Ask question

Ask question

All categories

2 years ago

13

The diagram is not drawn to scale Find the value of x.

1 answer:

Artyom0805 [142]2 years ago

8 0

The 30 units line is the midpoint of the two sides it’s joining(as it cuts both as 21,21 and 44,44)
Therefore we can use midpoint theorem to say that x = 60 ( the line joining the midpoints of two lines is parallel and half of the third line in a triangle)

You might be interested in

If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

6 0

2 years ago

I need help on all of this cuz I don’t get it

OleMash [197]

I've got three photos for the answers but they don't include 31 or 32.

8 0

3 years ago

An equation is shown below:

lisov135 [29]

Answer: x = 1

Step-by-step explanation:

5 ( 2x - 8 ) + 15 = -15 (write the equation)

5 ( 2x - 8 ) = -30 (subtract by 15 on both sides)

2x - 8 = -6 (divide by 5 on both sides)

2x = 2 (add 8 to both sides)

x = 1 (divide by 2 on both sides)

5 0

2 years ago

Read 2 more answers

HELP! Will give branliest!!

nirvana33 [79]

Answer:

10y + 29 ≤ -23

Step-by-step explanation:

subtract 29 from each side to get:

10y ≤ -52

y ≤ -5.2

3 0

3 years ago

Lisa has a certain amount of money. She spent 39 dollars and has 3/4th of the original amount left. How much money did she have

harina [27]

If $\frac { 3 }{ 4 }$ is left, that means $\frac { 1 }{ 4 }$ was spent. So $\frac { 1 }{ 4 }$ of the total amount is equal to 39.. Let's say x to the total amount. $\frac { 1 }{ 4 } \cdot x=39\\ x=4\cdot 39\\ x=156\\$

4 0

3 years ago

Read 2 more answers