]3 years ago

6 0

Answer:

im not great at math but i think x=9

Step-by-step explanation:

9/72=0.125

72*0.125=9

so 56*0.125=7

therefore 3x-20=7

solve for x

3x - 20 = 7

3x = 7 + 20

3x = 27 (divide both sides by 3 to get x)

3x/3 = 27/3

x = 9

......

.......

or you can try

56/72=0.77777777777

72*0.77777777777=56

so 9*0.77777777777=7

therfore 3x-20=7

solve for x

3x - 20 = 7

3x = 7 + 20

3x = 27 (divide both sides by 3 to get x)

3x/3 = 27/3

x = 9

You might be interested in

Please help! What are the piecewise functions for this graph? Which means, what is d(t)?

Anna11 [10]

Answer:

idk

Step-by-step explanation:

6 0

3 years ago

Find the product of 6/9 and 3/8 . Express your answer in simplest form.A.6/24 B.1/6 C.18/72 D.1/4

leonid [27]

Answer:

D.) 1/4

Step-by-step explanation:

6/9 x 3/8

6(3) /8(9)

= 18/72

18/18=1

72/18=4

= D.) 1/4

8 0

3 years ago

Read 2 more answers

Voting in 2004 presidential election George Bush received 53.25% of the total electoral votes and john Kerry received 46.75% of

vovikov84 [41]

Answer:

George Bush received 286 votes and John Kerry received 251 votes.

Step-by-step explanation:

Total number of votes = 537

% of votes received by George Bush = 53.25 %

No. of votes recieved by George Bush = $\frac{53.25}{100}$ ×537

= 285.95

≈ 286 votes.

The rest of the votes were for John Kerry,

=537 - 286

= 251

3 0

3 years ago

I have been stuck on this question for 20 mins, the answers are not 2^10 or 1024!! Please help me. at the end part it says write

Usimov [2.4K]

Answer:

4 ^5

Step-by-step explanation:

When multiplying, add the exponents together

4 0

3 years ago

Divide the sum of -13/5 and 12/7 by the product of -31/7 and -1/2

andriy [413]

Let's compute the two factors separately: as for "the sum of -13/5 and 12/7", we have to rewrite the two fractions so that they have the same denominator. Since the least common multiple of 5 and 7 is 35, we will change both fractions so that they have denominator 35:

$\frac{-13}{5} = \frac{-13}{5}\frac{7}{7} = \frac{-91}{35} \qquad \qquad \frac{12}{7} = \frac{12}{7}\frac{5}{5} = \frac{60}{35}$

So now we can sum them:

$\frac{-13}{5}+\frac{12}{7} = \frac{-91}{35}+\frac{60}{35} = \frac{-91+60}{35} = \frac{-31}{35}$

Multiplication is easier, since you just have to multiply numerators and denominators with each others:

$\frac{-31}{7} \frac{-1}{2} = \frac{-31 \cdot (-1)}{7\cdot 2} = \frac{31}{14}$

Finally, we must divide the two fractions. Dividing by a fraction is the same this as multiplying by the inverse of that fraction, i.e. we have to switch numerator and denominator:

$\frac{-31}{35} \div \frac{31}{14} = \frac{-31}{35} \cdot \frac{14}{31} = -\frac{2}{5}$

8 0

3 years ago