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2 years ago

Solve for x using the given diagram

Mathematics

1 answer:

blagie [28]2 years ago

7 0

Answer:

Step-by-step explanation:

Look a t the picture.

The triangles on the picture are similar.

Therefore the sides are in proportion:

$\dfrac{8x}{10}=\dfrac{4}{5x}$ <em>cross multiply</em>

$(8x)(5x)=(4)(10)$

$40x^2=40$ <em>divide both sides by 40</em>

$x^2=1\to x=\sqrt1\\\\x=1$

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What is the solution to this equation? <br> log_7 (5 + 11x) = 2

11111nata11111 [884]

Answer:

x = 4

Step-by-step explanation:

Using the rule of logarithms

$log_{b}$ x = n , then x = $b^{n}$

Given

$log_{7}$ (5 + 11x) = 2 , then

5 + 11x = 7² = 49 ( subtract 5 from both sides )

11x = 44 ( divide both sides by 11 )

x = 4

5 0

2 years ago

According to a certain central bank from 2000 to 2016 the average price of a new home in a certain region increased by 62 % to $

Alla [95]

Answer: $ 290 thousand

Step-by-step explanation:

Given : According to a certain central bank from 2000 to 2016 the average price of a new home in a certain region increased by 62 % to $470 thousand.

Let X be the the average price of a new home in 2000 .

Then , the 62 % increase in price is given by :-

$x+0.62(x)=x(1+0.62)=1.62x$

Since , the the average price of the home in 2016 = $470 thosand

$1.62x=470\\\\\Rightarrow\ x=\dfrac{470}{1.62}=290.12345679\approx290$

Hence, the average price of a new home in 2000 = $ 290 thousand .

3 0

3 years ago

What is fifty five hundredths plus twenty five hundredths

Maksim231197 [3]

That would be 8000.. hope it helps

6 0

3 years ago

Read 2 more answers

(6×5)×_=3,000 complete the pattern

Art [367]

(6×5)×100=3,000 Since 6×5=30×100=3,000

5 0

3 years ago

The distance between two villages is 0.625 km. Find the length in centimetres between the two villages on a map with a scale of

seropon [69]

Answer:

3125 cm

Step-by-step explanation:

The distance between two villages is 0.625 km. Find the length in centimetres between the two villages on a map with a scale of 1:5000.

We are given the scale of

1: 5000

This means

1 km = 5000 cm

Hence:

1 km = 5000cm

0.625 km = x cm

Cross Multiply

x cm = 0.625 × 5000 cm

x cm = 3125 cm

Therefore, the length in centimetres between the two villages is 3125cm

5 0

2 years ago