Answer:
x = 20°
f = 40°
Step-by-step explanation:
4x + 5x = 180°
because a straight line is 180°
so 9x = 180°
1x = 180 ÷ 9
1x = 20
all angles in a triangle add together is 180°
so 7x + f = 180°
1x = 20
7x = 20 × 7
7x = 140°
f = 180° - 140 °
f = 40°
Answer:

Step-by-step explanation:
<u>Addition Law for Probability</u>

Given:



Substitute the given values into the formula and solve for P(A ∩ B):





Step-by-step explanation and answers:
300 articles at a total cost of $1500:
$1500 / 300 = $5 / article
Sells 260 articles at a price 20% above this ^ price:
20% of $5 is $1, so $5 + $1 = $6
Then he sells 260 articles at the price of ^ $6
260 * $6 = $1560
Each of the remaining articles is sold at a price that's 50% of the 260 he sold.
He sold those for $6, so he would now sell the last 40 for $3
From the remaining 40 articles, he makes 40 * $3, or $120
The shopkeeper made $1560 + $120 = $1680, which is $180 more than he bought them for ($1500)
Therefore, he made a profit percentage of $180 / $1500, (the amount of profit over the amount spent).
He made a profit percentage, compared to the cost price, of 12%.
It can be solved by factoring or taking the root of both sides.
x= 2 radical 3. and -2 radical 3
Answer:
7935
Step-by-step explanation:
The required number consists of digits 3,5,7,9.
3 in 843 appears in the units place. In the required number 3 has a value which is ten times that in 843. So in the required number 3 appears in the tens place.
9 in 34629 appears in the units place. In the required number 9 has a value which is hundred times that in 34629. So in the required number 9 appears in the hundreds place.
7 in 4782 appears in the hundreds place. In the required number 7 has a value which is ten times that in 4782. So in the required number 7 appears in the thousands place.
5 is in the remaining place.
So the required number is 7935